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We present a practical and powerful new framework for both unconstrained and constrained submodular function optimization based on discrete semidifferentials (sub- and super-differentials). The resulting algorithms, which repeatedly compute…

Data Structures and Algorithms · Computer Science 2013-08-13 Rishabh Iyer , Stefanie Jegelka , Jeff Bilmes

Submodular optimization has received significant attention in both practice and theory, as a wide array of problems in machine learning, auction theory, and combinatorial optimization have submodular structure. In practice, these problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-04 Paul Liu , Jan Vondrak

Opinion summarization is expected to digest larger review sets and provide summaries from different perspectives. However, most existing solutions are deficient in epitomizing extensive reviews and offering opinion summaries from various…

Computation and Language · Computer Science 2023-10-23 Han Jiang , Rui Wang , Zhihua Wei , Yu Li , Xinpeng Wang

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

Video summarisation can be posed as the task of extracting important parts of a video in order to create an informative summary of what occurred in the video. In this paper we introduce SummaryNet as a supervised learning framework for…

Computer Vision and Pattern Recognition · Computer Science 2020-02-24 Ziyad Jappie , David Torpey , Turgay Celik

The popularity of deep learning has led to the curation of a vast number of massive and multifarious datasets. Despite having close-to-human performance on individual tasks, training parameter-hungry models on large datasets poses…

Machine Learning · Computer Science 2023-09-27 Noveen Sachdeva , Julian McAuley

This paper addresses automatic summarization and search in visual data comprising of videos, live streams and image collections in a unified manner. In particular, we propose a framework for multi-faceted summarization which extracts…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Anurag Sahoo , Vishal Kaushal , Khoshrav Doctor , Suyash Shetty , Rishabh Iyer , Ganesh Ramakrishnan

In this paper, we develop the first one-pass streaming algorithm for submodular maximization that does not evaluate the entire stream even once. By carefully subsampling each element of data stream, our algorithm enjoys the tightest…

Machine Learning · Computer Science 2018-02-21 Moran Feldman , Amin Karbasi , Ehsan Kazemi

The aim of video summarization is to shorten videos automatically while retaining the key information necessary to convey the overall story. Video summarization methods mainly rely on visual factors, such as visual consecutiveness and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Jia-Hong Huang , Chao-Han Huck Yang , Pin-Yu Chen , Min-Hung Chen , Marcel Worring

A variety of large-scale machine learning problems can be cast as instances of constrained submodular maximization. Existing approaches for distributed submodular maximization have a critical drawback: The capacity - number of instances…

Machine Learning · Statistics 2016-06-01 Mario Lucic , Olivier Bachem , Morteza Zadimoghaddam , Andreas Krause

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…

Data Structures and Algorithms · Computer Science 2023-01-18 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis

The increasing availability of massive data sets poses a series of challenges for machine learning. Prominent among these is the need to learn models under hardware or human resource constraints. In such resource-constrained settings, a…

Machine Learning · Computer Science 2021-09-28 Zalán Borsos , Mojmír Mutný , Marco Tagliasacchi , Andreas Krause

We consider learning of submodular functions from data. These functions are important in machine learning and have a wide range of applications, e.g. data summarization, feature selection and active learning. Despite their combinatorial…

Machine Learning · Statistics 2018-06-18 Sebastian Tschiatschek , Aytunc Sahin , Andreas Krause

Robust optimization is becoming increasingly important in machine learning applications. In this paper, we study a unified framework of robust submodular optimization. We study this problem both from a minimization and maximization…

Machine Learning · Computer Science 2021-03-22 Rishabh Iyer

Deep Models are increasingly becoming prevalent in summarization problems (e.g. document, video and images) due to their ability to learn complex feature interactions and representations. However, they do not model characteristics such as…

Machine Learning · Computer Science 2020-10-20 Suraj Kothawade , Jiten Girdhar , Chandrashekhar Lavania , Rishabh Iyer

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…

Machine Learning · Computer Science 2015-02-10 Alina Ene , Huy L. Nguyen

We present a matrix-factorization algorithm that scales to input matrices with both huge number of rows and columns. Learned factors may be sparse or dense and/or non-negative, which makes our algorithm suitable for dictionary learning,…

Machine Learning · Statistics 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gael Varoquaux

Despite the rich existing literature about minimax optimization in continuous settings, only very partial results of this kind have been obtained for combinatorial settings. In this paper, we fill this gap by providing a characterization of…

Machine Learning · Computer Science 2023-05-29 Loay Mualem , Ethan R. Elenberg , Moran Feldman , Amin Karbasi

Maximizing a submodular function has a wide range of applications in machine learning and data mining. One such application is data summarization whose goal is to select a small set of representative and diverse data items from a large…

Machine Learning · Computer Science 2023-03-10 Jing Yuan , Shaojie Tang

We present a submodular function-based framework for query-focused opinion summarization. Within our framework, relevance ordering produced by a statistical ranker, and information coverage with respect to topic distribution and diverse…

Computation and Language · Computer Science 2016-06-21 Lu Wang , Hema Raghavan , Claire Cardie , Vittorio Castelli