20 Commits

Author SHA1 Message Date
1993cb74d9 Improve readability of the code 2025-05-18 23:14:30 +02:00
50ae08855b Move update logic out of main code 2025-05-18 23:07:42 +02:00
dc55012963 Simplify code 2025-05-18 23:04:31 +02:00
156c32be67 Move inputs into one loop 2025-05-18 23:00:41 +02:00
6e4f6a5009 Update DGP + app 2025-05-18 22:57:12 +02:00
5337e434b3 Align input width and plot width 2025-05-18 22:45:13 +02:00
7a21162dc9 Update nonc input 2025-05-18 22:37:38 +02:00
ccd418a43a Update tailweight input 2025-05-18 22:24:03 +02:00
78b50f902a Fix sigma input range 2025-05-18 22:19:13 +02:00
1e8669ecc7 Update sigma input 2025-05-18 22:17:52 +02:00
f33e413893 Fix mu slider 2025-05-18 22:13:42 +02:00
f7de9da53a Update app.qmd (add inputs) 2025-05-18 22:11:57 +02:00
b3d5255898 Update app (controls) 2025-05-18 21:13:04 +02:00
9a2cef25df Adjust input size. 2025-05-18 21:07:24 +02:00
7a0c64676c Update app 2025-05-18 20:56:02 +02:00
f9f04f22b4 Simplify data basis 2025-05-18 01:58:20 +02:00
f768f88730 Completely fancify 2025-05-18 01:52:04 +02:00
6b304b4b32 Add nice transitions 2025-05-18 01:48:42 +02:00
87ee41b55d Make it d3 2025-05-18 01:13:04 +02:00
e26b20a017 Init simple web-app 2025-05-18 00:50:37 +02:00
84 changed files with 2159 additions and 24753 deletions

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@@ -1,7 +0,0 @@
#!/bin/sh
echo "Start pre-commit hook"
# Copy current state into sciebo on every commit
# This excludes .directories and .files inside of bernstein_paper
cp -r ./25_07_phd_defense/* ~/sciebo/PHD-Presentation-Backup

6
.gitignore vendored
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@@ -60,10 +60,12 @@ data/*
*.py.ipynb *.py.ipynb
# Potentially large but not binary # Potentially large but not binary
# *.svg *.svg
# Binary files # Binary files
*.pdf *.pdf
*.jpg
*.png
*.zip *.zip
*.gz *.gz
*.tar *.tar
@@ -84,5 +86,3 @@ data/*
# Ignore html files for now # Ignore html files for now
# TODO: Remove later # TODO: Remove later
*.html *.html
index_cache
index_files

3
.gitmodules vendored Normal file
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@@ -0,0 +1,3 @@
[submodule "02_crps_learning"]
path = 02_crps_learning
url = git@git.uni-due.de:dsee/papers/crps-learning-code.git

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@@ -1,8 +0,0 @@
{
"files.autoSave": "off",
"files.exclude": {
"**/.git": false,
".git": false
},
"todo-tree.tree.hideTreeWhenEmpty": false
}

1
02_crps_learning Submodule

Submodule 02_crps_learning added at bc6d15048c

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@@ -0,0 +1,31 @@
text_size <- 16
width <- 12
height <- 6
# col_lightgray <- "#e7e7e7"
# col_blue <- "#F24159"
# col_b_smooth <- "#F7CE14"
# col_p_smooth <- "#58A64A"
# col_pointwise <- "#772395"
# col_b_constant <- "#BF236D"
# col_p_constant <- "#F6912E"
# col_optimum <- "#666666"
# https://www.schemecolor.com/retro-rainbow-pastels.php
col_lightgray <- "#e7e7e7"
col_blue <- "#F24159"
col_b_smooth <- "#5391AE"
col_p_smooth <- "#85B464"
col_pointwise <- "#E2D269"
col_b_constant <- "#7A4E8A"
col_p_constant <- "#BC677B"
col_optimum <- "#666666"
col_auto <- "#EA915E"
T_selection <- c(32, 128, 512)
# Lambda grid
lamgrid <- c(-Inf, 2^(-15:25))
# Gamma grid
gammagrid <- sort(1 - sqrt(seq(0, 0.99, .05)))

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@@ -0,0 +1,539 @@
@article{aastveit2014nowcasting,
title = {Nowcasting GDP in real time: A density combination approach},
author = {Aastveit, Knut Are and Gerdrup, Karsten R and Jore, Anne Sofie and Thorsrud, Leif Anders},
journal = {Journal of Business \& Economic Statistics},
volume = {32},
number = {1},
pages = {48--68},
year = {2014},
publisher = {Taylor \& Francis}
}
@incollection{aastveit2019evolution,
title = {The Evolution of Forecast Density Combinations in Economics},
author = {Aastveit, Knut Are and Mitchell, James and Ravazzolo, Francesco and van Dijk, Herman K},
booktitle = {Oxford Research Encyclopedia of Economics and Finance},
year = {2019}
}
@article{atiya2020does,
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author = {Atiya, Amir F},
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}
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@article{bai2020does,
title = {Does crude oil futures price really help to predict spot oil price? New evidence from density forecasting},
author = {Bai, Lan and Li, Xiafei and Wei, Yu and Wei, Guiwu},
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}
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}
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}
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pages = {2773--2781},
year = {2018},
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}
@article{eddelbuettel2014rcpparmadillo,
title = {RcppArmadillo: Accelerating R with high-performance C++ linear algebra},
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}
@article{fragoso2018bayesian,
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number = {1},
pages = {1--28},
year = {2018},
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}
@inproceedings{gaillard2014second,
title = {A second-order bound with excess losses},
author = {Gaillard, Pierre and Stoltz, Gilles and Van Erven, Tim},
booktitle = {Conference on Learning Theory},
pages = {176--196},
year = {2014},
organization = {PMLR}
}
@incollection{gaillard2015forecasting,
title = {Forecasting electricity consumption by aggregating experts; how to design a good set of experts},
author = {Gaillard, Pierre and Goude, Yannig},
booktitle = {Modeling and stochastic learning for forecasting in high dimensions},
pages = {95--115},
year = {2015},
publisher = {Springer}
}
@inproceedings{gaillard2018efficient,
title = {Efficient online algorithms for fast-rate regret bounds under sparsity},
author = {Gaillard, Pierre and Wintenberger, Olivier},
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year = {2018}
}
@article{garcia2020short,
title = {Short-term European Union Allowance price forecasting with artificial neural networks},
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journal = {Entrepreneurship and Sustainability Issues},
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year = {2020}
}
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title = {Strictly proper scoring rules, prediction, and estimation},
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pages = {359--378},
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}
@article{gneiting2011comparing,
title = {Comparing density forecasts using threshold-and quantile-weighted scoring rules},
author = {Gneiting, Tilmann and Ranjan, Roopesh},
journal = {Journal of Business \& Economic Statistics},
volume = {29},
number = {3},
pages = {411--422},
year = {2011},
publisher = {Taylor \& Francis}
}
@article{gneiting2011making,
title = {Making and evaluating point forecasts},
author = {Gneiting, Tilmann},
journal = {Journal of the American Statistical Association},
volume = {106},
number = {494},
pages = {746--762},
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}
@article{gneiting2011quantiles,
title = {Quantiles as optimal point forecasts},
author = {Gneiting, Tilmann},
journal = {International Journal of forecasting},
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year = {2011},
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}
@article{hansen2008least,
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author = {Hansen, Bruce E},
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}
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}
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@book{hyndman2018forecasting,
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}
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title = {Combining forecast densities from VARs with uncertain instabilities},
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title = {Second-order quantile methods for experts and combinatorial games},
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}
@article{koop2013forecasting,
title = {Forecasting the European carbon market},
author = {Koop, Gary and Tole, Lise},
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}
@inproceedings{korotin2020mixing,
title = {Mixing past predictions},
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}
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@article{maciejowska2020pca,
title = {PCA Forecast Averaging—Predicting Day-Ahead and Intraday Electricity Prices},
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@article{zamo2020sequential,
title = {Sequential Aggregation of Probabilistic Forecasts--Applicaton to Wind Speed Ensemble Forecasts},
author = {Zamo, Micha{\"e}l and Bel, Liliane and Mestre, Olivier},
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}
@article{zhang2020load,
title = {Load probability density forecasting by transforming and combining quantile forecasts},
author = {Zhang, Shu and Wang, Yi and Zhang, Yutian and Wang, Dan and Zhang, Ning},
journal = {Applied Energy},
volume = {277},
pages = {115600},
year = {2020},
publisher = {Elsevier}
}

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/*-- scss:defaults --*/
$body-bg: #ffffff;
$body-color: #7a6f69;
$link-color: #005088;
$selection-color: #00b0dc;
$presentation-heading-color: $selection-color;
$tabset-border-color: #bbb3b0;
/*-- scss:rules --*/

