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Many separable nonlinear optimization problems can be approximated by their nonlinear objective functions with piecewise linear functions. A natural question arising from applying this approach is how to break the interval of interest into…

最优化与控制 · 数学 2019-09-10 Carlos Ugaz , Lanshan Han , Alvin Lim

We propose an anytime online algorithm for the problem of learning a sequence of adversarial convex cost functions while approximately satisfying another sequence of adversarial online convex constraints. A sequential algorithm is called…

机器学习 · 计算机科学 2025-10-28 Dhruv Sarkar , Abhishek Sinha

The use of multichannel data in line spectral estimation (or frequency estimation) is common for improving the estimation accuracy in array processing, structural health monitoring, wireless communications, and more. Recently proposed…

信息论 · 计算机科学 2018-10-15 Zai Yang , Jinhui Tang , Yonina C. Eldar , Lihua Xie

We propose a new technique for constructing low-rank approximations of matrices that arise in kernel methods for machine learning. Our approach pairs a novel automatically constructed analytic expansion of the underlying kernel function…

机器学习 · 计算机科学 2022-02-09 John Paul Ryan , Anil Damle

We consider the problem of estimating how well a model class is capable of fitting a distribution of labeled data. We show that it is often possible to accurately estimate this "learnability" even when given an amount of data that is too…

机器学习 · 计算机科学 2019-03-26 Weihao Kong , Gregory Valiant

In this paper we propose an algorithm for the approximate k-Nearest-Neighbors problem. According to the existing researches, there are two kinds of approximation criterion. One is the distance criteria, and the other is the recall criteria.…

计算几何 · 计算机科学 2020-08-10 Hengzhao Ma , Jianzhong Li

This paper establishes a nearly optimal algorithm for estimating the frequencies and amplitudes of a mixture of sinusoids from noisy equispaced samples. We derive our algorithm by viewing line spectral estimation as a sparse recovery…

信息论 · 计算机科学 2013-04-02 Gongguo Tang , Badri Narayan Bhaskar , Benjamin Recht

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

机器学习 · 计算机科学 2023-01-24 Nikolaj Tatti

In this paper, we study the discrete time filtering problems for linear systems driven by fractional noises. The main difficulty comes from the non-Markovian of the noises. We construct the difference equation of the covariance process…

最优化与控制 · 数学 2024-12-24 Yuecai Han , Yuhang Li

We consider the range mode problem where given a sequence and a query range in it, we want to find items with maximum frequency in the range. We give time- and space- efficient algorithms for this problem. Our algorithms are efficient for…

数据结构与算法 · 计算机科学 2019-07-26 Kentaro Sumigawa , Sankardeep Chakraborty , Kunihiko Sadakane , Srinivasa Rao Satti

We present linear time {\it in-place} algorithms for several basic and fundamental graph problems including the well-known graph search methods (like depth-first search, breadth-first search, maximum cardinality search), connectivity…

数据结构与算法 · 计算机科学 2019-07-24 Sankardeep Chakraborty , Kunihiko Sadakane , Srinivasa Rao Satti

We present a new algorithm for solving linear-quadratic regulator (LQR) problems with linear equality constraints, also known as constrained LQR (CLQR) problems. Our method's sequential runtime is linear in the number of stages and…

最优化与控制 · 数学 2024-08-06 João Sousa-Pinto , Dominique Orban

We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n vertices and k crossings, where k is smaller than n by an…

计算几何 · 计算机科学 2010-12-16 David Eppstein , Michael T. Goodrich , Darren Strash

This paper develops and analyzes an optimal-order semi-discrete scheme and its fully discrete finite element approximation for nonlinear stochastic elastic wave equations with multiplicative noise. A non-standard time-stepping scheme is…

数值分析 · 数学 2025-04-08 Xiaobing Feng , Yukun Li , Liet Vo

In this article, we use the monotonic optimization approach to propose an outcome-space outer approximation by copolyblocks for solving strictly quasiconvex multiobjective programming problems and especially in the case that the objective…

最优化与控制 · 数学 2020-03-26 Tran Ngoc Thang , Vijender Kumar Solanki , Tuan Anh Dao , Nguyen Thi Ngoc Anh , Hai V. Pham

Identifying the start time of a sequence of symbols received at the receiver, commonly referred to as \emph{frame synchronization}, is a critical task for achieving good performance in digital communications systems employing…

信号处理 · 电气工程与系统科学 2020-07-14 Oren Kolaman , Ron Dabora

Allen's interval algebra is one of the most well-known calculi in qualitative temporal reasoning with numerous applications in artificial intelligence. Recently, there has been a surge of improvements in the fine-grained complexity of…

计算复杂性 · 计算机科学 2023-05-26 Leif Eriksson , Victor Lagerkvist

This work concerns the analysis and design of distributed first-order optimization algorithms over time-varying graphs. The goal of such algorithms is to optimize a global function that is the average of local functions using only local…

最优化与控制 · 数学 2020-02-17 Akhil Sundararajan , Bryan Van Scoy , Laurent Lessard

The area of sublinear algorithms have recently received a lot of attention. In this setting, one has to choose specific access model for the input, as the algorithm does not have time to pre-process or even to see the whole input. A…

数据结构与算法 · 计算机科学 2020-09-24 Jakub Tětek

We study the problem of efficient online multiclass linear classification with bandit feedback, where all examples belong to one of $K$ classes and lie in the $d$-dimensional Euclidean space. Previous works have left open the challenge of…