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Continuous DR-submodular functions are a class of functions that satisfy the Diminishing Returns (DR) property, which implies that they are concave along non-negative directions. Existing works have studied monotone continuous DR-submodular…

机器学习 · 计算机科学 2022-05-31 Omid Sadeghi , Maryam Fazel

Maximizing submodular functions have been studied extensively for a wide range of subset-selection problems. However, much less attention has been given to the role of submodularity in sequence-selection and ranking problems. A…

数据结构与算法 · 计算机科学 2023-01-18 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

In many emerging applications, data streams are monitored in a network environment. Due to limited communication bandwidth and other resource constraints, a critical and practical demand is to online compress data streams continuously with…

数据结构与算法 · 计算机科学 2008-12-01 Emad Soroush , Kui Wu , Jian Pei

Data summarization has become a valuable tool in understanding even terabytes of data. Due to their compelling theoretical properties, submodular functions have been in the focus of summarization algorithms. These algorithms offer…

机器学习 · 计算机科学 2021-05-11 Sebastian Buschjäger , Philipp-Jan Honysz , Lukas Pfahler , Katharina Morik

Low-tubal-rank tensor approximation has been proposed to analyze large-scale and multi-dimensional data. However, finding such an accurate approximation is challenging in the streaming setting, due to the limited computational resources. To…

机器学习 · 计算机科学 2021-08-24 Qianxin Yi , Chenhao Wang , Kaidong Wang , Yao Wang

We explore a novel problem in streaming submodular maximization, inspired by the dynamics of news-recommendation platforms. We consider a setting where users can visit a news website at any time, and upon each visit, the website must…

数据结构与算法 · 计算机科学 2026-01-19 Honglian Wang , Sijing Tu , Lutz Oettershagen , Aristides Gionis

Maximizing a monotone submodular function under various constraints is a classical and intensively studied problem. However, in the single-pass streaming model, where the elements arrive one by one and an algorithm can store only a small…

数据结构与算法 · 计算机科学 2020-02-14 Chien-Chung Huang , Naonori Kakimura , Simon Mauras , Yuichi Yoshida

Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solvable in polynomial time, but general purpose algorithms have…

机器学习 · 计算机科学 2015-02-10 Alina Ene , Huy L. Nguyen

Streaming platforms, like Netflix and YouTube, strive to offer high streaming quality (SQ), in terms of bitrate, delays, etc., to their users. Meanwhile, a significant share of content consumption of these platforms is heavily influenced by…

网络与互联网体系结构 · 计算机科学 2022-04-12 Dimitra Tsigkari , Thrasyvoulos Spyropoulos

A central problem in the theory of algorithms for data streams is to determine which functions on a stream can be approximated in sublinear, and especially sub-polynomial or poly-logarithmic, space. Given a function $g$, we study the space…

数据结构与算法 · 计算机科学 2016-01-28 Vladimir Braverman , Stephen R. Chestnut , David P. Woodruff , Lin F. Yang

Most known algorithms in the streaming model of computation aim to approximate a single function such as an $\ell_p$-norm. In 2009, Nelson [\url{https://sublinear.info}, Open Problem 30] asked if it possible to design \emph{universal…

数据结构与算法 · 计算机科学 2020-04-07 Vladimir Braverman , Robert Krauthgamer , Lin F. Yang

We propose a streaming submodular maximization algorithm "stream clipper" that performs as well as the offline greedy algorithm on document/video summarization in practice. It adds elements from a stream either to a solution set $S$ or to…

机器学习 · 统计学 2018-02-14 Tianyi Zhou , Jeff Bilmes

We study the space complexity of solving the bias-regularized SVM problem in the streaming model. This is a classic supervised learning problem that has drawn lots of attention, including for developing fast algorithms for solving the…

数据结构与算法 · 计算机科学 2020-07-08 Alexandr Andoni , Collin Burns , Yi Li , Sepideh Mahabadi , David P. Woodruff

We initiate a broad study of classical problems in the streaming model with insertions and deletions in the setting where we allow the approximation factor $\alpha$ to be much larger than $1$. Such algorithms can use significantly less…

数据结构与算法 · 计算机科学 2022-07-19 Yi Li , Honghao Lin , David P. Woodruff , Yuheng Zhang

This paper argues that randomized linear sketching is a natural tool for on-the-fly compression of data matrices that arise from large-scale scientific simulations and data collection. The technical contribution consists in a new algorithm…

数值分析 · 计算机科学 2019-02-26 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

Motivated by machine learning applications in networks of sensors, internet-of-things (IoT) devices, and autonomous agents, we propose techniques for distributed stochastic convex learning from high-rate data streams. The setup involves a…

机器学习 · 统计学 2019-06-11 Matthew Nokleby , Waheed U. Bajwa

We give near-optimal algorithms for computing an ellipsoidal rounding of a convex polytope whose vertices are given in a stream. The approximation factor is linear in the dimension (as in John's theorem) and only loses an excess logarithmic…

数据结构与算法 · 计算机科学 2023-11-17 Yury Makarychev , Naren Sarayu Manoj , Max Ovsiankin

We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable functions, while the other function is proper, lower…

最优化与控制 · 数学 2023-05-12 Duy-Nhat Phan , Sedi Bartz , Nilabja Guha , Hung M. Phan

We study algorithms for the sliding-window model, an important variant of the data-stream model, in which the goal is to compute some function of a fixed-length suffix of the stream. We extend the smooth-histogram framework of Braverman and…

数据结构与算法 · 计算机科学 2022-05-26 Robert Krauthgamer , David Reitblat

In this paper we study the extraction of representative elements in the data stream model in the form of submodular maximization. Different from the previous work on streaming submodular maximization, we are interested only in the recent…

数据结构与算法 · 计算机科学 2016-11-02 Jiecao Chen , Huy L. Nguyen , Qin Zhang