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25_07_phd_defense/index.qmd Normal file

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}
/* latin */
@font-face {
font-family: 'Patrick Hand';
font-style: normal;
font-weight: 400;
font-display: swap;
src: "./LDI1apSQOAYtSuYWp8ZhfYe8XsLL.woff2" format('woff2');
unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
}

View File

@@ -1,56 +0,0 @@
/* cyrillic-ext */
@font-face {
font-family: 'Roboto Condensed';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/robotocondensed/v30/ieVo2ZhZI2eCN5jzbjEETS9weq8-_d6T_POl0fRJeyWyosBD5XxxKA.woff2) format('woff2');
unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
}
/* cyrillic */
@font-face {
font-family: 'Roboto Condensed';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/robotocondensed/v30/ieVo2ZhZI2eCN5jzbjEETS9weq8-_d6T_POl0fRJeyWyosBK5XxxKA.woff2) format('woff2');
unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
}
/* greek-ext */
@font-face {
font-family: 'Roboto Condensed';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/robotocondensed/v30/ieVo2ZhZI2eCN5jzbjEETS9weq8-_d6T_POl0fRJeyWyosBC5XxxKA.woff2) format('woff2');
unicode-range: U+1F00-1FFF;
}
/* greek */
@font-face {
font-family: 'Roboto Condensed';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/robotocondensed/v30/ieVo2ZhZI2eCN5jzbjEETS9weq8-_d6T_POl0fRJeyWyosBN5XxxKA.woff2) format('woff2');
unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
}
/* vietnamese */
@font-face {
font-family: 'Roboto Condensed';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/robotocondensed/v30/ieVo2ZhZI2eCN5jzbjEETS9weq8-_d6T_POl0fRJeyWyosBB5XxxKA.woff2) format('woff2');
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}
/* latin-ext */
@font-face {
font-family: 'Roboto Condensed';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/robotocondensed/v30/ieVo2ZhZI2eCN5jzbjEETS9weq8-_d6T_POl0fRJeyWyosBA5XxxKA.woff2) format('woff2');
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}
/* latin */
@font-face {
font-family: 'Roboto Condensed';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/robotocondensed/v30/ieVo2ZhZI2eCN5jzbjEETS9weq8-_d6T_POl0fRJeyWyosBO5Xw.woff2) format('woff2');
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}

View File

@@ -1,81 +0,0 @@
/* cyrillic-ext */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVmZiArmlw.woff2) format('woff2');
unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
}
/* cyrillic */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVmQiArmlw.woff2) format('woff2');
unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
}
/* greek-ext */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVmYiArmlw.woff2) format('woff2');
unicode-range: U+1F00-1FFF;
}
/* greek */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVmXiArmlw.woff2) format('woff2');
unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
}
/* math */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVnoiArmlw.woff2) format('woff2');
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}
/* symbols */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVn6iArmlw.woff2) format('woff2');
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}
/* vietnamese */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVmbiArmlw.woff2) format('woff2');
unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
}
/* latin-ext */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVmaiArmlw.woff2) format('woff2');
unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
}
/* latin */
@font-face {
font-family: 'Roboto';
font-style: normal;
font-weight: 400;
font-stretch: 100%;
src: url(https://fonts.gstatic.com/s/roboto/v48/KFOMCnqEu92Fr1ME7kSn66aGLdTylUAMQXC89YmC2DPNWubEbVmUiAo.woff2) format('woff2');
unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
}

View File

@@ -1,56 +0,0 @@
/* cyrillic-ext */
@font-face {
font-family: 'Source Code Pro';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/sourcecodepro/v30/HI_diYsKILxRpg3hIP6sJ7fM7PqPMcMnZFqUwX28DMyQtMRrTEUc.woff2) format('woff2');
unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
}
/* cyrillic */
@font-face {
font-family: 'Source Code Pro';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/sourcecodepro/v30/HI_diYsKILxRpg3hIP6sJ7fM7PqPMcMnZFqUwX28DMyQtM1rTEUc.woff2) format('woff2');
unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
}
/* greek-ext */
@font-face {
font-family: 'Source Code Pro';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/sourcecodepro/v30/HI_diYsKILxRpg3hIP6sJ7fM7PqPMcMnZFqUwX28DMyQtMVrTEUc.woff2) format('woff2');
unicode-range: U+1F00-1FFF;
}
/* greek */
@font-face {
font-family: 'Source Code Pro';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/sourcecodepro/v30/HI_diYsKILxRpg3hIP6sJ7fM7PqPMcMnZFqUwX28DMyQtMprTEUc.woff2) format('woff2');
unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
}
/* vietnamese */
@font-face {
font-family: 'Source Code Pro';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/sourcecodepro/v30/HI_diYsKILxRpg3hIP6sJ7fM7PqPMcMnZFqUwX28DMyQtMZrTEUc.woff2) format('woff2');
unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
}
/* latin-ext */
@font-face {
font-family: 'Source Code Pro';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/sourcecodepro/v30/HI_diYsKILxRpg3hIP6sJ7fM7PqPMcMnZFqUwX28DMyQtMdrTEUc.woff2) format('woff2');
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}
/* latin */
@font-face {
font-family: 'Source Code Pro';
font-style: normal;
font-weight: 400;
src: url(https://fonts.gstatic.com/s/sourcecodepro/v30/HI_diYsKILxRpg3hIP6sJ7fM7PqPMcMnZFqUwX28DMyQtMlrTA.woff2) format('woff2');
unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
}

View File

@@ -1,15 +0,0 @@
title: Pointer
author: Posit Software, PBC
version: 0.1.0
quarto-required: ">=1.2.198"
contributes:
revealjs-plugins:
- name: RevealPointer
script: pointer.js
stylesheet: pointer.css
config:
pointer:
key: "q"
color: "red"
pointerSize: 16
alwaysVisible: false

View File

@@ -1 +0,0 @@
.cursor-dot,.cursor-dot-outline{pointer-events:none;position:absolute;top:0;left:0;border-radius:50%;opacity:0;transform:translate(-50%,-50%);transition:opacity 0.3s ease-in-out,transform 0.3s ease-in-out;}.cursor-dot{width:12px;height:12px;background-color:red;z-index:99;}.no-cursor{cursor:none;}.no-cursor a,.no-cursor div,.no-cursor span{cursor:none;}

View File

@@ -1 +0,0 @@
var RevealPointer=function(){"use strict";var e={backspace:8,tab:9,enter:13,shift:16,ctrl:17,alt:18,pausebreak:19,capslock:20,esc:27,space:32,pageup:33,pagedown:34,end:35,home:36,leftarrow:37,uparrow:38,rightarrow:39,downarrow:40,insert:45,delete:46,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,a:65,b:66,c:67,d:68,e:69,f:70,g:71,h:72,i:73,j:74,k:75,l:76,m:77,n:78,o:79,p:80,q:81,r:82,s:83,t:84,u:85,v:86,w:87,x:88,y:89,z:90,leftwindowkey:91,rightwindowkey:92,selectkey:93,numpad0:96,numpad1:97,numpad2:98,numpad3:99,numpad4:100,numpad5:101,numpad6:102,numpad7:103,numpad8:104,numpad9:105,multiply:106,add:107,subtract:109,decimalpoint:110,divide:111,f1:112,f2:113,f3:114,f4:115,f5:116,f6:117,f7:118,f8:119,f9:120,f10:121,f11:122,f12:123,numlock:144,scrolllock:145,semicolon:186,equalsign:187,comma:188,dash:189,period:190,forwardslash:191,graveaccent:192,openbracket:219,backslash:220,closebracket:221,singlequote:222};return function(){var t={},o=!1,a=null,n={x:0,y:0,isVisible:!1},i={x:0,y:0,scale:1};function l(o){var a;null==(t=o.pointer||{}).key?t.key="q":t.key=t.key.toLowerCase(),null!=t.pointerSize&&"number"==typeof t.pointerSize||(t.pointerSize=12),null!=t.tailLength&&"number"==typeof t.tailLength||(t.tailLength=10),null!=t.color&&"string"==typeof t.color||(t.color="red"),null!=t.alwaysVisible&&"boolean"==typeof t.alwaysVisible||(t.alwaysVisible=!1),t.keyCode=(a=t.key,e[a])}function s(){a.style.top="".concat((n.y-i.y)/i.scale,"px"),a.style.left="".concat((n.x-i.x)/i.scale,"px"),n.isVisible?a.style.opacity="0.8":a.style.opacity="0",1!==i.scale?(a.style.width="".concat(t.pointerSize/i.scale,"px"),a.style.height="".concat(t.pointerSize/i.scale,"px")):(a.style.width="".concat(t.pointerSize,"px"),a.style.height="".concat(t.pointerSize,"px"))}function c(e){n.x=e.pageX,n.y=e.pageY;var t=document.body.style.transform;""!==t?(i.x=Number.parseInt(/translate\((.*)px,/gm.exec(t)[1]),i.y=Number.parseInt(/px,\s(.*)px\)/gm.exec(t)[1]),i.scale=Number.parseFloat(/scale\((.)\)/gm.exec(t)[1])):(i.x=0,i.y=0,i.scale=1),requestAnimationFrame(s)}function r(){(o=!o)?(document.addEventListener("mousemove",c),document.body.classList.add("no-cursor"),n.isVisible=!0):(document.removeEventListener("mousemove",c),document.body.classList.remove("no-cursor"),n.isVisible=!1,requestAnimationFrame(s))}return{id:"pointer",init:function(e){var o;l(e.getConfig()),t.alwaysVisible?r():e.addKeyBinding({keyCode:t.keyCode,key:t.key},(function(){r()})),(o=document.createElement("div")).className="cursor-dot",o.style.width="".concat(t.pointerSize,"px"),o.style.height="".concat(t.pointerSize,"px"),o.style.backgroundColor=t.color,t.alwaysVisible&&(o.style.opacity="0.8"),document.body.appendChild(o),a=o}}}}();

View File

@@ -1,687 +0,0 @@
<?xml version="1.0" encoding="utf-8"?>
<style xmlns="http://purl.org/net/xbiblio/csl" class="in-text" version="1.0" demote-non-dropping-particle="never">
<info>
<title>American Psychological Association 6th edition ("DOI:" DOI prefix)</title>
<title-short>APA</title-short>
<id>http://www.zotero.org/styles/apa-old-doi-prefix</id>
<link href="http://www.zotero.org/styles/apa-old-doi-prefix" rel="self"/>
<link href="http://owl.english.purdue.edu/owl/resource/560/01/" rel="documentation"/>
<author>
<name>Simon Kornblith</name>
<email>simon@simonster.com</email>
</author>
<contributor>
<name>Bruce D'Arcus</name>
</contributor>
<contributor>
<name>Curtis M. Humphrey</name>
</contributor>
<contributor>
<name>Richard Karnesky</name>
<email>karnesky+zotero@gmail.com</email>
<uri>http://arc.nucapt.northwestern.edu/Richard_Karnesky</uri>
</contributor>
<contributor>
<name>Sebastian Karcher</name>
</contributor>
<contributor>
<name> Brenton M. Wiernik</name>
<email>zotero@wiernik.org</email>
</contributor>
<category citation-format="author-date"/>
<category field="psychology"/>
<category field="generic-base"/>
<updated>2017-09-05T01:06:39+00:00</updated>
<rights license="http://creativecommons.org/licenses/by-sa/3.0/">This work is licensed under a Creative Commons Attribution-ShareAlike 3.0 License</rights>
</info>
<locale xml:lang="en">
<terms>
<term name="editortranslator" form="short">
<single>ed. &amp; trans.</single>
<multiple>eds. &amp; trans.</multiple>
</term>
<term name="translator" form="short">
<single>trans.</single>
<multiple>trans.</multiple>
</term>
</terms>
</locale>
<macro name="container-contributors">
<choose>
<if type="chapter paper-conference entry-dictionary entry-encyclopedia" match="any">
<group delimiter=", ">
<names variable="container-author" delimiter=", ">
<name and="symbol" initialize-with=". " delimiter=", "/>
<label form="short" prefix=" (" text-case="title" suffix=")"/>
</names>
<names variable="editor translator" delimiter=", ">
<name and="symbol" initialize-with=". " delimiter=", "/>
<label form="short" prefix=" (" text-case="title" suffix=")"/>
</names>
</group>
</if>
</choose>
</macro>
<macro name="secondary-contributors">
<choose>
<if type="article-journal chapter paper-conference entry-dictionary entry-encyclopedia" match="none">
<group delimiter=", " prefix=" (" suffix=")">
<names variable="container-author" delimiter=", ">
<name and="symbol" initialize-with=". " delimiter=", "/>
<label form="short" prefix=", " text-case="title"/>
</names>
<names variable="editor translator" delimiter=", ">
<name and="symbol" initialize-with=". " delimiter=", "/>
<label form="short" prefix=", " text-case="title"/>
</names>
</group>
</if>
</choose>
</macro>
<macro name="author">
<names variable="author">
<name name-as-sort-order="all" and="symbol" sort-separator=", " initialize-with="." delimiter=", " delimiter-precedes-last="always"/>
<label form="short" prefix=" (" suffix=")" text-case="capitalize-first"/>
<substitute>
<names variable="editor"/>
<names variable="translator"/>
<choose>
<if type="report">
<text variable="publisher"/>
<text macro="title"/>
</if>
<else>
<text macro="title"/>
</else>
</choose>
</substitute>
</names>
</macro>
<macro name="author-short">
<choose>
<if type="patent" variable="number" match="all">
<text macro="patent-number"/>
</if>
<else>
<names variable="author">
<name form="short" and="symbol" delimiter=", " initialize-with=". "/>
<substitute>
<names variable="editor"/>
<names variable="translator"/>
<choose>
<if type="report">
<text variable="publisher"/>
<text variable="title" form="short" font-style="italic"/>
</if>
<else-if type="legal_case">
<text variable="title" font-style="italic"/>
</else-if>
<else-if type="book graphic motion_picture song" match="any">
<text variable="title" form="short" font-style="italic"/>
</else-if>
<else-if type="bill legislation" match="any">
<text variable="title" form="short"/>
</else-if>
<else-if variable="reviewed-author">
<choose>
<if variable="reviewed-title" match="none">
<text variable="title" form="short" font-style="italic" prefix="Review of "/>
</if>
<else>
<text variable="title" form="short" quotes="true"/>
</else>
</choose>
</else-if>
<else>
<text variable="title" form="short" quotes="true"/>
</else>
</choose>
</substitute>
</names>
</else>
</choose>
</macro>
<macro name="patent-number">
<!-- genre: U.S. Patent number: 123,445-->
<group delimiter=" ">
<group delimiter=" ">
<text variable="genre"/>
<text term="issue" form="short" text-case="capitalize-first"/>
</group>
<text variable="number"/>
</group>
</macro>
<macro name="access">
<choose>
<if type="thesis report" match="any">
<choose>
<if variable="DOI" match="any">
<text variable="DOI" prefix="DOI: /"/>
</if>
<else-if variable="URL" match="any">
<group>
<text variable="URL"/>
</group>
</else-if>
<else-if variable="archive" match="any">
<group>
<text term="retrieved" text-case="capitalize-first" suffix=" "/>
<text term="from" suffix=" "/>
<text variable="archive" suffix="."/>
<text variable="archive_location" prefix=" (" suffix=")"/>
</group>
</else-if>
</choose>
</if>
<else>
<choose>
<if variable="DOI">
<text variable="DOI" prefix="DOI: "/>
</if>
<else>
<choose>
<if type="post post-weblog webpage" match="any">
<group delimiter=" ">
<text term="retrieved" text-case="capitalize-first" suffix=" "/>
<group>
<date variable="accessed" form="text" suffix=", "/>
</group>
<text term="from"/>
<text variable="URL"/>
</group>
</if>
<else>
<group>
<text variable="URL"/>
</group>
</else>
</choose>
</else>
</choose>
</else>
</choose>
</macro>
<macro name="title">
<choose>
<if type="book graphic manuscript motion_picture report song speech thesis" match="any">
<choose>
<if variable="version" type="book" match="all">
<!---This is a hack until we have a computer program type -->
<text variable="title"/>
</if>
<else>
<text variable="title" font-style="italic"/>
</else>
</choose>
</if>
<else-if variable="reviewed-author">
<choose>
<if variable="reviewed-title">
<group delimiter=" ">
<text variable="title"/>
<group delimiter=", " prefix="[" suffix="]">
<text variable="reviewed-title" font-style="italic" prefix="Review of "/>
<names variable="reviewed-author" delimiter=", ">
<label form="verb-short" suffix=" "/>
<name and="symbol" initialize-with=". " delimiter=", "/>
</names>
</group>
</group>
</if>
<else>
<!-- assume `title` is title of reviewed work -->
<group delimiter=", " prefix="[" suffix="]">
<text variable="title" font-style="italic" prefix="Review of "/>
<names variable="reviewed-author" delimiter=", ">
<label form="verb-short" suffix=" "/>
<name and="symbol" initialize-with=". " delimiter=", "/>
</names>
</group>
</else>
</choose>
</else-if>
<else-if type="patent" variable="number" match="all">
<text macro="patent-number" font-style="italic"/>
</else-if>
<else>
<text variable="title"/>
</else>
</choose>
</macro>
<macro name="title-plus-extra">
<text macro="title"/>
<choose>
<if type="report thesis" match="any">
<group prefix=" (" suffix=")" delimiter=", ">
<group delimiter=" ">
<choose>
<if variable="genre" match="any">
<text variable="genre"/>
</if>
<else>
<text variable="collection-title"/>
</else>
</choose>
<text variable="number" prefix="No. "/>
</group>
<group delimiter=" ">
<text term="version" text-case="capitalize-first"/>
<text variable="version"/>
</group>
<text macro="edition"/>
</group>
</if>
<else-if type="post-weblog webpage" match="any">
<text variable="genre" prefix=" [" suffix="]"/>
</else-if>
<else-if variable="version">
<group delimiter=" " prefix=" (" suffix=")">
<text term="version" text-case="capitalize-first"/>
<text variable="version"/>
</group>
</else-if>
</choose>
<text macro="format" prefix=" [" suffix="]"/>
</macro>
<macro name="format">
<choose>
<if match="any" variable="medium">
<text variable="medium" text-case="capitalize-first"/>
</if>
<else-if type="dataset" match="any">
<text value="Data set"/>
</else-if>
</choose>
</macro>
<macro name="publisher">
<choose>
<if type="report" match="any">
<group delimiter=": ">
<text variable="publisher-place"/>
<text variable="publisher"/>
</group>
</if>
<else-if type="thesis" match="any">
<group delimiter=", ">
<text variable="publisher"/>
<text variable="publisher-place"/>
</group>
</else-if>
<else-if type="patent">
<group delimiter=": ">
<text variable="publisher-place"/>
<choose>
<if variable="publisher">
<text variable="publisher"/>
</if>
<else>
<text variable="authority"/>
</else>
</choose>
</group>
</else-if>
<else-if type="post-weblog webpage" match="none">
<group delimiter=", ">
<choose>
<if variable="event version" type="speech motion_picture" match="none">
