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We study here several variants of the covariates fine balance problem where we generalize some of these problems and introduce a number of others. We present here a comprehensive complexity study of the covariates problems providing…

Data Structures and Algorithms · Computer Science 2020-09-18 Dorit S. Hochbaum , Asaf Levin , Xu Rao

In this work we discuss the problem of selecting suitable approximators from families of parameterized elementary functions that are known to be dense in a Hilbert space of functions. We consider and analyze published procedures, both…

Numerical Analysis · Computer Science 2016-09-01 Alexander N. Gorban , Ivan Yu. Tyukin , Danil V. Prokhorov , Konstantin I. Sofeikov

Many standard structural quantities, such as order parameters and correlation functions, exist for common condensed matter systems, such as spherical and rod-like particles. However, these structural quantities are often insufficient for…

Soft Condensed Matter · Physics 2012-01-18 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

The graph matching optimization problem is an essential component for many tasks in computer vision, such as bringing two deformable objects in correspondence. Naturally, a wide range of applicable algorithms have been proposed in the last…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Stefan Haller , Lorenz Feineis , Lisa Hutschenreiter , Florian Bernard , Carsten Rother , Dagmar Kainmüller , Paul Swoboda , Bogdan Savchynskyy

The minimum distance is one of the most important combinatorial characterizations of a code. The maximum likelihood decoding problem is one of the most important algorithmic problems of a code. While these problems are known to be hard for…

Information Theory · Computer Science 2016-08-31 Qi Cheng

Despite encouraging recent progresses in ensemble approaches, classification methods seem to have reached a plateau in development. Further advances depend on a better understanding of geometrical and topological characteristics of point…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Tin Kam Ho

This paper aims to compare different regularization strategies to address a common phenomenon, severe overfitting, in embedding-based neural networks for NLP. We chose two widely studied neural models and tasks as our testbed. We tried…

Computation and Language · Computer Science 2015-08-18 Hao Peng , Lili Mou , Ge Li , Yunchuan Chen , Yangyang Lu , Zhi Jin

Parameter identification problems are formulated in a probabilistic language, where the randomness reflects the uncertainty about the knowledge of the true values. This setting allows conceptually easily to incorporate new information, e.g.…

Numerical Analysis · Computer Science 2013-03-19 Bojana V. Rosić , Anna Kučerová , Jan Sýkora , Oliver Pajonk , Alexander Litvinenko , Hermann G. Matthies

Polarization is a major concern for a well-functioning society. Often, mass polarization of a society is driven by polarizing political representation, even when the latter is easily preventable. The existing computational social choice…

Computer Science and Game Theory · Computer Science 2025-09-03 Chris Dong , Martin Bullinger , Tomasz Wąs , Larry Birnbaum , Edith Elkind

The key to reconciling the polynomial-time intractability of many machine learning tasks in the worst case with the surprising solvability of these tasks by heuristic algorithms in practice seems to be exploiting restrictions on real-world…

Machine Learning · Computer Science 2022-05-11 Todd Wareham

Probabilistic programming is a growing area that strives to make statistical analysis more accessible, by separating probabilistic modelling from probabilistic inference. In practice this decoupling is difficult. No single inference…

Programming Languages · Computer Science 2022-04-15 Maria I. Gorinova

Machine learning develops rapidly, which has made many theoretical breakthroughs and is widely applied in various fields. Optimization, as an important part of machine learning, has attracted much attention of researchers. With the…

Machine Learning · Computer Science 2019-10-24 Shiliang Sun , Zehui Cao , Han Zhu , Jing Zhao

We determine the power of the weighted sum scalarization with respect to the computation of approximations for general multiobjective minimization and maximization problems. Additionally, we introduce a new multi-factor notion of…

Data Structures and Algorithms · Computer Science 2021-12-15 Cristina Bazgan , Stefan Ruzika , Clemens Thielen , Daniel Vanderpooten

We introduce a proximal version of dual coordinate ascent method. We demonstrate how the derived algorithmic framework can be used for numerous regularized loss minimization problems, including $\ell_1$ regularization and structured output…

Machine Learning · Statistics 2012-11-13 Shai Shalev-Shwartz , Tong Zhang

We consider several combinatorial optimization problems which combine the classic shop scheduling problems, namely open shop scheduling or job shop scheduling, and the shortest path problem. The objective of the obtained problem is to…

Data Structures and Algorithms · Computer Science 2013-09-03 Kameng Nip , Zhenbo Wang , Wenxun Xing

We argue that parameterized complexity is a useful tool with which to study global constraints. In particular, we show that many global constraints which are intractable to propagate completely have natural parameters which make them…

Artificial Intelligence · Computer Science 2009-03-04 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

Metaheuristic algorithms are becoming an important part of modern optimization. A wide range of metaheuristic algorithms have emerged over the last two decades, and many metaheuristics such as particle swarm optimization are becoming…

Optimization and Control · Mathematics 2012-12-04 Xin-She Yang

We develop a new framework for generalizing approximation algorithms from the structural graph algorithm literature so that they apply to graphs somewhat close to that class (a scenario we expect is common when working with real-world…

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

Data Structures and Algorithms · Computer Science 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

The problem of parameterization is often central to the effective deployment of nature-inspired algorithms. However, finding the optimal set of parameter values for a combination of problem instance and solution method is highly…

Neural and Evolutionary Computing · Computer Science 2014-06-26 Matthew Crossley , Andy Nisbet , Martyn Amos