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Model compression is essential for serving large deep neural nets on devices with limited resources or applications that require real-time responses. As a case study, a state-of-the-art neural language model usually consists of one or more…

Computation and Language · Computer Science 2018-06-20 Patrick H. Chen , Si Si , Yang Li , Ciprian Chelba , Cho-jui Hsieh

The amount of information in the form of features and variables avail- able to machine learning algorithms is ever increasing. This can lead to classifiers that are prone to overfitting in high dimensions, high di- mensional models do not…

Machine Learning · Computer Science 2014-02-12 Aaron Karper

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

For the problem of maximizing a monotone, submodular function with respect to a cardinality constraint $k$ on a ground set of size $n$, we provide an algorithm that achieves the state-of-the-art in both its empirical performance and its…

Data Structures and Algorithms · Computer Science 2024-08-20 Yixin Chen , Tonmoy Dey , Alan Kuhnle

We investigate the feature compression of high-dimensional ridge regression using the optimal subsampling technique. Specifically, based on the basic framework of random sampling algorithm on feature for ridge regression and the A-optimal…

Computation · Statistics 2022-04-19 Hanyu Li , Chengmei Niu

The maximization of submodular functions have found widespread application in areas such as machine learning, combinatorial optimization, and economics, where practitioners often wish to enforce various constraints; the matroid constraint…

Data Structures and Algorithms · Computer Science 2023-05-02 Monika Henzinger , Paul Liu , Jan Vondrak , Da Wei Zheng

Consider a multi-class labelling problem, where the labels can take values in $[k]$, and a predictor predicts a distribution over the labels. In this work, we study the following foundational question: Are there notions of multi-class…

Machine Learning · Computer Science 2024-06-11 Parikshit Gopalan , Lunjia Hu , Guy N. Rothblum

We study the problem of maximizing a monotone submodular function subject to a cardinality constraint $k$, with the added twist that a number of items $\tau$ from the returned set may be removed. We focus on the worst-case setting…

Machine Learning · Statistics 2017-06-16 Ilija Bogunovic , Slobodan Mitrović , Jonathan Scarlett , Volkan Cevher

Click-through rate prediction is one of the core tasks in commercial recommender systems. It aims to predict the probability of a user clicking a particular item given user and item features. As feature interactions bring in non-linearity,…

Machine Learning · Computer Science 2021-11-25 Fuyuan Lyu , Xing Tang , Huifeng Guo , Ruiming Tang , Xiuqiang He , Rui Zhang , Xue Liu

Motivated by applications in machine learning, such as subset selection and data summarization, we consider the problem of maximizing a monotone submodular function subject to mixed packing and covering constraints. We present a tight…

Data Structures and Algorithms · Computer Science 2018-12-20 Eyal Mizrachi , Roy Schwartz , Joachim Spoerhase , Sumedha Uniyal

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

Machine Learning · Statistics 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

Over the last three decades, researchers have intensively explored various clustering tools for categorical data analysis. Despite the proposal of various clustering algorithms, the classical k-modes algorithm remains a popular choice for…

Machine Learning · Computer Science 2023-10-10 Surya Teja Gavva , Karthik C. S. , Sharath Punna

Cross-modal hashing is a successful method to solve large-scale multimedia retrieval issue. A lot of matrix factorization-based hashing methods are proposed. However, the existing methods still struggle with a few problems, such as how to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Wenyun Li , Chi-Man Pun

Submodular maximization constitutes a prominent research topic in combinatorial optimization and theoretical computer science, with extensive applications across diverse domains. While substantial advancements have been achieved in…

Data Structures and Algorithms · Computer Science 2026-03-17 Shengminjie Chen , Yiwei Gao , Kaifeng Lin , Xiaoming Sun , Jialin Zhang

Maximizing a submodular function is a fundamental task in machine learning and in this paper we study the deletion robust version of the problem under the classic matroids constraint. Here the goal is to extract a small size summary of the…

Data Structures and Algorithms · Computer Science 2025-05-26 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Morteza Zadimoghaddam

We propose a simple and easy to implement neural network compression algorithm that achieves results competitive with more complicated state-of-the-art methods. The key idea is to modify the original optimization problem by adding K…

Machine Learning · Statistics 2018-06-15 Yibo Yang , Nicholas Ruozzi , Vibhav Gogate

The goal of lossy data compression is to reduce the storage cost of a data set $X$ while retaining as much information as possible about something ($Y$) that you care about. For example, what aspects of an image $X$ contain the most…

Machine Learning · Computer Science 2020-01-16 Max Tegmark , Tailin Wu

There exist many high-dimensional data in real-world applications such as biology, computer vision, and social networks. Feature selection approaches are devised to confront with high-dimensional data challenges with the aim of efficient…

Machine Learning · Computer Science 2021-06-22 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

With the extensive application of submodularity, its generalizations are constantly being proposed. However, most of them are tailored for special problems. In this paper, we focus on quasi-submodularity, a universal generalization, which…

Data Structures and Algorithms · Computer Science 2014-11-14 Jincheng Mei , Kang Zhao , Bao-Liang Lu

The "0-1 knapsack problem" stands as a classical combinatorial optimization conundrum, necessitating the selection of a subset of items from a given set. Each item possesses inherent values and weights, and the primary objective is to…

Neural and Evolutionary Computing · Computer Science 2024-02-20 Mohammad Saleh Vahdatpour
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