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Subsampling is an efficient method to deal with massive data. In this paper, we investigate the optimal subsampling for linear quantile regression when the covariates are functions. The asymptotic distribution of the subsampling estimator…

Numerical Analysis · Mathematics 2022-05-06 Qian Yan , Hanyu Li , Chengmei Niu

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

Structured pruning is an effective approach for compressing large pre-trained neural networks without significantly affecting their performance. However, most current structured pruning methods do not provide any performance guarantees, and…

Machine Learning · Computer Science 2023-02-14 Marwa El Halabi , Suraj Srinivas , Simon Lacoste-Julien

Submodular optimization has numerous applications such as crowdsourcing and viral marketing. In this paper, we study the fundamental problem of non-negative submodular function maximization subject to a $k$-system constraint, which…

Data Structures and Algorithms · Computer Science 2021-06-16 Kai Han , Shuang Cui , Tianshuai Zhu , Jing Tang , Benwei Wu , He Huang

Submodular functions are set functions mapping every subset of some ground set of size $n$ into the real numbers and satisfying the diminishing returns property. Submodular minimization is an important field in discrete optimization theory…

Data Structures and Algorithms · Computer Science 2020-01-16 Yassine Hamoudi , Patrick Rebentrost , Ansis Rosmanis , Miklos Santha

As computer resources become increasingly limited, traditional statistical methods face challenges in analyzing massive data, especially in functional data analysis. To address this issue, subsampling offers a viable solution by…

Methodology · Statistics 2024-07-01 Jingxiang Pan , Xiaohui Yuan , Xiaohui Yuan

Supervised machine learning based state-of-the-art computer vision techniques are in general data hungry and pose the challenges of not having adequate computing resources and of high costs involved in human labeling efforts. Training data…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Vishal Kaushal , Anurag Sahoo , Khoshrav Doctor , Narasimha Raju , Suyash Shetty , Pankaj Singh , Rishabh Iyer , Ganesh Ramakrishnan

Meta-learning (a.k.a. learning to learn) has recently emerged as a promising paradigm for a variety of applications. There are now many meta-learning methods, each focusing on different modeling aspects of base and meta learners, but all…

Machine Learning · Computer Science 2020-09-29 Yaohua Liu , Risheng Liu

We consider the problem of maximizing non-negative non-decreasing set functions. Although most of the recent work focus on exploiting submodularity, it turns out that several objectives we encounter in practice are not submodular.…

Data Structures and Algorithms · Computer Science 2018-06-19 Gaurav Gupta , Sergio Pequito , Paul Bogdan

Clustering with submodular functions has been of interest over the last few years. Symmetric submodular functions are of particular interest as minimizing them is significantly more efficient and they include many commonly used functions in…

Data Structures and Algorithms · Computer Science 2014-11-21 Amit Dhurandhar , Karthik Gurumoorthy

In this paper, we present a supervised learning approach to training submodular scoring functions for extractive multi-document summarization. By taking a structured predicition approach, we provide a large-margin method that directly…

Artificial Intelligence · Computer Science 2011-10-14 Ruben Sipos , Pannaga Shivaswamy , Thorsten Joachims

Large-scale datasets have been pivotal to the advancements of deep learning models in recent years, but training on such large datasets invariably incurs substantial storage and computational overhead. Meanwhile, real-world datasets often…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Suorong Yang , Peng Ye , Wanli Ouyang , Dongzhan Zhou , Furao Shen

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

We study two mixed robust/average-case submodular partitioning problems that we collectively call Submodular Partitioning. These problems generalize both purely robust instances of the problem (namely max-min submodular fair allocation…

Data Structures and Algorithms · Computer Science 2016-08-17 Kai Wei , Rishabh Iyer , Shengjie Wang , Wenruo Bai , Jeff Bilmes

Collecting more diverse and representative training data is often touted as a remedy for the disparate performance of machine learning predictors across subpopulations. However, a precise framework for understanding how dataset properties…

Machine Learning · Computer Science 2021-06-08 Esther Rolf , Theodora Worledge , Benjamin Recht , Michael I. Jordan

This work explores the novel idea of learning a submodular scoring function to improve the specificity/selectivity of existing feature attribution methods. Submodular scores are natural for attribution as they are known to accurately model…

Machine Learning · Computer Science 2022-02-23 Piyushi Manupriya , Tarun Ram Menta , J. Saketha Nath , Vineeth N Balasubramanian

Submodular optimization with bandit feedback has recently been studied in a variety of contexts. In a number of real-world applications such as diversified recommender systems and data summarization, the submodular function exhibits…

Machine Learning · Computer Science 2024-07-04 Wenjing Chen , Victoria G. Crawford

We are motivated by large scale submodular optimization problems, where standard algorithms that treat the submodular functions in the \emph{value oracle model} do not scale. In this paper, we present a model called the…

Machine Learning · Computer Science 2019-02-28 Rishabh Iyer , Jeff Bilmes

Submodular maximization is a classic algorithmic problem with multiple applications in data mining and machine learning; there, the growing need to deal with massive instances motivates the design of algorithms balancing the quality of the…

Data Structures and Algorithms · Computer Science 2024-02-20 Georgios Amanatidis , Federico Fusco , Philip Lazos , Stefano Leonardi , Alberto Marchetti Spaccamela , Rebecca Reiffenhäuser

As evolutionary algorithms (EAs) are general-purpose optimization algorithms, recent theoretical studies have tried to analyze their performance for solving general problem classes, with the goal of providing a general theoretical…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian