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Sorting an array is a fundamental routine in machine learning, one that is used to compute rank-based statistics, cumulative distribution functions (CDFs), quantiles, or to select closest neighbors and labels. The sorting function is…

Machine Learning · Computer Science 2019-11-05 Marco Cuturi , Olivier Teboul , Jean-Philippe Vert

We formalize a new paradigm for optimality of algorithms, that generalizes worst-case optimality based only on input-size to problem-dependent parameters including implicit ones. We re-visit some existing sorting algorithms from this…

Data Structures and Algorithms · Computer Science 2025-11-11 Sandeep Sen

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

Sorting is the task of ordering $n$ elements using pairwise comparisons. It is well known that $m=\Theta(n\log n)$ comparisons are both necessary and sufficient when the outcomes of the comparisons are observed with no noise. In this paper,…

Information Theory · Computer Science 2024-07-09 Ziao Wang , Nadim Ghaddar , Banghua Zhu , Lele Wang

The size and complexity of software and hardware systems have significantly increased in the past years. As a result, it is harder to guarantee their correct behavior. One of the most successful methods for automated verification of…

Artificial Intelligence · Computer Science 2011-07-04 O. Grumberg , S. Livne , S. Markovitch

LearnedSort is a novel sorting algorithm that, unlike traditional methods, uses fast ML models to boost the sorting speed. The models learn to estimate the input's distribution and arrange the keys in sorted order by predicting their…

Data Structures and Algorithms · Computer Science 2021-07-08 Ani Kristo , Kapil Vaidya , Tim Kraska

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

Sorting is a foundational primitive in modern data processing, influencing the execution speed of high-performance data pipelines. However, the algorithmic landscape is currently bifurcated by a pervasive "Stability Tax": practitioners must…

Data Structures and Algorithms · Computer Science 2026-05-15 Hriday Jain , Ketan Sabale , Aditya Shastri , Hiren Kumar Thakkar , Ashutosh Londhe

This paper studies problems of inferring order given noisy information. In these problems there is an unknown order (permutation) $\pi$ on $n$ elements denoted by $1,...,n$. We assume that information is generated in a way correlated with…

Data Structures and Algorithms · Computer Science 2009-10-08 Mark Braverman , Elchanan Mossel

Recognising and reacting to change in non-stationary data-streams is a challenging task. The majority of research in this area assumes that the true class label of incoming points are available, either at each time step or intermittently…

Neural and Evolutionary Computing · Computer Science 2023-12-27 Conor Fahy , Shengxiang Yang

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

When a problem instance is perturbed by a small modification, one would hope to find a good solution for the new instance by building on a known good solution for the previous one. Via a rigorous mathematical analysis, we show that…

Neural and Evolutionary Computing · Computer Science 2019-04-17 Benjamin Doerr , Carola Doerr , Frank Neumann

We present a novel adaptive optimization algorithm for large-scale machine learning problems. Equipped with a low-cost estimate of local curvature and Lipschitz smoothness, our method dynamically adapts the search direction and step-size.…

Machine Learning · Computer Science 2021-09-14 Majid Jahani , Sergey Rusakov , Zheng Shi , Peter Richtárik , Michael W. Mahoney , Martin Takáč

Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

Artificial Intelligence · Computer Science 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

Distributed optimization and learning algorithms are designed to operate over large scale networks enabling processing of vast amounts of data effectively and efficiently. One of the main challenges for ensuring a smooth learning process in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Apostolos I. Rikos , Nicola Bastianello , Themistoklis Charalambous , Karl H. Johansson

Sorting is one of the oldest computing problems and is still very important in the age of big data. Various algorithms and implementation techniques have been proposed. In this study, we focus on comparison based, internal sorting…

Data Structures and Algorithms · Computer Science 2016-09-16 Hantao Zhang , Baoluo Meng , Yiwen Liang

The differential evolution algorithm is applied to solve the optimization problem to reconstruct the production function (inverse problem) for the spatial Solow mathematical model using additional measurements of the gross domestic product…

Optimization and Control · Mathematics 2019-04-25 Sergey Kabanikhin , Olga Krivorotko , Maktagali Bektemessov , Zholaman Bektemessov , Shuhua Zhang

This paper presents a procedure to add broader diversity at the beginning of the evolutionary process. It consists of creating two initial populations with different parameter settings, evolving them for a small number of generations,…

Neural and Evolutionary Computing · Computer Science 2024-02-12 Antonio J. Tallón-Ballesteros , César Hervás-Martínez

The last decade has seen a revolution in the theory and application of machine learning and pattern recognition. Through these advancements, variable ranking has emerged as an active and growing research area and it is now beginning to be…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Giorgio Roffo
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