This is pdfTeX, Version 3.141592653-2.6-1.40.29 (TeX Live 2026) (preloaded format=pdflatex 2026.3.1)  15 SEP 2026 22:22
entering extended mode
 restricted \write18 enabled.
 %&-line parsing enabled.
**GAN_Detailed_Overview.tex
(./GAN_Detailed_Overview.tex
LaTeX2e <2025-11-01>
L3 programming layer <2026-01-19>
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/base/article.cls
Document Class: article 2025/01/22 v1.4n Standard LaTeX document class
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/base/size12.clo
File: size12.clo 2025/01/22 v1.4n Standard LaTeX file (size option)
)
\c@part=\count275
\c@section=\count276
\c@subsection=\count277
\c@subsubsection=\count278
\c@paragraph=\count279
\c@subparagraph=\count280
\c@figure=\count281
\c@table=\count282
\abovecaptionskip=\skip49
\belowcaptionskip=\skip50
\bibindent=\dimen148
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsfonts/amssymb.sty
Package: amssymb 2013/01/14 v3.01 AMS font symbols

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsfonts/amsfonts.sty
Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support
\@emptytoks=\toks17
\symAMSa=\mathgroup4
\symAMSb=\mathgroup5
LaTeX Font Info:    Redeclaring math symbol \hbar on input line 98.
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 106.
))
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsmath/amsmath.sty
Package: amsmath 2025/07/09 v2.17z AMS math features
\@mathmargin=\skip51

For additional information on amsmath, use the `?' option.
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsmath/amstext.sty
Package: amstext 2024/11/17 v2.01 AMS text

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsmath/amsgen.sty
File: amsgen.sty 1999/11/30 v2.0 generic functions
\@emptytoks=\toks18
\ex@=\dimen149
))
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsmath/amsbsy.sty
Package: amsbsy 1999/11/29 v1.2d Bold Symbols
\pmbraise@=\dimen150
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsmath/amsopn.sty
Package: amsopn 2022/04/08 v2.04 operator names
)
\inf@bad=\count283
LaTeX Info: Redefining \frac on input line 233.
\uproot@=\count284
\leftroot@=\count285
LaTeX Info: Redefining \overline on input line 398.
LaTeX Info: Redefining \colon on input line 409.
\classnum@=\count286
\DOTSCASE@=\count287
LaTeX Info: Redefining \ldots on input line 495.
LaTeX Info: Redefining \dots on input line 498.
LaTeX Info: Redefining \cdots on input line 619.
\Mathstrutbox@=\box53
\strutbox@=\box54
LaTeX Info: Redefining \big on input line 721.
LaTeX Info: Redefining \Big on input line 722.
LaTeX Info: Redefining \bigg on input line 723.
LaTeX Info: Redefining \Bigg on input line 724.
\big@size=\dimen151
LaTeX Font Info:    Redeclaring font encoding OML on input line 742.
LaTeX Font Info:    Redeclaring font encoding OMS on input line 743.
\macc@depth=\count288
LaTeX Info: Redefining \bmod on input line 904.
LaTeX Info: Redefining \pmod on input line 909.
LaTeX Info: Redefining \smash on input line 939.
LaTeX Info: Redefining \relbar on input line 969.
LaTeX Info: Redefining \Relbar on input line 970.
\c@MaxMatrixCols=\count289
\dotsspace@=\muskip17
\c@parentequation=\count290
\dspbrk@lvl=\count291
\tag@help=\toks19
\row@=\count292
\column@=\count293
\maxfields@=\count294
\andhelp@=\toks20
\eqnshift@=\dimen152
\alignsep@=\dimen153
\tagshift@=\dimen154
\tagwidth@=\dimen155
\totwidth@=\dimen156
\lineht@=\dimen157
\@envbody=\toks21
\multlinegap=\skip52
\multlinetaggap=\skip53
\mathdisplay@stack=\toks22
LaTeX Info: Redefining \[ on input line 2950.
LaTeX Info: Redefining \] on input line 2951.
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amscls/amsthm.sty
Package: amsthm 2020/05/29 v2.20.6
\thm@style=\toks23
\thm@bodyfont=\toks24
\thm@headfont=\toks25
\thm@notefont=\toks26
\thm@headpunct=\toks27
\thm@preskip=\skip54
\thm@postskip=\skip55
\thm@headsep=\skip56
\dth@everypar=\toks28
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/geometry/geometry.sty
Package: geometry 2020/01/02 v5.9 Page Geometry

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/graphics/keyval.sty
Package: keyval 2022/05/29 v1.15 key=value parser (DPC)
\KV@toks@=\toks29
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/iftex/ifvtex.sty
Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead.

