Bandwidth freeze
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% remove unnecessary warnings
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% Hebrew + English via XeLaTeX:
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% For parenthesis before sub-table caption
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% Misc packages:
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%theorem, corollary and lemma definitions:
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%proof definition:
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% Change back to default values - needed to repeat assumptions
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% bibliography:
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%add bib to toc
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%add command for citation with possessive apostrophe
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%Natbib cites cannot be broken to two lines
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% paragraph settings:
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% drawing and graphics:
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\usetikzlibrary{matrix,positioning}
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\usepackage{float} %Not sure it will be needed
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\usepackage{graphicx}
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\graphicspath{ {content/images/} }
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\usepackage{booktabs}
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\usepackage{titling}
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\usepackage[titletoc]{appendix}
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% Code listings:
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%Not included since 'hyperref' and 'bookmark' are too problematic with Hebrew
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% \usepackage[hidelinks]{hyperref}
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% \usepackage{bookmark}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% cleveref:
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\usepackage[capitalise]{cleveref}
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%Workaround for babel and cleveref (for citing few equations)
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\makeatletter
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\def\@@number#1{#1}
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\makeatother
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\Crefname{observation}{Observation}{Observations}
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\Crefname{assumption}{Assumption}{Assumptions}
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\Crefname{remark}{Remark}{Remarks}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%set spacing between lines
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\usepackage{setspace}
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\doublespacing
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%Title and names for the article
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\newcommand{\thesistitle}{\textbf{Noise-Robust Gradient-Based Learning Utilizing Rate Optimized Likelihood Loss}}
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\newcommand{\thesistitlehe}{\textbf{למידה עמידה לרעש מבוססת גרדיאנט תוך שימוש בפונקציית הפסד קירוב-הסתברות}}
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\newcommand{\thesisauthorname}{\textbf{Aner Zakobar}}
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\newcommand{\thesisauthornamehe}{\textbf{ענר זקובר}}
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\newcommand{\thesissupervisername}{\textbf{Prof. Lior Rokach, Prof. Aryeh Kontorovich}}
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\newcommand{\thesissupervisernamehe}{\textbf{פרופ. ליאור רוקח, פרופ. אריה קונטורוביץ}}
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\newcommand{\thesismonth}{\textbf{September}}
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\newcommand{\thesismonthhe}{\textbf{ספטמבר}}
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\newcommand{\thesisyear}{\textbf{2026}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{document}
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\begin{titlepage}
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\centering
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\vspace*{3cm}
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{\LARGE\bfseries Noise-Robust Gradient-Based Learning\\[0.5em]
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Utilizing Rate Optimized Likelihood Loss}\\[2.5em]
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{\large Aner Zakobar}\\[0.5em]
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{\normalsize Supervised by: Prof.\ Lior Rokach, Prof.\ Aryeh Kontorovich}\\[3em]
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\rule{0.5\textwidth}{0.4pt}\\[1em]
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{\large\itshape Excerpt: Chapter~3 \& Appendices A, C--F, I}\\[0.5em]
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{\normalsize Note: cross-references to omitted chapters appear as \textbf{??}}\\[1em]
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\rule{0.5\textwidth}{0.4pt}
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\vfill
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{\large September 2026}
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\end{titlepage}
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\tableofcontents
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\clearpage
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\mainmatter
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%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%
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\setcounter{chapter}{2}
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\chapter{Method}
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\label{chapter:method}
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\input{content/method/method}
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%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%
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\begin{appendices}
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\setcounter{chapter}{0}
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\chapter{Gaussian ROLL: Forward Pass and Gradient Derivation}
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\label{appendix:gauss-grad}
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\input{content/appendixs/appendix_gauss_grad}
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\setcounter{chapter}{2}
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\chapter{KDE ROLL: Gradient Derivation}
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\label{appendix:kde-grad}
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\input{content/appendixs/appendix_kde_grad}
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\setcounter{chapter}{3}
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\chapter{KDE ROLL: Sigmoid Kernel -- Explicit Equations}
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\label{appendix:kde-sigmoid}
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\input{content/appendixs/appendix_kde_sigmoid}
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\setcounter{chapter}{4}
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\chapter{KDE ROLL: Bisection for CDF Inversion}
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\label{appendix:kde-bisection}
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\input{content/appendixs/appendix_kde_bisection}
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\setcounter{chapter}{5}
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\chapter{KDE ROLL: Newton--Raphson Inversion (Superseded)}
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\label{appendix:kde-nr}
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\input{content/appendixs/appendix_kde_nr}
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\setcounter{chapter}{8}
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\chapter{Proof of the Gradient Balance Proposition}
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\label{appendix:grad-balance}
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\input{content/appendixs/appendix_grad_balance}
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\end{appendices}
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%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%
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\bibliography{bibliography/thesis}
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\end{document}
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