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We consider a discriminative learning (regression) problem, whereby the regression function is a convex combination of k linear classifiers. Existing approaches are based on the EM algorithm, or similar techniques, without provable…

Machine Learning · Computer Science 2014-08-01 Yuekai Sun , Stratis Ioannidis , Andrea Montanari

In recent years, automated, supervised classification techniques have been fruitfully applied to labeling and organizing large astronomical databases. These methods require off-line classifier training, based on labeled examples from each…

Astrophysics · Physics 2009-11-10 David Bazell , David J. Miller

Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

Machine Learning · Computer Science 2012-07-02 Koby Crammer , Amir Globerson

This paper presents the complete classification of E_0-semigroups by product systems in the case of von Neumann correspondences, and under countability assumptions in the case of C*-correspondences.

Operator Algebras · Mathematics 2016-07-29 Michael Skeide

When a semigroup has a unary operation, it is possible to define two binary operations, namely, left and right division. In addition it is well known that groups can be defined in terms of those two divisions. The aim of this paper is to…

Group Theory · Mathematics 2012-10-01 Joao Araujo , Michael Kinyon

We investigate the separability of several well known classes of subgroups of the mapping class group of a surface.

Group Theory · Mathematics 2009-01-26 Christopher J. Leininger , D. B. McReynolds

In this paper we consider the problem of collectively classifying entities where relational information is available across the entities. In practice inaccurate class distribution for each entity is often available from another (external)…

Machine Learning · Computer Science 2012-06-27 Sundararajan Sellamanickam , Sathiya Keerthi Selvaraj

We define orbifold mapping class groups (with marked points) and study them using their action on certain orbifold analogs of arcs and simple closed curves. Moreover, we establish a Birman exact sequence for suitable subgroups of orbifold…

Geometric Topology · Mathematics 2023-05-09 Jonas Flechsig

In this paper we classify in terms of Lie point symmetries the three-dimensional nonrelativistic motion of charged particles in arbitrary time-independent electromagnetic fields. The classification is made on the ground of equivalence…

Mathematical Physics · Physics 2017-12-06 Nikos Kallinikos

A general sieve method for groups is formulated. It enables one to "measure" subsets of a finitely generated group. As an application we show that if $\Gamma$ is a finitely generated non virtually-solvable linear group of characteristic…

Group Theory · Mathematics 2011-07-20 Alexander Lubotzky , Chen Meiri

The purposes of this paper are to classify lower triangular forms and to determine under what conditions a nonlinear system is equivalent to a specific type of lower triangular forms. According to the least multi-indices and the greatest…

Systems and Control · Electrical Eng. & Systems 2022-08-16 Duan Zhang , Ying Sun

Class imbalance in graph data presents a significant challenge for effective node classification, particularly in semi-supervised scenarios. In this work, we formally introduce the concept of geometric imbalance, which captures how message…

Machine Learning · Computer Science 2026-03-24 Liang Yan , Shengzhong Zhang , Bisheng Li , Menglin Yang , Chen Yang , Min Zhou , Weiyang Ding , Yutong Xie , Zengfeng Huang

This short note shows how the Novikov conjecture for mapping class groups follows from a theorem of Kato and a result theorem of Hamenstadt.

Geometric Topology · Mathematics 2007-05-23 Peter A. Storm

We give an alternative to Postnikov's homotopy classification of maps from 3-dimensional CW-complexes to homogeneous spaces G/H of Lie groups. It describes homotopy classes in terms of lifts to the group G and is suitable for extending the…

Geometric Topology · Mathematics 2012-11-26 Sergiy Koshkin

Identification of nonlinear systems is a challenging problem. Physical knowledge of the system can be used in the identification process to significantly improve the predictive performance by restricting the space of possible mappings from…

Computation · Statistics 2022-10-27 Anna Wigren , Johan Wågberg , Fredrik Lindsten , Adrian Wills , Thomas B. Schön

We obtain the formula computing the number of isomorphic classes of ramification systems with characters over group $S_n$ ($n \not=6$) and their representatives.

Spectral Theory · Mathematics 2007-10-27 Shouchuan Zhang , Min Wu , Hengtai Wang

In this paper we obtain well-posedness for a class of semilinear weakly degenerate reaction-diffusion systems with Robin boundary conditions. This result is obtained through a Gagliardo-Nirenberg interpolation inequality and some embedding…

Analysis of PDEs · Mathematics 2015-09-21 Giuseppe Floridia

In this paper, we construct a Rabinowitz-Floer type homology for a class of non-linear problems having a \emph{starshaped} potential; we consider some equivariant cases as well. We give an explicit computation of the homology and we apply…

Analysis of PDEs · Mathematics 2015-03-17 Ali Maalaoui , Vittorio Martino

When facing uncertainty, decision-makers want predictions they can trust. A machine learning provider can convey confidence to decision-makers by guaranteeing their predictions are distribution calibrated -- amongst the inputs that receive…

Machine Learning · Statistics 2021-07-14 Shengjia Zhao , Michael P. Kim , Roshni Sahoo , Tengyu Ma , Stefano Ermon

Equation discovery methods enable modelers to combine domain-specific knowledge and system identification to construct models most suitable for a selected modeling task. The method described and evaluated in this paper can be used as a…

Machine Learning · Computer Science 2019-07-02 Nikola Simidjievski , Ljupčo Todorovski , Juš Kocijan , Sašo Džeroski