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Solving semidefinite programs (SDP) in a short time is the key to managing various mathematical optimization problems. The matrix-completion primal-dual interior-point method (MC-PDIPM) extracts a sparse structure of input SDP by…

Optimization and Control · Mathematics 2014-05-27 Makoto Yamashita , Kazuhide Nakata

Learning expressive probabilistic models correctly describing the data is a ubiquitous problem in machine learning. A popular approach for solving it is mapping the observations into a representation space with a simple joint distribution,…

Machine Learning · Statistics 2020-10-28 Luigi Gresele , Giancarlo Fissore , Adrián Javaloy , Bernhard Schölkopf , Aapo Hyvärinen

We study the problem of sequential task assignment and collision-free routing for large teams of robots in applications with inter-task precedence constraints (e.g., task $A$ and task $B$ must both be completed before task $C$ may begin).…

Robotics · Computer Science 2020-06-17 Kyle Brown , Oriana Peltzer , Martin A. Sehr , Mac Schwager , Mykel J. Kochenderfer

The aim of the paper is to introduce general techniques in order to optimize the parallel execution time of sorting on a distributed architectures with processors of various speeds. Such an application requires a partitioning step. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Christophe Cérin , Jean-Christophe Dubacq , Jean-Louis Roch , the SafeScale Collaboration

We provide a unifying approximate dynamic programming framework that applies to a broad variety of problems involving sequential estimation. We consider first the construction of surrogate cost functions for the purposes of optimization,…

Artificial Intelligence · Computer Science 2023-01-02 Dimitri Bertsekas

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-10 Pragati Agrawal , Shrisha Rao

In this paper, a class of optimization problems with nonlinear inequality constraints is discussed. Based on the ideas of sequential quadratic programming algorithm and the method of strongly sub-feasible directions, a new superlinearly…

Optimization and Control · Mathematics 2012-06-28 Jin-Bao Jian , Chuan-Hao Guo , Chun-Ming Tang , Yan-Qin Bai

The manpower scheduling problem is a critical research field in the resource management area. Based on the existing studies on scheduling problem solutions, this paper transforms the manpower scheduling problem into a combinational…

Artificial Intelligence · Computer Science 2021-05-12 Lingyu Zhang , Tianyu Liu , Yunhai Wang

A large-scale complex system comprising many, often spatially distributed, dynamical subsystems with partial autonomy and complex interactions are called system of systems. This paper describes an efficient algorithm for model predictive…

Optimization and Control · Mathematics 2019-04-25 Branimir Novoselnik , Vedrana Spudić , Mato Baotić

We study the problem of scheduling jobs on parallel machines minimizing the total completion time, with each job using exactly one resource. First, we derive fundamental properties of the problem and show that the problem is polynomially…

Discrete Mathematics · Computer Science 2018-11-19 T. Janssen , C. Swennenhuis , A. Bitar , T. Bosman , D. Gijswijt , L. van Iersel , S. Dauzére-Pérès , C. Yugma

We describe novel subgradient methods for a broad class of matrix optimization problems involving nuclear norm regularization. Unlike existing approaches, our method executes very cheap iterations by combining low-rank stochastic…

Machine Learning · Computer Science 2012-07-03 Haim Avron , Satyen Kale , Shiva Kasiviswanathan , Vikas Sindhwani

While cyclic scheduling is involved in numerous real-world applications, solving the derived problem is still of exponential complexity. This paper focuses specifically on modelling the manufacturing application as a cyclic job shop problem…

Artificial Intelligence · Computer Science 2019-10-22 M-Tahar Kechadi , Kok Seng Low , G. Goncalves

In this paper, for the first time, there is comprehensively tackling the problem of biomechanical optimization of a sport of situation such as judo. Starting from the optimization of more simple sports, optimization of this kind of complex…

Popular Physics · Physics 2016-04-29 Attilio Sacripanti

The paper presents complexity results and performance guaranties for a family of approximation algorithms for an optimisation problem arising in software testing and manufacturing. The problem is formulated as a partitioning of a set where…

Data Structures and Algorithms · Computer Science 2022-12-13 Yakov Zinder , Bertrand M. T. Lin , Joanna Berlińska

Preconditioning has long been a staple technique in optimization, often applied to reduce the condition number of a matrix and speed up the convergence of algorithms. Although there are many popular preconditioning techniques in practice,…

Optimization and Control · Mathematics 2022-11-08 Zhaonan Qu , Wenzhi Gao , Oliver Hinder , Yinyu Ye , Zhengyuan Zhou

Optimal control problems driven by evolutionary partial differential equations arise in many industrial applications and their numerical solution is known to be a challenging problem. One approach to obtain an optimal feedback control is…

Numerical Analysis · Mathematics 2023-05-16 Gerhard Kirsten , Luca Saluzzi

The Job-shop Scheduling Problem (JSP) is a well-known and challenging combinatorial optimization problem in which tasks sharing a machine are to be arranged in a sequence such that encompassing jobs can be completed as early as possible. In…

Artificial Intelligence · Computer Science 2025-08-13 Mohammed M. S. El-Kholany , Martin Gebser , Konstantin Schekotihin

Optimal control synthesis in stochastic systems with respect to quantitative temporal logic constraints can be formulated as linear programming problems. However, centralized synthesis algorithms do not scale to many practical systems. To…

Systems and Control · Computer Science 2015-03-26 Jie Fu , Shuo Han , Ufuk Topcu

Dualization is a key discrete enumeration problem. It is not known whether or not this problem is polynomial-time solvable. Asymptotically optimal dualization algorithms are the fastest among the known dualization algorithms, which is…

Discrete Mathematics · Computer Science 2016-06-01 Elena V. Djukova , Andrey G. Nikiforov , Petr A. Prokofyev

We develop a comprehensive mathematical and computational framework for optimal production planning in economies governed by stochastic regime switches driven by a continuous-time Markov chain. The value functions of the underlying…

Analysis of PDEs · Mathematics 2026-05-19 Dragos-Patru Covei