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We develop a novel iterative algorithm for locally optimal experimental design under constraints, like budget or performance constraints. It is an adaptive discretization algorithm. In every iteration, a discretized version of the…

Optimization and Control · Mathematics 2026-04-21 Jochen Schmid , Philipp Seufert , Jan Schwientek , Tobias Seidel , Karl-Heinz Küfer

A discretization of a continuum theory with constraints or conserved quantities is called mimetic if it mirrors the conserved laws or constraints of the continuum theory at the discrete level. Such discretizations have been found useful in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Cayetano Di Bartolo , Rodolfo Gambini , Jorge Pullin

To get a good understanding of a dynamical system, it is convenient to have an interpretable and versatile model of it. Timed discrete event systems are a kind of model that respond to these requirements. However, such models can be…

Artificial Intelligence · Computer Science 2023-06-21 Lénaïg Cornanguer , Christine Largouët , Laurence Rozé , Alexandre Termier

The sensitivity metric in differential privacy, which is informally defined as the largest marginal change in output between neighboring databases, is of substantial significance in determining the accuracy of private data analyses.…

Data Structures and Algorithms · Computer Science 2019-01-24 Rachel Cummings , David Durfee

Dataset Distillation (DD) is a promising technique to synthesize a smaller dataset that preserves essential information from the original dataset. This synthetic dataset can serve as a substitute for the original large-scale one, and help…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Yao Lu , Jianyang Gu , Xuguang Chen , Saeed Vahidian , Qi Xuan

Wide adoption of artificial neural networks in various domains has led to an increasing interest in defending adversarial attacks against them. Preprocessing defense methods such as pixel discretization are particularly attractive in…

Cryptography and Security · Computer Science 2019-10-04 Jiefeng Chen , Xi Wu , Vaibhav Rastogi , Yingyu Liang , Somesh Jha

Deep learning demands a huge amount of well-labeled data to train the network parameters. How to use the least amount of labeled data to obtain the desired classification accuracy is of great practical significance, because for many…

Machine Learning · Computer Science 2019-12-20 Xiao Han , Zihao Wang , Enmei Tu , Gunnam Suryanarayana , Jie Yang

Subset selection algorithms are ubiquitous in AI-driven applications, including, online recruiting portals and image search engines, so it is imperative that these tools are not discriminatory on the basis of protected attributes such as…

Computers and Society · Computer Science 2021-02-23 Anay Mehrotra , L. Elisa Celis

In this paper, we consider differentially private classification when some features are sensitive, while the rest of the features and the label are not. We adapt the definition of differential privacy naturally to this setting. Our main…

Machine Learning · Computer Science 2023-12-14 Zeyu Shen , Anilesh Krishnaswamy , Janardhan Kulkarni , Kamesh Munagala

This paper studies the effect of discretizing the parametrization of a dictionary used for Matching Pursuit decompositions of signals. Our approach relies on viewing the continuously parametrized dictionary as an embedded manifold in the…

Differential Geometry · Mathematics 2009-11-13 Laurent Jacques , Christophe De Vleeschouwer

Numerous methods for crafting adversarial examples were proposed recently with high success rate. Since most existing machine learning based classifiers normalize images into some continuous, real vector, domain firstly, attacks often craft…

Machine Learning · Computer Science 2020-04-28 Lei Bu , Yuchao Duan , Fu Song , Zhe Zhao

In the past few decades, researchers have proposed many discriminant analysis (DA) algorithms for the study of high-dimensional data in a variety of problems. Most DA algorithms for feature extraction are based on transformations that…

Computer Vision and Pattern Recognition · Computer Science 2012-06-12 Ali Shadvar

Model distillation aims to distill the knowledge of a complex model into a simpler one. In this paper, we consider an alternative formulation called dataset distillation: we keep the model fixed and instead attempt to distill the knowledge…

Machine Learning · Computer Science 2020-02-26 Tongzhou Wang , Jun-Yan Zhu , Antonio Torralba , Alexei A. Efros

We focus in this paper on dataset reduction techniques for use in k-nearest neighbor classification. In such a context, feature and prototype selections have always been independently treated by the standard storage reduction algorithms.…

Machine Learning · Computer Science 2013-01-18 Marc Sebban , Richard Nock

A face image not only provides details about the identity of a subject but also reveals several attributes such as gender, race, sexual orientation, and age. Advancements in machine learning algorithms and popularity of sharing images on…

Computer Vision and Pattern Recognition · Computer Science 2018-10-01 Saheb Chhabra , Richa Singh , Mayank Vatsa , Gaurav Gupta

The superiorization methodology is intended to work with input data of constrained minimization problems, that is, a target function and a set of constraints. However, it is based on an antipodal way of thinking to what leads to constrained…

Optimization and Control · Mathematics 2020-10-26 Yair Censor , Edgar Garduño , Elias S. Helou , Gabor T. Herman

Dataset distillation methods have achieved remarkable success in distilling a large dataset into a small set of representative samples. However, they are not designed to produce a distilled dataset that can be effectively used for…

Machine Learning · Computer Science 2024-04-15 Dong Bok Lee , Seanie Lee , Joonho Ko , Kenji Kawaguchi , Juho Lee , Sung Ju Hwang

Domain generalization (DG) strives to address distribution shifts across diverse environments to enhance model's generalizability. Current DG approaches are confined to acquiring robust representations with continuous features, specifically…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Shaocong Long , Qianyu Zhou , Xikun Jiang , Chenhao Ying , Lizhuang Ma , Yuan Luo

Differential privacy is known to protect against threats to validity incurred due to adaptive, or exploratory, data analysis -- even when the analyst adversarially searches for a statistical estimate that diverges from the true value of the…

Cryptography and Security · Computer Science 2022-07-25 Elbert Du , Cynthia Dwork

Dataset distillation aims to generate compact synthetic datasets that enable models trained on them to achieve performance comparable to those trained on full real datasets, while substantially reducing storage and computational costs.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Xinhao Zhong , Shuoyang Sun , Xulin Gu , Chenyang Zhu , Bin Chen , Yaowei Wang
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