<!-- Including version is to avoid printing the programming language for computerProgram /-->
<text variable="genre"/>
</if>
</choose>
<choose>
<if type="article-journal article-magazine article-newspaper" match="none">
<group delimiter=": ">
<choose>
<if variable="publisher-place">
<text variable="publisher-place"/>
</if>
<else>
<text variable="event-place"/>
</else>
</choose>
<text variable="publisher"/>
</group>
</if>
</choose>
</group>
</else-if>
</choose>
</macro>
<macro name="event">
<choose>
<if variable="container-title" match="none">
<choose>
<if variable="event">
<choose>
<if variable="genre" match="none">
<text term="presented at" text-case="capitalize-first" suffix=" "/>
<text variable="event"/>
</if>
<else>
<group delimiter=" ">
<text variable="genre" text-case="capitalize-first"/>
<text term="presented at"/>
<text variable="event"/>
</group>
</else>
</choose>
</if>
<else-if type="speech">
<text variable="genre" text-case="capitalize-first"/>
</else-if>
</choose>
</if>
</choose>
</macro>
<macro name="issued">
<choose>
<if type="bill legal_case legislation" match="none">
<choose>
<if variable="issued">
<group prefix=" (" suffix=")">
<date variable="issued">
<date-part name="year"/>
</date>
<text variable="year-suffix"/>
<choose>
<if type="speech" match="any">
<date variable="issued">
<date-part prefix=", " name="month"/>
</date>
</if>
<else-if type="article-journal bill book chapter graphic legal_case legislation motion_picture paper-conference report song dataset" match="none">
<date variable="issued">
<date-part prefix=", " name="month"/>
<date-part prefix=" " name="day"/>
</date>
</else-if>
</choose>
</group>
</if>
<else-if variable="status">
<group prefix=" (" suffix=")">
<text variable="status"/>
<text variable="year-suffix" prefix="-"/>
</group>
</else-if>
<else>
<group prefix=" (" suffix=")">
<text term="no date" form="short"/>
<text variable="year-suffix" prefix="-"/>
</group>
</else>
</choose>
</if>
</choose>
</macro>
<macro name="issued-sort">
<choose>
<if type="article-journal bill book chapter graphic legal_case legislation motion_picture paper-conference report song dataset" match="none">
<date variable="issued">
<date-part name="year"/>
<date-part name="month"/>
<date-part name="day"/>
</date>
</if>
<else>
<date variable="issued">
<date-part name="year"/>
</date>
</else>
</choose>
</macro>
<macro name="issued-year">
<choose>
<if variable="issued">
<group delimiter="/">
<date variable="original-date" form="text"/>
<group>
<date variable="issued">
<date-part name="year"/>
</date>
<text variable="year-suffix"/>
</group>
</group>
</if>
<else-if variable="status">
<text variable="status"/>
<text variable="year-suffix" prefix="-"/>
</else-if>
<else>
<text term="no date" form="short"/>
<text variable="year-suffix" prefix="-"/>
</else>
</choose>
</macro>
<macro name="edition">
<choose>
<if is-numeric="edition">
<group delimiter=" ">
<number variable="edition" form="ordinal"/>
<text term="edition" form="short"/>
</group>
</if>
<else>
<text variable="edition"/>
</else>
</choose>
</macro>
<macro name="locators">
<choose>
<if type="article-journal article-magazine" match="any">
<group prefix=", " delimiter=", ">
<group>
<text variable="volume" font-style="bold"/>
<text variable="issue" prefix="(" suffix=")"/>
</group>
<text variable="page"/>
</group>
<choose>
<!--for advanced online publication-->
<if variable="issued">
<choose>
<if variable="page issue" match="none">
<text variable="status" prefix=". "/>
</if>
</choose>
</if>
</choose>
</if>
<else-if type="article-newspaper">
<group delimiter=" " prefix=", ">
<label variable="page" form="short"/>
<text variable="page"/>
</group>
</else-if>
<else-if type="book graphic motion_picture report song chapter paper-conference entry-encyclopedia entry-dictionary" match="any">
<group prefix=" (" suffix=")" delimiter=", ">
<choose>
<if type="report" match="none">
<!-- edition for report is included in title-plus-extra /-->
<text macro="edition"/>
</if>
</choose>
<choose>
<if variable="volume" match="any">
<group>
<text term="volume" form="short" text-case="capitalize-first" suffix=" "/>
<number variable="volume" form="numeric"/>
</group>
</if>
<else>
<group>
<text term="volume" form="short" plural="true" text-case="capitalize-first" suffix=" "/>
<number variable="number-of-volumes" form="numeric" prefix="1&#8211;"/>
</group>
</else>
</choose>
<group>
<label variable="page" form="short" suffix=" "/>
<text variable="page"/>
</group>
</group>
</else-if>
<else-if type="legal_case">
<group prefix=" (" suffix=")" delimiter=" ">
<text variable="authority"/>
<choose>
<if variable="container-title" match="any">
<!--Only print year for cases published in reporters-->
<date variable="issued" form="numeric" date-parts="year"/>
</if>
<else>
<date variable="issued" form="text"/>
</else>
</choose>
</group>
</else-if>
<else-if type="bill legislation" match="any">
<date variable="issued" prefix=" (" suffix=")">
<date-part name="year"/>
</date>
</else-if>
</choose>
</macro>
<macro name="citation-locator">
<group>
<choose>
<if locator="chapter">
<label variable="locator" form="long" text-case="capitalize-first"/>
</if>
<else>
<label variable="locator" form="short"/>
</else>
</choose>
<text variable="locator" prefix=" "/>
</group>
</macro>
<macro name="container">
<choose>
<if type="post-weblog webpage" match="none">
<group>
<choose>
<if type="chapter paper-conference entry-encyclopedia" match="any">
<text term="in" text-case="capitalize-first" suffix=" "/>
</if>
</choose>
<group delimiter=", ">
<text macro="container-contributors"/>
<text macro="secondary-contributors"/>
<text macro="container-title"/>
</group>
</group>
</if>
</choose>
</macro>
<macro name="container-title">
<choose>
<if type="article article-journal article-magazine article-newspaper" match="any">
<text variable="container-title" font-style="italic" text-case="title"/>
</if>
<else-if type="bill legal_case legislation" match="none">
<text variable="container-title" font-style="italic"/>
</else-if>
</choose>
</macro>
<macro name="legal-cites">
<choose>
<if type="legal_case" match="any">
<group prefix=", " delimiter=" ">
<choose>
<if variable="container-title">
<text variable="volume"/>
<text variable="container-title"/>
<group delimiter=" ">
<!--change to label variable="section" as that becomes available -->
<text term="section" form="symbol"/>
<text variable="section"/>
</group>
<text variable="page"/>
</if>
<else>
<text variable="number" prefix="No. "/>
</else>
</choose>
</group>
</if>
<else-if type="bill legislation" match="any">
<group delimiter=", " prefix=", ">
<choose>
<if variable="number">
<!--There's a public law number-->
<text variable="number" prefix="Pub. L. No. "/>
<group delimiter=" ">
<!--change to label variable="section" as that becomes available -->
<text term="section" form="symbol"/>
<text variable="section"/>
</group>
<group delimiter=" ">
<text variable="volume"/>
<text variable="container-title"/>
<text variable="page-first"/>
</group>
</if>
<else>
<group delimiter=" ">
<text variable="volume"/>
<text variable="container-title"/>
<!--change to label variable="section" as that becomes available -->
<text term="section" form="symbol"/>
<text variable="section"/>
</group>
</else>
</choose>
</group>
</else-if>
</choose>
</macro>
<macro name="original-date">
<choose>
<if variable="original-date">
<group prefix="(" suffix=")" delimiter=" ">
<!---This should be localized-->
<text value="Original work published"/>
<date variable="original-date" form="text"/>
</group>
</if>
</choose>
</macro>
<citation et-al-min="3" et-al-use-first="1" et-al-subsequent-min="3" et-al-subsequent-use-first="1" disambiguate-add-year-suffix="true" disambiguate-add-names="true" disambiguate-add-givenname="true" collapse="year" givenname-disambiguation-rule="primary-name">
<sort>
<key macro="author"/>
<key macro="issued-sort"/>
</sort>
<layout prefix="(" suffix=")" delimiter="; ">
<group delimiter=", ">
<text macro="author-short"/>
<text macro="issued-year"/>
<text macro="citation-locator"/>
</group>
</layout>
</citation>
<bibliography hanging-indent="true" et-al-min="8" et-al-use-first="6" et-al-use-last="true" entry-spacing="0" line-spacing="2">
<sort>
<key macro="author"/>
<key macro="issued-sort" sort="ascending"/>
<key macro="title"/>
</sort>
<layout>
<group suffix=".">
<group delimiter=". ">
<text macro="author"/>
<text macro="issued"/>
<text macro="title-plus-extra"/>
<text macro="container"/>
</group>
<text macro="legal-cites"/>
<text macro="locators"/>
<group delimiter=", " prefix=". ">
<text macro="event"/>
<text macro="publisher"/>
</group>
</group>
<text macro="access" prefix=" "/>
<text macro="original-date" prefix=" "/>
</layout>
</bibliography>
</style>

