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Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Methodology · Statistics 2009-09-29 Bing Li

Comment: Fisher Lecture: Dimension Reduction in Regression [arXiv:0708.3774]

Methodology · Statistics 2007-08-30 Ronald Christensen

The descriptions (up to isomorphism) of naturally graded $p$-filiform Leibniz algebras and $p$-filiform ($p\leq 3$) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for $p$-filiform…

Rings and Algebras · Mathematics 2013-11-22 L. M. Camacho , E. M. Canete , J. R. Gomez , B. A. Omirov

Dimensionality reduction is a fundamental task that aims to simplify complex data by reducing its feature dimensionality while preserving essential patterns, with core applications in data analysis and visualisation. To preserve the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Thomas Dagès , Simon Weber , Ya-Wei Eileen Lin , Ronen Talmon , Daniel Cremers , Michael Lindenbaum , Alfred M. Bruckstein , Ron Kimmel

These are lecture notes on scale calculus and M-polyfolds written for a graduate course at UNICAMP March-June 2018 and an advanced mini-course given during the biannual meeting of Brazilian mathematicians, CBM-32, at IMPA in August 2019.

Symplectic Geometry · Mathematics 2019-08-14 Joa Weber

These notes give an introduction to the Gabriel-Roiter measure of a finite dimensional algebra. They are based on a series of four lectures at the "Advanced School and Conference on Representation Theory and Related Topics" in Trieste…

Representation Theory · Mathematics 2011-07-14 Henning Krause

This is a survey article, based on the author's lectures in the 2015 Current developments in Mathematics meeting; published in "Current developments in Mathematics". Version 2, references corrected and added.

Differential Geometry · Mathematics 2017-03-09 Simon Donaldson

This is a review of recent results on conformal (super)algebras. It may be viewed as an amplification of my Wigner medal acceptance speech (given in July 1996 in Goslar, Germany) reproduced in the introduction.

q-alg · Mathematics 2008-02-03 Victor G. Kac

This is an expanded version of my Shaw Prize Lecture delivered at the Chinese University of Hong Kong.

Representation Theory · Mathematics 2014-09-30 G. Lusztig

This is an extended abstract of my talk at the Oberwolfach Workshop "Representation Theory of Quivers and Finite-Dimensional Algebras" (February 12 - February 18, 2023 ). It is based on a joint work with R. Bennett-Tennenhaus…

Rings and Algebras · Mathematics 2023-03-13 Daniel Labardini-Fragoso

The connection between polynomial solutions of finite-difference equations and finite-dimensional representations of the $sl_2$-algebra is established (the talk given at the Wigner Symposium, Guadalajara, Mexico, August 1995, to be…

funct-an · Mathematics 2008-02-03 Yuri Smirnov , Alexander Turbiner

This is a write-up of the lectures given by the author during the Master Class "Categorification" at {\AA}rhus University, Denmark in October 2010.

Representation Theory · Mathematics 2011-09-08 Volodymyr Mazorchuk

These lecture notes are intended to give a modest impulse to anyone willing to start or pursue a journey into the theory of Vertex Algebras by reading one of Kac's or Lepowsky-Li's books. Therefore, the primary goal is to provide required…

Quantum Algebra · Mathematics 2008-11-11 Christophe Nozaradan

This is the write-up of the talk I gave at the 23rd International Symposium on Mathematical Programming (ISMP) in Bordeaux, France, July 6th, 2018. The talk was a general overview of the state of the art of time-varying, mainly convex,…

Optimization and Control · Mathematics 2018-08-02 Andrea Simonetto

This is an English translation of Felix Klein's paper "Ueber die Transformation elfter Ordnung der elliptischen Functionen" from 1879.

History and Overview · Mathematics 2021-09-16 Yonathan Stone

This compendium gathers all the accepted extended abstracts from the Second International Conference on Medical Imaging with Deep Learning (MIDL 2019), held in London, UK, 8-10 July 2019. Note that only accepted extended abstracts are…

Image and Video Processing · Electrical Eng. & Systems 2019-07-23 M. Jorge Cardoso , Aasa Feragen , Ben Glocker , Ender Konukoglu , Ipek Oguz , Gozde Unal , Tom Vercauteren

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

We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete description of the maximal algebras of truncated Toeplitz…

Functional Analysis · Mathematics 2011-04-06 Stephan Ramon Garcia , William T. Ross , Warren R. Wogen

The text of the talk on Workshop on Topology of Algebraic Varieties in honour of Boris Moishezon, Bonn, MPI, Monday July 27, 1998.

Algebraic Geometry · Mathematics 2007-05-23 Vik. S. Kulikov

This paper is a comprehensive introduction to the results of [7]. It grew as an expanded version of a talk given at INdAM Meeting Complex and Symplectic Geometry, held at Cortona in June 12-18, 2016. It deals with the construction of the…

Complex Variables · Mathematics 2017-04-25 Laurent Meersseman