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This paper describes a new median algorithm and a median approximation algorithm. The former has O(n) average running time and the latter has O(n) worst-case running time. These algorithms are highly competitive with the standard algorithm…

Computation · Statistics 2009-05-12 Ryan J. Tibshirani

Dual-pivot quicksort refers to variants of classical quicksort where in the partitioning step two pivots are used to split the input into three segments. This can be done in different ways, giving rise to different algorithms. Recently, a…

Data Structures and Algorithms · Computer Science 2015-10-14 Martin Aumüller , Martin Dietzfelbinger

We develop a fixed-point iterative algorithm that computes the matrix projection with respect to the Bures distance on the set of positive definite matrices that are invariant under some symmetry. We prove that the fixed-point iteration…

Quantum Physics · Physics 2025-12-23 Shrigyan Brahmachari , Roberto Rubboli , Marco Tomamichel

Logistic regression is a widely used statistical model to describe the relationship between a binary response variable and predictor variables in data sets. It is often used in machine learning to identify important predictor variables.…

Optimization and Control · Mathematics 2021-12-30 Jérôme Darbon , Gabriel P. Langlois

We consider the problem of identifying significant predictors in large data bases, where the response variable depends on the linear combination of explanatory variables through an unknown link function, corrupted with the noise from the…

Methodology · Statistics 2019-11-19 Wojciech Rejchel , Malgorzata Bogdan

Restricted skyline (rskyline) query is widely used in multi-criteria decision making. It generalizes the skyline query by additionally considering a set of personalized scoring functions F. Since uncertainty is inherent in datasets for…

Data Structures and Algorithms · Computer Science 2024-01-15 Xiangyu Gao , Jianzhong Li , Dongjing Miao

fixest is an R package for fast and flexible econometric estimation. It provides a unified framework for applied research, with comprehensive support for a diverse class of models: ordinary least squares, instrumental variables, generalized…

Econometrics · Economics 2026-04-06 Laurent R. Bergé , Kyle Butts , Grant McDermott

Various decision support systems are available that implement Data Mining and Data Warehousing techniques for diving into the sea of data for getting useful patterns of knowledge (pearls). Classification, regression, clustering, and many…

Cryptography and Security · Computer Science 2024-03-01 Mohammad Khalid Imam Rahmani

We investigate distributed memory parallel sorting algorithms that scale to the largest available machines and are robust with respect to input size and distribution of the input elements. The main outcome is that four sorting algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Michael Axtmann , Peter Sanders

We develop fixed-point algorithms for the approximation of structured matrices with rank penalties. In particular we use these fixed-point algorithms for making approximations by sums of exponentials, or frequency estimation. For the basic…

Numerical Analysis · Mathematics 2016-01-07 Fredrik Andersson , Marcus Carlsson

In biomedical studies, researchers are often interested in assessing the association between one or more ordinal explanatory variables and an outcome variable, at the same time adjusting for covariates of any type. The outcome variable may…

Methodology · Statistics 2023-04-17 Kaspar Rufibach

Many stochastic optimization problems include chance constraints that enforce constraint satisfaction with a specific probability; however, solving an optimization problem with chance constraints assumes that the solver has access to the…

Optimization and Control · Mathematics 2021-09-21 Joshua Comden , Ahmed S. Zamzam , Andrey Bernstein

Ou et al. (2022) introduce the problem of learning set functions from data generated by a so-called optimal subset oracle. Their approach approximates the underlying utility function with an energy-based model, whose parameters are…

Machine Learning · Computer Science 2024-12-18 Gözde Özcan , Chengzhi Shi , Stratis Ioannidis

For massive data sets, efficient computation commonly relies on distributed algorithms that store and process subsets of the data on different machines, minimizing communication costs. Our focus is on regression and classification problems…

Machine Learning · Statistics 2014-10-27 Xiangyu Wang , Peichao Peng , David Dunson

Multi-Pivot Quicksort refers to variants of classical quicksort where in the partitioning step $k$ pivots are used to split the input into $k + 1$ segments. For many years, multi-pivot quicksort was regarded as impractical, but in 2009 a…

Data Structures and Algorithms · Computer Science 2016-06-01 Martin Aumüller , Martin Dietzfelbinger , Pascal Klaue

Motivation: Model selection is a ubiquitous challenge in statistics. For penalized models, model selection typically entails tuning hyperparameters to maximize a measure of fit or minimize out-of-sample prediction error. However, these…

Methodology · Statistics 2025-05-29 Priyam Das , Sarah Robinson , Christine B. Peterson

Due to the falling costs of data acquisition and storage, researchers and industry analysts often want to find all instances of rare events in large datasets. For instance, scientists can cheaply capture thousands of hours of video, but are…

Databases · Computer Science 2022-01-05 Daniel Kang , Edward Gan , Peter Bailis , Tatsunori Hashimoto , Matei Zaharia

Many applications require randomly sampling bipartite graphs with fixed degrees, or randomly sampling incidence matrices with fixed row and column sums. Although several sampling algorithms exist, the ``curveball'' algorithm is the most…

Data Structures and Algorithms · Computer Science 2022-11-01 Karl Godard , Zachary P. Neal

The majority of machine learning methods can be regarded as the minimization of an unavailable risk function. To optimize the latter, given samples provided in a streaming fashion, we define a general stochastic Newton algorithm and its…

Statistics Theory · Mathematics 2023-06-30 Claire Boyer , Antoine Godichon-Baggioni

A conditional sampling oracle for a probability distribution D returns samples from the conditional distribution of D restricted to a specified subset of the domain. A recent line of work (Chakraborty et al. 2013 and Cannone et al. 2014)…

Data Structures and Algorithms · Computer Science 2016-08-18 Themistoklis Gouleakis , Christos Tzamos , Manolis Zampetakis
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