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We investigate the minimum cost of a wide class of combinatorial optimization problems over random bipartite geometric graphs in $\mathbb{R}^d$ where the edge cost between two points is given by a $p$-th power of their Euclidean distance.…

Probability · Mathematics 2023-07-20 Michael Goldman , Dario Trevisan

In this paper, the Minimum Cost Submodular Cover problem is studied, which is to minimize a modular cost function such that the monotone submodular benefit function is above a threshold. For this problem, an evolutionary algorithm EASC is…

Data Structures and Algorithms · Computer Science 2019-08-06 Victoria G. Crawford

Composite likelihood provides approximate inference when the full likelihood is intractable and sub-likelihood functions of marginal events can be evaluated relatively easily. It has been successfully applied for many complex models.…

Methodology · Statistics 2024-09-05 Wentao Li , Rosabeth White , Dennis Prangle

The Estimation of Distribution Algorithm is a new class of population based search methods in that a probabilistic model of individuals is estimated based on the high quality individuals and used to generate the new individuals. In this…

Artificial Intelligence · Computer Science 2019-04-03 R. Rastegar , M. R. Meybodi

We wish to minimize the resources used for network coding while achieving the desired throughput in a multicast scenario. We employ evolutionary approaches, based on a genetic algorithm, that avoid the computational complexity that makes…

Networking and Internet Architecture · Computer Science 2016-11-15 Minkyu Kim , Muriel Medard , Varun Aggarwal , Una-May O'Reilly , Wonsik Kim , Chang Wook Ahn , Michelle Effros

Crowdsourcing systems, in which numerous tasks are electronically distributed to numerous "information piece-workers", have emerged as an effective paradigm for human-powered solving of large scale problems in domains such as image…

Machine Learning · Computer Science 2013-03-27 David R. Karger , Sewoong Oh , Devavrat Shah

Motivated by the need for, and growing interest in, modeling uncertainty in data, we introduce and study {\em stochastic minimum-norm optimization}. We have an underlying combinatorial optimization problem where the costs involved are {\em…

Data Structures and Algorithms · Computer Science 2020-11-04 Sharat Ibrahimpur , Chaitanya Swamy

We study reinforcement learning in infinite-horizon average-reward settings with linear MDPs. Previous work addresses this problem by approximating the average-reward setting by discounted setting and employing a value iteration-based…

Machine Learning · Computer Science 2025-04-17 Kihyuk Hong , Ambuj Tewari

This paper studies the design of cluster experiments to estimate the global treatment effect in the presence of network spillovers. We provide a framework to choose the clustering that minimizes the worst-case mean-squared error of the…

Econometrics · Economics 2025-01-29 Davide Viviano , Lihua Lei , Guido Imbens , Brian Karrer , Okke Schrijvers , Liang Shi

The average cost optimality is known to be a challenging problem for partially observable stochastic control, with few results available beyond the finite state, action, and measurement setup, for which somewhat restrictive conditions are…

Optimization and Control · Mathematics 2024-08-01 Yunus Emre Demirci , Ali Devran Kara , Serdar Yüksel

We present a quantum algorithm for combinatorial optimization using the cost structure of the search states. Its behavior is illustrated for overconstrained satisfiability and asymmetric traveling salesman problems. Simulations with…

Quantum Physics · Physics 2007-05-23 Tad Hogg , Dmitriy Portnov

The minimum distance of a code is an important concept in information theory. Hence, computing the minimum distance of a code with a minimum computational cost is a crucial process to many problems in this area. In this paper, we present…

Information Theory · Computer Science 2024-05-01 Fernando Hernando , Francisco D. Igual , Gregorio Quintana-Ortí

To witness quantum advantages in practical settings, substantial efforts are required not only at the hardware level but also on theoretical research to reduce the computational cost of a given protocol. Quantum computation has the…

Quantum Physics · Physics 2021-09-24 Daniel K. Park , Carsten Blank , Francesco Petruccione

We study problems with stochastic uncertainty information on intervals for which the precise value can be queried by paying a cost. The goal is to devise an adaptive decision tree to find a correct solution to the problem in consideration…

Data Structures and Algorithms · Computer Science 2021-09-27 Steven Chaplick , Magnús M. Halldórsson , Murilo S. de Lima , Tigran Tonoyan

We consider the weakly supervised binary classification problem where the labels are randomly flipped with probability $1- {\alpha}$. Although there exist numerous algorithms for this problem, it remains theoretically unexplored how the…

Machine Learning · Computer Science 2019-07-16 Xinyang Yi , Zhaoran Wang , Zhuoran Yang , Constantine Caramanis , Han Liu

Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted…

Optimization and Control · Mathematics 2019-05-13 Andrew M. Stuart , Marie-Therese Wolfram

Makespan minimization on identical parallel machines is a classical scheduling problem. We consider the online scenario where a sequence of $n$ jobs has to be scheduled non-preemptively on $m$ machines so as to minimize the maximum…

Data Structures and Algorithms · Computer Science 2012-03-09 Susanne Albers , Matthias Hellwig

We discuss a novel genetic algorithm that can be used to find global minima on the potential energy surface of disordered ceramics and alloys using a real-space symmetry adapted crossover. Due to a high number of symmetrically equivalent…

Materials Science · Physics 2011-05-31 Chris E. Mohn , Svein Stølen , Walter Kob

The search for global minima is a critical challenge across multiple fields including engineering, finance, and artificial intelligence, particularly with non-convex functions that feature multiple local optima, complicating optimization…

Quantum Physics · Physics 2025-03-13 Mohammadreza Soltaninia , Junpeng Zhan

In this paper, a sequential search method for finding the global minimum of an objective function is presented, The descent gradient search is repeated until the global minimum is obtained. The global minimum is located by a process of…

Optimization and Control · Mathematics 2024-02-06 Mohamed Tifroute , Anouar Lahmdani , Hassane Bouzahir
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