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Constrained optimization underlies crucial societal problems (for instance, stock trading and bandwidth allocation), but is often computationally hard (complexity grows exponentially with problem size). The big-data era urgently demands…

Emerging Technologies · Computer Science 2025-06-18 Jinzhan Li , Suhas Kumar , Su-in Yi

Rank aggregation aims to combine the preference rankings of a number of alternatives from different voters into a single consensus ranking. As a useful model for a variety of practical applications, however, it is a computationally…

Neural and Evolutionary Computing · Computer Science 2022-01-12 Yangming Zhou , Jin-Kao Hao , Zhen Li , Fred Glover

Many statistical problems involve optimization over a discrete parameter space having an unknown dimension. In such settings, gradient-based methods often fail due to the non-differentiability of the objective function or a non-convex or…

Applications · Statistics 2026-03-19 Mo Li , QiQi Lu , Robert Lund , Xueheng Shi

The A* algorithm is commonly used to solve NP-hard combinatorial optimization problems. When provided with a completely informed heuristic function, A* solves many NP-hard minimum-cost path problems in time polynomial in the branching…

Artificial Intelligence · Computer Science 2022-12-09 Sumedh Pendurkar , Taoan Huang , Sven Koenig , Guni Sharon

Chance constrained program is computationally intractable due to the existence of chance constraints, which are randomly disturbed and should be satisfied with a probability. This paper proposes a two-layer randomized algorithm to address…

Optimization and Control · Mathematics 2019-11-11 Xun Shen , Jiancang Zhuang , Xingguo Zhang

In classification problems, sampling bias between training data and testing data is critical to the ranking performance of classification scores. Such bias can be both unintentionally introduced by data collection and intentionally…

Methodology · Statistics 2017-11-02 Chandler Zuo

Quantization can be used to form new vectors/matrices with shared values close to the original. In recent years, the popularity of scalar quantization for value-sharing applications has been soaring as it has been found huge utilities in…

Machine Learning · Computer Science 2019-12-11 Chen Wang , Xiaomei Yang , Shaomin Fei , Kai Zhou , Xiaofeng Gong , Miao Du , Ruisen Luo

Genetic algorithms are modeled after the biological evolutionary processes that use natural selection to select the best species to survive. They are heuristics based and low cost to compute. Genetic algorithms use selection, crossover, and…

Neural and Evolutionary Computing · Computer Science 2020-05-28 Mee Seong Im , Venkat R. Dasari

In certain real-world optimization scenarios, practitioners are not interested in solving multiple problems but rather in finding the best solution to a single, specific problem. When the computational budget is large relative to the cost…

Machine Learning · Computer Science 2026-02-10 Judith Echevarrieta , Etor Arza , Aritz Pérez , Josu Ceberio

Solving a decision theory problem usually involves finding the actions, among a set of possible ones, which optimize the expected reward, possibly accounting for the uncertainty of the environment. In this paper, we introduce the…

Artificial Intelligence · Computer Science 2025-02-19 Damiano Azzolini , Elena Bellodi , Rafael Kiesel , Fabrizio Riguzzi

Many real-world optimisation problems involve multiple objectives. When considered concurrently, they give rise to a set of optimal trade-off solutions, also known as efficient solutions. These solutions have the property that neither…

Optimization and Control · Mathematics 2022-05-09 Duleabom An , Sophie N. Parragh , Markus Sinnl , Fabien Tricoire

We present a probabilistic modeling framework and adaptive sampling algorithm wherein unsupervised generative models are combined with black box predictive models to tackle the problem of input design. In input design, one is given one or…

Machine Learning · Computer Science 2020-02-12 David H. Brookes , Jennifer Listgarten

We discuss a unified approach to stochastic optimization of pseudo-Boolean objective functions based on particle methods, including the cross-entropy method and simulated annealing as special cases. We point out the need for auxiliary…

Computation · Statistics 2012-04-09 Christian Schäfer

Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker…

Methodology · Statistics 2025-11-13 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar

In recent years the importance of finding a meaningful pattern from huge datasets has become more challenging. Data miners try to adopt innovative methods to face this problem by applying feature selection methods. In this paper we propose…

Machine Learning · Computer Science 2014-03-11 Mehdi Naseriparsa , Amir-masoud Bidgoli , Touraj Varaee

In this work we propose a heuristic algorithm for the layout optimization for disks installed in a rotating circular container. This is a unequal circle packing problem with additional balance constraints. It proved to be an NP-hard…

Computational Geometry · Computer Science 2016-09-13 Washington Alves de Oliveira , Luiz Leduino de Salles Neto , Antonio Carlos Moretti , Ednei Felix Reis

This paper provides a review and commentary on the past, present, and future of numerical optimization algorithms in the context of machine learning applications. Through case studies on text classification and the training of deep neural…

Machine Learning · Statistics 2018-02-12 Léon Bottou , Frank E. Curtis , Jorge Nocedal

In this paper, we describe the hyper-parameter search problem in the field of machine learning and present a heuristic approach in an attempt to tackle it. In most learning algorithms, a set of hyper-parameters must be determined before…

Machine Learning · Computer Science 2020-01-14 Wei Hao Khoong

Kernelization is a general theoretical framework for preprocessing instances of NP-hard problems into (generally smaller) instances with bounded size, via the repeated application of data reduction rules. For the fundamental Max Cut…

Data Structures and Algorithms · Computer Science 2019-05-28 Damir Ferizovic , Demian Hespe , Sebastian Lamm , Matthias Mnich , Christian Schulz , Darren Strash

Computational design of menu systems has been solved in limited cases such as the linear menu (list) as an assignment task, where commands are assigned to menu positions while optimizing for for users selection performance and distance of…

Human-Computer Interaction · Computer Science 2020-10-21 Niraj Ramesh Dayama , Morteza Shiripour , Antti Oulasvirta , Evgeny Ivanko , Andreas Karrenbauer