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Related papers: Parallel Sampling via Autospeculation

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Autocorrelations in MCMC chains increase the variance of the estimators they produce. We propose the occlusion process to mitigate this problem. It is a process that sits upon an existing MCMC sampler, and occasionally replaces its samples…

Computation · Statistics 2024-11-20 Max Hird , Florian Maire

Speculative decoding aims to speed up autoregressive generation of a language model by verifying in parallel the tokens generated by a smaller draft model.In this work, we explore the effectiveness of learning-free, negligible-cost draft…

Machine Learning · Computer Science 2024-11-07 Lawrence Stewart , Matthew Trager , Sujan Kumar Gonugondla , Stefano Soatto

Stochastic equations play an important role in computational science, due to their ability to treat a wide variety of complex statistical problems. However, current algorithms are strongly limited by their sampling variance, which scales…

Numerical Analysis · Mathematics 2017-01-04 Bogdan Opanchuk , Simon Kiesewetter , Peter D. Drummond

Autoregressive decoding limits the efficiency of transformers for Machine Translation (MT). The community proposed specific network architectures and learning-based methods to solve this issue, which are expensive and require changes to the…

Computation and Language · Computer Science 2025-02-06 Andrea Santilli , Silvio Severino , Emilian Postolache , Valentino Maiorca , Michele Mancusi , Riccardo Marin , Emanuele Rodolà

Speculative decoding (SD) has emerged as an effective technique to accelerate large language model (LLM) inference without compromising output quality. However, the achievable speedup largely depends on the effectiveness of the drafting…

Computation and Language · Computer Science 2025-11-04 Min Fang , Zhihui Fu , Qibin Zhao , Jun Wang

Ordinal regression (OR) is classification of ordinal data in which the underlying categorical target variable has a natural ordinal relation for the underlying explanatory variable. For $K$-class OR tasks, threshold methods learn a…

Machine Learning · Computer Science 2024-05-22 Ryoya Yamasaki , Toshiyuki Tanaka

Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

Statistics Theory · Mathematics 2024-07-12 Xicheng Zhang

Large language models typically generate tokens autoregressively, using each token as input for the next. Recent work on Speculative Decoding has sought to accelerate this process by employing a smaller, faster draft model to more quickly…

Computation and Language · Computer Science 2024-10-24 Bradley McDanel

Autoregressive (AR) generation is the standard decoding paradigm for Large Language Models (LLMs), but its token-by-token nature limits parallelism at inference time. Diffusion Language Models (DLLMs) offer parallel decoding by recovering…

Computation and Language · Computer Science 2025-12-30 Aiwei Liu , Minghua He , Shaoxun Zeng , Sijun Zhang , Linhao Zhang , Chuhan Wu , Wei Jia , Yuan Liu , Xiao Zhou , Jie Zhou

This paper investigates the parallel complexity of several non-equilibrium growth models. Invasion percolation, Eden growth, ballistic deposition and solid-on-solid growth are all seemingly highly sequential processes that yield…

Condensed Matter · Physics 2009-10-22 J. Machta , R. Greenlaw

Parallel imaging with linear predictability takes advantage of information present in multiple receive coils to accurately reconstruct the image with fewer samples. Commonly used algorithms based on linear predictability include GRAPPA and…

Image and Video Processing · Electrical Eng. & Systems 2023-01-19 Alex McManus , Stephen Becker , Nicholas Dwork

Speculative decoding accelerates large language model inference by proposing tokens with a lightweight draft model and selectively accepting them using a target model. This work introduces DropMatch, a novel approach that matches draft…

Computation and Language · Computer Science 2026-03-05 Jeongtae Lee , Minjung Jo , Hyunjoon Jeong , Gunho Park , Sunghyeon Woo , Joonghoon Kim , Se Jung Kwon , Dongsoo Lee

Diffusion models have quickly become some of the most popular and powerful generative models for high-dimensional data. The key insight that enabled their development was the realization that access to the score -- the gradient of the…

Machine Learning · Computer Science 2025-12-01 Zhenghan Fang , Mateo Díaz , Sam Buchanan , Jeremias Sulam

Diffusion models play a pivotal role in contemporary generative modeling, claiming state-of-the-art performance across various domains. Despite their superior sample quality, mainstream diffusion-based stochastic samplers like DDPM often…

Machine Learning · Statistics 2024-10-08 Yuchen Wu , Yuxin Chen , Yuting Wei

We consider the problem of sampling $n$ numbers from the range $\{1,\ldots,N\}$ without replacement on modern architectures. The main result is a simple divide-and-conquer scheme that makes sequential algorithms more cache efficient and…

Data Structures and Algorithms · Computer Science 2019-11-18 Peter Sanders , Sebastian Lamm , Lorenz Hübschle-Schneider , Emanuel Schrade , Carsten Dachsbacher

Speculative sampling (SpS) has been successful in accelerating the decoding throughput of auto-regressive large language models by leveraging smaller draft models. SpS strictly enforces the generated distribution to match that of the…

Machine Learning · Computer Science 2026-04-08 Yongchang Hao , Lili Mou

Developing efficient multi-objective optimization methods to compute the Pareto set of optimal compromises between conflicting objectives remains a key challenge, especially for large-scale and expensive problems. To bridge this gap, we…

Machine Learning · Computer Science 2026-02-05 Sedjro Salomon Hotegni , Sebastian Peitz

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

Masked diffusion models (MDMs) have emerged as a promising approach for language modeling, yet they face a performance gap compared to autoregressive models (ARMs) and require more training iterations. In this work, we present the…

Machine Learning · Computer Science 2026-01-26 Mahdi Karami , Ali Ghodsi

Diffusion language models (DLMs) have emerged as a promising alternative to autoregressive models for faster inference via parallel token generation. We provide a rigorous foundation for this advantage by formalizing a model of parallel…

Machine Learning · Computer Science 2026-01-01 Haozhe Jiang , Nika Haghtalab , Lijie Chen
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