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In this paper, we analyze posterior consistency of a Bayesian data assimilation problem under discretization. We prove convergence rates for the discrete posterior to ground truth solution under both conforming discretization and finite…

Numerical Analysis · Mathematics 2025-06-18 Erik Burman , Mingfei Lu

Current literature on posterior approximation for Bayesian inference offers many alternative methods. Does our chosen approximation scheme work well on the observed data? The best existing generic diagnostic tools treating this kind of…

Computation · Statistics 2020-06-22 Hanwen Xing , Geoff K. Nicholls , Jeong Eun Lee

Dataset distillation has emerged as a promising approach in deep learning, enabling efficient training with small synthetic datasets derived from larger real ones. Particularly, distribution matching-based distillation methods attract…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Wenxiao Deng , Wenbin Li , Tianyu Ding , Lei Wang , Hongguang Zhang , Kuihua Huang , Jing Huo , Yang Gao

Recent studies have highlighted the benefits of generating multiple synthetic datasets for supervised learning, from increased accuracy to more effective model selection and uncertainty estimation. These benefits have clear empirical…

Machine Learning · Computer Science 2025-04-28 Ossi Räisä , Antti Honkela

Dataset distillation, which condenses large-scale datasets into compact synthetic representations, has emerged as a critical solution for training modern deep learning models efficiently. While prior surveys focus on developments before…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Ping Liu , Jiawei Du

Despite the perceived success of large-scale dataset distillation (DD) methods, recent evidence finds that simple random image baselines perform on-par with state-of-theart DD methods like SRe2L due to the use of soft labels during…

Machine Learning · Computer Science 2026-04-22 Priyam Dey , Aditya Sahdev , Sunny Bhati , Konda Reddy Mopuri , R. Venkatesh Babu

Dataset distillation offers a potential means to enhance data efficiency in deep learning. Recent studies have shown its ability to counteract backdoor risks present in original training samples. In this study, we delve into the theoretical…

Machine Learning · Computer Science 2025-06-03 Ming-Yu Chung , Sheng-Yen Chou , Chia-Mu Yu , Pin-Yu Chen , Sy-Yen Kuo , Tsung-Yi Ho

We study the problem of dataset distillation - creating a small set of synthetic examples capable of training a good model. In particular, we study the problem of label distillation - creating synthetic labels for a small set of real…

Machine Learning · Computer Science 2020-12-15 Ondrej Bohdal , Yongxin Yang , Timothy Hospedales

The recent introduction of diffusion models in dataset distillation has shown promising potential in creating compact surrogate datasets for large, high-resolution target datasets, offering improved efficiency and performance over…

Computer Vision and Pattern Recognition · Computer Science 2025-07-10 Haoxuan Wang , Zhenghao Zhao , Junyi Wu , Yuzhang Shang , Gaowen Liu , Yan Yan

Safe and reliable disclosure of information from confidential data is a challenging statistical problem. A common approach considers the generation of synthetic data, to be disclosed instead of the original data. Efficient approaches ought…

Methodology · Statistics 2024-03-04 Larissa N. A. Martins , Flávio B. Gonçalves , Thais P. Galletti

Recursive Bayesian inference, in which posterior beliefs are updated in light of accumulating data, is a tool for implementing Bayesian models in applications with streaming and/or very large data sets. As the posterior of one iteration…

Methodology · Statistics 2025-08-05 Henry R. Scharf

Differential privacy guarantees allow the results of a statistical analysis involving sensitive data to be released without compromising the privacy of any individual taking part. Achieving such guarantees generally requires the injection…

Machine Learning · Statistics 2023-10-31 Jack Jewson , Sahra Ghalebikesabi , Chris Holmes

Dataset distillation compresses a large real dataset into a small synthetic one, enabling models trained on the synthetic data to achieve performance comparable to those trained on the real data. Although synthetic datasets are assumed to…

Cryptography and Security · Computer Science 2026-03-03 Huajie Chen , Tianqing Zhu , Yuchen Zhong , Yang Zhang , Shang Wang , Feng He , Lefeng Zhang , Jialiang Shen , Minghao Wang , Wanlei Zhou

Modern machine learning models heavily rely on large datasets that often include sensitive and private information, raising serious privacy concerns. Differentially private (DP) data generation offers a solution by creating synthetic…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Runkai Zheng , Vishnu Asutosh Dasu , Yinong Oliver Wang , Haohan Wang , Fernando De la Torre

Bayesian optimal experimental design provides a principled framework for selecting experimental settings that maximize obtained information. In this work, we focus on estimating the expected information gain in the setting where the…

Machine Learning · Statistics 2025-10-02 Chuntao Chen , Tapio Helin , Nuutti Hyvönen , Yuya Suzuki

Training large AI models typically requires large-scale datasets in the machine learning process, making training and parameter-tuning process both time-consuming and costly. Some researchers address this problem by carefully synthesizing a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Jiyuan Shen , Wenzhuo Yang , Kwok-Yan Lam

Bayesian statistics is concerned with conducting posterior inference for the unknown quantities in a given statistical model. Conventional Bayesian inference requires the specification of a probabilistic model for the observed data, and the…

Methodology · Statistics 2023-05-11 David T. Frazier , Christopher Drovandi , David J. Nott

A \emph{strong coreset} for the mean queries of a set $P$ in ${\mathbb{R}}^d$ is a small weighted subset $C\subseteq P$, which provably approximates its sum of squared distances to any center (point) $x\in {\mathbb{R}}^d$. A \emph{weak…

Machine Learning · Computer Science 2021-11-05 Alaa Maalouf , Ibrahim Jubran , Dan Feldman

Bayesian hierarchical Poisson models are an essential tool for analyzing count data. However, designing efficient algorithms to sample from the posterior distribution of the target parameters remains a challenging task for this class of…

Methodology · Statistics 2025-02-10 Aldo Gardini , Fedele Greco , Carlo Trivisano

Dataset distillation (DD) compresses a large training set into a small synthetic set for efficient training, but most DD methods optimize only clean accuracy and leave robustness uncontrolled. Recent robust DD methods improve robustness,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Muquan Li , Yingyi Ma , Yihong Huang , Hang Gou , Ke Qin , Ming Li , Yuan-Fang Li , Tao He