View File

@@ -1,15 +1,15 @@
--- ---
title: "Knots-Demo" title: "Data Science Methods for Forecasting in Energy and Economics"
date: 2025-07-10 date: 2025-07-10
format: format:
revealjs: revealjs:
embed-resources: true embed-resources: true
footer: ""
execute: execute:
daemon: false daemon: false
highlight-style: github highlight-style: github
--- ---
```{ojs} ```{ojs}
d3 = require("d3@7") d3 = require("d3@7")
``` ```
@@ -86,31 +86,9 @@ chart = {
.style('width', '100%'); .style('width', '100%');
sliderCont.append('span').text(d => (d.label.match(/Sigma|Tailweight/) ? d.get() : d.get())) sliderCont.append('span').text(d => (d.label.match(/Sigma|Tailweight/) ? d.get() : d.get()))
.style('font-size','20px'); .style('font-size','20px');
// Add Reset button to clear all sliders to their defaults
controlsContainer.append('button')
.text('Reset')
.style('font-size', '20px')
.style('align-self', 'center')
.style('margin-left', 'auto')
.on('click', () => {
// reset state vars
selectedMu = 0.5;
selectedSig = 1;
selectedNonc = 0;
selectedTailw = 1;
// update input positions
sliderCont.selectAll('input').property('value', d => d.get());
// update displayed labels
sliderCont.selectAll('span')
.text(d => d.label.match(/Sigma|Tailweight/) ? (2**d.get()) : d.get());
// redraw chart
updateChart(filteredData());
});
// Build SVG // Build SVG
const width = 1200; const width = 800;
const height = 450; const height = 400;
const margin = {top: 40, right: 20, bottom: 40, left: 40}; const margin = {top: 40, right: 20, bottom: 40, left: 40};
const innerWidth = width - margin.left - margin.right; const innerWidth = width - margin.left - margin.right;
const innerHeight = height - margin.top - margin.bottom; const innerHeight = height - margin.top - margin.bottom;
@@ -127,7 +105,7 @@ chart = {
.range([0, innerWidth]); .range([0, innerWidth]);
const y = d3.scaleLinear() const y = d3.scaleLinear()
.domain([0, 1]) .domain([0, 0.7])
.range([innerHeight, 0]); .range([innerHeight, 0]);
// Create a color scale for the basis functions // Create a color scale for the basis functions
@@ -141,6 +119,15 @@ chart = {
.attr("preserveAspectRatio", "xMidYMid meet") .attr("preserveAspectRatio", "xMidYMid meet")
.attr("style", "max-width: 100%; height: auto;"); .attr("style", "max-width: 100%; height: auto;");
// Add chart title
// svg.append("text")
// .attr("class", "chart-title")
// .attr("x", width / 2)
// .attr("y", 20)
// .attr("text-anchor", "middle")
// .attr("font-size", "20px")
// .attr("font-weight", "bold");
// Create the chart group // Create the chart group
const g = svg.append("g") const g = svg.append("g")
.attr("transform", `translate(${margin.left},${margin.top})`); .attr("transform", `translate(${margin.left},${margin.top})`);
@@ -157,6 +144,20 @@ chart = {
.call(d3.axisLeft(y).ticks(5)) .call(d3.axisLeft(y).ticks(5))
.style("font-size", "20px"); .style("font-size", "20px");
// Add axis labels
// g.append("text")
// .attr("x", innerWidth / 2)
// .attr("y", innerHeight + 35)
// .attr("text-anchor", "middle")
// .text("x");
// g.append("text")
// .attr("transform", "rotate(-90)")
// .attr("x", -innerHeight / 2)
// .attr("y", -30)
// .attr("text-anchor", "middle")
// .text("y");
// Add a horizontal line at y = 0 // Add a horizontal line at y = 0
g.append("line") g.append("line")
.attr("x1", 0) .attr("x1", 0)

View File

@@ -1,90 +0,0 @@
text_size <- 16
linesize <- 1
width <- 12
height <- 6
# col_lightgray <- "#e7e7e7"
# col_blue <- "#F24159"
# col_b_smooth <- "#F7CE14"
# col_p_smooth <- "#58A64A"
# col_pointwise <- "#772395"
# col_b_constant <- "#BF236D"
# col_p_constant <- "#F6912E"
# col_optimum <- "#666666"
# https://www.schemecolor.com/retro-rainbow-pastels.php
col_lightgray <- "#e7e7e7"
col_blue <- "#F24159"
col_b_smooth <- "#5391AE"
col_p_smooth <- "#85B464"
col_pointwise <- "#E2D269"
col_b_constant <- "#7A4E8A"
col_p_constant <- "#BC677B"
col_optimum <- "#666666"
col_auto <- "#EA915E"
T_selection <- c(32, 128, 512)
# Lambda grid
lamgrid <- c(-Inf, 2^(-15:25))
# Gamma grid
gammagrid <- sort(1 - sqrt(seq(0, 0.99, .05)))
material_pals <- c(
"red", "pink", "purple", "deep-purple", "indigo",
"blue", "light-blue", "cyan", "teal", "green", "light-green", "lime",
"yellow", "amber", "orange", "deep-orange", "brown", "grey", "blue-grey"
)
cols <- purrr::map(material_pals, ~ ggsci::pal_material(.x)(10)) %>%
purrr::reduce(cbind)
colnames(cols) <- material_pals
cols %>%
as_tibble() %>%
mutate(idx = as.factor(1:10)) %>%
pivot_longer(-idx, names_to = "var", values_to = "val") %>%
mutate(var = factor(var, levels = material_pals[19:1])) %>%
ggplot() +
xlab(NULL) +
ylab(NULL) +
geom_tile(aes(x = idx, y = var, fill = val)) +
scale_fill_identity() +
scale_x_discrete(expand = c(0, 0)) +
scale_y_discrete(expand = c(0, 0)) +
theme_minimal() -> plot_cols
col_gas <- "blue"
col_eua <- "green"
col_oil <- "amber"
col_coal <- "brown"
col_scale2 <- function(x, rng_t) {
ret <- x
for (i in seq_along(x)) {
if (x[i] < rng_t[1]) {
ret[i] <- col_scale(rng_t[1])
} else if (x[i] > rng_t[2]) {
ret[i] <- col_scale(rng_t[2])
} else {
ret[i] <- col_scale(x[i])
}
}
return(ret)
}
rng_t <- c(-5, 5)
h_sub <- c(1, 5, 30)
col_scale <- scales::gradient_n_pal(
c(
cols[5, "green"],
cols[5, "light-green"],
cols[5, "yellow"],
# cols[5, "amber"],
cols[5, "orange"],
# cols[5, "deep-orange"],
cols[5, "red"]
),
values = seq(rng_t[1], rng_t[2], length.out = 5)
)

