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Decision trees with binary splits are popularly constructed using Classification and Regression Trees (CART) methodology. For binary classification and regression models, this approach recursively divides the data into two near-homogenous…

机器学习 · 统计学 2020-08-17 Jason M. Klusowski

This paper proposes a new numerical optimization algorithm inspired by the strawberry plant for solving complicated engineering problems. Plants like strawberry develop both runners and roots for propagation and search for water resources…

神经与进化计算 · 计算机科学 2014-07-29 F. Merrikh-Bayat

Monte-Carlo Tree Search (MCTS) methods, such as Upper Confidence Bound applied to Trees (UCT), are instrumental to automated planning techniques. However, UCT can be slow to explore an optimal action when it initially appears inferior to…

人工智能 · 计算机科学 2024-04-12 Michael Painter , Mohamed Baioumy , Nick Hawes , Bruno Lacerda

Imagine we want to split a group of agents into teams in the most \emph{efficient} way, considering that each agent has their own preferences about their teammates. This scenario is modeled by the extensively studied \textsc{Coalition…

数据结构与算法 · 计算机科学 2025-05-29 Foivos Fioravantes , Harmender Gahlawat , Nikolaos Melissinos

We study the assortment optimization problem under general linear constraints, where the customer choice behavior is captured by the Cross-Nested Logit model. In this problem, there is a set of products organized into multiple subsets (or…

最优化与控制 · 数学 2023-04-19 Cuong Le , Tien Mai

An effective technique for solving optimization problems over massive data sets is to partition the data into smaller pieces, solve the problem on each piece and compute a representative solution from it, and finally obtain a solution…

数据结构与算法 · 计算机科学 2015-06-23 Vahab Mirrokni , Morteza Zadimoghaddam

Modern ecology has re-emphasized the need for a quantitative understanding of the original 'survival of the fittest theme' based on analyzis of the intricate trade-offs between competing evolutionary strategies that characterize the…

种群与进化 · 定量生物学 2015-06-16 Jacopo Grilli , Samir Suweis , Amos Maritan

When there is conspicuous under-exploitation of a limited resource, it is worth asking what mechanisms allow presumably valuable resources to be left unused? Evolutionary biologists have generated a wide range of hypotheses to explain this,…

种群与进化 · 定量生物学 2015-03-23 Kathryn J. Montovan , Christelle Couchoux , Laura E. Jones , H. Kern Reeve , Saskya van Nouhuys

Recent papers have shown optimally-competitive on-line strategies for a robot traveling from a point $s$ to a point $t$ in certain unknown geometric environments. We consider the question: Having gained some partial information about the…

组合数学 · 数学 2016-09-06 Avrim Blum , Prasad Chalasani

We consider the classical problem of sequential resource allocation where a decision maker must repeatedly divide a budget between several resources, each with diminishing returns. This can be recast as a specific stochastic optimization…

机器学习 · 统计学 2020-01-17 Xavier Fontaine , Shie Mannor , Vianney Perchet

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

最优化与控制 · 数学 2013-10-03 Victor Picheny

Satisfiability Modulo Theories (SMT) solvers are integral to program analysis techniques like concolic and symbolic execution, where they help assess the satisfiability of logical formulae to explore execution paths of the program under…

软件工程 · 计算机科学 2025-04-11 Rustam Sadykov , Azat Abdullin , Marat Akhin

We study the kinetics for the search of an immobile target by randomly moving searchers that detect it only upon encounter. The searchers perform intermittent random walks on a one-dimensional lattice. Each searcher can step on a nearest…

统计力学 · 物理学 2015-05-14 Gleb Oshanin , Katja Lindenberg , Horacio S Wio , Sergei Burlatsky

Pure exploration in multi-armed bandits has emerged as an important framework for modeling decision-making and search under uncertainty. In modern applications, however, one is often faced with a tremendously large number of options. Even…

机器学习 · 计算机科学 2022-11-22 Parth K. Thaker , Mohit Malu , Nikhil Rao , Gautam Dasarathy

The Moran process is a classic stochastic process that models invasion dynamics on graphs. A single "mutant" (e.g., a new opinion, strain, social trait etc.) invades a population of residents spread over the nodes of a graph. The mutant…

数据结构与算法 · 计算机科学 2022-04-26 Joachim Brendborg , Panagiotis Karras , Andreas Pavlogiannis , Asger Ullersted Rasmussen , Josef Tkadlec

Decision-making problems can be modeled as combinatorial optimization problems with Constraint Programming formalisms such as Constrained Optimization Problems. However, few Constraint Programming formalisms can deal with both optimization…

人工智能 · 计算机科学 2022-05-24 Valentin Antuori , Florian Richoux

We focus on a dense cellular network, in which a limited-size cache is available at every Base Station (BS). In order to optimize the overall performance of the system in such scenario, where a significant fraction of the users is covered…

网络与互联网体系结构 · 计算机科学 2018-06-15 Emilio Leonardi , Giovanni Neglia

A significantly under-explored area of evolutionary optimization in the literature is the study of optimization methodologies that can evolve along with the problems solved. Particularly, present evolutionary optimization approaches…

神经与进化计算 · 计算机科学 2012-07-04 Liang Feng , Yew Soon Ong , Ah Hwee Tan , Ivor Wai-Hung Tsang

We consider assortment optimization over a continuous spectrum of products represented by the unit interval, where the seller's problem consists of determining the optimal subset of products to offer to potential customers. To describe the…

机器学习 · 统计学 2021-04-15 Yannik Peeters , Arnoud V. den Boer , Michel Mandjes

We study stochastic combinatorial optimization problems where the objective is to minimize the expected maximum load (a.k.a.\ the makespan). In this framework, we have a set of $n$ tasks and $m$ resources, where each task $j$ uses some…

数据结构与算法 · 计算机科学 2021-06-25 Anupam Gupta , Amit Kumar , Viswanath Nagarajan , Xiangkun Shen