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/iftex/iftex.sty
Package: iftex 2024/12/12 v1.0g TeX engine tests
))
\Gm@cnth=\count295
\Gm@cntv=\count296
\c@Gm@tempcnt=\count297
\Gm@bindingoffset=\dimen158
\Gm@wd@mp=\dimen159
\Gm@odd@mp=\dimen160
\Gm@even@mp=\dimen161
\Gm@layoutwidth=\dimen162
\Gm@layoutheight=\dimen163
\Gm@layouthoffset=\dimen164
\Gm@layoutvoffset=\dimen165
\Gm@dimlist=\toks30
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/graphics/graphicx.sty
Package: graphicx 2024/12/31 v1.2e Enhanced LaTeX Graphics (DPC,SPQR)

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/graphics/graphics.sty
Package: graphics 2024/08/06 v1.4g Standard LaTeX Graphics (DPC,SPQR)

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/graphics/trig.sty
Package: trig 2023/12/02 v1.11 sin cos tan (DPC)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/graphics-cfg/graphics.cfg
File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration
)
Package graphics Info: Driver file: pdftex.def on input line 106.

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/graphics-def/pdftex.def
File: pdftex.def 2025/09/29 v1.2d Graphics/color driver for pdftex
))
\Gin@req@height=\dimen166
\Gin@req@width=\dimen167
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/hyperref/hyperref.sty
Package: hyperref 2026-01-29 v7.01p Hypertext links for LaTeX

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/kvsetkeys/kvsetkeys.sty
Package: kvsetkeys 2022-10-05 v1.19 Key value parser (HO)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.
sty
Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pdfescape/pdfescape.sty
Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO)

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty
Package: ltxcmds 2023-12-04 v1.26 LaTeX kernel commands for general use (HO)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty
Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO
)

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/infwarerr/infwarerr.sty
Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO)
)
Package pdftexcmds Info: \pdf@primitive is available.
Package pdftexcmds Info: \pdf@ifprimitive is available.
Package pdftexcmds Info: \pdfdraftmode found.
)) (/usr/local/texlive/2026basic/texmf-dist/tex/latex/hycolor/hycolor.sty
Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/hyperref/nameref.sty
Package: nameref 2026-01-29 v2.58 Cross-referencing by name of section

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/refcount/refcount.sty
Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/gettitlestring/gettitlestr
ing.sty
Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO)

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/kvoptions/kvoptions.sty
Package: kvoptions 2022-06-15 v3.15 Key value format for package options (HO)
))
\c@section@level=\count298
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/etoolbox/etoolbox.sty
Package: etoolbox 2025/10/02 v2.5m e-TeX tools for LaTeX (JAW)
\etb@tempcnta=\count299
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/stringenc/stringenc.sty
Package: stringenc 2019/11/29 v1.12 Convert strings between diff. encodings (HO
)
)
\@linkdim=\dimen168
\Hy@linkcounter=\count300
\Hy@pagecounter=\count301

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/hyperref/pd1enc.def
File: pd1enc.def 2026-01-29 v7.01p Hyperref: PDFDocEncoding definition (HO)
Now handling font encoding PD1 ...
... no UTF-8 mapping file for font encoding PD1
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/intcalc/intcalc.sty
Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO)
)
\Hy@SavedSpaceFactor=\count302

