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Related papers: TUBE: Tangent Upper Bound on Evidence for Discrete…

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Many crucial problems in deep learning and statistical inference are caused by a variational gap, i.e., a difference between model evidence (log-likelihood) and evidence lower bound (ELBO). In particular, in a classical VAE setting that…

Machine Learning · Computer Science 2025-03-06 Łukasz Struski , Marcin Mazur , Paweł Batorski , Przemysław Spurek , Jacek Tabor

Discrete diffusion models have emerged as a powerful class of models and a promising route to fast language generation, but practical implementations typically rely on factored reverse transitions ignoring cross-token dependencies and…

Machine Learning · Computer Science 2026-05-14 Dario Shariatian , Alain Durmus , Umut Simsekli , Stefano Peluchetti

Diffusion-based generative models have demonstrated a capacity for perceptually impressive synthesis, but can they also be great likelihood-based models? We answer this in the affirmative, and introduce a family of diffusion-based…

Machine Learning · Computer Science 2023-04-17 Diederik P. Kingma , Tim Salimans , Ben Poole , Jonathan Ho

Diffusion probabilistic models have achieved mainstream success in many generative modeling tasks, from image generation to inverse problem solving. A distinct feature of these models is that they correspond to deep hierarchical latent…

Machine Learning · Computer Science 2024-12-30 Yibo Yang , Justus C. Will , Stephan Mandt

Discrete diffusion has recently emerged as a promising paradigm in discrete data modeling. However, existing methods typically rely on a fixed rate transition matrix during training, which not only limits the expressiveness of latent…

Machine Learning · Computer Science 2025-05-27 Hengli Li , Yuxuan Wang , Song-Chun Zhu , Ying Nian Wu , Zilong Zheng

Masked diffusion models (MDMs) generate text by iteratively selecting positions to unmask and then predicting tokens at those positions. Yet MDMs lack proper likelihood evaluation: the evidence lower bound (ELBO) is not only a loose bound…

Machine Learning · Computer Science 2026-03-11 Gilad Turok , Chris De Sa , Volodymyr Kuleshov

Recent work in unsupervised representation learning has focused on learning deep directed latent-variable models. Fitting these models by maximizing the marginal likelihood or evidence is typically intractable, thus a common approximation…

Machine Learning · Computer Science 2018-02-15 Alexander A. Alemi , Ben Poole , Ian Fischer , Joshua V. Dillon , Rif A. Saurous , Kevin Murphy

Diffusion-based generative models have achieved promising results recently, but raise an array of open questions in terms of conceptual understanding, theoretical analysis, algorithm improvement and extensions to discrete, structured,…

Machine Learning · Computer Science 2022-09-01 Xingchao Liu , Lemeng Wu , Mao Ye , Qiang Liu

Diffusion models are one of the most important families of deep generative models. In this note, we derive a quantitative upper bound on the Wasserstein distance between the data-generating distribution and the distribution learned by a…

Machine Learning · Computer Science 2024-09-17 Sokhna Diarra Mbacke , Omar Rivasplata

Diffusion models have emerged as a powerful paradigm for modern generative modeling, demonstrating strong potential for large language models (LLMs). Unlike conventional autoregressive (AR) models that generate tokens sequentially,…

Machine Learning · Computer Science 2026-01-09 Gen Li , Changxiao Cai

Diffusion Language Models (DLMs) have recently emerged as a strong alternative to autoregressive language models (LMs). DLMs offer comparable accuracy with faster inference speed via parallel decoding. However, standard DLM decoding…

Machine Learning · Computer Science 2025-11-27 Hengyu Fu , Baihe Huang , Virginia Adams , Charles Wang , Venkat Srinivasan , Jiantao Jiao

In this paper, we propose a new upper bound on the error probability performance of maximum-likelihood (ML) detection. The proposed approach provides a much tighter upper bound when compared to the traditionally used union bound, especially…

Information Theory · Computer Science 2022-08-01 Tian Han , Rajitha Senanayake , Peter Smith , Jamie Evans

Evaluating large language models (LLMs) today rests on fixed benchmarks that apply the same set of items to any model, producing ceiling and floor effects that mask capability gaps. We argue that the most informative evaluation signal lies…

Artificial Intelligence · Computer Science 2026-05-27 Haoxiang Wang , Da Yu , Huishuai Zhang

Despite a growing interest in diffusion-based language models, existing work has not shown that these models can attain nontrivial likelihoods on standard language modeling benchmarks. In this work, we take the first steps towards closing…

Computation and Language · Computer Science 2023-05-31 Ishaan Gulrajani , Tatsunori B. Hashimoto

Diffusion language models (DLMs) enable parallel, order-agnostic generation with iterative refinement, offering a flexible alternative to autoregressive large language models (LLMs). However, adapting reinforcement learning (RL) fine-tuning…

Machine Learning · Computer Science 2026-02-12 Kevin Rojas , Jiahe Lin , Kashif Rasul , Anderson Schneider , Yuriy Nevmyvaka , Molei Tao , Wei Deng

We introduce MUSE, a watermarking algorithm for tabular generative models. Previous approaches typically leverage DDIM invertibility to watermark tabular diffusion models, but tabular diffusion models exhibit significantly poorer…

Cryptography and Security · Computer Science 2025-06-02 Liancheng Fang , Aiwei Liu , Henry Peng Zou , Yankai Chen , Hengrui Zhang , Zhongfen Deng , Philip S. Yu

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

Machine Learning · Statistics 2025-12-18 Hugo Lavenant , Giacomo Zanella

Diffusion models have gained traction as powerful algorithms for synthesizing high-quality images. Central to these algorithms is the diffusion process, a set of equations which maps data to noise in a way that can significantly affect…

Machine Learning · Computer Science 2024-11-12 Subham Sekhar Sahoo , Aaron Gokaslan , Chris De Sa , Volodymyr Kuleshov

Masked diffusion models have recently emerged as a flexible framework for discrete generative modeling. However, a key limitation of standard masked diffusion is its inability to effectively capture dependencies among tokens that are…

Machine Learning · Computer Science 2025-10-28 Yichi Zhang , Alex Schwing , Zhizhen Zhao

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
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