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We consider the problem of streaming kernel regression, when the observations arrive sequentially and the goal is to recover the underlying mean function, assumed to belong to an RKHS. The variance of the noise is not assumed to be known.…

Machine Learning · Statistics 2017-08-03 Audrey Durand , Odalric-Ambrym Maillard , Joelle Pineau

We consider \textsc{Persistence}, a new online problem concerning optimizing weighted observations in a stream of data when the observer has limited buffer capacity. A stream of weighted items arrive one at a time at the entrance of a…

Data Structures and Algorithms · Computer Science 2016-04-12 Konstantinos Georgiou , George Karakostas , Evangelos Kranakis , Danny Krizanc

We study the problem of estimating the number of triangles in a graph stream. No streaming algorithm can get sublinear space on all graphs, so methods in this area bound the space in terms of parameters of the input graph such as the…

Data Structures and Algorithms · Computer Science 2019-04-18 John Kallaugher , Eric Price

An algorithm is said to be adaptive to a certain parameter (of the problem) if it does not need a priori knowledge of such a parameter but performs competitively to those that know it. This dissertation presents our work on adaptive…

Machine Learning · Computer Science 2023-07-10 Zhenxun Zhuang

In this work, we study longest common substring, pattern matching, and wildcard pattern matching in the asymmetric streaming model. In this streaming model, we have random access to one string and streaming access to the other one. We…

Data Structures and Algorithms · Computer Science 2021-07-13 Tung Mai , Anup Rao , Ryan A. Rossi , Saeed Seddighin

We study algorithms in the resettable streaming model, where the value of each key can either be increased or reset to zero. The model is suitable for applications such as active resource monitoring with support for deletions and machine…

Data Structures and Algorithms · Computer Science 2026-01-30 Edith Cohen , Elena Gribelyuk , Jelani Nelson , Uri Stemmer

This paper studies the online scheduling problem of minimizing total flow time for $n$ jobs on $m$ identical machines. A classical $\Omega(n)$ lower bound shows that no deterministic single-machine algorithm can beat the trivial greedy,…

Data Structures and Algorithms · Computer Science 2026-04-02 Yutong Geng , Enze Sun , Zonghan Yang , Yuhao Zhang

We present data-dependent learning bounds for the general scenario of non-stationary non-mixing stochastic processes. Our learning guarantees are expressed in terms of a data-dependent measure of sequential complexity and a discrepancy…

Machine Learning · Computer Science 2018-03-16 Vitaly Kuznetsov , Mehryar Mohri

This paper presents an evolutionary algorithm for modeling the arrival dates of document streams, which is any time-stamped collection of documents, such as newscasts, e-mails, IRC conversations, scientific journals archives and weblog…

Information Retrieval · Computer Science 2007-05-23 Lourdes Araujo , Juan J. Merelo

We consider the fundamental problems of approximately counting the numbers of edges and triangles in a graph in sublinear time. Previous algorithms for these tasks are significantly more efficient under a promise that the arboricity of the…

Data Structures and Algorithms · Computer Science 2025-09-25 Talya Eden , Ronitt Rubinfeld , Arsen Vasilyan

This paper studies the classic problem of finding heavy hitters in the turnstile streaming model. We give the first deterministic linear sketch that has $O(\epsilon^{-2} \log n \cdot \log^*(\epsilon^{-1}))$ rows and answers queries in…

Data Structures and Algorithms · Computer Science 2018-06-13 Yi Li , Vasileios Nakos

This article derives lower bounds on the convergence rate of continuous-time gradient-based optimization algorithms. The algorithms are subjected to a time-normalization constraint that avoids a reparametrization of time in order to make…

Optimization and Control · Mathematics 2020-08-04 Michael Muehlebach , Michael I. Jordan

While video streaming algorithms are a hot research area, with interesting new approaches proposed every few months, little is known about the behavior of the streaming algorithms deployed across large online streaming platforms that…

Networking and Internet Architecture · Computer Science 2020-01-10 Melissa Licciardello , Maximilian Grüner , Ankit Singla

We consider the problem of finding a minimum cut of a weighted graph presented as a single-pass stream. While graph sparsification in streams has been intensively studied, the specific application of finding minimum cuts in streams is less…

Data Structures and Algorithms · Computer Science 2024-12-09 Matthew Ding , Alexandro Garces , Jason Li , Honghao Lin , Jelani Nelson , Vihan Shah , David P. Woodruff

We revisit the classic problem of dynamically maintaining shortest paths between all pairs of nodes of a directed weighted graph. The allowed updates are insertions and deletions of nodes and their incident edges. We give worst-case…

Data Structures and Algorithms · Computer Science 2018-03-02 Ittai Abraham , Shiri Chechik , Sebastian Krinninger

We consider the unweighted bipartite maximum matching problem in the one-pass turnstile streaming model where the input stream consists of edge insertions and deletions. In the insertion-only model, a one-pass $2$-approximation streaming…

Data Structures and Algorithms · Computer Science 2015-05-07 Christian Konrad

In this paper, we study streaming and online algorithms in the context of randomness in the input. For several problems, a random order of the input sequence---as opposed to the worst-case order---appears to be a necessary evil in order to…

Data Structures and Algorithms · Computer Science 2020-04-28 Paritosh Garg , Sagar Kale , Lars Rohwedder , Ola Svensson

The traditional requirement for a randomized streaming algorithm is just {\em one-shot}, i.e., algorithm should be correct (within the stated $\eps$-error bound) at the end of the stream. In this paper, we study the {\em tracking} problem,…

Data Structures and Algorithms · Computer Science 2014-12-05 Zengfeng Huang , Wai Ming Tai , Ke Yi

We consider streaming algorithms for approximating a product of input probabilities up to multiplicative error of $1-\epsilon$. It is shown that every randomized streaming algorithm for this problem needs space $\Omega(\log n + \log b -…

Data Structures and Algorithms · Computer Science 2025-10-02 Markus Lohrey , Leon Rische , Louisa Seelbach Benkner , Julio Xochitemol

Consider the following abstract coin tossing problem: Given a set of $n$ coins with unknown biases, find the most biased coin using a minimal number of coin tosses. This is a common abstraction of various exploration problems in theoretical…

Data Structures and Algorithms · Computer Science 2022-12-29 Sepehr Assadi , Chen Wang