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/hyperref/puenc.def
File: puenc.def 2026-01-29 v7.01p Hyperref: PDF Unicode definition (HO)
Now handling font encoding PU ...
... no UTF-8 mapping file for font encoding PU
)
Package hyperref Info: Hyper figures OFF on input line 4201.
Package hyperref Info: Link nesting OFF on input line 4206.
Package hyperref Info: Hyper index ON on input line 4209.
Package hyperref Info: Plain pages OFF on input line 4216.
Package hyperref Info: Backreferencing OFF on input line 4221.
Package hyperref Info: Implicit mode ON; LaTeX internals redefined.
Package hyperref Info: Bookmarks ON on input line 4468.
\c@Hy@tempcnt=\count303

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/url/url.sty
\Urlmuskip=\muskip18
Package: url 2013/09/16  ver 3.4  Verb mode for urls, etc.
)
LaTeX Info: Redefining \url on input line 4807.
\XeTeXLinkMargin=\dimen169

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/bitset/bitset.sty
Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO)

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty
Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO
)
))
\Fld@menulength=\count304
\Field@Width=\dimen170
\Fld@charsize=\dimen171
Package hyperref Info: Hyper figures OFF on input line 6084.
Package hyperref Info: Link nesting OFF on input line 6089.
Package hyperref Info: Hyper index ON on input line 6092.
Package hyperref Info: backreferencing OFF on input line 6099.
Package hyperref Info: Link coloring OFF on input line 6104.
Package hyperref Info: Link coloring with OCG OFF on input line 6109.
Package hyperref Info: PDF/A mode OFF on input line 6114.
\Hy@abspage=\count305
\c@Item=\count306
\c@Hfootnote=\count307
)
Package hyperref Info: Driver (autodetected): hpdftex.
 (/usr/local/texlive/2026basic/texmf-dist/tex/latex/hyperref/hpdftex.def
File: hpdftex.def 2026-01-29 v7.01p Hyperref driver for pdfTeX
\Fld@listcount=\count308
\c@bookmark@seq@number=\count309

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/rerunfilecheck/rerunfilechec
k.sty
Package: rerunfilecheck 2025-06-21 v1.11 Rerun checks for auxiliary files (HO)

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/uniquecounter/uniquecounte
r.sty
Package: uniquecounter 2019/12/15 v1.4 Provide unlimited unique counter (HO)
)
Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 2
84.
)
\Hy@SectionHShift=\skip57
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/booktabs/booktabs.sty
Package: booktabs 2020/01/12 v1.61803398 Publication quality tables
\heavyrulewidth=\dimen172
\lightrulewidth=\dimen173
\cmidrulewidth=\dimen174
\belowrulesep=\dimen175
\belowbottomsep=\dimen176
\aboverulesep=\dimen177
\abovetopsep=\dimen178
\cmidrulesep=\dimen179
\cmidrulekern=\dimen180
\defaultaddspace=\dimen181
\@cmidla=\count310
\@cmidlb=\count311
\@aboverulesep=\dimen182
\@belowrulesep=\dimen183
\@thisruleclass=\count312
\@lastruleclass=\count313
\@thisrulewidth=\dimen184
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/tools/array.sty
Package: array 2025/09/25 v2.6n Tabular extension package (FMi)
\col@sep=\dimen185
\ar@mcellbox=\box55
\extrarowheight=\dimen186
\NC@list=\toks31
\extratabsurround=\skip58
\backup@length=\skip59
\ar@cellbox=\box56
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/xcolor/xcolor.sty
Package: xcolor 2024/09/29 v3.02 LaTeX color extensions (UK)

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/graphics-cfg/color.cfg
File: color.cfg 2016/01/02 v1.6 sample color configuration
)
Package xcolor Info: Driver file: pdftex.def on input line 274.

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/graphics/mathcolor.ltx)
Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1349.
Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1353.
Package xcolor Info: Model `RGB' extended on input line 1365.
Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1367.
Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1368.
Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1369.
Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1370.
Package xcolor Info: Model `Gray' substituted by `gray' on input line 1371.
Package xcolor Info: Model `wave' substituted by `hsb' on input line 1372.
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/utilities/pgfutil-comm
on.tex
\pgfutil@everybye=\toks32
\pgfutil@tempdima=\dimen187
\pgfutil@tempdimb=\dimen188
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/utilities/pgfutil-late
x.def
\pgfutil@abb=\box57
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.
tex (/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/pgf.revision.tex)
Package: pgfrcs 2025-08-29 v3.1.11a (3.1.11a)
))
Package: pgf 2025-08-29 v3.1.11a (3.1.11a)
 (/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty 
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.cod
e.tex
Package: pgfsys 2025-08-29 v3.1.11a (3.1.11a)

