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We propose a new algorithm to the problem of polygonal curve approximation based on a multiresolution approach. This algorithm is suboptimal but still maintains some optimality between successive levels of resolution using dynamic…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-François Marteau , Gilbas Ménier

Topic modeling is a very powerful technique in data analysis and data mining but it is generally slow. Many parallelization approaches have been proposed to speed up the learning process. However, they are usually not very efficient because…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-24 Hung Nghiep Tran , Atsuhiro Takasu

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 study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale…

Numerical Analysis · Mathematics 2021-06-02 Yalchin Efendiev , Sai-Mang Pun , Petr N. Vabishchevich

Parallel algorithms designed for simulation and performance evaluation of single-server tandem queueing systems with both infinite and finite buffers are presented. The algorithms exploit a simple computational procedure based on recursive…

Numerical Analysis · Mathematics 2012-11-30 Sergei M. Ermakov , Nikolai K. Krivulin

Optimization methods are at the core of many problems in signal/image processing, computer vision, and machine learning. For a long time, it has been recognized that looking at the dual of an optimization problem may drastically simplify…

Numerical Analysis · Computer Science 2014-12-04 Nikos Komodakis , Jean-Christophe Pesquet

This paper proposes an algorithm for computing regularized solutions to linear rational expectations models. The algorithm allows for regularization cross-sectionally as well as across frequencies. A variety of numerical examples illustrate…

Econometrics · Economics 2020-10-28 Majid M. Al-Sadoon

In the present paper we are concerned with a numerical algorithm for the approximation of the two-dimensional neural field equation with delay. We consider three numerical examples that have been analysed before by other authors and are…

Numerical Analysis · Mathematics 2015-11-04 Pedro M. Lima , Evelyn Buckwar

Large-scale simulation optimization (SO) problems encompass both large-scale ranking-and-selection problems and high-dimensional discrete or continuous SO problems, presenting significant challenges to existing SO theories and algorithms.…

Optimization and Control · Mathematics 2024-03-26 Weiwei Fan , L. Jeff Hong , Guangxin Jiang , Jun Luo

In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

Systems and Control · Computer Science 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

The main purpose of this paper is to study the NP-complete subset-sum problem, not in the usual context of time-complexity-based classification of the algorithms (exponential/polynomial), but through a new kind of algorithmic classification…

Computational Complexity · Computer Science 2018-11-20 Antonios Syreloglou

Recently double-bracket quantum algorithms have been proposed as a way to compile circuits for approximating eigenstates. Physically, they consist of appropriately composing evolutions under an input Hamiltonian together with diagonal…

In this paper, we study probabilistic numerical methods based on optimal quantization algorithms for computing the solution to optimal multiple switching problems with regime-dependent state process. We first consider a discrete-time…

Probability · Mathematics 2012-02-14 Paul Gassiat , Idris Kharroubi , Huyên Pham

This paper proposes a general formulation for temporal parallelisation of dynamic programming for optimal control problems. We derive the elements and associative operators to be able to use parallel scans to solve these problems with…

Optimization and Control · Mathematics 2022-01-25 Simo Särkkä , Ángel F. García-Fernández

As a partial answer to a question of Rao, a deterministic and customizable efficient algorithm is presented to test whether an arbitrary graphical degree sequence has a bipartite realization. The algorithm can be configured to run in…

Combinatorics · Mathematics 2019-08-20 Kai Wang

Practical optimization problems may contain different kinds of difficulties that are often not tractable if one relies on a particular optimization method. Different optimization approaches offer different strengths that are good at…

Neural and Evolutionary Computing · Computer Science 2024-07-08 Ankur Sinha , Dhaval Pujara , Hemant Kumar Singh

We present two algorithms for computing what we call the absolute factorization of a difference operator. We also give an algorithm to solve third order difference equations in terms of second order equations, together with applications to…

Commutative Algebra · Mathematics 2024-06-12 Heba Bou KaedBey , Mark van Hoeij , Man Cheung Tsui

In this paper, we introduce two parallel extragradient-proximal methods for solving split equilibrium problems. The algorithms combine the extragradient method, the proximal method and the hybrid (outer approximation) method. The weak and…

Optimization and Control · Mathematics 2015-11-10 Dang Van Hieu

In this paper, we address a class of specially structured problems that include speed planning, for mobile robots and robotic manipulators, and dynamic programming. We develop two new numerical procedures, that apply to the general case and…

Optimization and Control · Mathematics 2019-10-21 Luca Consolini , Mattia Laurini , Marco Locatelli

The performance of anytime algorithms can be improved by simultaneously solving several instances of algorithm-problem pairs. These pairs may include different instances of a problem (such as starting from a different initial state),…

Artificial Intelligence · Computer Science 2011-06-28 L. Finkelstein , S. Markovitch , E. Rivlin