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Self-supervised representation learning has achieved impressive empirical success, yet its theoretical understanding remains limited. In this work, we provide a theoretical perspective by formulating self-supervised representation learning…

Machine Learning · Computer Science 2025-10-14 Byeongchan Lee

Scoring systems are linear classification models that only require users to add or subtract a few small numbers in order to make a prediction. They are used for example by clinicians to assess the risk of medical conditions. This work…

Human-Computer Interaction · Computer Science 2019-12-02 Hans-Jürgen Profitlich , Daniel Sonntag

These lectures were given at the Weizmann Institute in the spring of 2019. They are intended to familiarize students with the nuts and bolts of the numerical bootstrap as efficiently as possible. After a brief review of the basics of…

High Energy Physics - Theory · Physics 2021-07-01 Shai M. Chester

We present an intermediate-level course on sustainable physics, which combines lectures and student projects. Sustainable physics concepts are progressively introduced through both a global and a specialized perspective: climate change and…

In this note we classify the necessary and the sufficient conditions that an index of a superconformal theory in $3\leq d \leq 6$ must obey for the theory to have enhanced supersymmetry. We do that by noting that the index distinguishes a…

High Energy Physics - Theory · Physics 2019-01-15 Mikhail Evtikhiev

Predictive inference is a fundamental task in statistics, traditionally addressed using parametric assumptions about the data distribution and detailed analyses of how models learn from data. In recent years, conformal prediction has…

Methodology · Statistics 2026-03-26 Matteo Sesia , Stefano Favaro

These lectures on supersymmetry and extra dimensions are aimed at finishing undergraduate and beginning postgraduate students with a background in quantum field theory and group theory. Basic knowledge in general relativity might be…

High Energy Physics - Theory · Physics 2010-11-08 Sven Krippendorf , Fernando Quevedo , Oliver Schlotterer

I give a pedagogical introduction to the concepts and the tools that are necessary to study particle physics models in higher dimensions. I then give a more detailed presentation of warped compactifications and discuss their possible…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Rattazzi

In these lectures we discuss the supersymmetry algebra and its irreducible representations. We construct the theories of rigid supersymmetry and gave their superspace formulations. The perturbative quantum properties of the extended…

High Energy Physics - Theory · Physics 2007-05-23 P. C. West

This text is a full transcription of a lecture was given in the Joint Universities Accelerator School (JUAS) in 2023. A much shorter version is to be published in the JUAS book in 2024, along with all other lectures from the JUAS school.…

Accelerator Physics · Physics 2023-10-16 Claire Z. Antoine

Supersymmetry and Supersymmetric models are reviewed. Lecture given at the KOSEF-JSPS Winter School, Recent Developments in Particle and Nuclear Theory February 21- March 2, 1996,

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Sakai

Elements of supergeometry are an ingredient in many contemporary classical and quantum field models involving odd fields. For instance, this is the case of SUSY field theory, BRST theory, supergravity. Addressing to theoreticians, these…

Mathematical Physics · Physics 2009-10-02 G. Sardanashvily

These lectures give a self-contained introduction to supersymmetry from a modern perspective. Emphasis is placed on material essential to understanding duality. Topics include: central charges and BPS-saturated states, supersymmetric…

High Energy Physics - Theory · Physics 2007-05-23 Joseph D. Lykken

Special functions have always played a central role in physics and in mathematics, arising as solutions of particular differential equations, or integrals, during the study of particular important physical models and theories in Quantum…

General Mathematics · Mathematics 2019-07-30 Enrico Masina

Machine learning models such as Transformers or LSTMs struggle with tasks that are compositional in nature such as those involving reasoning/inference. Although many datasets exist to evaluate compositional generalization, when it comes to…

Artificial Intelligence · Computer Science 2022-04-12 Santiago Ontanon , Joshua Ainslie , Vaclav Cvicek , Zachary Fisher

This is a very pedagogical review of supersymmetry phenomenology, given at ICTP Summer School in 1999, aimed mostly at students who had never studied supersymmetry before. It starts with an analogy that the reason why supersymmetry is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Murayama

This is a written version of a series of lectures aimed at undergraduate students in astrophysics/particle theory/particle experiment. We summarize the important progress made in recent years towards understanding high energy astrophysical…

Physics Education · Physics 2016-06-16 Luis A. Anchordoqui

These lecture notes give an introduction to the theory of interacting particle systems. The main subjects are the construction using generators and graphical representations, the mean field limit, stochastic order, duality, and the relation…

Probability · Mathematics 2025-11-10 Jan M. Swart

This article serves as the regression analysis lecture notes in the Intelligent Computing course cluster (including the courses of Artificial Intelligence, Data Mining, Machine Learning, and Pattern Recognition). It aims to provide students…

Machine Learning · Computer Science 2025-12-05 Jingyuan Wang , Jiahao Ji

The purpose of these lecture notes is to give a quick and introductory overview of holographic superconductors. Besides the actual description of the standard holographic superconductor, attention is paid to the motivations and the relation…

High Energy Physics - Theory · Physics 2014-02-17 Daniele Musso