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Algebra and Its Applications

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The article was published on 2006-12-07 and is currently open access. It has received 2027 citations till now. The article focuses on the topics: Filtered algebra & Cellular algebra.

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Journal ArticleDOI

A tutorial on support vector regression

TL;DR: This tutorial gives an overview of the basic ideas underlying Support Vector (SV) machines for function estimation, and includes a summary of currently used algorithms for training SV machines, covering both the quadratic programming part and advanced methods for dealing with large datasets.
Proceedings ArticleDOI

Feature selection, L1 vs. L2 regularization, and rotational invariance

TL;DR: A lower-bound is given showing that any rotationally invariant algorithm---including logistic regression with L1 regularization, SVMs, and neural networks trained by backpropagation---has a worst case sample complexity that grows at least linearly in the number of irrelevant features.
Journal ArticleDOI

Entanglement detection

TL;DR: In this article, the basic elements of entanglement theory for two or more particles and verification procedures, such as Bell inequalities, entangle witnesses, and spin squeezing inequalities, are discussed.
Journal ArticleDOI

Closest point search in lattices

TL;DR: An efficient closest point search algorithm, based on the Schnorr-Euchner (1995) variation of the Pohst (1981) method, is implemented and is shown to be substantially faster than other known methods.
Journal ArticleDOI

Deformable Medical Image Registration: A Survey

TL;DR: This paper attempts to give an overview of deformable registration methods, putting emphasis on the most recent advances in the domain, and provides an extensive account of registration techniques in a systematic manner.