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The aim of this note is to give a quick algebraic proof of (the combinatorial part of) the classification theorem for compact real surfaces, whose classical proofs (as in the Massey book and in the Conway ZIP proof) are based on surgery…

Algebraic Topology · Mathematics 2012-04-26 Maurizio Cailotto

In this paper, we study the interplay between acceleration and structure identification for the proximal gradient algorithm. We report and analyze several cases where this interplay has negative effects on the algorithm behavior (iterates…

Optimization and Control · Mathematics 2020-09-01 Gilles Bareilles , Franck Iutzeler

In this paper, we point out that the definition of weak tracial approximation can be improved and strengthened. An example of weak tracial approximation is also provided.

Operator Algebras · Mathematics 2022-09-27 Xiaochun Fang , Junqi Yang

In this paper we introduce several natural definitions of asymptotic independence of two sequences of random elements. We discuss their basic properties, some simple connections between them and connections with properties of weak…

Probability · Mathematics 2020-08-25 Youri Davydov , Svyatoslav Novikov

Models characterized by autoregressive structure and random coefficients are powerful tools for the analysis of high-frequency, high-dimensional and volatile time series. The available literature on such models is broad, but also sectorial,…

Methodology · Statistics 2020-09-18 Marta Regis , Paulo Serra , Edwin R. van den Heuvel

By analyzing an optimization problem over orthogonal matrices, we prove a generalization of the Hardy-Littlewood-P\'olya rearrangement inequality to positive definite matrices. The inequality is then extended to rectangular matrices. Using…

Functional Analysis · Mathematics 2025-11-19 Man-Chung Yue

This paper concerns the explicit treatment of substitutions in the lambda calculus. One of its contributions is the simplification and rationalization of the suspension calculus that embodies such a treatment. The earlier version of this…

Logic in Computer Science · Computer Science 2007-05-23 Andrew Gacek , Gopalan Nadathur

We initiate the study of reducts of relational structures up to primitive positive interdefinability: After providing the tools for such a study, we apply these tools in order to obtain a classification of the reducts of the logic of…

Logic · Mathematics 2010-01-16 Manuel Bodirsky , Hubie Chen , Michael Pinsker

The likelihood for the parameters of a generalized linear mixed model involves an integral which may be of very high dimension. Because of this intractability, many approximations to the likelihood have been proposed, but all can fail when…

Computation · Statistics 2014-09-01 Helen Ogden

This note provides a brief introduction to Redis highlighting its usefulness in multi-lingual statistical computing.

Computation · Statistics 2022-03-15 Dirk Eddelbuettel

This paper introduces new subdifferential concepts together with their main properties and place with respect to other subdifferential notions.

Optimization and Control · Mathematics 2020-02-18 M. D. Voisei

In this paper, we identify and study an important problem of gradient item retrieval. We define the problem as retrieving a sequence of items with a gradual change on a certain attribute, given a reference item and a modification text. For…

Information Retrieval · Computer Science 2021-06-02 Haonan Wang , Chang Zhou , Carl Yang , Hongxia Yang , Jingrui He

In mathematical finance, Levy processes are widely used for their ability to model both continuous variation and abrupt, discontinuous jumps. These jumps are practically relevant, so reliable inference on the feature that controls jump…

Statistics Theory · Mathematics 2021-09-21 Zhe Wang , Ryan Martin

The values of many phenomena in the Nature $z$ are determined in some discrete set of times t_n, separated by a small interval $\Delta t$ (which may also represent a coordinate, etc.). Let the $z$ value in neighbour point…

General Physics · Physics 2017-09-13 I. F. Ginzburg

This paper continues a series of investigations on converging representations for the Riemann Zeta function. We generalize some identities which involve Riemann's zeta function, and moreover we give new series and integrals for the zeta…

Number Theory · Mathematics 2012-02-01 Alois Pichler

Recently, a complete characterization of connected Lie groups with the Approximation Property was given. The proof used of the newly introduced property (T*). We present here a short proof of the same result avoiding the use of property…

Operator Algebras · Mathematics 2016-09-19 Søren Knudby

This tutorial provides an introduction to the development of fast matrix algorithms based on the notions of displacement and various low-rank structures.

Numerical Analysis · Mathematics 2018-07-24 Shivkumar Chandrasekaran , Nithin Govindarajan , Abhejit Rajagopal

The unified property roughly states that searching for an element is fast when the current access is close to a recent access. Here, "close" refers to rank distance measured among all elements stored by the dictionary. We show that distance…

Data Structures and Algorithms · Computer Science 2013-02-28 John Howat , John Iacono , Pat Morin

This paper looks at a common law legal system as a learning algorithm, models specific features of legal proceedings, and asks whether this system learns efficiently. A particular feature of our model is explicitly viewing various aspects…

Computers and Society · Computer Science 2022-09-12 Jason D. Hartline , Daniel W. Linna , Liren Shan , Alex Tang

We study links between first-order formulas and arbitrary properties for families of theories, classes of structures and their isomorphism types. Possibilities for ranks and degrees for formulas and theories with respect to given properties…

Logic · Mathematics 2021-04-02 Sergey V. Sudoplatov