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Generative Adversarial Networks are a popular method for learning distributions from data by modeling the target distribution as a function of a known distribution. The function, often referred to as the generator, is optimized to minimize…

Machine Learning · Computer Science 2021-11-03 Daria Reshetova , Yikun Bai , Xiugang Wu , Ayfer Ozgur

Diffusion models accomplish remarkable success in data generation tasks across various domains. However, the iterative sampling process is computationally expensive. Consistency models are proposed to learn consistency functions to map from…

Machine Learning · Computer Science 2025-05-07 Yiding Chen , Yiyi Zhang , Owen Oertell , Wen Sun

Defining meaningful distances between samples in a dataset is a fundamental problem in machine learning. Optimal Transport (OT) lifts a distance between features (the "ground metric") to a geometrically meaningful distance between samples.…

Machine Learning · Statistics 2022-07-20 Geert-Jan Huizing , Laura Cantini , Gabriel Peyré

We present a novel computational framework for density control in high-dimensional state spaces. The considered dynamical system consists of a large number of indistinguishable agents whose behaviors can be collectively modeled as a…

Optimization and Control · Mathematics 2023-07-26 Shaojun Ma , Mengxue Hou , Xiaojing Ye , Haomin Zhou

Many machine learning problems can be seen as approximating a \textit{target} distribution using a \textit{particle} distribution by minimizing their statistical discrepancy. Wasserstein Gradient Flow can move particles along a path that…

Machine Learning · Statistics 2024-06-07 Song Liu , Jiahao Yu , Jack Simons , Mingxuan Yi , Mark Beaumont

Diffusion models can unintentionally memorize training samples, raising concerns about privacy and copyright. While recent methods can detect memorization, they often rely on global or model-specific signals and provide limited insight into…

Machine Learning · Computer Science 2026-05-29 Gwangho Kim , Sungyoon Lee

We propose to align distributional data from the perspective of Wasserstein means. We raise the problem of regularizing Wasserstein means and propose several terms tailored to tackle different problems. Our formulation is based on the…

Machine Learning · Computer Science 2020-02-24 Liang Mi , Wen Zhang , Yalin Wang

Learning deep discrete latent presentations offers a promise of better symbolic and summarized abstractions that are more useful to subsequent downstream tasks. Inspired by the seminal Vector Quantized Variational Auto-Encoder (VQ-VAE),…

Machine Learning · Computer Science 2023-06-21 Tung-Long Vuong , Trung Le , He Zhao , Chuanxia Zheng , Mehrtash Harandi , Jianfei Cai , Dinh Phung

Distributed systems frequently encounter consistency violation faults (cvfs), where nodes operate on outdated or inaccurate data, adversely affecting convergence and overall system performance. This study presents a machine learning-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-04 Kamal Giri , Amit Garu

We propose a methodology for intercomparing climate models and evaluating their performance against benchmarks based on the use of the Wasserstein distance (WD). This distance provides a rigorous way to measure quantitatively the difference…

Atmospheric and Oceanic Physics · Physics 2020-11-16 Gabriele Vissio , Valerio Lembo , Valerio Lucarini , Michael Ghil

We present a Distributionally Robust Optimization (DRO) approach to estimate a robustified regression plane in a linear regression setting, when the observed samples are potentially contaminated with adversarially corrupted outliers. Our…

Machine Learning · Statistics 2018-05-14 Ruidi Chen , Ioannis Ch. Paschalidis

Vector Quantization (VQ) has become the cornerstone of tokenization for many multimodal Large Language Models and diffusion synthesis. However, existing VQ paradigms suffer from a fundamental conflict: they enforce discretization before the…

Machine Learning · Computer Science 2026-03-25 Wenhao Zhao , Qiran Zou , Zhouhan Lin , Dianbo Liu

Model merging enables efficient multi-task models by combining task-specific fine-tuned checkpoints. However, storing multiple task-specific checkpoints requires significant memory, limiting scalability and restricting model merging to…

Machine Learning · Computer Science 2025-08-08 Youngeun Kim , Seunghwan Lee , Aecheon Jung , Bogon Ryu , Sungeun Hong

Text-to-image diffusion models have emerged as a powerful framework for high-quality image generation given textual prompts. Their success has driven the rapid development of production-grade diffusion models that consistently increase in…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Vage Egiazarian , Denis Kuznedelev , Anton Voronov , Ruslan Svirschevski , Michael Goin , Daniil Pavlov , Dan Alistarh , Dmitry Baranchuk

Distributionally robust optimization has emerged as an attractive way to train robust machine learning models, capturing data uncertainty and distribution shifts. Recent statistical analyses have proved that generalization guarantees of…

Optimization and Control · Mathematics 2025-01-28 Tam Le , Jérôme Malick

This paper addresses a new active learning strategy for regression problems. The presented Wasserstein active regression model is based on the principles of distribution-matching to measure the representativeness of the labeled dataset. The…

Machine Learning · Computer Science 2024-03-25 Benjamin Bobbia , Matthias Picard

Quantization is one of the most effective methods to compress neural networks, which has achieved great success on convolutional neural networks (CNNs). Recently, vision transformers have demonstrated great potential in computer vision.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Zhihang Yuan , Chenhao Xue , Yiqi Chen , Qiang Wu , Guangyu Sun

It has been shown that instead of learning actual object features, deep networks tend to exploit non-robust (spurious) discriminative features that are shared between training and test sets. Therefore, while they achieve state of the art…

Machine Learning · Statistics 2019-11-19 Devansh Arpit , Caiming Xiong , Richard Socher

Fast computation of a matrix product $W^\top X$ is a workhorse of modern LLMs. To make their deployment more efficient, a popular approach is that of using a low-precision approximation $\widehat W$ in place of true $W$ ("weight-only…

Information Theory · Computer Science 2026-02-06 Alina Harbuzova , Or Ordentlich , Yury Polyanskiy

For many applications of probabilistic classifiers it is important that the predicted confidence vectors reflect true probabilities (one says that the classifier is calibrated). It has been shown that common models fail to satisfy this…

Machine Learning · Statistics 2022-10-10 Michael Panchenko , Anes Benmerzoug , Miguel de Benito Delgado
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