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This paper studies the problem of enumerating all maximal collinear subsets of size at least three in a given set of $n$ points. An algorithm for this problem, besides solving degeneracy testing and the exact fitting problem, can also help…

Computational Geometry · Computer Science 2017-06-20 Ali Gholami Rudi , Raimi Ayinde Rufai

A sequential piecewise linear programming method is presented where bounded domains of non-convex functions are successively contracted about the solution of a piecewise linear program at each iteration of the algorithm. Although…

Optimization and Control · Mathematics 2020-04-21 James P. L. Tan

This paper deals with off-line detection of change points for time series of independent observations, when the number of change points is unknown. We propose a sequential analysis like method with linear time and memory complexity. Our…

Statistics Theory · Mathematics 2015-03-13 Pierre R Bertrand , Mehdi Fhima

This note presents a simple and effective variation of genetic algorithm (GA) for solving RCPSP, denoted as 2-Phase Genetic Algorithm (2PGA). The 2PGA implements GA parent selection in two phases: Phase-1 includes the best current solutions…

Neural and Evolutionary Computing · Computer Science 2025-09-04 D. Sun , S. Zhou

Sequential quadratic optimization algorithms are proposed for solving smooth nonlinear optimization problems with equality constraints. The main focus is an algorithm proposed for the case when the constraint functions are deterministic,…

Optimization and Control · Mathematics 2020-07-22 Albert Berahas , Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

We describe our process for automatic detection of performance changes for a software product in the presence of noise. A large collection of tests run periodically as changes to our software product are committed to our source repository,…

Software Engineering · Computer Science 2020-03-03 David Daly , William Brown , Henrik Ingo , Jim O'Leary , David Bradford

In this paper we consider change-points in multiple sequences with the objective of minimizing the estimation error of a sequence by making use of information from other sequences. This is in contrast to recent interest on change-points in…

Statistics Theory · Mathematics 2023-02-02 Hock Peng Chan

Resource-efficient convolution neural networks enable not only the intelligence on edge devices but also opportunities in system-level optimization such as scheduling. In this work, we aim to improve the performance of resource-constrained…

Computer Vision and Pattern Recognition · Computer Science 2018-10-19 Ting-Wu Chin , Cha Zhang , Diana Marculescu

In many real-world problems of real-time monitoring high-dimensional streaming data, one wants to detect an undesired event or change quickly once it occurs, but under the sampling control constraint in the sense that one might be able to…

Methodology · Statistics 2022-04-12 Wanrong Zhang , Yajun Mei

We investigate a class of moment problems, namely recovering a measure supported on the graph of a function from partial knowledge of its moments, as for instance in some problems of optimal transport or density estimation. We show that the…

Optimization and Control · Mathematics 2021-06-24 Didier Henrion , Jean Lasserre

We study algorithms for online change-point detection (OCPD), where samples that are potentially heavy-tailed, are presented one at a time and a change in the underlying mean must be detected as early as possible. We present an algorithm…

Machine Learning · Statistics 2023-07-04 Abishek Sankararaman , Balakrishnan , Narayanaswamy

We study the fixed design segmented regression problem: Given noisy samples from a piecewise linear function $f$, we want to recover $f$ up to a desired accuracy in mean-squared error. Previous rigorous approaches for this problem rely on…

Machine Learning · Computer Science 2016-07-15 Jayadev Acharya , Ilias Diakonikolas , Jerry Li , Ludwig Schmidt

The demand for faster protection algorithms is growing due to the increasingly faster dynamics in the system. The majority of existing algorithms require empirically selected set-points, which may reduce sensitivity to internal faults and…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Nadezhda Davydova , Dmitry Shchetinin , Gabriela Hug

Information systems generate a large volume of event log data during business operations, much of which consists of low-value and redundant information. When performance predictions are made directly from these logs, the accuracy of the…

Machine Learning · Computer Science 2025-03-12 Jianhong Ye , Siyuan Zhang , Yan Lin

Liquid Chromatography coupled to Mass Spectrometry (LC-MS) based methods are commonly used for high-throughput, quantitative measurements of the proteome (i.e. the set of all proteins in a sample at a given time). Targeted LC-MS produces…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Leon L. Xu , Hannes L. Röst

In this article, we introduce a new technique for precision tuning. This problem consists of finding the least data types for numerical values such that the result of the computation satisfies some accuracy requirement. State of the art…

Programming Languages · Computer Science 2021-03-10 Assalé Adjé , Dorra Ben Khalifa , Matthieu Martel

We consider the line spectral estimation problem which aims to recover a mixture of complex sinusoids from a small number of randomly observed time domain samples. Compressed sensing methods formulates line spectral estimation as a sparse…

Numerical Analysis · Computer Science 2015-12-11 Jun Fang , Linxiao Yang , Hongbin Li

We consider saddle point problems which objective functions are the average of $n$ strongly convex-concave individual components. Recently, researchers exploit variance reduction methods to solve such problems and achieve linear-convergence…

Machine Learning · Computer Science 2019-09-17 Luo Luo , Cheng Chen , Yujun Li , Guangzeng Xie , Zhihua Zhang

With the emergence of various molecular tasks and massive datasets, how to perform efficient training has become an urgent yet under-explored issue in the area. Data pruning (DP), as an oft-stated approach to saving training burdens,…

Machine Learning · Computer Science 2024-09-04 Dingshuo Chen , Zhixun Li , Yuyan Ni , Guibin Zhang , Ding Wang , Qiang Liu , Shu Wu , Jeffrey Xu Yu , Liang Wang

Sparse linear regression is a central problem in high-dimensional statistics. We study the correlated random design setting, where the covariates are drawn from a multivariate Gaussian $N(0,\Sigma)$, and we seek an estimator with small…

Data Structures and Algorithms · Computer Science 2023-05-29 Jonathan Kelner , Frederic Koehler , Raghu Meka , Dhruv Rohatgi