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Complex systems typically have many different parts and facets, with different characteristics. In a multi-paradigm approach to modeling, formalisms with different natures are used in combination to describe complementary parts and aspects…

Logic in Computer Science · Computer Science 2013-08-14 Marcello M. Bersani , Carlo A. Furia , Matteo Pradella , Matteo Rossi

The scheduling problem is a key class of optimization problems and has various kinds of applications both in practical and theoretical scenarios. In the scheduling problem, probabilistic analysis is a basic tool for investigating…

Information Theory · Computer Science 2024-01-30 Daiki Suruga

Image segmentation is an important component of many image understanding systems. It aims to group pixels in a spatially and perceptually coherent manner. Typically, these algorithms have a collection of parameters that control the degree…

Computer Vision and Pattern Recognition · Computer Science 2018-02-02 Marc Bosch , Christopher M. Gifford , Austin G. Dress , Clare W. Lau , Jeffrey G. Skibo , Gordon A. Christie

Compiler correctness is, in its simplest form, defined as the inclusion of the set of traces of the compiled program into the set of traces of the original program, which is equivalent to the preservation of all trace properties. Here…

People solve different problems and know that some of them are simple, some are complex and some insoluble. The main goal of this work is to develop a mathematical theory of algorithmic complexity for problems. This theory is aimed at…

Computational Complexity · Computer Science 2008-07-08 Mark Burgin

We propose a functional view of matrix decomposition problems on graphs such as geometric matrix completion and graph regularized dimensionality reduction. Our unifying framework is based on the key idea that using a reduced basis to…

Machine Learning · Computer Science 2021-02-08 Abhishek Sharma , Maks Ovsjanikov

This paper proposes an adaptive neural-compilation framework to address the problem of efficient program learning. Traditional code optimisation strategies used in compilers are based on applying pre-specified set of transformations that…

Artificial Intelligence · Computer Science 2016-05-27 Rudy Bunel , Alban Desmaison , Pushmeet Kohli , Philip H. S. Torr , M. Pawan Kumar

We synthesize and unify notions of regularity, both of individual sets and of collections of sets, as they appear in the convergence theory of projection methods for consistent feasibility problems. Several new characterizations of…

Optimization and Control · Mathematics 2018-05-15 Alexander Y. Kruger , D. Russell Luke , Nguyen H. Thao

A concept of "evolving categories" is suggested to build a simple, scalable, mathematically consistent framework for representing in uniform way both data and algorithms. A state machine for executing algorithms becomes clear, rich and…

Data Structures and Algorithms · Computer Science 2007-05-23 Evgeny Yanenko

Motivated by notions of quantum heuristics and by average-case rather than worst-case algorithmic analysis, we define quantum computational advantage in terms of individual problem instances. Inspired by the classical notions of Kolmogorov…

Quantum Physics · Physics 2025-10-03 Harry Buhrman , Niklas Galke , Konstantinos Meichanetzidis

Component-based design paradigm is of paramount importance due to prolific growth in the complexity of modern-day systems. Since the components are developed primarily by multi-party vendors and often assembled to realize the overall…

Software Engineering · Computer Science 2022-05-31 Aritra Hazra

The early classifications of the computational complexity of planning under various restrictions in STRIPS (Bylander) and SAS+ (Baeckstroem and Nebel) have influenced following research in planning in many ways. We go back and reanalyse…

Artificial Intelligence · Computer Science 2012-08-14 Christer Baeckstroem , Yue Chen , Peter Jonsson , Sebastian Ordyniak , Stefan Szeider

The task of listing all triangles in an undirected graph is a fundamental graph primitive with numerous applications. It is trivially solvable in time cubic in the number of vertices. It has seen a significant body of work contributing to…

Data Structures and Algorithms · Computer Science 2018-12-24 Matthias Bentert , Till Fluschnik , André Nichterlein , Rolf Niedermeier

We consider the problem where a set of individuals has to classify $m$ objects into $p$ categories by aggregating the individual classifications, and no category can be left empty. An aggregator satisfies \emph{Expertise} if individuals are…

Theoretical Economics · Economics 2025-02-07 Federico Fioravanti

Functions of one or more variables are usually approximated with a basis: a complete, linearly-independent system of functions that spans a suitable function space. The topic of this paper is the numerical approximation of functions using…

Numerical Analysis · Mathematics 2018-11-07 Ben Adcock , Daan Huybrechs

Summarizing content contributed by individuals can be challenging, because people make different lexical choices even when describing the same events. However, there remains a significant need to summarize such content. Examples include the…

Computation and Language · Computer Science 2018-07-26 Wencan Luo , Fei Liu , Zitao Liu , Diane Litman

The evaluation of clustering algorithms can involve running them on a variety of benchmark problems, and comparing their outputs to the reference, ground-truth groupings provided by experts. Unfortunately, many research papers and graduate…

Machine Learning · Computer Science 2023-10-27 Marek Gagolewski

Parameterization and approximation are two popular ways of coping with NP-hard problems. More recently, the two have also been combined to derive many interesting results. We survey developments in the area both from the algorithmic and…

Data Structures and Algorithms · Computer Science 2020-06-09 Andreas Emil Feldmann , Karthik C. S. , Euiwoong Lee , Pasin Manurangsi

In this paper we study the complexity of solving a problem when a solution of a similar instance is known. This problem is relevant whenever instances may change from time to time, and known solutions may not remain valid after the change.…

Computational Complexity · Computer Science 2007-05-23 Paolo Liberatore

Image learning and colorization are hot spots in multimedia domain. Inspired by the learning capability of humans, in this paper, we propose an automatic colorization method with a learning framework. This method can be viewed as a hybrid…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Zhenfeng Xue , Jiandang Yang , Jie Ren , Yong Liu