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code
.tex
\pgfkeys@pathtoks=\toks33
\pgfkeys@temptoks=\toks34

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/utilities/pgfkeyslibra
ryfiltered.code.tex
\pgfkeys@tmptoks=\toks35
))
\pgf@x=\dimen189
\pgf@y=\dimen190
\pgf@xa=\dimen191
\pgf@ya=\dimen192
\pgf@xb=\dimen193
\pgf@yb=\dimen194
\pgf@xc=\dimen195
\pgf@yc=\dimen196
\pgf@xd=\dimen197
\pgf@yd=\dimen198
\w@pgf@writea=\write3
\r@pgf@reada=\read2
\c@pgf@counta=\count314
\c@pgf@countb=\count315
\c@pgf@countc=\count316
\c@pgf@countd=\count317
\t@pgf@toka=\toks36
\t@pgf@tokb=\toks37
\t@pgf@tokc=\toks38
\pgf@sys@id@count=\count318

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
File: pgf.cfg 2025-08-29 v3.1.11a (3.1.11a)
)
Driver file for pgf: pgfsys-pdftex.def

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdf
tex.def
File: pgfsys-pdftex.def 2025-08-29 v3.1.11a (3.1.11a)

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-com
mon-pdf.def
File: pgfsys-common-pdf.def 2025-08-29 v3.1.11a (3.1.11a)
)))
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoft
path.code.tex
File: pgfsyssoftpath.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgfsyssoftpath@smallbuffer@items=\count319
\pgfsyssoftpath@bigbuffer@items=\count320
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprot
ocol.code.tex
File: pgfsysprotocol.code.tex 2025-08-29 v3.1.11a (3.1.11a)
))
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.cod
e.tex
Package: pgfcore 2025-08-29 v3.1.11a (3.1.11a)

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.
tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathparser.cod
e.tex
\pgfmath@dimen=\dimen199
\pgfmath@count=\count321
\pgfmath@box=\box58
\pgfmath@toks=\toks39
\pgfmath@stack@operand=\toks40
\pgfmath@stack@operation=\toks41
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
basic.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
trigonometric.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
random.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
comparison.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
base.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
round.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
misc.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.
integerarithmetics.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.
tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code
.tex
\c@pgfmathroundto@lastzeros=\count322
))
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfint.code.tex)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoin
ts.code.tex
File: pgfcorepoints.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgf@picminx=\dimen256
\pgf@picmaxx=\dimen257
\pgf@picminy=\dimen258
\pgf@picmaxy=\dimen259
\pgf@pathminx=\dimen260
\pgf@pathmaxx=\dimen261
\pgf@pathminy=\dimen262
\pgf@pathmaxy=\dimen263
\pgf@xx=\dimen264
\pgf@xy=\dimen265
\pgf@yx=\dimen266
\pgf@yy=\dimen267
\pgf@zx=\dimen268
\pgf@zy=\dimen269
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepath
construct.code.tex
File: pgfcorepathconstruct.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgf@path@lastx=\dimen270
\pgf@path@lasty=\dimen271
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepath
usage.code.tex
File: pgfcorepathusage.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgf@shorten@end@additional=\dimen272
\pgf@shorten@start@additional=\dimen273
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescop
es.code.tex
File: pgfcorescopes.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgfpic=\box59
\pgf@hbox=\box60
\pgf@layerbox@main=\box61
\pgf@picture@serial@count=\count323
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregrap
hicstate.code.tex
File: pgfcoregraphicstate.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgflinewidth=\dimen274
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretran
sformations.code.tex
File: pgfcoretransformations.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgf@pt@x=\dimen275
\pgf@pt@y=\dimen276
\pgf@pt@temp=\dimen277
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequic
k.code.tex
File: pgfcorequick.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobje
cts.code.tex
File: pgfcoreobjects.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepath
processing.code.tex
File: pgfcorepathprocessing.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearro
ws.code.tex
File: pgfcorearrows.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgfarrowsep=\dimen278
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshad
e.code.tex
File: pgfcoreshade.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgf@max=\dimen279
\pgf@sys@shading@range@num=\count324
\pgf@shadingcount=\count325
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimag
e.code.tex
File: pgfcoreimage.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexte
rnal.code.tex
File: pgfcoreexternal.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgfexternal@startupbox=\box62
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelaye
rs.code.tex
File: pgfcorelayers.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretran
sparency.code.tex
File: pgfcoretransparency.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatt
erns.code.tex
File: pgfcorepatterns.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.
code.tex
File: pgfcorerdf.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)))
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/modules/pgfmoduleshape
s.code.tex
File: pgfmoduleshapes.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgfnodeparttextbox=\box63
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.
code.tex
File: pgfmoduleplot.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-ve
rsion-0-65.sty
Package: pgfcomp-version-0-65 2025-08-29 v3.1.11a (3.1.11a)
\pgf@nodesepstart=\dimen280
\pgf@nodesepend=\dimen281
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-ve
rsion-1-18.sty
Package: pgfcomp-version-1-18 2025-08-29 v3.1.11a (3.1.11a)
))
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code
.tex)) (/usr/local/texlive/2026basic/texmf-dist/tex/latex/pgf/math/pgfmath.sty
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/utilities/pgffor.code.
tex
Package: pgffor 2025-08-29 v3.1.11a (3.1.11a)
\pgffor@iter=\dimen282
\pgffor@skip=\dimen283
\pgffor@stack=\toks42
\pgffor@toks=\toks43
))
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tik
z.code.tex
Package: tikz 2025-08-29 v3.1.11a (3.1.11a)

