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A dataset is a shred of crucial evidence to describe a task. However, each data point in the dataset does not have the same potential, as some of the data points can be more representative or informative than others. This unequal importance…

Machine Learning · Computer Science 2022-03-21 Jaehong Yoon , Divyam Madaan , Eunho Yang , Sung Ju Hwang

Coreset selection is powerful in reducing computational costs and accelerating data processing for deep learning algorithms. It strives to identify a small subset from large-scale data, so that training only on the subset practically…

Machine Learning · Computer Science 2024-03-01 Xiaobo Xia , Jiale Liu , Shaokun Zhang , Qingyun Wu , Hongxin Wei , Tongliang Liu

The goal of coreset selection methods is to identify representative subsets of datasets for efficient model training. Yet, existing methods often ignore the possibility of annotation errors and require fixed pruning ratios, making them…

Contextual online decision-making problems with constraints appear in a wide range of real-world applications, such as adaptive experimental design under safety constraints, personalized recommendation with resource limits, and dynamic…

Machine Learning · Statistics 2025-05-23 Haichen Hu , David Simchi-Levi , Navid Azizan

The problem of model identification for linear systems is considered, using a finite set of sampled data affected by a bounded measurement noise, with unknown bound. The objective is to identify one-step-ahead models and their accuracy in…

Optimization and Control · Mathematics 2020-01-31 Marco Lauricella , Lorenzo Fagiano

This paper proposes a new robust data-driven control method for linear systems with bounded disturbances, where the system model and disturbances are unknown. Due to disturbances, accurately determining the true system becomes challenging…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Kaijian Hu , Tao Liu

With input sizes becoming massive, coresets -- small yet representative summary of the input -- are relevant more than ever. A weighted set $C_w$ that is a subset of the input is an $\varepsilon$-coreset if the cost of any feasible solution…

Data Structures and Algorithms · Computer Science 2020-09-29 Monika Henzinger , Sagar Kale

As deep learning models continue to scale, the growing computational demands have amplified the need for effective coreset selection techniques. Coreset selection aims to accelerate training by identifying small, representative subsets of…

Machine Learning · Computer Science 2025-11-24 Wei-Kai Chang , Rajiv Khanna

Deep Learning models have transformed various domains, including the healthcare sector, particularly biomedical image classification by learning intricate features and enabling accurate diagnostics pertaining to complex diseases. Recent…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Imran Ashraf , Mukhtar Ullah , Muhammad Faisal Nadeem , Muhammad Nouman Noor

Coresets have emerged as a powerful tool to summarize data by selecting a small subset of the original observations while retaining most of its information. This approach has led to significant computational speedups but the performance of…

Statistics Theory · Mathematics 2020-12-10 Paxton Turner , Jingbo Liu , Philippe Rigollet

VC-dimension and $\varepsilon$-nets are key concepts in Statistical Learning Theory. Intuitively, VC-dimension is a measure of the size of a class of sets. The famous $\varepsilon$-net theorem, a fundamental result in Discrete Geometry,…

Machine Learning · Computer Science 2024-10-10 Sujoy Bhore , Devdan Dey , Satyam Singh

In many machine learning tasks, a common approach for dealing with large-scale data is to build a small summary, {\em e.g.,} coreset, that can efficiently represent the original input. However, real-world datasets usually contain outliers…

Machine Learning · Computer Science 2022-01-24 Zixiu Wang , Yiwen Guo , Hu Ding

A coreset is a subset of the training set, using which a machine learning algorithm obtains performances similar to what it would deliver if trained over the whole original data. Coreset discovery is an active and open line of research as…

Machine Learning · Computer Science 2020-02-21 Pietro Barbiero , Giovanni Squillero , Alberto Tonda

For constrained linear systems with bounded disturbances and parametric uncertainty, we propose a robust adaptive model predictive control strategy with online parameter estimation. Constraints enforcing persistently exciting closed loop…

Optimization and Control · Mathematics 2023-03-08 Xiaonan Lu , Mark Cannon

This paper presents a novel data-driven, direct filtering approach for unknown linear time-invariant systems affected by unknown-but-bounded measurement noise. The proposed technique combines independent multistep prediction models,…

Optimization and Control · Mathematics 2020-08-28 Marco Lauricella , Lorenzo Fagiano

Coreset selection methods have shown promise in reducing the training data size while maintaining model performance for data-efficient machine learning. However, as many datasets suffer from biases that cause models to learn spurious…

Machine Learning · Computer Science 2025-10-22 Amaya Dharmasiri , William Yang , Polina Kirichenko , Lydia Liu , Olga Russakovsky

Rehearsal-based Continual Learning (CL) maintains a limited memory buffer to store replay samples for knowledge retention, making these approaches heavily reliant on the quality of the stored samples. Current Rehearsal-based CL methods…

Machine Learning · Computer Science 2025-11-13 Junqi Gao , Zhichang Guo , Dazhi Zhang , Yao Li , Yi Ran , Biqing Qi

This work investigates the sequential hypothesis testing problem with online sensor selection and sensor usage constraints. That is, in a sensor network, the fusion center sequentially acquires samples by selecting one "most informative"…

Applications · Statistics 2016-01-26 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu

A coreset for a set of points is a small subset of weighted points that approximately preserves important properties of the original set. Specifically, if $P$ is a set of points, $Q$ is a set of queries, and $f:P\times Q\to\mathbb{R}$ is a…

Data Structures and Algorithms · Computer Science 2022-09-20 Vladimir Braverman , Dan Feldman , Harry Lang , Adiel Statman , Samson Zhou

Coresets are small data summaries that are sufficient for model training. They can be maintained online, enabling efficient handling of large data streams under resource constraints. However, existing constructions are limited to simple…

Machine Learning · Computer Science 2020-10-23 Zalán Borsos , Mojmír Mutný , Andreas Krause
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