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The goal of universal machine translation is to learn to translate between any pair of languages, given a corpus of paired translated documents for \emph{a small subset} of all pairs of languages. Despite impressive empirical results and an…

Machine Learning · Computer Science 2020-08-12 Han Zhao , Junjie Hu , Andrej Risteski

Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of polynomial systems. This paper proposes adaptations of these tools focusing on solutions of the real analogue:…

Symbolic Computation · Computer Science 2010-05-17 Changbo Chen , James H. Davenport , John P. May , Marc Moreno Maza , Bican Xia , Rong Xiao

A combinatorial simplex algorithm is an instance of the simplex method in which the pivoting depends on combinatorial data only. We show that any algorithm of this kind admits a tropical analogue which can be used to solve mean payoff…

Combinatorics · Mathematics 2015-07-31 Xavier Allamigeon , Pascal Benchimol , Stéphane Gaubert , Michael Joswig

We consider different online algorithms for a generalized scheduling problem for parallel machines, described in details in the first section. This problem is the generalization of the classical parallel machine scheduling problem, when the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-10 Istvan Szalkai , Gyorgy Dosa

Differentiable conjugacies link dynamical systems that share properties such as the stability multipliers of corresponding orbits. It provides a stronger classification than topological conjugacy, which only requires qualitative similarity.…

Dynamical Systems · Mathematics 2023-03-02 P. A. Glendinning , D. J. W. Simpson

We study which machine learning algorithms have tight generalization bounds. First, we present conditions that preclude the existence of tight generalization bounds. Specifically, we show that algorithms that have certain inductive biases…

Machine Learning · Computer Science 2024-10-04 Michael Gastpar , Ido Nachum , Jonathan Shafer , Thomas Weinberger

We show that weighted path orders are special instances of a variant of semantic path orders. Exploiting this fact, we introduce a generalization of weighted path orders that goes beyond the realm of simple termination. Experimental data…

Logic in Computer Science · Computer Science 2023-07-27 Teppei Saito , Nao Hirokawa

We describe some "unrestricted" algorithms which are useful for the computation of elementary and special functions when the precision required is not known in advance. Several general classes of algorithms are identified and illustrated by…

Numerical Analysis · Mathematics 2010-04-22 Richard P. Brent

Focusing on the bipartite Stable Marriage problem, we investigate different robustness measures related to stable matchings. We analyze the computational complexity of computing them and analyze their behavior in extensive experiments on…

Computer Science and Game Theory · Computer Science 2024-08-20 Kimon Boehmer , Niclas Boehmer

We observe that incorporating a shared layer in a mixture-of-experts can lead to performance degradation. This leads us to hypothesize that learning shared features poses challenges in deep learning, potentially caused by the same feature…

Machine Learning · Computer Science 2024-05-21 Sejik Park

In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.

Number Theory · Mathematics 2010-08-03 Antal Bege , Kinga Fogarasi

Over the last decade, implementations of several desingularization algorithms have appeared in various contexts. These differ as widely in their methods and in their practical efficiency as they differ in the situations in which they may be…

Algebraic Geometry · Mathematics 2011-09-09 Rocio Blanco , Anne Frühbis-Krüger

In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility properties.

Number Theory · Mathematics 2022-10-25 Hasan Al-Zoubi , Ala'a Al-Kateeb

We would like to congratulate the authors of "A Bayesian Conjugate Gradient Method" on their insightful paper, and welcome this publication which we firmly believe will become a fundamental contribution to the growing field of probabilistic…

Computation · Statistics 2019-08-09 Francois-Xavier Briol , Francisco A. Diaz De la O , Peter O. Hristov

The Bulk-Synchronous Parallel model of computation has been used for the architecture independent design and analysis of parallel algorithms whose performance is expressed not only in terms of problem size n but also in terms of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-29 Alexandros V. Gerbessiotis , Constantinos J. Siniolakis

In a balancing network each processor has an initial collection of unit-size jobs (tokens) and in each round, pairs of processors connected by balancers split their load as evenly as possible. An excess token (if any) is placed according to…

Data Structures and Algorithms · Computer Science 2010-06-09 Tobias Friedrich , Thomas Sauerwald , Dan Vilenchik

We shall investigate randomized algorithms for solving large-scale linear inverse problems with general regularizations. We first present some techniques to transform inverse problems of general form into the ones of standard form, then…

Numerical Analysis · Mathematics 2014-12-30 Hua Xiang , Jun Zou

In this paper we consider a scenario where there are several algorithms for solving a given problem. Each algorithm is associated with a probability of success and a cost, and there is also a penalty for failing to solve the problem. The…

Data Structures and Algorithms · Computer Science 2020-08-11 Shlomo Moran , Irad Yavneh

In this paper, we present experimental algorithms for solving the dualization problem. We present the results of extensive experimentation comparing the execution time of various algorithms.

This paper addresses a quadratic problem with assignment constraints, an NP-hard combinatorial optimization problem arisen from facility location, multiple-input multiple-output detection, and maximum mean discrepancy calculation et al. The…

Optimization and Control · Mathematics 2025-12-15 Lijun Xie , Ran Gu , Xin Liu
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