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/libraries/pgflibrarypl
othandlers.code.tex
File: pgflibraryplothandlers.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgf@plot@mark@count=\count326
\pgfplotmarksize=\dimen284
)
\tikz@lastx=\dimen285
\tikz@lasty=\dimen286
\tikz@lastxsaved=\dimen287
\tikz@lastysaved=\dimen288
\tikz@lastmovetox=\dimen289
\tikz@lastmovetoy=\dimen290
\tikzleveldistance=\dimen291
\tikzsiblingdistance=\dimen292
\tikz@figbox=\box64
\tikz@figbox@bg=\box65
\tikz@tempbox=\box66
\tikz@tempbox@bg=\box67
\tikztreelevel=\count327
\tikznumberofchildren=\count328
\tikznumberofcurrentchild=\count329
\tikz@fig@count=\count330

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/modules/pgfmodulematri
x.code.tex
File: pgfmodulematrix.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgfmatrixcurrentrow=\count331
\pgfmatrixcurrentcolumn=\count332
\pgf@matrix@numberofcolumns=\count333
)
\tikz@expandcount=\count334

(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/frontendlayer/tikz/lib
raries/tikzlibrarytopaths.code.tex
File: tikzlibrarytopaths.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)))
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/libraries/pgflibraryar
rows.meta.code.tex
File: pgflibraryarrows.meta.code.tex 2025-08-29 v3.1.11a (3.1.11a)
\pgfarrowinset=\dimen293
\pgfarrowlength=\dimen294
\pgfarrowwidth=\dimen295
\pgfarrowlinewidth=\dimen296
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/frontendlayer/tikz/lib
raries/tikzlibrarypositioning.code.tex
File: tikzlibrarypositioning.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/frontendlayer/tikz/lib
raries/tikzlibrarycalc.code.tex
File: tikzlibrarycalc.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
(/usr/local/texlive/2026basic/texmf-dist/tex/generic/pgf/frontendlayer/tikz/lib
raries/tikzlibraryfit.code.tex
File: tikzlibraryfit.code.tex 2025-08-29 v3.1.11a (3.1.11a)
)
\c@claim=\count335

