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The stochastic knapsack problem is the stochastic variant of the classical knapsack problem in which the algorithm designer is given a a knapsack with a given capacity and a collection of items where each item is associated with a profit…

Data Structures and Algorithms · Computer Science 2017-12-05 Anindya De

The Knapsack Problem is a classic problem in combinatorial optimisation. Solving these problems may be computationally expensive. Recent years have seen a growing interest in the use of deep learning methods to approximate the solutions to…

Machine Learning · Computer Science 2023-12-07 Mitchell Keegan , Mahdi Abolghasemi

Submodular maximization is one of the central topics in combinatorial optimization. It has found numerous applications in the real world. In the past decades, a series of algorithms have been proposed for this problem. However, most of the…

Data Structures and Algorithms · Computer Science 2023-04-03 Xiaoming Sun , Jialin Zhang , Shuo Zhang , Zhijie Zhang

We address the classical knapsack problem and a variant in which an upper bound is imposed on the number of items that can be selected. We show that appropriate combinations of rounding techniques yield novel and powerful ways of rounding.…

Computational Complexity · Computer Science 2007-05-23 Monaldo Mastrolilli , Marcus Hutter

The choices of hyperparameters have critical effects on the performance of machine learning models. In this paper, we present a general framework that is able to construct an adaptive optimizer, which automatically adjust the appropriate…

Machine Learning · Computer Science 2022-01-31 Huayuan Sun

Genetic algorithms (GAs) emulate the process of biological evolution, in a computational setting, in order to generate good solutions to difficult search and optimisation problems. GA-based optimisers tend to be extremely robust and…

Instrumentation and Methods for Astrophysics · Physics 2012-02-09 Vinesh Rajpaul

Although the applications of Non-Homogeneous Poisson Processes to model and study the threshold overshoots of interest in different time series of measurements have proven to provide good results, they needed to be complemented with an…

Applications · Statistics 2023-09-15 Biviana Marcela Suárez-Sierra , Arrigo Coen , Carlos Alberto Taimal

Analyzing large datasets to select optimal features is one of the most important research areas in machine learning and data mining. This feature selection procedure involves dimensionality reduction which is crucial in enhancing the…

Neural and Evolutionary Computing · Computer Science 2024-09-24 Zhila Yaseen Taha , Abdulhady Abas Abdullah , Tarik A. Rashid

We consider a class of combinatorial optimization problems that emerge in a variety of domains among which: condensed matter physics, theory of financial risks, error correcting codes in information transmissions, molecular and protein…

Numerical Analysis · Mathematics 2025-10-20 L. Bussolari , P. Contucci , C. Giardina' , C. Giberti , F. Unguendoli , C. Vernia

We introduce and study a discrete multi-period extension of the classical knapsack problem, dubbed generalized incremental knapsack. In this setting, we are given a set of $n$ items, each associated with a non-negative weight, and $T$ time…

Data Structures and Algorithms · Computer Science 2020-09-16 Yuri Faenza , Danny Segev , Lingyi Zhang

Studies have shown that multi-objective optimization problems are hard problems. Such problems either require longer time to converge to an optimum solution, or may not converge at all. Recently some researchers have claimed that real…

Neural and Evolutionary Computing · Computer Science 2014-06-11 Shahab U. Ansari , Sameen Mansha

Motivation: Gene selection has become a common task in most gene expression studies. The objective of such research is often to identify the smallest possible set of genes that can still achieve good predictive performance. The problem of…

In general, we can not use algebraic or enumerative methods to optimize a quality control (QC) procedure so as to detect the critical random and systematic analytical errors with stated probabilities, while the probability for false…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Aristides T. Hatjimihail , Theophanes T. Hatjimihail

The paper is devoted to upper bounds on run-time of Non-Elitist Genetic Algorithms until some target subset of solutions is visited for the first time. In particular, we consider the sets of optimal solutions and the sets of local optima as…

Neural and Evolutionary Computing · Computer Science 2015-12-10 Duc-Cuong Dang , Anton V. Eremeev , Per Kristian Lehre

Random sample consensus (RANSAC) is a successful algorithm in model fitting applications. It is vital to have strong exploration phase when there are an enormous amount of outliers within the dataset. Achieving a proper model is guaranteed…

Neural and Evolutionary Computing · Computer Science 2017-11-28 Ehsan Shojaedini , Mahshid Majd , Reza Safabakhsh

In this work, we show how a genetic algorithm (GA) can be used to find step-by-step solutions to introductory physics problems. Our perspective is that the underlying task for this is one of finding a sequence of equations that will lead to…

Neural and Evolutionary Computing · Computer Science 2025-08-18 Tom Bensky , Justin Kopcinski

We study the problem of optimal traffic prediction and monitoring in large-scale networks. Our goal is to determine which subset of K links to monitor in order to "best" predict the traffic on the remaining links in the network. We consider…

Data Structures and Algorithms · Computer Science 2013-12-04 Michael Kallitsis , Stilian Stoev , George Michailidis

The performance of different mutation operators is usually evaluated in conjunc-tion with specific parameter settings of genetic algorithms and target problems. Most studies focus on the classical genetic algorithm with different parameters…

Neural and Evolutionary Computing · Computer Science 2016-06-03 Chun Liu , Andreas Kroll

We study the three-dimensional Knapsack (3DK) problem, in which we are given a set of axis-aligned cuboids with associated profits and an axis-aligned cube knapsack. The objective is to find a non-overlapping axis-aligned packing (by…

Data Structures and Algorithms · Computer Science 2025-03-26 Klaus Jansen , Debajyoti Kar , Arindam Khan , K. V. N. Sreenivas , Malte Tutas

In real-time trajectory planning for unmanned vehicles, on-board sensors, radars and other instruments are used to collect information on possible obstacles to be avoided and pathways to be followed. Since, in practice, observations of the…

Methodology · Statistics 2013-09-25 Adriano Zanin Zambom , Julian A. A. Collazos , Ronaldo Dias
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