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We use convex relaxation techniques to produce lower bounds on the optimal value of subset selection problems and generate good approximate solutions. We then explicitly bound the quality of these relaxations by studying the approximation…

Optimization and Control · Mathematics 2010-06-21 Francis Bach , Selin Damla Ahipasaoglu , Alexandre d'Aspremont

Constrained optimization problems appear in a wide variety of challenging real-world problems, where constraints often capture the physics of the underlying system. Classic methods for solving these problems rely on iterative algorithms…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Meiyi Li , Soheil Kolouri , Javad Mohammadi

Modern learning classifier systems typically exploit a niched genetic algorithm to facilitate rule discovery. When used for reinforcement learning, such rules represent generalisations over the state-action-reward space. Whilst encouraging…

Neural and Evolutionary Computing · Computer Science 2014-01-14 Larry Bull

In this paper, the distributed strongly convex optimization problem is studied with spatio-temporal compressed communication and equality constraints. For the case where each agent holds an distributed local equality constraint, a…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Zihao Ren , Lei Wang , Zhengguang Wu , Guodong Shi

Particle swarm optimisation is a metaheuristic algorithm which finds reasonable solutions in a wide range of applied problems if suitable parameters are used. We study the properties of the algorithm in the framework of random dynamical…

Neural and Evolutionary Computing · Computer Science 2015-11-20 J. Michael Herrmann , Adam Erskine , Thomas Joyce

This paper attempts to derive a mathematical formulation for real-practice clinical laboratory schedul-ing, and to present a syntactic adaptive problem solver by leveraging landscape structures. After formulating scheduling of medical tests…

Optimization and Control · Mathematics 2023-05-11 Keyao Wang , Bo Liu

Designing controllers for robot swarms is challenging, because human developers have typically no good understanding of the link between the details of a controller that governs individual robots and the swarm behavior that is an indirect…

We study dynamic algorithms robust to adaptive input generated from sources with bounded capabilities, such as sparsity or limited interaction. For example, we consider robust linear algebraic algorithms when the updates to the input are…

Data Structures and Algorithms · Computer Science 2023-04-18 Yeshwanth Cherapanamjeri , Sandeep Silwal , David P. Woodruff , Fred Zhang , Qiuyi Zhang , Samson Zhou

The article presents a study of the Particle Swarm optimization method for scheduling problem. To improve the method's performance a restriction of particles' velocity and an evolutionary meta-optimization were realized. The approach…

Neural and Evolutionary Computing · Computer Science 2020-06-22 Pavel Matrenin , Viktor Sekaev

In this paper, we deal with the equilibrium selection problem, which amounts to steering a population of individuals engaged in strategic game-theoretic interactions to a desired collective behavior. In the literature, this problem has been…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Lorenzo Zino , Mengbin Ye , Giuseppe Carlo Calafiore , Alessandro Rizzo

Solving constrained optimization problems by multi-objective evolutionary algorithms has scored tremendous achievements in the last decade. Standard multi-objective schemes usually aim at minimizing the objective function and also the…

Neural and Evolutionary Computing · Computer Science 2015-10-02 Tao Xu , Jun He

Constrained submodular maximization has been extensively studied in the recent years. In this paper, we study adaptive robust optimization with nearly submodular structure (ARONSS). Our objective is to randomly select a subset of items that…

Machine Learning · Computer Science 2019-07-30 Shaojie Tang , Jing Yuan

Learning to optimize has emerged as a powerful framework for various optimization and machine learning tasks. Current such "meta-optimizers" often learn in the space of continuous optimization algorithms that are point-based and…

Machine Learning · Computer Science 2019-11-19 Yue Cao , Tianlong Chen , Zhangyang Wang , Yang Shen

It is common practice in molecular dynamics and Monte Carlo computer simulations to run multiple, separately-initialized simulations in order to improve the sampling of independent microstates. Here we examine the utility of an extreme case…

Network adaptation is essential for the efficient operation of Cloud-RANs. Unfortunately, it leads to highly intractable mixed-integer nonlinear programming problems. Existing solutions typically rely on convex relaxation, which yield…

Signal Processing · Electrical Eng. & Systems 2018-09-18 Yifei Shen , Yuanming Shi , Jun Zhang , Khaled B. Letaief

We describe an effective landscape introduced in [1] for the analysis of Constraint Satisfaction problems, such as Sphere Packing, K-SAT and Graph Coloring. This geometric construction reexpresses these problems in the more familiar terms…

Quantum Physics · Physics 2008-09-25 Florent Krzakala , Jorge Kurchan

We consider the problem of adaptation to the margin and to complexity in binary classification. We suggest an exponential weighting aggregation scheme. We use this aggregation procedure to construct classifiers which adapt automatically to…

Statistics Theory · Mathematics 2009-09-29 Guillaume Lecué

There are many well-studied swarming algorithms which are often suited to very specific purposes. As mobile sensor networks become increasingly complex, and are comprised of more and more agents, it makes sense to consider swarming…

Multiagent Systems · Computer Science 2012-09-25 Steven Senger

In this paper we consider non-smooth convex optimization problems with (possibly) infinite intersection of constraints. In contrast to the classical approach, where the constraints are usually represented as intersection of simple sets,…

Optimization and Control · Mathematics 2024-01-11 Angelia Nedich , Ion Necoara

Existing approaches to algorithmic fairness aim to ensure equitable outcomes if human decision-makers comply perfectly with algorithmic decisions. However, perfect compliance with the algorithm is rarely a reality or even a desirable…

Machine Learning · Computer Science 2025-07-01 Haosen Ge , Hamsa Bastani , Osbert Bastani