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We consider the problem of efficiently solving large-scale linear least squares problems that have one or more linear constraints that must be satisfied exactly. Whilst some classical approaches are theoretically well founded, they can face…

Numerical Analysis · Mathematics 2021-12-24 Jennifer Scott , Miroslav Tuma

With the surge of multi- and manycores, much research has focused on algorithms for mapping and scheduling on these complex platforms. Large classes of these algorithms face scalability problems. This is why diverse methods are commonly…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-27 Andrés Goens , Sergio Siccha , Jeronimo Castrillon

Learning-based planners leveraging Graph Neural Networks can learn search guidance applicable to large search spaces, yet their potential to address symmetries remains largely unexplored. In this paper, we introduce a graph representation…

Artificial Intelligence · Computer Science 2025-04-29 Yingbin Bai , Sylvie Thiebaux , Felipe Trevizan

A linear program with linear complementarity constraints (LPCC) requires the minimization of a linear objective over a set of linear constraints together with additional linear complementarity constraints. This class has emerged as a…

Optimization and Control · Mathematics 2018-02-09 Bin Yu , John E. Mitchell , Jong-Shi Pang

Support for arithmetic in multiple precisions and number formats is becoming increasingly common in emerging high-performance architectures. From a computational scientist's perspective, our goal is to determine how and where we can safely…

Numerical Analysis · Mathematics 2026-02-05 Erin Claire Carson

The set of answers to a query may be very large, potentially overwhelming users when presented with the entire set. In such cases, presenting only a small subset of the answers to the user may be preferable. A natural requirement for this…

Databases · Computer Science 2024-08-06 Marcelo Arenas , Timo Camillo Merkl , Reinhard Pichler , Cristian Riveros

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization and cardinality regularized optimization as special cases. This paper proposes…

Optimization and Control · Mathematics 2016-12-08 Ganzhao Yuan , Wei-Shi Zheng , Bernard Ghanem

Many computer programs have graphical user interfaces (GUIs), which need good layout to make efficient use of the available screen real estate. Most GUIs do not have a fixed layout, but are resizable and able to adapt themselves.…

Human-Computer Interaction · Computer Science 2014-01-09 Noreen Jamil , Johannes Müller , Christof Lutteroth , Gerald Weber

We present the marginal unbiased score expansion (MUSE) method, an algorithm for generic high-dimensional hierarchical Bayesian inference. MUSE performs approximate marginalization over arbitrary non-Gaussian latent parameter spaces,…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-01 Marius Millea , Uros Seljak

Constraint Programming (CP) solvers typically tackle optimization problems by repeatedly finding solutions to a problem while placing tighter and tighter bounds on the solution cost. This approach is somewhat naive, especially for…

Logic in Computer Science · Computer Science 2013-05-09 Nicholas Downing , Thibaut Feydy , Peter J. Stuckey

An important approach for efficient inference in probabilistic graphical models exploits symmetries among objects in the domain. Symmetric variables (states) are collapsed into meta-variables (meta-states) and inference algorithms are run…

Artificial Intelligence · Computer Science 2016-07-01 Ankit Anand , Aditya Grover , Mausam , Parag Singla

Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application of nonlinear optimal control algorithms. To that end,…

Optimization and Control · Mathematics 2023-04-10 Prithvi Akella , Aaron D. Ames

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy this…

Computational Complexity · Computer Science 2012-11-06 Pascal Koiran , Anastasios Zouzias

Recent results have shown that the MCTS algorithm (a new, adaptive, randomized optimization algorithm) is effective in a remarkably diverse set of applications in Artificial Intelligence, Operations Research, and High Energy Physics. MCTS…

Artificial Intelligence · Computer Science 2015-09-29 S. Ali Mirsoleimani , Aske Plaat , Jaap van den Herik

Subgroup-discovery methods allow users to obtain simple descriptions of interesting regions in a dataset. Using constraints in subgroup discovery can enhance interpretability even further. In this article, we focus on two types of…

Machine Learning · Computer Science 2025-06-23 Jakob Bach

Performance of clustering algorithms is evaluated with the help of accuracy metrics. There is a great diversity of clustering algorithms, which are key components of many data analysis and exploration systems. However, there exist only few…

Data Structures and Algorithms · Computer Science 2019-02-18 Artem Lutov , Mourad Khayati , Philippe Cudré-Mauroux

We introduce and study the random "locked" constraint satisfaction problems. When increasing the density of constraints, they display a broad "clustered" phase in which the space of solutions is divided into many isolated points. While the…

Statistical Mechanics · Physics 2008-09-05 Lenka Zdeborová , Marc Mézard

The design of neural network architectures is frequently either based on human expertise using trial/error and empirical feedback or tackled via large scale reinforcement learning strategies performed over distinct discrete architecture…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Yunyang Xiong , Ronak Mehta , Vikas Singh

In their nature configuration problems are combinatorial (optimization) problems. In order to find a configuration a solver has to instantiate a number of components of a some type and each of these components can be used in a relation…

Artificial Intelligence · Computer Science 2012-12-13 Anna Ryabokon

Designing a search heuristic for constraint programming that is reliable across problem domains has been an important research topic in recent years. This paper concentrates on one family of candidates: counting-based search. Such…

Artificial Intelligence · Computer Science 2014-01-21 Gilles Pesant , Claude-Guy Quimper , Alessandro Zanarini
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