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This is an expanded and revised text for a fifteen minute talk given at the University of Queensland Physics Camp, September 2000. The focus is on the goals and motivations for studying quantum information theory, rather than on technical…

Quantum Physics · Physics 2007-05-23 M. A. Nielsen

Knowledge distillation learns a lightweight student model that mimics a cumbersome teacher. Existing methods regard the knowledge as the feature of each instance or their relations, which is the instance-level knowledge only from the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Sanli Tang , Zhongyu Zhang , Zhanzhan Cheng , Jing Lu , Yunlu Xu , Yi Niu , Fan He

The increased model capacity of Diffusion Transformers (DiTs) and the demand for generating higher resolutions of images and videos have led to a significant rise in inference latency, impacting real-time performance adversely. While prior…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Xibo Sun , Jiarui Fang , Aoyu Li , Jinzhe Pan

An approximation of the density of states for the Ising and Potts models based on the high- and low-temperature series are developed.

Strongly Correlated Electrons · Physics 2007-06-22 Daniel Andren

Rejoinder: 2004 IMS Medallion Lecture: Local Rademacher complexities and oracle inequalities in risk minimization [arXiv:0708.0083]

Statistics Theory · Mathematics 2009-09-29 Vladimir Koltchinskii

Notes of an introductory course given at the conference "Torsors: Theory and Applications" in Edinburgh, January 2011.

Algebraic Geometry · Mathematics 2013-05-15 Juergen Hausen

This is an expanded version of lectures given at a Summer School "Geometric methods in Representation Theory" (Grenoble, 2008).

Representation Theory · Mathematics 2009-05-06 Victor Ginzburg

Knowledge distillation allows transferring knowledge from a pre-trained model to another. However, it suffers from limitations, and constraints related to the two models need to be architecturally similar. Knowledge distillation addresses…

Image and Video Processing · Electrical Eng. & Systems 2020-09-03 Sajjad Abbasi , Mohsen Hajabdollahi , Pejman Khadivi , Nader Karimi , Roshanak Roshandel , Shahram Shirani , Shadrokh Samavi

These notes arose from a mini lecture series the author gave at the Early Career Researchers Workshop on Geometric Analysis and PDEs, held in January 2020 at the Matrix institute of the University of Melbourne. We discussed some classical…

Differential Geometry · Mathematics 2021-03-23 Julian Scheuer

I describe a method, particularly suitable to implementation by computer algebra, for the derivation of low-dimensional models of dynamical systems. The method is systematic and is based upon centre manifold theory. Computer code for the…

chao-dyn · Physics 2009-10-28 A. J. Roberts

This text is based on a series of three expository lectures on a variety of topics related to "thin orbits," as delivered at Durham University's Easter School on "Dynamics and Analytic Number Theory" in April 2014. The first lecture reviews…

Number Theory · Mathematics 2016-06-22 Alex Kontorovich

These notes, based on a graduate course I gave at Hamburg University in 2003, are intended to students having basic knowledges of differential geometry. Their main purpose is to provide a quick and accessible introduction to different…

Differential Geometry · Mathematics 2007-05-23 Andrei Moroianu

Lectures deliverd at the NATO Advanced Study Institute on QCD Perspectives on Hot and Dense Matter, Cargese, Aug. 6 - 18, 2001. Dedicated to the memory of Dominique Vautherin.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Matsui

These are expanded notes of some lectures given by the author for a workshop held at the Indian Statistical Institute, Bangalore in June, 2010, giving an exposition on the modular representations of finite groups of Lie type and $p$-adic…

Number Theory · Mathematics 2014-04-29 Dipendra Prasad

The computational benefits of iterative non-autoregressive transformers decrease as the number of decoding steps increases. As a remedy, we introduce Distill Multiple Steps (DiMS), a simple yet effective distillation technique to decrease…

Computation and Language · Computer Science 2023-06-13 Sajad Norouzi , Rasa Hosseinzadeh , Felipe Perez , Maksims Volkovs

These Lecture notes give an introduction to Regge calculus as a discrete model of General Relativity.

General Relativity and Quantum Cosmology · Physics 2009-09-29 Alexis Larranaga

This set of lecture notes on local theta correspondence is the written version of a mini-course the author gave in March of 2025 for the program ``Representation Theory and Noncommutative Geometry" at the Institut Henri Poincar\'e, Paris.…

Representation Theory · Mathematics 2026-01-13 Chen-Bo Zhu

This is a set of introductory lectures on the behaviour of a directed polymer in a random medium. Both the intuitive picture that helps in developing an understanding and systematic approaches for quantitative studies are discussed.

Statistical Mechanics · Physics 2007-05-23 Somendra M. Bhattacharjee

Memoir on the Sigma invariants and their applications, version 2

Group Theory · Mathematics 2013-03-04 Ralph Strebel

These are lecture notes that are based on the lectures from a class I taught on the topic of Spectral Graph Methods at UC Berkeley during the Spring 2015 semester.

Data Structures and Algorithms · Computer Science 2016-08-18 Michael W. Mahoney