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@article{berrisch2023modeling,
title = {Modeling volatility and dependence of European carbon and energy prices},
author = {Jonathan Berrisch and Sven Pappert and Florian Ziel and Antonia Arsova},
year = {2023},
month = {3},
journal = {Finance Research Letters},
publisher = {Elsevier BV},
volume = {52},
pages = {103503},
doi = {10.1016/j.frl.2022.103503},
issn = {1544-6123},
url = {https://arxiv.org/pdf/2208.14311},
abstract = {We study the prices of European Emission Allowances (EUA), whereby we analyze their uncertainty and dependencies on related energy prices (natural gas, coal, and oil). We propose a probabilistic multivariate conditional time series model with a VECM-Copula-GARCH structure which exploits key characteristics of the data. Data are normalized with respect to inflation and carbon emissions to allow for proper cross-series evaluation. The forecasting performance is evaluated in an extensive rolling-window forecasting study, covering eight years out-of-sample. We discuss our findings for both levels- and log-transformed data, focusing on time-varying correlations, and in view of the Russian invasion of Ukraine.},
keywords = {Carbon prices, Conditional volatility, Copula, Emission allowances, Energy markets, Forecasting, Multivariate modeling, Time series}
}
@article{marcjasz2022distributional,
title = {Distributional neural networks for electricity price forecasting},
author = {Marcjasz, Grzegorz and Narajewski, Micha{\l} and Weron, Rafa{\l} and Ziel, Florian},
journal = {Energy Economics},
volume = {125},
pages = {106843},
year = {2023},
doi = {10.1016/j.eneco.2023.106843},
publisher = {Elsevier}
}
@book{cesa2006prediction,
title = {{Prediction, learning, and games}},
author = {Cesa-Bianchi, Nicol{\`o} and Lugosi, G{\'a}bor},
year = {2006},
month = {3},
publisher = {Cambridge university press},
pages = {I--XII, 1--394},
doi = {10.1017/CBO9780511546921},
isbn = {978-0521841085}
}
@inproceedings{gaillard2018efficient,
title = {{Efficient online algorithms for fast-rate regret bounds under sparsity}},
author = {Gaillard, Pierre and Wintenberger, Olivier},
year = {2018},
month = {5},
journal = {arXiv (Cornell University)},
booktitle = {Proceedings of the 32nd International Conference on Neural Information Processing Systems},
publisher = {Cornell University},
pages = {7026--7036},
doi = {10.48550/arxiv.1805.09174},
url = {https://arxiv.org/abs/1805.09174},
editor = {Bengio, Samy and Wallach, Hanna M. and Larochelle, Hugo and Grauman, Kristen and Cesa-Bianchi, Nicolò and Garnett, Roman}
}
@article{gneiting2007strictly,
title = {{Strictly proper scoring rules, prediction, and estimation}},
author = {Gneiting, Tilmann and Raftery, Adrian E},
year = {2007},
month = {3},
journal = {Journal of the American statistical Association},
publisher = {Taylor \& Francis},
volume = {102},
number = {477},
pages = {359--378},
doi = {10.1198/016214506000001437},
issn = {0162-1459}
}
@article{gneiting2011making,
title = {{Making and evaluating point forecasts}},
author = {Gneiting, Tilmann},
year = {2011},
month = {6},
journal = {Journal of the American Statistical Association},
publisher = {Taylor \& Francis},
volume = {106},
number = {494},
pages = {746--762},
doi = {10.1198/jasa.2011.r10138},
issn = {0162-1459},
url = {https://arxiv.org/pdf/0912.0902.pdf}
}
@article{wintenberger2017optimal,
title = {Optimal learning with Bernstein online aggregation},
author = {Wintenberger, Olivier},
year = {2017},
journal = {Machine Learning},
publisher = {Springer},
volume = {106},
number = {1},
pages = {119--141},
doi = {10.1007/s10994-016-5592-6}
}
@article{BERRISCH2023105221,
title = {CRPS learning},
author = {Jonathan Berrisch and Florian Ziel},
year = {2023},
month = {12},
journal = {Journal of Econometrics},
publisher = {Elsevier BV},
volume = {237},
number = {2, Part C},
pages = {105221},
doi = {10.1016/j.jeconom.2021.11.008},
issn = {0304-4076},
url = {https://arxiv.org/pdf/2102.00968},
abstract = {Combination and aggregation techniques can significantly improve forecast accuracy. This also holds for probabilistic forecasting methods where predictive distributions are combined. There are several time-varying and adaptive weighting schemes such as Bayesian model averaging (BMA). However, the quality of different forecasts may vary not only over time but also within the distribution. For example, some distribution forecasts may be more accurate in the center of the distributions, while others are better at predicting the tails. Therefore, we introduce a new weighting method that considers the differences in performance over time and within the distribution. We discuss pointwise combination algorithms based on aggregation across quantiles that optimize with respect to the continuous ranked probability score (CRPS). After analyzing the theoretical properties of pointwise CRPS learning, we discuss B- and P-Spline-based estimation techniques for batch and online learning, based on quantile regression and prediction with expert advice. We prove that the proposed fully adaptive Bernstein online aggregation (BOA) method for pointwise CRPS online learning has optimal convergence properties. They are confirmed in simulations and a probabilistic forecasting study for European emission allowance (EUA) prices.},
keywords = {Combination, Aggregation, Online, Probabilistic, Forecasting, Quantile, Time series, Distribution, Density, Prediction, Splines}
}
@article{BERRISCH20241568,
title = {Multivariate probabilistic CRPS learning with an application to day-ahead electricity prices},
author = {Jonathan Berrisch and Florian Ziel},
year = {2024},
month = {10},
journal = {International Journal of Forecasting},
publisher = {Elsevier BV},
volume = {40},
number = {4},
pages = {1568--1586},
doi = {10.1016/j.ijforecast.2024.01.005},
issn = {0169-2070},
abstract = {This paper presents a new method for combining (or aggregating or ensembling) multivariate probabilistic forecasts, considering dependencies between quantiles and marginals through a smoothing procedure that allows for online learning. We discuss two smoothing methods: dimensionality reduction using Basis matrices and penalized smoothing. The new online learning algorithm generalizes the standard CRPS learning framework into multivariate dimensions. It is based on Bernstein Online Aggregation (BOA) and yields optimal asymptotic learning properties. The procedure uses horizontal aggregation, i.e., aggregation across quantiles. We provide an in-depth discussion on possible extensions of the algorithm and several nested cases related to the existing literature on online forecast combination. We apply the proposed methodology to forecasting day-ahead electricity prices, which are 24-dimensional distributional forecasts. The proposed method yields significant improvements over uniform combination in terms of continuous ranked probability score (CRPS). We discuss the temporal evolution of the weights and hyperparameters and present the results of reduced versions of the preferred model. A fast Cimplementation of the proposed algorithm is provided in the open-source R-Package profoc on CRAN.},
keywords = {Combination, Aggregation, Ensembling, Online, Multivariate, Probabilistic, Forecasting, Quantile, Time series, Distribution, Density, Prediction, Splines}
}
@article{berrisch2025rcpptimer,
title = {rcpptimer: Rcpp Tic-Toc Timer with OpenMP Support},
author = {Berrisch, Jonathan},
year = {2025},
month = {1},
journal = {arXiv preprint arXiv:2501.15856},
publisher = {Cornell University},
volume = {abs/2501.15856},
doi = {10.48550/arXiv.2501.15856},
issn = {2331-8422},
url = {https://arxiv.org/pdf/2501.15856}
}
@article{hirsch2024online,
title = {Online Distributional Regression},
author = {Hirsch, Simon and Berrisch, Jonathan and Ziel, Florian},
year = {2024},
month = {6},
journal = {arXiv preprint arXiv:2407.08750},
publisher = {Cornell University},
volume = {abs/2407.08750},
doi = {10.48550/arXiv.2407.08750},
issn = {2331-8422},
url = {https://arxiv.org/pdf/2407.08750}
}
@article{berrisch2022distributional,
title = {Distributional modeling and forecasting of natural gas prices},
author = {Berrisch, Jonathan and Ziel, Florian},
year = {2022},
month = {1},
journal = {Journal of Forecasting},
publisher = {Wiley},
volume = {41},
number = {6},
pages = {1065--1086},
doi = {10.1002/for.2853},
issn = {0277-6693},
url = {https://arxiv.org/pdf/2010.06227},
abstract = {Abstract We examine the problem of modeling and forecasting European day-ahead and month-ahead natural gas prices. For this, we propose two distinct probabilistic models that can be utilized in risk and portfolio management. We use daily pricing data ranging from 2011 to 2020. Extensive descriptive data analysis shows that both time series feature heavy tails and conditional heteroscedasticity and show asymmetric behavior in their differences. We propose state-space time series models under skewed, heavy-tailed distributions to capture all stylized facts of the data. They include the impact of autocorrelation, seasonality, risk premia, temperature, storage levels, the price of European Emission Allowances, and related fuel prices of oil, coal, and electricity. We provide rigorous model diagnostics and interpret all model components in detail. Additionally, we conduct a probabilistic forecasting study with significance tests and compare the predictive performance against literature benchmarks. The proposed day-ahead (month-ahead) model leads to a 13\% (9\%) reduction in out-of-sample continuous ranked probability score (CRPS) compared with the best performing benchmark model, mainly due to adequate modeling of the volatility and heavy tails.},
keywords = {gas prices, heavy-tailed distribution, probabilistic forecasting, risk premium, state-space models}
}
@article{BERRISCH2023100236,
title = {High-resolution peak demand estimation using generalized additive models and deep neural networks},
author = {Jonathan Berrisch and Micha{\l} Narajewski and Florian Ziel},
year = {2023},
month = {7},
journal = {Energy and AI},
publisher = {Elsevier BV},
volume = {13},
pages = {100236},
doi = {10.1016/j.egyai.2023.100236},
issn = {2666-5468},
keywords = {Electricity peak load, Generalized additive models, Artificial neural networks, Prediction, Combination, Weather effects, Seasonality}
}
@book{johnson1995continuous,
title = {Continuous univariate distributions, volume 2},
author = {Johnson, Norman L and Kotz, Samuel and Balakrishnan, Narayanaswamy},
year = {1995},
publisher = {John wiley \& sons},
volume = {289}
}
@article{li2022general,
title = {General P-splines for non-uniform B-splines},
author = {Li, Zheyuan and Cao, Jiguo},
year = {2022},
journal = {arXiv preprint},
publisher = {Cornell University},
doi = {10.48550/arXiv.2201.06808},
url = {https://arxiv.org/abs/2201.06808}
}

