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The discrete class algorithm presented in this paper is an efficient simulation tool for stochastic processes governed by a reasonably small set of transition rates. The algorithm is presented, its performance compared to prevailing methods…

Computational Physics · Physics 2008-02-03 Hans E. Plesser , Dietmar Wendt

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

Humans excel at discovering regular structures from limited samples and applying inferred rules to novel settings. We investigate whether modern generative models can similarly learn underlying rules from finite samples and perform…

Machine Learning · Computer Science 2024-11-13 Binxu Wang , Jiaqi Shang , Haim Sompolinsky

Tasks requiring deductive reasoning, especially those involving multiple steps, often demand adaptive strategies such as intermediate generation of rationales or programs, as no single approach is universally optimal. While Language Models…

Artificial Intelligence · Computer Science 2024-10-22 Rongxing Liu , Kumar Shridhar , Manish Prajapat , Patrick Xia , Mrinmaya Sachan

Prompt tuning and adapter tuning have shown great potential in transferring pre-trained vision-language models (VLMs) to various downstream tasks. In this work, we design a new type of tuning method, termed as regularized mask tuning, which…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Kecheng Zheng , Wei Wu , Ruili Feng , Kai Zhu , Jiawei Liu , Deli Zhao , Zheng-Jun Zha , Wei Chen , Yujun Shen

With the rise of generative models, there is a growing interest in unifying all tasks within a generative framework. Anomaly detection methods also fall into this scope and utilize diffusion models to generate or reconstruct normal samples…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Xiaofan Li , Xin Tan , Zhuo Chen , Zhizhong Zhang , Ruixin Zhang , Rizen Guo , Guannan Jiang , Yulong Chen , Yanyun Qu , Lizhuang Ma , Yuan Xie

Discrete diffusion models have recently shown significant progress in modeling complex data, such as natural languages and DNA sequences. However, unlike diffusion models for continuous data, which can generate high-quality samples in just…

Machine Learning · Computer Science 2025-03-20 Anji Liu , Oliver Broadrick , Mathias Niepert , Guy Van den Broeck

Masked diffusion models (MDMs) are a promising alternative to autoregressive models (ARMs), but they suffer from inherently much higher training variance. High variance leads to noisier gradient estimates and unstable optimization, so even…

Machine Learning · Computer Science 2026-05-22 Mengni Jia , Mengyu Zhou , Yihao Liu , Xiaoxi Jiang , Guanjun Jiang

Speculative decoding has emerged as an effective approach for accelerating autoregressive inference by parallelizing token generation through a draft-then-verify paradigm. However, existing methods rely on static drafting lengths and rigid…

Computation and Language · Computer Science 2026-05-29 Jaydip Sen , Subhasis Dasgupta , Hetvi Waghela

The goal of this paper is to analyze distributional Markov Decision Processes as a class of control problems in which the objective is to learn policies that steer the distribution of a cumulative reward toward a prescribed target law,…

Optimization and Control · Mathematics 2026-02-09 Nicole Bäuerle , Athanasios Vasileiadis

Finite element discretizations of problems in computational physics often rely on adaptive mesh refinement (AMR) to preferentially resolve regions containing important features during simulation. However, these spatial refinement strategies…

Computational Engineering, Finance, and Science · Computer Science 2022-09-27 Corbin Foucart , Aaron Charous , Pierre F. J. Lermusiaux

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

Masked Diffusion Language Models generate sequences via iterative sampling that progressively unmasks tokens. However, they still recompute the attention and feed-forward blocks for every token position at every step -- even when many…

Computation and Language · Computer Science 2026-05-13 Daisuke Oba , Danushka Bollegala , Masahiro Kaneko , Naoaki Okazaki

Diffusion Probabilistic Models (DPMs) have achieved great success in image generation but suffer from high inference latency due to their iterative denoising nature. Motivated by the evolving feature dynamics across the denoising…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Haodong He , Yuan Gao , Weizhong Zhang , Gui-Song Xia

Neural networks have long been used to model human intelligence, capturing elements of behavior and cognition, and their neural basis. Recent advancements in deep learning have enabled neural network models to reach and even surpass human…

Machine Learning · Computer Science 2023-03-30 Andrew J. Nam , James L. McClelland

Masked discrete diffusion models (MDMs) are a promising new approach to generative modelling, offering the ability for parallel token generation and therefore greater efficiency than autoregressive counterparts. However, achieving an…

Machine Learning · Computer Science 2026-03-02 David Fox , Sam Bowyer , Song Liu , Laurence Aitchison , Raul Santos-Rodriguez , Mengyue Yang

Autoregressive language models (ARMs) suffer from the reversal curse: after learning ''$A$ is $B$,'' they often fail on the reverse query ''$B$ is $A$.'' Masked diffusion language models (MDMs) exhibit this failure in a much weaker form,…

Artificial Intelligence · Computer Science 2026-05-13 Moongyu Jeon , Sangwoo Shin , BumJun Kim , Kyelim Lee , Albert No

Masked diffusion models (MDMs) have shown promise in language modeling, yet their scalability and effectiveness in core language tasks, such as text generation and language understanding, remain underexplored. This paper establishes the…

Artificial Intelligence · Computer Science 2025-03-03 Shen Nie , Fengqi Zhu , Chao Du , Tianyu Pang , Qian Liu , Guangtao Zeng , Min Lin , Chongxuan Li

Diffusion models have shown promising results in speech enhancement, using a task-adapted diffusion process for the conditional generation of clean speech given a noisy mixture. However, at test time, the neural network used for score…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-17 Bunlong Lay , Jean-Marie Lemercier , Julius Richter , Timo Gerkmann

Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized…

Machine Learning · Statistics 2026-05-19 Grigory Bartosh , Teodora Pandeva , Sushrut Karmalkar , Javier Zazo
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