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Despite a surge of interest in submodular maximization in the data stream model, there remain significant gaps in our knowledge about what can be achieved in this setting, especially when dealing with multiple constraints. In this work, we…

Data Structures and Algorithms · Computer Science 2022-04-12 Moran Feldman , Ashkan Norouzi-Fard , Ola Svensson , Rico Zenklusen

We study the canonical problem of maximizing a stochastic submodular function subject to a cardinality constraint, where the goal is to select a subset from a ground set of items with uncertain individual performances to maximize their…

Data Structures and Algorithms · Computer Science 2019-05-10 Shreyas Sekar , Milan Vojnovic , Se-Young Yun

We present the first feasible method for sampling a dynamic data stream with deletions, where the sample consists of pairs $(k,C_k)$ of a value $k$ and its exact total count $C_k$. Our algorithms are for both Strict Turnstile data streams…

Data Structures and Algorithms · Computer Science 2012-09-26 Neta Barkay , Ely Porat , Bar Shalem

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

Due to the recent cases of algorithmic bias in data-driven decision-making, machine learning methods are being put under the microscope in order to understand the root cause of these biases and how to correct them. Here, we consider a basic…

Machine Learning · Computer Science 2016-10-25 L. Elisa Celis , Amit Deshpande , Tarun Kathuria , Nisheeth K. Vishnoi

Exploring statistics of locally connected subgraph patterns (also known as network motifs) has helped researchers better understand the structure and function of biological and online social networks (OSNs). Nowadays the massive size of…

Social and Information Networks · Computer Science 2014-03-28 Pinghui Wang , John C. S. Lui , Bruno Ribeiro , Don Towsley , Junzhou Zhao , Xiaohong Guan

Subsampling from a large data set is useful in many supervised learning contexts to provide a global view of the data based on only a fraction of the observations. Diverse (or space-filling) subsampling is an appealing subsampling approach…

Methodology · Statistics 2023-11-27 Boyang Shang , Daniel W. Apley , Sanjay Mehrotra

We consider the problem of maximizing a non-negative submodular function under the $b$-matching constraint, in the semi-streaming model. When the function is linear, monotone, and non-monotone, we obtain the approximation ratios of…

Data Structures and Algorithms · Computer Science 2022-01-11 Chien-Chung Huang , François Sellier

Submodular optimization is a fundamental problem with many applications in machine learning, often involving decision-making over datasets with sensitive attributes such as gender or age. In such settings, it is often desirable to produce a…

Machine Learning · Computer Science 2024-07-09 Wenjing Chen , Shuo Xing , Samson Zhou , Victoria G. Crawford

Problems involving the efficient arrangement of simple objects, as captured by bin packing and makespan scheduling, are fundamental tasks in combinatorial optimization. These are well understood in the traditional online and offline cases,…

Data Structures and Algorithms · Computer Science 2026-01-27 Graham Cormode , Pavel Veselý

Clustering is a well-studied unsupervised learning task that aims to partition data points into a number of clusters. In many applications, these clusters correspond to real-world constructs (e.g., electoral districts, playlists, TV…

Optimization and Control · Mathematics 2025-09-25 Connor Lawless , Oktay Gunluk

We study the problem of computing an approximate maximum cardinality matching in the semi-streaming model when edges arrive in a \emph{random} order. In the semi-streaming model, the edges of the input graph G = (V,E) are given as a stream…

Data Structures and Algorithms · Computer Science 2020-05-04 Aaron Bernstein

We present a deterministic $(1+\varepsilon)$-approximate maximum matching algorithm in $\mathsf{poly} 1/\varepsilon$ passes in the semi-streaming model, solving the long-standing open problem of breaking the exponential barrier in the…

Data Structures and Algorithms · Computer Science 2024-04-03 Manuela Fischer , Slobodan Mitrović , Jara Uitto

We present a simple deterministic single-pass $(2+\epsilon)$-approximation algorithm for the maximum weight matching problem in the semi-streaming model. This improves upon the currently best known approximation ratio of $(4+\epsilon)$. Our…

Data Structures and Algorithms · Computer Science 2018-11-07 Ami Paz , Gregory Schwartzman

In this paper, we revisit the problem of influence maximization with fairness, which aims to select k influential nodes to maximise the spread of information in a network, while ensuring that selected sensitive user attributes are fairly…

Social and Information Networks · Computer Science 2023-06-07 Yuting Feng , Ankitkumar Patel , Bogdan Cautis , Hossein Vahabi

We consider elections where the voters come one at a time, in a streaming fashion, and devise space-efficient algorithms which identify an approximate winning committee with respect to common multiwinner proportional representation voting…

Computer Science and Game Theory · Computer Science 2017-03-01 Palash Dey , Nimrod Talmon , Otniel van Handel

A semi-streaming algorithm in dynamic graph streams processes any $n$-vertex graph by making one or multiple passes over a stream of insertions and deletions to edges of the graph and using $O(n \cdot \mbox{polylog}(n))$ space.…

Data Structures and Algorithms · Computer Science 2024-07-31 Sepehr Assadi , Soheil Behnezhad , Christian Konrad , Kheeran K. Naidu , Janani Sundaresan

We introduce the problem of maximizing approximately $k$-submodular functions subject to size constraints. In this problem, one seeks to select $k$-disjoint subsets of a ground set with bounded total size or individual sizes, and maximum…

Data Structures and Algorithms · Computer Science 2021-01-19 Leqian Zheng , Hau Chan , Grigorios Loukides , Minming Li

In this paper we present improved bounds for approximating maximum matchings in bipartite graphs in the streaming model. First, we consider the question of how well maximum matching can be approximated in a single pass over the input using…

Data Structures and Algorithms · Computer Science 2021-03-18 Michael Kapralov

We define a new class of set functions that in addition to being monotone and subadditive, also admit a very limited form of submodularity defined over a permutation of the ground set. We refer to this permutation as a submodular order.…

Optimization and Control · Mathematics 2024-03-01 Rajan Udwani