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Denoising Diffusion models are gaining increasing popularity in the field of generative modeling for several reasons, including the simple and stable training, the excellent generative quality, and the solid probabilistic foundation. In…

Computer Vision and Pattern Recognition · Computer Science 2023-01-19 Andrea Asperti , Davide Evangelista , Samuele Marro , Fabio Merizzi

Generalized linear model with $L_1$ and $L_2$ regularization is a widely used technique for solving classification, class probability estimation and regression problems. With the numbers of both features and examples growing rapidly in the…

Machine Learning · Statistics 2017-06-28 Ilya Trofimov , Alexander Genkin

In this work, we propose the Generative Latent Flow (GLF), an algorithm for generative modeling of the data distribution. GLF uses an Auto-encoder (AE) to learn latent representations of the data, and a normalizing flow to map the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Zhisheng Xiao , Qing Yan , Yali Amit

Modern deep generative models can now produce high-quality synthetic samples that are often indistinguishable from real training data. A growing body of research aims to understand why recent methods, such as diffusion and flow matching…

Machine Learning · Computer Science 2025-12-03 Quentin Bertrand , Anne Gagneux , Mathurin Massias , Rémi Emonet

Flow matching has emerged as a powerful framework for generative modeling through continuous normalizing flows. We investigate a potential topological constraint: when the prior distribution and target distribution have mismatched topology…

Machine Learning · Computer Science 2025-12-16 Congzhou M Sha

Inverse generation problems, such as denoising without ground truth observations, is a critical challenge in many scientific inquiries and real-world applications. While recent advances in generative models like diffusion models,…

Machine Learning · Computer Science 2025-02-18 Yuchen Zhang , Jian Zhou

Decentralized Diffusion Models (DDMs) route denoising through experts trained independently on disjoint data clusters, which can strongly disagree in their predictions. What governs the quality of generations in such systems? We present the…

Machine Learning · Computer Science 2026-03-12 Marcos Villagra , Bidhan Roy , Raihan Seraj , Zhiying Jiang

Diffusion models generalize well in practice. However, an optimal diffusion model fully memorizes the training data and therefore fails to generalize, raising the question of what induces generalization in a real diffusion model. We show…

Machine Learning · Computer Science 2026-05-21 Tim Kaiser , Markus Kollmann

We investigate a general matrix factorization for deviance-based data losses, extending the ubiquitous singular value decomposition beyond squared error loss. While similar approaches have been explored before, our method leverages…

Machine Learning · Statistics 2023-07-04 Liang Wang , Luis Carvalho

Data today is decentralized, generated and stored across devices and institutions where privacy, ownership, and regulation prevent centralization. This motivates the need to train generative models directly from distributed data locally…

Machine Learning · Computer Science 2025-09-26 Zifan Wang , Anqi Dong , Mahmoud Selim , Michael M. Zavlanos , Karl H. Johansson

Modeling transformations between arbitrary data distributions is a fundamental scientific challenge, arising in applications like drug discovery and evolutionary simulation. While flow matching offers a natural framework for this task, its…

Machine Learning · Computer Science 2025-10-09 Shiye Su , Yuhui Zhang , Linqi Zhou , Rajesh Ranganath , Serena Yeung-Levy

Diffusion-based models have shown great promise in molecular generation but often require a large number of sampling steps to generate valid samples. In this paper, we introduce a novel Straight-Line Diffusion Model (SLDM) to tackle this…

Machine Learning · Computer Science 2025-06-10 Yuyan Ni , Shikun Feng , Haohan Chi , Bowen Zheng , Huan-ang Gao , Wei-Ying Ma , Zhi-Ming Ma , Yanyan Lan

This study introduces the Misclassification Likelihood Matrix (MLM) as a novel tool for quantifying the reliability of neural network predictions under distribution shifts. The MLM is obtained by leveraging softmax outputs and clustering…

We conjecture that the inherent difference in generalisation between adaptive and non-adaptive gradient methods in deep learning stems from the increased estimation noise in the flattest directions of the true loss surface. We demonstrate…

Machine Learning · Statistics 2022-03-17 Diego Granziol , Nicholas Baskerville

Empirical studies suggest that machine learning models often rely on features, such as the background, that may be spuriously correlated with the label only during training time, resulting in poor accuracy during test-time. In this work, we…

Machine Learning · Computer Science 2024-09-10 Vaishnavh Nagarajan , Anders Andreassen , Behnam Neyshabur

Consistency Models (CM) (Song et al., 2023) accelerate score-based diffusion model sampling at the cost of sample quality but lack a natural way to trade-off quality for speed. To address this limitation, we propose Consistency Trajectory…

Pre-trained language models (PLMs) are trained on data that inherently contains gender biases, leading to undesirable impacts. Traditional debiasing methods often rely on external corpora, which may lack quality, diversity, or demographic…

Computation and Language · Computer Science 2025-03-13 Liu Yu , Ludie Guo , Ping Kuang , Fan Zhou

Discrete diffusion language models (dLLMs) provide a fast and flexible alternative to autoregressive models (ARMs) via iterative denoising with parallel updates. However, their evaluation is challenging: existing metrics conflate denoiser…

Machine Learning · Computer Science 2026-05-29 Luhan Tang , Longxuan Yu , Shaorong Zhang , Greg Ver Steeg

Reinforcement Learning (RL) has become the de facto standard for tuning LLMs to solve tasks involving reasoning. However, growing evidence shows that models trained in such way often suffer from a significant loss in diversity. We argue…

Machine Learning · Computer Science 2026-03-09 Germán Kruszewski , Pierre Erbacher , Jos Rozen , Marc Dymetman

Flow-based generative modeling in continuous spaces exploit Tweedie's formula to express the denoiser (learned in training) as a score function (used in sampling). In contrast, this relation has been largely missing in the discrete setting…

Machine Learning · Computer Science 2026-05-04 Yair Shenfeld , Ricardo Baptista , Stefano Peluchetti