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Changepoints are abrupt variations in the generative parameters of a data sequence. Online detection of changepoints is useful in modelling and prediction of time series in application areas such as finance, biometrics, and robotics. While…

机器学习 · 统计学 2007-10-22 Ryan Prescott Adams , David J. C. MacKay

We introduce and study two new inferential challenges associated with the sequential detection of change in a high-dimensional mean vector. First, we seek a confidence interval for the changepoint, and second, we estimate the set of indices…

统计方法学 · 统计学 2023-03-03 Yudong Chen , Tengyao Wang , Richard J. Samworth

We consider the \emph{approximate minimum selection} problem in presence of \emph{independent random comparison faults}. This problem asks to select one of the smallest $k$ elements in a linearly-ordered collection of $n$ elements by only…

数据结构与算法 · 计算机科学 2020-07-08 Stefano Leucci , Chih-Hung Liu

We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

数据结构与算法 · 计算机科学 2022-07-19 Uwe Schwiegelshohn

Fixpoints are ubiquitous in computer science and when dealing with quantitative semantics and verification one often considers least fixpoints of (higher-dimensional) functions over the non-negative reals. We show how to approximate the…

计算机科学中的逻辑 · 计算机科学 2025-06-16 Paolo Baldan , Sebastian Gurke , Barbara König , Tommaso Padoan , Florian Wittbold

Center-based clustering techniques are fundamental in some areas of machine learning such as data summarization. Generic $k$-center algorithms can produce biased cluster representatives so there has been a recent interest in fair $k$-center…

分布式、并行与集群计算 · 计算机科学 2023-02-21 Jinxiang Gan , Mordecai Golin , Zonghan Yang , Yuhao Zhang

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

We consider an online scheduling problem, motivated by the issues present at the joints of networks using ATM and TCP/IP. Namely, IP packets have to broken down to small ATM cells and sent out before their deadlines, but cells corresponding…

数据结构与算法 · 计算机科学 2009-04-14 Christoph Durr , Lukasz Jez , Nguyen Kim Thang

Online caching is among the most fundamental and well-studied problems in the area of online algorithms. Innovative algorithmic ideas and analysis -- including potential functions and primal-dual techniques -- give insight into this…

数据结构与算法 · 计算机科学 2023-05-05 Sharat Ibrahimpur , Manish Purohit , Zoya Svitkina , Erik Vee , Joshua R. Wang

Online linear programming (OLP) has found broad applications in revenue management and resource allocation. State-of-the-art OLP algorithms achieve low regret by repeatedly solving linear programming (LP) subproblems that incorporate…

机器学习 · 统计学 2025-11-04 Jingruo Sun , Wenzhi Gao , Ellen Vitercik , Yinyu Ye

Consider a binary classification problem in which the learner is given a labeled training set, an unlabeled test set, and is restricted to choosing exactly $k$ test points to output as positive predictions. Problems of this kind---{\it…

机器学习 · 计算机科学 2015-10-21 Li-Ping Liu , Thomas G. Dietterich , Nan Li , Zhi-Hua Zhou

We study the quadratic penalty method (QPM) for smooth nonconvex optimization problems with equality constraints. Assuming the constraint violation satisfies the PL condition near the feasible set, we derive sharper worst-case complexity…

最优化与控制 · 数学 2026-01-06 Florentin Goyens , Geovani N. Grapiglia

The challenge in the widely applicable online matching problem lies in making irrevocable assignments while there is uncertainty about future inputs. Most theoretically-grounded policies are myopic or greedy in nature. In real-world…

机器学习 · 计算机科学 2022-11-01 Mohammad Ali Alomrani , Reza Moravej , Elias B. Khalil

We revisit the problem of online learning with sleeping experts/bandits: in each time step, only a subset of the actions are available for the algorithm to choose from (and learn about). The work of Kleinberg et al. (2010) showed that there…

机器学习 · 计算机科学 2021-04-27 Ehsan Emamjomeh-Zadeh , Chen-Yu Wei , Haipeng Luo , David Kempe

We give an $O(\log\log k)$-competitive randomized online algorithm for reordering buffer management, where $k$ is the buffer size. Our bound matches the lower bound of Adamaszek et al. (STOC 2011). Our algorithm has two stages which are…

数据结构与算法 · 计算机科学 2013-03-15 Noa Avigdor-elgrabli , Yuval Rabani

Online learning to rank is a core problem in machine learning. In Lattimore et al. (2018), a novel online learning algorithm was proposed based on topological sorting. In the paper they provided a set of self-normalized inequalities (a) in…

机器学习 · 统计学 2020-01-22 Victor de la Pena , Haolin Zou

In the $k$-cut problem, we are given an edge-weighted graph $G$ and an integer $k$, and have to remove a set of edges with minimum total weight so that $G$ has at least $k$ connected components. The current best algorithms are an…

数据结构与算法 · 计算机科学 2019-03-22 Anupam Gupta , Euiwoong Lee , Jason Li

The goal of a learner, in standard online learning, is to have the cumulative loss not much larger compared with the best-performing function from some fixed class. Numerous algorithms were shown to have this gap arbitrarily close to zero,…

机器学习 · 计算机科学 2013-03-04 Nina Vaits , Edward Moroshko , Koby Crammer

In this work we investigate the min-max-min robust optimization problem and the k-adaptability robust optimization problem for binary problems with uncertain costs. The idea of the first approach is to calculate a set of k feasible…

最优化与控制 · 数学 2023-08-16 Jannis Kurtz

We consider a variant of the online buffer management problem in network switches, called the $k$-frame throughput maximization problem ($k$-FTM). This problem models the situation where a large frame is fragmented into $k$ packets and…

数据结构与算法 · 计算机科学 2013-09-23 Jun Kawahara , Koji M. Kobayashi , Shuichi Miyazaki