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/l3backend/l3backend-pdftex.d
ef
File: l3backend-pdftex.def 2025-10-09 L3 backend support: PDF output (pdfTeX)
\l__color_backend_stack_int=\count336
)
No file GAN_Detailed_Overview.aux.
\openout1 = `GAN_Detailed_Overview.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 33.
LaTeX Font Info:    ... okay on input line 33.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 33.
LaTeX Font Info:    ... okay on input line 33.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 33.
LaTeX Font Info:    ... okay on input line 33.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 33.
LaTeX Font Info:    ... okay on input line 33.
LaTeX Font Info:    Checking defaults for TS1/cmr/m/n on input line 33.
LaTeX Font Info:    ... okay on input line 33.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 33.
LaTeX Font Info:    ... okay on input line 33.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 33.
LaTeX Font Info:    ... okay on input line 33.
LaTeX Font Info:    Checking defaults for PD1/pdf/m/n on input line 33.
LaTeX Font Info:    ... okay on input line 33.
LaTeX Font Info:    Checking defaults for PU/pdf/m/n on input line 33.
LaTeX Font Info:    ... okay on input line 33.
*geometry* driver: auto-detecting
*geometry* detected driver: pdftex
*geometry* verbose mode - [ preamble ] result:
* driver: pdftex
* paper: <default>
* layout: <same size as paper>
* layoutoffset:(h,v)=(0.0pt,0.0pt)
* modes: 
* h-part:(L,W,R)=(36.135pt, 542.02501pt, 36.135pt)
* v-part:(T,H,B)=(36.135pt, 722.7pt, 36.135pt)
* \paperwidth=614.295pt
* \paperheight=794.96999pt
* \textwidth=542.02501pt
* \textheight=722.7pt
* \oddsidemargin=-36.135pt
* \evensidemargin=-36.135pt
* \topmargin=-73.135pt
* \headheight=12.0pt
* \headsep=25.0pt
* \topskip=12.0pt
* \footskip=30.0pt
* \marginparwidth=44.0pt
* \marginparsep=10.0pt
* \columnsep=10.0pt
* \skip\footins=10.8pt plus 4.0pt minus 2.0pt
* \hoffset=0.0pt
* \voffset=0.0pt
* \mag=1000
* \@twocolumnfalse
* \@twosidefalse
* \@mparswitchfalse
* \@reversemarginfalse
* (1in=72.27pt=25.4mm, 1cm=28.453pt)

(/usr/local/texlive/2026basic/texmf-dist/tex/context/base/mkii/supp-pdf.mkii
[Loading MPS to PDF converter (version 2006.09.02).]
\scratchcounter=\count337
\scratchdimen=\dimen297
\scratchbox=\box68
\nofMPsegments=\count338
\nofMParguments=\count339
\everyMPshowfont=\toks44
\MPscratchCnt=\count340
\MPscratchDim=\dimen298
\MPnumerator=\count341
\makeMPintoPDFobject=\count342
\everyMPtoPDFconversion=\toks45
)
(/usr/local/texlive/2026basic/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.s
ty
Package: epstopdf-base 2020-01-24 v2.11 Base part for package epstopdf
Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4
85.

(/usr/local/texlive/2026basic/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg
File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv
e
))
Package hyperref Info: Link coloring OFF on input line 33.
\@outlinefile=\write4
\openout4 = `GAN_Detailed_Overview.out'.

LaTeX Font Info:    Trying to load font information for U+msa on input line 35.

 (/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsfonts/umsa.fd
File: umsa.fd 2013/01/14 v3.01 AMS symbols A
)
LaTeX Font Info:    Trying to load font information for U+msb on input line 35.


(/usr/local/texlive/2026basic/texmf-dist/tex/latex/amsfonts/umsb.fd
File: umsb.fd 2013/01/14 v3.01 AMS symbols B
) [1

{/usr/local/texlive/2026basic/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]

LaTeX Warning: Reference `eq:minimax' on page 2 undefined on input line 119.


LaTeX Warning: Reference `eq:optimalD' on page 2 undefined on input line 146.

[2]

LaTeX Warning: Reference `eq:nonsaturating' on page 3 undefined on input line 1
87.


LaTeX Warning: Reference `eq:minimax' on page 3 undefined on input line 197.

[3]

LaTeX Warning: Reference `eq:minimax' on page 4 undefined on input line 229.


