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Masked diffusion models (MDMs) have achieved notable progress in modeling discrete data, while their potential in molecular generation remains underexplored. In this work, we explore their potential and introduce the surprising result that…

Machine Learning · Computer Science 2025-09-29 Hyunjin Seo , Taewon Kim , Sihyun Yu , SungSoo Ahn

Masked diffusion models (MDMs) have recently emerged as a novel framework for language modeling. MDMs generate sentences by iteratively denoising masked sequences, filling in [MASK] tokens step by step. Although MDMs support any-order…

Machine Learning · Computer Science 2026-02-27 Chunsan Hong , Seonho An , Min-Soo Kim , Jong Chul Ye

Masked Diffusion Models (MDMs) have emerged as a promising non-autoregressive paradigm for generative tasks, offering parallel decoding and bidirectional context utilization. However, current sampling methods rely on simple confidence-based…

Machine Learning · Computer Science 2026-02-12 Shreshth Saini , Avinab Saha , Balu Adsumilli , Neil Birkbeck , Yilin Wang , Alan C. Bovik

When a statistical model $\{P_{\theta} : \theta \in \Theta\}$ lacks analytically tractable likelihoods, parametric statistical inference based on data generated from an unknown underlying distribution $P$ can still be performed as long as…

Methodology · Statistics 2026-05-19 Peter Matthew Jacobs , Lekha Patel , Anirban Bhattacharya , Debdeep Pati

Diffusion Language Models (DLMs) offer a promising alternative for language modeling by enabling parallel decoding through iterative refinement. However, most DLMs rely on hard binary masking and discrete token assignments, which hinder the…

Computation and Language · Computer Science 2026-01-19 Linhao Zhong , Linyu Wu , Bozhen Fang , Tianjian Feng , Chenchen Jing , Wen Wang , Jiaheng Zhang , Hao Chen , Chunhua Shen

Under strictly controlled pre-training settings, we observe a Crossover: when unique data is limited, diffusion language models (DLMs) consistently surpass autoregressive (AR) models by training for more epochs. The crossover shifts later…

Machine Learning · Computer Science 2025-11-06 Jinjie Ni , Qian Liu , Longxu Dou , Chao Du , Zili Wang , Hang Yan , Tianyu Pang , Michael Qizhe Shieh

Latent diffusion models (LDMs) achieve state-of-the-art performance across various tasks, including image generation and video synthesis. However, they generally lack robustness, a limitation that remains not fully explored in current…

Machine Learning · Computer Science 2025-06-10 Boris Martirosyan , Alexey Karmanov

Discrete diffusion models are increasingly competitive for language modeling, yet it remains unclear how their denoising objectives organize learning. Although these objectives target the full data distribution, we show that the exact…

Machine Learning · Computer Science 2026-05-15 Adrian Müller , Antoine Gonon , Zebang Shen , Ya-Ping Hsieh , Niao He

We present a masked diffusion language modeling framework for data-efficient training for the BabyLM 2025 Challenge. Our approach applies diffusion training objectives to language modeling under strict data constraints, incorporating…

Computation and Language · Computer Science 2025-09-08 Despoina Kosmopoulou , Efthymios Georgiou , Vaggelis Dorovatas , Georgios Paraskevopoulos , Alexandros Potamianos

The transition density of a diffusion process does not admit an explicit expression in general, which prevents the full maximum likelihood estimation (MLE) based on discretely observed sample paths. A\"{\i}t-Sahalia [J. Finance 54 (1999)…

Statistics Theory · Mathematics 2012-03-12 Jinyuan Chang , Song Xi Chen

Maximum likelihood estimation (MLE) is a statistical method used to estimate the parameters of a probability distribution that best explain the observed data. In the context of text generation, MLE is often used to train generative language…

Computation and Language · Computer Science 2023-10-27 Chenze Shao , Zhengrui Ma , Min Zhang , Yang Feng

Discrete diffusion models have recently gained significant prominence in applications involving natural language and graph data. A key factor influencing their effectiveness is the efficiency of discretized samplers. Among these,…

Machine Learning · Computer Science 2025-11-03 Yuchen Liang , Yingbin Liang , Lifeng Lai , Ness Shroff

We consider the problem of sampling from a strongly log-concave density in $\mathbb{R}^d$, and prove an information theoretic lower bound on the number of stochastic gradient queries of the log density needed. Several popular sampling…

Machine Learning · Statistics 2021-07-06 Niladri S. Chatterji , Peter L. Bartlett , Philip M. Long

We consider the classical estimation problem of an unknown drift parameter within classes of nondegenerate diffusion processes. Using rough path theory (in the sense of T. Lyons), we analyze the Maximum Likelihood Estimator (MLE) with…

Probability · Mathematics 2016-09-29 Joscha Diehl , Peter Friz , Hilmar Mai

Reinforcement learning (RL) has been successfully applied to autoregressive (AR) and diffusion models. However, extending RL to hybrid AR-diffusion frameworks remains challenging due to interleaved inference and noisy log-probability…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Xiaoxiao Ma , Jiachen Lei , Tianfei Ren , Jie Huang , Siming Fu , Aiming Hao , Jiahong Wu , Xiangxiang Chu , Feng Zhao

In this paper, we consider a general partially observed diffusion model with periodic coefficients and with non-degenerate diffusion component. The coefficients of such a model depend on an unknown (static and deterministic) parameter which…

Statistics Theory · Mathematics 2025-06-27 Ibrahim Ekren , Sergey Nadtochiy

Diffusion models (DMs) have become the dominant paradigm of generative modeling in a variety of domains by learning stochastic processes from noise to data. Recently, diffusion denoising bridge models (DDBMs), a new formulation of…

Machine Learning · Computer Science 2024-11-01 Guande He , Kaiwen Zheng , Jianfei Chen , Fan Bao , Jun Zhu

Concept erasure techniques for text-to-video (T2V) diffusion models report substantial suppression of sensitive content, yet current evaluation is limited to checking whether the target concept is absent from generated frames, treating…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yiwei Xie , Zheng Zhang , Ping Liu

Existing core-set selection methods predominantly rely on heuristic scoring signals such as training dynamics or model uncertainty, lacking explicit modeling of data likelihood. This omission may hinder the constructed subset from capturing…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Mingyang Chen , Jiawei Du , Bo Huang , Yi Wang , Xiaobo Zhang , Wei Wang

Modern successes of diffusion models in learning complex, high-dimensional data distributions are attributed, in part, to their capability to construct diffusion processes with analytic transition kernels and score functions. The…

Machine Learning · Statistics 2024-03-01 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou , Molei Tao
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