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1704
bootstrap-icons.css vendored

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<script src="custom.js"></script>

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window.MathJax = {
tex: {
tags: 'ams'
},
displayAlign: "left",
displayIndent: "0em",
};

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@@ -1,245 +0,0 @@
:root {
--col_lightgray: #e7e7e7;
--col_blue: #000088;
--col_smooth_expost: #a7008b;
--col_constant: #dd9002;
--col_optimum: #666666;
--col_smooth: #187a00;
--col_pointwise: #008790;
--col_green: #61B94C;
--col_orange: #ffa600;
--col_yellow: #FCE135;
--col_amber_1: #FFF8E0FF;
--col_amber_2: #FFEBB2FF;
--col_amber_3: #FFDF81FF;
--col_amber_4: #FFD44EFF;
--col_amber_5: #FFCA27FF;
--col_amber_6: #FFC006FF;
--col_amber_7: #FFB200FF;
--col_amber_8: #FF9F00FF;
--col_amber_9: #FF8E00FF;
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--col_blue_1: #E3F2FDFF;
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--col_blue_3: #90CAF8FF;
--col_blue_4: #64B4F6FF;
--col_blue_5: #41A5F4FF;
--col_blue_6: #2096F2FF;
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--col_blue_8: #1976D2FF;
--col_blue_9: #1465BFFF;
--col_blue_10: #0C46A0FF;
--col_blue-grey_1: #EBEEF1FF;
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--col_blue-grey_4: #90A4ADFF;
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--col_blue-grey_6: #5F7D8BFF;
--col_blue-grey_7: #536D79FF;
--col_blue-grey_8: #455964FF;
--col_blue-grey_9: #37464EFF;
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--col_brown_1: #EEEBE9FF;
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--col_brown_8: #5D3F37FF;
--col_brown_9: #4D332DFF;
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--col_cyan_10: #005F64FF;
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--col_indigo_5: #5B6BBFFF;
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--col_indigo_10: #19227EFF;
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--col_light-blue_3: #80D3F9FF;
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--col_light-green_8: #679F38FF;
--col_light-green_9: #548B2EFF;
--col_light-green_10: #33681EFF;
--col_lime_1: #F8FAE6FF;
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--col_lime_7: #BFCA33FF;
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--col_lime_9: #9E9D24FF;
--col_lime_10: #817717FF;
--col_orange_1: #FFF2DFFF;
--col_orange_2: #FFDFB2FF;
--col_orange_3: #FFCC7FFF;
--col_orange_4: #FFB74CFF;
--col_orange_5: #FFA626FF;
--col_orange_6: #FF9800FF;
--col_orange_7: #FA8C00FF;
--col_orange_8: #F47B00FF;
--col_orange_9: #EE6C00FF;
--col_orange_10: #E55100FF;
--col_pink_1: #FCE4EBFF;
--col_pink_2: #F8BAD0FF;
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--col_pink_4: #F06192FF;
--col_pink_5: #EB3F79FF;
--col_pink_6: #E91E63FF;
--col_pink_7: #D81A5FFF;
--col_pink_8: #C1185AFF;
--col_pink_9: #AC1357FF;
--col_pink_10: #870D4EFF;
--col_purple_1: #F2E5F4FF;
--col_purple_2: #E0BEE6FF;
--col_purple_3: #CD92D8FF;
--col_purple_4: #B967C7FF;
--col_purple_5: #AB46BBFF;
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--col_red_7: #E53934FF;
--col_red_8: #D22E2EFF;
--col_red_9: #C52727FF;
--col_red_10: #B71B1BFF;
--col_teal_1: #DFF2F1FF;
--col_teal_2: #B2DFDAFF;
--col_teal_3: #7FCBC4FF;
--col_teal_4: #4CB6ACFF;
--col_teal_5: #26A599FF;
--col_teal_6: #009687FF;
--col_teal_7: #00887AFF;
--col_teal_8: #00796BFF;
--col_teal_9: #00685BFF;
--col_teal_10: #004C3FFF;
--col_yellow_1: #FFFDE6FF;
--col_yellow_2: #FFF8C4FF;
--col_yellow_3: #FFF49DFF;
--col_yellow_4: #FFF176FF;
--col_yellow_5: #FFED58FF;
--col_yellow_6: #FFEB3AFF;
--col_yellow_7: #FDD834FF;
--col_yellow_8: #FABF2CFF;
--col_yellow_9: #F8A725FF;
--col_yellow_10: #F47F17FF;
}
/*-- scss:defaults --*/
// $body-bg: #ffffff;
// $body-color: #7a6f69;
// $link-color: #005088;
// $selection-color: #00b0dc;
// $presentation-heading-color: $selection-color;
// $tabset-border-color: #bbb3b0;
/*-- scss:rules --*/
.slide-number,
.reveal.has-logo .slide-number {
bottom: 14px !important;
left: 50px !important;
top: unset !important;
color: #777777 !important;
}
.sup-zero-width {
display: inline-block;
vertical-align: super;
font-size: smaller;
width: 0px;
}
.zero-width {
display: inline-block;
width: 0px;
}
.fa {
width: 1.25em;
text-align: center;
}
/* Grey out links inside a row with class "greyed-out" */
tr.greyed-out,
tr.greyed-out a {
color: var(--col_grey_3) !important;
text-decoration: none !important;
}

View File

@@ -79,9 +79,7 @@
rPackages.gganimate rPackages.gganimate
rPackages.cowplot rPackages.cowplot
rPackages.xtable rPackages.xtable
rPackages.ggsci
rPackages.profoc rPackages.profoc
rPackages.ggforce
]; ];

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3672
index.qmd

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@@ -1,53 +0,0 @@
#!/bin/sh
# Path to your .bib file
BIBFILE="assets/library.bib"
# Step 1: Extract all citation keys from the .bib file
# This assumes keys follow immediately after @...{KEY,
bibkeys=$(grep -oP '^@\w+\{\K[^,]+' "$BIBFILE")
# Step 2: Initialize array for unused keys
unused=()
for key in $bibkeys; do
if ! grep -qr "$key" . --include="*.qmd"; then
unused+=("$key")
fi
done
if [ ${#unused[@]} -eq 0 ]; then
echo "All citation keys are used."
else
echo "Unused citation keys:"
for key in "${unused[@]}"; do
echo " $key"
done
fi
# Step 5: Optional removal
if [ ${#unused[@]} -gt 0 ]; then
echo "Removing unused entries from $BIBFILE..."
awk -v keys="${unused[*]}" '
BEGIN {
split(keys, klist);
for (i in klist) unused[klist[i]] = 1;
skip = 0;
}
/^[[:space:]]*@/ {
match($0, /^@\w+\{([^,]+),/, m);
if (m[1] && unused[m[1]]) {
skip = 1;
next;
}
}
skip && /^\s*}/ {
skip = 0;
next;
}
!skip
' "$BIBFILE" > "$BIBFILE.tmp" && mv "$BIBFILE.tmp" "$BIBFILE"
echo "Done."
fi