LaTeX Warning: Reference `eq:nonsaturating' on page 4 undefined on input line 2
48.


LaTeX Warning: Reference `sec:three-ways' on page 4 undefined on input line 256
.


LaTeX Warning: Reference `sec:three-ways' on page 4 undefined on input line 259
.


LaTeX Warning: Reference `eq:minimax' on page 4 undefined on input line 269.

[4]

LaTeX Warning: Reference `eq:nonsaturating' on page 5 undefined on input line 2
73.


LaTeX Warning: Reference `sec:three-ways' on page 5 undefined on input line 282
.

[5] (./GAN_Detailed_Overview.aux)
 ***********
LaTeX2e <2025-11-01>
L3 programming layer <2026-01-19>
 ***********


LaTeX Warning: There were undefined references.


LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right.


Package rerunfilecheck Warning: File `GAN_Detailed_Overview.out' has changed.
(rerunfilecheck)                Rerun to get outlines right
(rerunfilecheck)                or use package `bookmark'.

Package rerunfilecheck Info: Checksums for `GAN_Detailed_Overview.out':
(rerunfilecheck)             Before: <no file>
(rerunfilecheck)             After:  8F847726D18C3A5122F9FC3090D359F1;1890.
 ) 
Here is how much of TeX's memory you used:
 21371 strings out of 469006
 398155 string characters out of 5454814
 794630 words of memory out of 5000000
 49703 multiletter control sequences out of 15000+600000
 640515 words of font info for 88 fonts, out of 8000000 for 9000
 319 hyphenation exceptions out of 8191
 84i,12n,94p,558b,728s stack positions out of 10000i,1000n,20000p,200000b,200000s
 </Users/vip/Library/texlive/2026basic/texmf-var/fonts/pk/ljfour/jknappen/ec/
tcrm1200.600pk></usr/local/texlive/2026basic/texmf-dist/fonts/type1/public/amsf
onts/cm/cmbx10.pfb></usr/local/texlive/2026basic/texmf-dist/fonts/type1/public/
amsfonts/cm/cmbx12.pfb></usr/local/texlive/2026basic/texmf-dist/fonts/type1/pub
lic/amsfonts/cm/cmbx8.pfb></usr/local/texlive/2026basic/texmf-dist/fonts/type1/
public/amsfonts/cm/cmex10.pfb></usr/local/texlive/2026basic/texmf-dist/fonts/ty
pe1/public/amsfonts/cm/cmmi10.pfb></usr/local/texlive/2026basic/texmf-dist/font
s/type1/public/amsfonts/cm/cmmi12.pfb></usr/local/texlive/2026basic/texmf-dist/
fonts/type1/public/amsfonts/cm/cmmi8.pfb></usr/local/texlive/2026basic/texmf-di
st/fonts/type1/public/amsfonts/cm/cmr10.pfb></usr/local/texlive/2026basic/texmf
-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb></usr/local/texlive/2026basic/te
xmf-dist/fonts/type1/public/amsfonts/cm/cmr17.pfb></usr/local/texlive/2026basic
/texmf-dist/fonts/type1/public/amsfonts/cm/cmr6.pfb></usr/local/texlive/2026bas
ic/texmf-dist/fonts/type1/public/amsfonts/cm/cmr8.pfb></usr/local/texlive/2026b
asic/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb></usr/local/texlive/2
026basic/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy8.pfb></usr/local/texliv
e/2026basic/texmf-dist/fonts/type1/public/amsfonts/cm/cmti12.pfb></usr/local/te
xlive/2026basic/texmf-dist/fonts/type1/public/amsfonts/cm/cmti8.pfb></usr/local
/texlive/2026basic/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt12.pfb></usr/l
ocal/texlive/2026basic/texmf-dist/fonts/type1/public/amsfonts/symbols/msbm10.pf
b>
Output written on GAN_Detailed_Overview.pdf (5 pages, 213848 bytes).
PDF statistics:
 150 PDF objects out of 1000 (max. 8388607)
 104 compressed objects within 2 object streams
 24 named destinations out of 1000 (max. 500000)
 13 words of extra memory for PDF output out of 10000 (max. 10000000)