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Fueled by massive data, important decision making is being automated with the help of algorithms, therefore, fairness in algorithms has become an especially important research topic. In this work, we design new streaming and distributed…

数据结构与算法 · 计算机科学 2020-02-25 Ashish Chiplunkar , Sagar Kale , Sivaramakrishnan Natarajan Ramamoorthy

Parameterized complexity attempts to give a more fine-grained analysis of the complexity of problems: instead of measuring the running time as a function of only the input size, we analyze the running time with respect to additional…

数据结构与算法 · 计算机科学 2019-11-22 Rajesh Chitnis , Graham Cormode

The authors have withdrawn this paper due to an error in the proof of Lemma 3.4. -------------------------------------------------------------------------------------------- The authors have withdrawn this paper due to an error in the proof…

计算复杂性 · 计算机科学 2020-04-22 Anay Mehrotra , Vibhor Porwal , Raghunath Tewari

We present a high-dimensional analysis of three popular algorithms, namely, Oja's method, GROUSE and PETRELS, for subspace estimation from streaming and highly incomplete observations. We show that, with proper time scaling, the…

机器学习 · 计算机科学 2019-01-30 Chuang Wang , Yonina C. Eldar , Yue M. Lu

Consider the following gap cycle counting problem in the streaming model: The edges of a $2$-regular $n$-vertex graph $G$ are arriving one-by-one in a stream and we are promised that $G$ is a disjoint union of either $k$-cycles or…

数据结构与算法 · 计算机科学 2021-04-20 Sepehr Assadi , Gillat Kol , Raghuvansh R. Saxena , Huacheng Yu

Big Data streams are being generated in a faster, bigger, and more commonplace. In this scenario, Hoeffding Trees are an established method for classification. Several extensions exist, including high-performing ensemble setups such as…

机器学习 · 计算机科学 2015-11-04 Diego Marrón , Jesse Read , Albert Bifet , Nacho Navarro

In the pattern matching with $d$ wildcards problem one is given a text $T$ of length $n$ and a pattern $P$ of length $m$ that contains $d$ wildcard characters, each denoted by a special symbol $'?'$. A wildcard character matches any other…

数据结构与算法 · 计算机科学 2020-01-01 Shay Golan , Tsvi Kopelowitz , Ely Porat

In this paper we investigate the existence of subexponential parameterized algorithms of three fundamental cycle-hitting problems in geometric graph classes. The considered problems, \textsc{Triangle Hitting} (TH), \textsc{Feedback Vertex…

数据结构与算法 · 计算机科学 2024-04-17 Gaétan Berthe , Marin Bougeret , Daniel Gonçalves , Jean-Florent Raymond

The maximum coverage problem is to select $k$ sets from a collection of sets such that the cardinality of the union of the selected sets is maximized. We consider $(1-1/e-\epsilon)$-approximation algorithms for this NP-hard problem in three…

数据结构与算法 · 计算机科学 2024-03-22 Amit Chakrabarti , Andrew McGregor , Anthony Wirth

We consider the classic Euclidean $k$-median and $k$-means objective on data streams, where the goal is to provide a $(1+\varepsilon)$-approximation to the optimal $k$-median or $k$-means solution, while using as little memory as possible.…

数据结构与算法 · 计算机科学 2023-10-05 Vincent Cohen-Addad , David P. Woodruff , Samson Zhou

One of the most fundamental tasks in data science is to assist a user with unknown preferences in finding high-utility tuples within a large database. To accurately elicit the unknown user preferences, a widely-adopted way is by asking the…

数据库 · 计算机科学 2023-07-07 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

We revisit one of the most basic and widely applicable techniques in the literature of differential privacy - the sparse vector technique [Dwork et al., STOC 2009]. This simple algorithm privately tests whether the value of a given query on…

机器学习 · 计算机科学 2020-11-17 Haim Kaplan , Yishay Mansour , Uri Stemmer

We develop a general framework to construct quantum algorithms that detect if a $3$-uniform hypergraph given as input contains a sub-hypergraph isomorphic to a prespecified constant-sized hypergraph. This framework is based on the concept…

量子物理 · 物理学 2016-05-25 François Le Gall , Harumichi Nishimura , Seiichiro Tani

Achieving a practical quantum speedup for deep neural networks (DNNs) remains a central yet elusive goal, hindered by the dual challenges of constructing deep architectures and the prohibitive overhead of data loading and measurement. We…

The Boolean Hidden Matching (BHM) problem, introduced in a seminal paper of Gavinsky et. al. [STOC'07], has played an important role in the streaming lower bounds for graph problems such as triangle and subgraph counting, maximum matching,…

数据结构与算法 · 计算机科学 2022-01-31 Michael Kapralov , Amulya Musipatla , Jakab Tardos , David P. Woodruff , Samson Zhou

Subgraph counting aims to count the number of occurrences of a subgraph T (aka as a template) in a given graph G. The basic problem has found applications in diverse domains. The problem is known to be computationally challenging - the…

分布式、并行与集群计算 · 计算机科学 2018-04-27 Langshi Chen , Bo Peng , Sabra Ossen , Anil Vullikanti , Madhav Marathe , Lei Jiang , Judy Qiu

The Hierarchical Clustering (HC) problem consists of building a hierarchy of clusters to represent a given dataset. Motivated by the modern large-scale applications, we study the problem in the \streaming model, in which the memory is…

数据结构与算法 · 计算机科学 2022-06-16 Sepehr Assadi , Vaggos Chatziafratis , Jakub Łącki , Vahab Mirrokni , Chen Wang

The convex hull of a set of points, $C$, serves to expose extremal properties of $C$ and can help identify elements in $C$ of high interest. For many problems, particularly in the presence of noise, the true vertex set (and facets) may be…

计算几何 · 计算机科学 2016-11-07 Lori Ziegelmeier , Michael Kirby , Chris Peterson

We study the $k$-connectivity augmentation problem ($k$-CAP) in the single-pass streaming model. Given a $(k-1)$-edge connected graph $G=(V,E)$ that is stored in memory, and a stream of weighted edges $L$ with weights in $\{0,1,\dots,W\}$,…

数据结构与算法 · 计算机科学 2024-02-19 Ce Jin , Michael Kapralov , Sepideh Mahabadi , Ali Vakilian

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
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