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@@ -1,185 +0,0 @@
// See https://quarto.org/docs/presentations/revealjs/themes.html#saas-variables
$brand-red: #004c93;
$brand-blue: #efe4bf;
$brand-yellow: #ec7206;
$brand-charcoal: #424242;
$brand-gray: #F1F1F1;
$brand-grey: #F1F1F1;
/*-- scss:defaults --*/
// icons
// @import url("https://cdn.jsdelivr.net/npm/bootstrap-icons@1.8.1/font/bootstrap-icons.css");
@import "./bootstrap-icons.css";
// fonts
// Comment from BerriJ:
// I had problems with rendering when 'embed-resources: true' (important for
// offline use), so I had to use local copies of the fonts.
// @import url(https://fonts.googleapis.com/css?family=Source+Code+Pro);
// @import url('https://fonts.googleapis.com/css2?family=Patrick+Hand&display=swap');
// @import url('https://fonts.googleapis.com/css2?family=Roboto');
// @import url(https://fonts.googleapis.com/css?family=Roboto+Condensed);
@import "./Roboto.css";
@import "./Roboto+Condensed.css";
@import "./Source+Code+Pro.css";
@import "./Patrick+Hand.css";
;
$roboto: 'Roboto', Arial, sans-serif;
$roboto-cond: 'Roboto Condensed', Arial, sans-serif;
$code-font: 'Source Code Pro', 'Lucida Console', Monaco, monospace;
$blockquote-font: 'Patrick Hand', cursive;
// colors
$body-bg: #fff;
$body-color: #222;
$link-color: #2a76dd;
$selection-bg: lighten($link-color, 25%);
// website
$font-family-sans-serif: $roboto !default;
$font-family-monospace: $code-font !default;
$body-color: $brand-charcoal;
$navbar-bg: #333333;
//$navbar-color: #0F2E3D;
$link-color: $brand-red;
// headings
$presentation-heading-font: $roboto-cond !default;
$presentation-heading-color: #383d3d !default;
// title slide
$presentation-title-slide-text-align: left;
// body
$presentation-font-size-root: 28px; // default is 40px
$presentation-font-smaller: 0.9 !default;
$presentation-line-height: 1.3; // default is 1.3
// code blocks
$code-block-bg: $brand-grey;
// $code-block-border-color: lighten($body-color, 60%);
$code-block-font-size: 0.75em;
// $code-color: $brand-charcoal; // var(quarto-hl-fu-color);
// $code-bg: transparent;
/*-- scss:rules --*/
// .reveal .slide-background:first-child {
// background-image: url("https://raw.githubusercontent.com/DATA2002/data/master/usydlogo-white.svg");
// background-repeat: no-repeat;
// background-position: 95% 95%;
// background-size: 15%;
// background-color: $brand-red;
// }
.reveal .slide aside,
.reveal .slide div.aside {
position: absolute;
bottom: 20px;
font-size: 0.6em;
color: #8f8f8f;
}
.red {
color: $brand-red;
}
.blue {
color: $brand-blue;
}
.slide smaller {
font-size: $presentation-font-smaller;
}
.blockquote,
.reveal .slide blockquote {
/* border-left: 3px solid $text-muted; */
/* padding-left: 0.5em; */
display: block;
position: relative;
font-family: $blockquote-font;
font-size: 1.2em;
/* font-style: italic; */
color: $brand-charcoal;
margin-top: 0.1em;
margin-bottom: 0.2em;
border-left: solid 0.3rem $brand-blue;
/* matches with .callouts */
border-top: solid 1px silver;
border-bottom: solid 1px silver;
border-right: solid 1px silver;
/* box-shadow: 0 0 6px rgba(0,0,0,0.5); */
/* background-color: #e64626; */
/* padding: 0.5em; */
-moz-border-radius: 5px;
-webkit-border-radius: 5px;
width: unset;
margin: var(--r-block-margin) auto;
padding: 0.625rem 1.75rem;
}
.reveal .slides section .callout {
font-size: inherit;
}
.reveal .callout.callout-style-simple .callout-body,
.reveal .callout.callout-style-default .callout-body,
.reveal .callout.callout-style-simple div.callout-caption,
.reveal .callout.callout-style-default div.callout-caption {
font-size: inherit;
}
.reveal .callout.callout-style-default .callout-icon::before,
.reveal .callout.callout-style-simple .callout-icon::before {
height: 2rem;
width: 2rem;
background-size: 2rem 2rem;
}
.reveal .title-slide {
background-color: $brand-blue;
}
// customisations for printing to pdf
.print-pdf .reveal .title-slide {
background-color: #FFFFFF;
}
.print-pdf {
section.has-dark-background,
section.has-dark-background h1,
section.has-dark-background h2,
section.has-dark-background h3,
section.has-dark-background h4,
section.has-dark-background h5,
section.has-dark-background h6 {
color: #000000 !important;
}
}
.print-pdf .reveal .slide-background {
background-color: #FFFFFF !important;
}
.print-pdf .reveal .has-dark-background {
color: #222 !important;
}

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@@ -8,7 +8,7 @@ library(readr)
# Creating faceted plots for different knot values and mu values # Creating faceted plots for different knot values and mu values
# Create a function to generate the data for a given number of knots and mu value # Create a function to generate the data for a given number of knots and mu value
generate_basis_data <- function(num_knots, mu_value, sig_value, nonc_value, tailw_value, deg_value) { generate_basis_data <- function(num_knots, mu_value, sig_value, nonc_value, tailw_value, deg_value) {
grid <- seq(from = 0, to = 1, length.out = 26) grid <- seq(from = 0.01, to = 0.99, length.out = 50)
# Use provided degree # Use provided degree
B <- profoc:::make_basis_matrix(grid, B <- profoc:::make_basis_matrix(grid,
profoc::make_knots( profoc::make_knots(
@@ -21,9 +21,9 @@ generate_basis_data <- function(num_knots, mu_value, sig_value, nonc_value, tail
), ),
deg = deg_value deg = deg_value
) )
B_mat <- round(as.matrix(B), 5) B_mat <- round(as.matrix(B),2)
df <- as.data.frame(B_mat) df <- as.data.frame(B_mat)
df$x <- grid df$x <- round(grid,2)
df_long <- pivot_longer(df, df_long <- pivot_longer(df,
cols = -x, cols = -x,
names_to = "b", names_to = "b",
@@ -39,9 +39,10 @@ generate_basis_data <- function(num_knots, mu_value, sig_value, nonc_value, tail
} }
# Generate data for each combination of knot, mu, sig, nonc, tailw, and deg # Generate data for each combination of knot, mu, sig, nonc, tailw, and deg
knot_values <- c(10)
mu_values <- seq(0.1, 0.9, by = 0.2) mu_values <- seq(0.1, 0.9, by = 0.2)
sig_values <- 2^(-2:2) sig_values <- 2^(-2:2)
nonc_values <- c(-4, -2, 0, 2, 4) nonc_values <- c(-4,-2,0,2,4)
tailw_values <- 2^(-2:2) tailw_values <- 2^(-2:2)
# Create an empty list to store all combinations # Create an empty list to store all combinations
@@ -49,7 +50,9 @@ all_data <- list()
counter <- 1 counter <- 1
# Nested loops to cover all parameter combinations # Nested loops to cover all parameter combinations
for (m in mu_values) { for (k in knot_values) {
print(paste("Processing knots:", k))
for (m in mu_values) {
print(paste("Processing mu:", m)) print(paste("Processing mu:", m))
for (s in sig_values) { for (s in sig_values) {
for (nc in nonc_values) { for (nc in nonc_values) {
@@ -59,24 +62,10 @@ for (m in mu_values) {
} }
} }
} }
}
} }
# Combine all data frames # Combine all data frames
all_data <- bind_rows(all_data) all_data <- bind_rows(all_data)
write_csv(all_data, "25_07_phd_defense/assets/mcrps_learning/basis_functions.csv") write_csv(all_data, "basis_functions.csv")
# %%
all_data %>%
filter(mu == 0.1) %>%
filter(sig == 0.25) %>%
filter(nonc == -4) %>%
filter(tailw == 0.25) %>%
ggplot(aes(x = x, y = y, col = b)) +
geom_line(size = 2) +
labs(
title = "Basis Functions for Different Knot Values",
x = "x",
y = "y"
) +
theme_minimal()