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We study sketching and streaming algorithms for the Longest Common Subsequence problem (LCS) on strings of small alphabet size $|\Sigma|$. For the problem of deciding whether the LCS of strings $x,y$ has length at least $L$, we obtain a…

数据结构与算法 · 计算机科学 2018-10-03 Karl Bringmann , Bhaskar Ray Chaudhury

In this paper we develop an online statistical inference approach for high-dimensional generalized linear models with streaming data for real-time estimation and inference. We propose an online debiased lasso (ODL) method to accommodate the…

统计理论 · 数学 2021-08-11 Lan Luo , Ruijian Han , Yuanyuan Lin , Jian Huang

We adapt a well known streaming algorithm for approximating item frequencies to the matrix sketching setting. The algorithm receives the rows of a large matrix $A \in \R^{n \times m}$ one after the other in a streaming fashion. It maintains…

数据结构与算法 · 计算机科学 2012-07-12 Edo Liberty

Dense subgraph discovery aims to find a dense component in edge-weighted graphs. This is a fundamental graph-mining task with a variety of applications and thus has received much attention recently. Although most existing methods assume…

机器学习 · 计算机科学 2020-06-25 Yuko Kuroki , Atsushi Miyauchi , Junya Honda , Masashi Sugiyama

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

数据结构与算法 · 计算机科学 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

Subset sum is a very old and fundamental problem in theoretical computer science. In this problem, $n$ items with weights $w_1, w_2, w_3, \ldots, w_n$ are given as input and the goal is to find out if there is a subset of them whose weights…

数据结构与算法 · 计算机科学 2022-09-13 Hamed Saleh , Saeed Seddighin

Follow-the-Regularized-Leader (FTRL) algorithms are a popular class of learning algorithms for online linear optimization (OLO) that guarantee sub-linear regret, but the choice of regularizer can significantly impact dimension-dependent…

机器学习 · 计算机科学 2024-10-24 Khashayar Gatmiry , Jon Schneider , Stefanie Jegelka

Development of many futuristic technologies, such as MANET, VANET, iThings, nano-devices, depend on efficient distributed communication protocols in multi-hop ad hoc networks. A vast majority of research in this area focus on design…

分布式、并行与集群计算 · 计算机科学 2013-02-19 Tomasz Jurdzinski , Dariusz R. Kowalski , Grzegorz Stachowiak

We study the classic NP-Hard problem of finding the maximum $k$-set coverage in the data stream model: given a set system of $m$ sets that are subsets of a universe $\{1,\ldots,n \}$, find the $k$ sets that cover the most number of distinct…

数据结构与算法 · 计算机科学 2018-05-11 Andrew McGregor , Hoa T. Vu

We study the problem of estimating the best B term Fourier representation for a given frequency-sparse signal (i.e., vector) $\textbf{A}$ of length $N \gg B$. More explicitly, we investigate how to deterministically identify B of the…

离散数学 · 计算机科学 2007-08-10 M. A. Iwen

We initiate the study of the Interval Selection problem in the (streaming) sliding window model of computation. In this problem, an algorithm receives a potentially infinite stream of intervals on the line, and the objective is to maintain…

数据结构与算法 · 计算机科学 2024-11-13 Cezar-Mihail Alexandru , Christian Konrad

Deep Learning shows very good performance when trained on large labeled data sets. The problem of training a deep net on a few or one sample per class requires a different learning approach which can generalize to unseen classes using only…

机器学习 · 计算机科学 2018-08-23 Jinchao Liu , Stuart J. Gibson , Margarita Osadchy

In the online sorting problem, a sequence of $n$ numbers in $[0, 1]$ (including $\{0,1\}$) have to be inserted in an array of size $m \ge n$ so as to minimize the sum of absolute differences between pairs of numbers occupying consecutive…

数据结构与算法 · 计算机科学 2025-08-21 Yossi Azar , Debmalya Panigrahi , Or Vardi

The streaming model was introduced to parameterized complexity independently by Fafianie and Kratsch [MFCS14] and by Chitnis, Cormode, Hajiaghayi and Monemizadeh [SODA15]. Subsequently, it was broadened by Chitnis, Cormode, Esfandiari,…

数据结构与算法 · 计算机科学 2023-08-04 Daniel Lokshtanov , Pranabendu Misra , Fahad Panolan , M. S. Ramanujan , Saket Saurabh , Meirav Zehavi

We study deterministic algorithms for computing graph cuts, with focus on two fundamental problems: balanced sparse cut and $k$-vertex connectivity for small $k$ ($k=O(\polylog n)$). Both problems can be solved in near-linear time with…

数据结构与算法 · 计算机科学 2019-10-21 Yu Gao , Jason Li , Danupon Nanongkai , Richard Peng , Thatchaphol Saranurak , Sorrachai Yingchareonthawornchai

A conditional sampling oracle for a probability distribution D returns samples from the conditional distribution of D restricted to a specified subset of the domain. A recent line of work (Chakraborty et al. 2013 and Cannone et al. 2014)…

数据结构与算法 · 计算机科学 2016-08-18 Themistoklis Gouleakis , Christos Tzamos , Manolis Zampetakis

While in many graph mining applications it is crucial to handle a stream of updates efficiently in terms of {\em both} time and space, not much was known about achieving such type of algorithm. In this paper we study this issue for a…

数据结构与算法 · 计算机科学 2015-09-23 Sayan Bhattacharya , Monika Henzinger , Danupon Nanongkai , Charalampos E. Tsourakakis

We present a simple polylogarithmic-time deterministic distributed algorithm for network decomposition. This improves on a celebrated $2^{O(\sqrt{\log n})}$-time algorithm of Panconesi and Srinivasan [STOC'92] and settles a central and…

数据结构与算法 · 计算机科学 2020-05-12 Václav Rozhoň , Mohsen Ghaffari

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…

数据结构与算法 · 计算机科学 2026-01-30 Edith Cohen , Elena Gribelyuk , Jelani Nelson , Uri Stemmer

We present classical sublinear-time algorithms for solving low-rank linear systems of equations. Our algorithms are inspired by the HHL quantum algorithm for solving linear systems and the recent breakthrough by Tang of dequantizing the…

数据结构与算法 · 计算机科学 2018-11-13 Nai-Hui Chia , Han-Hsuan Lin , Chunhao Wang