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In the online checkpointing problem, the task is to continuously maintain a set of k checkpoints that allow to rewind an ongoing computation faster than by a full restart. The only operation allowed is to replace an old checkpoint by the…

Data Structures and Algorithms · Computer Science 2013-05-01 Karl Bringmann , Benjamin Doerr , Adrian Neumann , Jakub Sliacan

Consider an infinite sequence of independent, uniformly chosen points from $[0,1]^d$. After looking at each point in the sequence, an overseer is allowed to either keep it or reject it, and this choice may depend on the locations of all…

Probability · Mathematics 2017-09-05 Raaz Dwivedi , Ohad N. Feldheim , Ori Gurel-Gurevich , Aaditya Ramdas

In the stochastic online vector balancing problem, vectors $v_1,v_2,\ldots,v_T$ chosen independently from an arbitrary distribution in $\mathbb{R}^n$ arrive one-by-one and must be immediately given a $\pm$ sign. The goal is to keep the norm…

Data Structures and Algorithms · Computer Science 2020-07-22 Nikhil Bansal , Haotian Jiang , Raghu Meka , Sahil Singla , Makrand Sinha

We present an algorithm for computing upper bounds for the Online Bin Stretching Problem with a small number of bins and the resulting upper bounds for 4, 5 and 6 bins. This both demonstrates the possibility of using computer search for…

Data Structures and Algorithms · Computer Science 2022-02-01 Matej Lieskovský

The online knapsack problem is a classic online resource allocation problem in networking and operations research. Its basic version studies how to pack online arriving items of different sizes and values into a capacity-limited knapsack.…

Data Structures and Algorithms · Computer Science 2023-03-16 Bo Sun , Lin Yang , Mohammad Hajiesmaili , Adam Wierman , John C. S. Lui , Don Towsley , Danny H. K. Tsang

We suggest a novel procedure for online change point detection. Our approach expands an idea of maximizing a discrepancy measure between points from pre-change and post-change distributions. This leads to flexible algorithms suitable for…

Machine Learning · Statistics 2026-03-24 Nikita Puchkin , Artur Goldman , Konstantin Yakovlev , Valeriia Dzis , Uliana Vinogradova

The problem of online change point detection is to detect abrupt changes in properties of time series, ideally as soon as possible after those changes occur. Existing work on online change point detection either assumes i.i.d data, focuses…

Machine Learning · Computer Science 2023-12-01 Lei Xin , George Chiu , Shreyas Sundaram

We introduce a model of online algorithms subject to strict constraints on data retention. An online learning algorithm encounters a stream of data points, one per round, generated by some stationary process. Crucially, each data point can…

Machine Learning · Computer Science 2024-04-18 Nicole Immorlica , Brendan Lucier , Markus Mobius , James Siderius

Changepoints are abrupt variations in the underlying distribution of data. Detecting changes in a data stream is an important problem with many applications. In this paper, we are interested in changepoint detection algorithms which operate…

Machine Learning · Computer Science 2022-01-12 Zhaohui Wang , Xiao Lin , Abhinav Mishra , Ram Sriharsha

We study the online maximum coverage problem on a line, in which, given an online sequence of sub-intervals (which may intersect among each other) of a target large interval and an integer $k$, we aim to select at most $k$ of the…

Data Structures and Algorithms · Computer Science 2020-11-24 Songhua Li , Minming Li , Lingjie Duan , Victor C. S. Lee

Online bin stretching is an online packing problem where some of the best known lower and upper bounds were found through computational searches. The limiting factor in obtaining better bounds with such methods is the computational time…

Optimization and Control · Mathematics 2025-06-24 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

The goal of anomaly detection is to identify observations that are generated by a distribution that differs from the reference distribution that qualifies normal behavior. When examining a time series, the reference distribution may evolve…

Methodology · Statistics 2024-07-23 Etienne Krönert , Dalila Hattab , Alain Celisse

This paper investigates online algorithms for smooth time-varying optimization problems, focusing first on methods with constant step-size, momentum, and extrapolation-length. Assuming strong convexity, precise results for the tracking…

Optimization and Control · Mathematics 2024-07-16 Liam Madden , Stephen Becker , Emiliano Dall'Anese

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

Machine Learning · Computer Science 2021-12-08 Gautam Goel , Babak Hassibi

We study the problem of conformal prediction in a novel online framework that directly optimizes efficiency. In our problem, we are given a target miscoverage rate $\alpha > 0$, and a time horizon $T$. On each day $t \le T$ an algorithm…

Machine Learning · Computer Science 2025-10-23 Vaidehi Srinivas

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…

Machine Learning · Statistics 2020-01-22 Victor de la Pena , Haolin Zou

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…

Machine Learning · Statistics 2007-10-22 Ryan Prescott Adams , David J. C. MacKay

We study the problem of online network change point detection. In this setting, a collection of independent Bernoulli networks is collected sequentially, and the underlying distributions change when a change point occurs. The goal is to…

Statistics Theory · Mathematics 2021-01-15 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

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…

Data Structures and Algorithms · Computer Science 2013-09-23 Jun Kawahara , Koji M. Kobayashi , Shuichi Miyazaki

In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

Data Structures and Algorithms · Computer Science 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis
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