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thesis/mentor.tex
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2026-09-09 12:07:01 +03:00

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%Title and names for the article
\newcommand{\thesistitle}{\textbf{Noise-Robust Gradient-Based Learning Utilizing Rate Optimized Likelihood Loss}}
\newcommand{\thesistitlehe}{\textbf{למידה עמידה לרעש מבוססת גרדיאנט תוך שימוש בפונקציית הפסד קירוב-הסתברות}}
\newcommand{\thesisauthorname}{\textbf{Aner Zakobar}}
\newcommand{\thesisauthornamehe}{\textbf{ענר זקובר}}
\newcommand{\thesissupervisername}{\textbf{Prof. Lior Rokach, Prof. Aryeh Kontorovich}}
\newcommand{\thesissupervisernamehe}{\textbf{פרופ. ליאור רוקח, פרופ. אריה קונטורוביץ}}
\newcommand{\thesismonth}{\textbf{September}}
\newcommand{\thesismonthhe}{\textbf{ספטמבר}}
\newcommand{\thesisyear}{\textbf{2026}}
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\begin{document}
\begin{titlepage}
\centering
\vspace*{3cm}
{\LARGE\bfseries Noise-Robust Gradient-Based Learning\\[0.5em]
Utilizing Rate Optimized Likelihood Loss}\\[2.5em]
{\large Aner Zakobar}\\[0.5em]
{\normalsize Supervised by: Prof.\ Lior Rokach, Prof.\ Aryeh Kontorovich}\\[3em]
\rule{0.5\textwidth}{0.4pt}\\[1em]
{\large\itshape Excerpt: Chapter~3 \& Appendices A, C--F, I}\\[0.5em]
{\normalsize Note: cross-references to omitted chapters appear as \textbf{??}}\\[1em]
\rule{0.5\textwidth}{0.4pt}
\vfill
{\large September 2026}
\end{titlepage}
\tableofcontents
\clearpage
\mainmatter
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\setcounter{chapter}{2}
\chapter{Method}
\label{chapter:method}
\input{content/method/method}
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\begin{appendices}
\setcounter{chapter}{0}
\chapter{Gaussian ROLL: Forward Pass and Gradient Derivation}
\label{appendix:gauss-grad}
\input{content/appendixs/appendix_gauss_grad}
\setcounter{chapter}{2}
\chapter{KDE ROLL: Gradient Derivation}
\label{appendix:kde-grad}
\input{content/appendixs/appendix_kde_grad}
\setcounter{chapter}{3}
\chapter{KDE ROLL: Sigmoid Kernel -- Explicit Equations}
\label{appendix:kde-sigmoid}
\input{content/appendixs/appendix_kde_sigmoid}
\setcounter{chapter}{4}
\chapter{KDE ROLL: Bisection for CDF Inversion}
\label{appendix:kde-bisection}
\input{content/appendixs/appendix_kde_bisection}
\setcounter{chapter}{5}
\chapter{KDE ROLL: Newton--Raphson Inversion (Superseded)}
\label{appendix:kde-nr}
\input{content/appendixs/appendix_kde_nr}
\setcounter{chapter}{8}
\chapter{Proof of the Gradient Balance Proposition}
\label{appendix:grad-balance}
\input{content/appendixs/appendix_grad_balance}
\end{appendices}
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\bibliography{bibliography/thesis}
\end{document}