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Given a max-plus linear system and a semimodule, the problem of computing the maximal controlled invariant subsemimodule is still open to this day. In this paper, we consider this problem for the specific class of fully actuated systems and…

Optimization and Control · Mathematics 2026-02-10 Davide Zorzenon , Jörg Raisch

Constraint propagation algorithms implement logical inference. For efficiency, it is essential to control whether and in what order basic inference steps are taken. We provide a high-level framework that clearly differentiates between…

Programming Languages · Computer Science 2007-05-23 Sebastian Brand , Roland H. C. Yap

This paper proposes two nonlinear dynamics to solve constrained distributed optimization problem for resource allocation over a multi-agent network. In this setup, coupling constraint refers to resource-demand balance which is preserved at…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Mohammadreza Doostmohammadian , Alireza Aghasi , Maria Vrakopoulou , Hamid R. Rabiee , Usman A. Khan , Themistoklis Charalambou

This work focuses on a class of general decentralized constraint-coupled optimization problems. We propose a novel nested primal-dual gradient algorithm (NPGA), which can achieve linear convergence under the weakest known condition, and its…

Optimization and Control · Mathematics 2025-05-06 Jingwang Li , Housheng Su

Deep learning models have gained great success in many real-world applications. However, most existing networks are typically designed in heuristic manners, thus lack of rigorous mathematical principles and derivations. Several recent…

Computer Vision and Pattern Recognition · Computer Science 2017-12-18 Risheng Liu , Xin Fan , Shichao Cheng , Xiangyu Wang , Zhongxuan Luo

A new method is proposed in this paper to learn overcomplete dictionary from training data samples. Differing from the current methods that enforce similar sparsity constraint on each of the input samples, the proposed method attempts to…

Data Structures and Algorithms · Computer Science 2013-05-14 Deyu Meng , Yee Leung , Qian Zhao , Zongben Xu

Despite the fact that different objects possess distinct class-specific features, they also usually share common patterns. Inspired by this observation, we propose a novel method to explicitly and simultaneously learn a set of common…

Computer Vision and Pattern Recognition · Computer Science 2016-05-19 Tiep H. Vu , Vishal Monga

Diffusion models hold great potential in robotics due to their ability to capture complex, high-dimensional data distributions. However, their lack of constraint-awareness limits their deployment in safety-critical applications. We propose…

Robotics · Computer Science 2025-05-20 Hao Ma , Sabrina Bodmer , Andrea Carron , Melanie Zeilinger , Michael Muehlebach

Imposing constraints on the output of a Deep Neural Net is one way to improve the quality of its predictions while loosening the requirements for labeled training data. Such constraints are usually imposed as soft constraints by adding new…

Computer Vision and Pattern Recognition · Computer Science 2017-06-08 Pablo Márquez-Neila , Mathieu Salzmann , Pascal Fua

We exploit analogies between first-order algorithms for constrained optimization and non-smooth dynamical systems to design a new class of accelerated first-order algorithms for constrained optimization. Unlike Frank-Wolfe or projected…

Optimization and Control · Mathematics 2025-05-02 Michael Muehlebach , Michael I. Jordan

The min-knapsack problem with compactness constraints extends the classical knapsack problem, in the case of ordered items, by introducing a restriction ensuring that they cannot be too far apart. This problem has applications in…

Optimization and Control · Mathematics 2025-04-28 Hubert Villuendas , Mathieu Besançon , Jérôme Malick

The adaptive gradient online learning method known as AdaGrad has seen widespread use in the machine learning community in stochastic and adversarial online learning problems and more recently in deep learning methods. The method's…

Machine Learning · Computer Science 2016-10-05 Nishant A. Mehta , Alistair Rendell , Anish Varghese , Christfried Webers

The deployment of pre-trained perception models in novel environments often leads to performance degradation due to distributional shifts. Although recent artificial intelligence approaches for metacognition use logical rules to…

Despite remarkable achievements in artificial intelligence, the deployability of learning-enabled systems in high-stakes real-world environments still faces persistent challenges. For example, in safety-critical domains like autonomous…

Artificial Intelligence · Computer Science 2023-12-19 Minjae Cho , Chuangchuang Sun

The near universal condemnation of proxy discrimination hides a disagreement over what it is. This work surveys various notions of proxy and proxy discrimination found in prior work and represents them in a common framework. These notions…

Machine Learning · Computer Science 2022-05-26 Michael Carl Tschantz

We describe soft versions of the global cardinality constraint and the regular constraint, with efficient filtering algorithms maintaining domain consistency. For both constraints, the softening is achieved by augmenting the underlying…

Artificial Intelligence · Computer Science 2007-05-23 Willem Jan van Hoeve , Gilles Pesant , Louis-Martin Rousseau

We introduce the notion of a multidimensional hybrid preference domain on a (finite) set of alternatives that is a Cartesian product of finitely many components. We demonstrate that in a model of public goods provision, multidimensional…

Theoretical Economics · Economics 2023-11-17 Shurojit Chatterji , Huaxia Zeng

This paper presents a first-order distributed algorithm for solving a convex semi-infinite program (SIP) over a time-varying network. In this setting, the objective function associated with the optimization problem is a summation of a set…

Optimization and Control · Mathematics 2025-05-23 Ashwin Aravind , Debasish Chatterjee , Ashish Cherukuri

This paper illustrates the richness of the concept of regular sets of time bounds and demonstrates its application to problems of computational complexity. There is a universe of bounds whose regular subsets allow to represent several time…

Computational Complexity · Computer Science 2013-09-24 Armin Hemmerling

We present ConDiff, a novel dataset for scientific machine learning. ConDiff focuses on the parametric diffusion equation with space dependent coefficients, a fundamental problem in many applications of partial differential equations…

Machine Learning · Computer Science 2025-02-04 Vladislav Trifonov , Alexander Rudikov , Oleg Iliev , Yuri M. Laevsky , Ivan Oseledets , Ekaterina Muravleva