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Even after fine-tuning and reinforcement learning, large language models (LLMs) can be difficult, if not impossible, to control reliably with prompts alone. We propose a new inference-time approach to enforcing syntactic and semantic…

Artificial Intelligence · Computer Science 2023-11-28 Alexander K. Lew , Tan Zhi-Xuan , Gabriel Grand , Vikash K. Mansinghka

Augmenting the multi-step reasoning abilities of Large Language Models (LLMs) has been a persistent challenge. Recently, verification has shown promise in improving solution consistency by evaluating generated outputs. However, current…

Machine Learning · Computer Science 2025-03-04 Shengyu Feng , Xiang Kong , Shuang Ma , Aonan Zhang , Dong Yin , Chong Wang , Ruoming Pang , Yiming Yang

We study inference-time alignment for diffusion-based generative models, aiming to steer a base model toward high-reward outputs without updating its weights. Recent Sequential Monte Carlo (SMC)-based steering methods approximate…

Machine Learning · Computer Science 2026-05-26 Weixin Wang , Yu Yang , Wei Deng , Pan Xu

A wide range of LM applications require generating text that conforms to syntactic or semantic constraints. Imposing such constraints can be naturally framed as probabilistic conditioning, but exact generation from the resulting…

This work presents self-rewarding sequential Monte Carlo (SMC), an inference-time scaling algorithm enabling effective sampling of masked diffusion language models (MDLMs). Our algorithm stems from the observation that most existing MDLMs…

Machine Learning · Computer Science 2026-02-03 Ziwei Luo , Ziqi Jin , Lei Wang , Lidong Bing , Thomas B. Schön

Recent work has framed constrained text generation with autoregressive language models as a probabilistic inference problem. Among these, Zhao et al. (2024) introduced a promising approach based on twisted Sequential Monte Carlo, which…

Machine Learning · Computer Science 2025-11-26 Sooyeon Kim , Giung Nam , Byoungwoo Park , Juho Lee

Probabilistic programming is an approach to reasoning under uncertainty by encoding inference problems as programs. In order to solve these inference problems, probabilistic programming languages (PPLs) employ different inference…

Programming Languages · Computer Science 2023-05-04 Daniel Lundén , Johannes Borgström , David Broman

Speculative decoding (SD) accelerates language model inference by drafting tokens from a cheap proposal model and verifying them against an expensive target model via rejection sampling. Because rejection truncates the draft block at the…

Large language models (LLMs) have achieved significant performance gains via scaling up model sizes and/or data. However, recent evidence suggests diminishing returns from such approaches, motivating scaling the computation spent at…

Machine Learning · Computer Science 2025-08-15 Isha Puri , Shivchander Sudalairaj , Guangxuan Xu , Kai Xu , Akash Srivastava

We introduce a principled probabilistic framework for reward-guided decoding in large language models, addressing the limitations of standard decoding methods that optimize token-level likelihood rather than sequence-level quality. Our…

Machine Learning · Computer Science 2026-04-21 Jelena Markovic-Voronov , Wenhui Zhu , Bo Long , Zhipeng Wang , Suyash Gupta , Kayhan Behdin , Bee-Chung Chen , Deepak Agarwal

A core problem in statistics and probabilistic machine learning is to compute probability distributions and expectations. This is the fundamental problem of Bayesian statistics and machine learning, which frames all inference as…

Machine Learning · Statistics 2024-12-06 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

Automated methods for discovering mechanistic simulator models from observational data offer a promising path toward accelerating scientific progress. Such methods often take the form of agentic-style iterative workflows that repeatedly…

Machine Learning · Computer Science 2026-02-23 Stefan Wahl , Raphaela Schenk , Ali Farnoud , Jakob H. Macke , Daniel Gedon

We propose a novel class of Sequential Monte Carlo (SMC) algorithms, appropriate for inference in probabilistic graphical models. This class of algorithms adopts a divide-and-conquer approach based upon an auxiliary tree-structured…

Bayesian reasoning in linear mixed-effects models (LMMs) is challenging and often requires advanced sampling techniques like Markov chain Monte Carlo (MCMC). A common approach is to write the model in a probabilistic programming language…

Machine Learning · Computer Science 2025-03-25 Jinlin Lai , Justin Domke , Daniel Sheldon

The majority of language model training builds on imitation learning. It covers pretraining, supervised fine-tuning, and affects the starting conditions for reinforcement learning from human feedback (RLHF). The simplicity and scalability…

Sequential Monte Carlo (SMC) methods are a class of techniques to sample approximately from any sequence of probability distributions using a combination of importance sampling and resampling steps. This paper is concerned with the…

Statistics Theory · Mathematics 2012-03-05 Pierre Del Moral , Arnaud Doucet , Ajay Jasra

Conditional masked language model (CMLM) training has proven successful for non-autoregressive and semi-autoregressive sequence generation tasks, such as machine translation. Given a trained CMLM, however, it is not clear what the best…

Computation and Language · Computer Science 2020-10-21 Julia Kreutzer , George Foster , Colin Cherry

This paper proposes a synergy of amortised and particle-based methods for sampling from distributions defined by unnormalised density functions. We state a connection between sequential Monte Carlo (SMC) and neural sequential samplers…

Machine Learning · Computer Science 2025-10-14 Sanghyeok Choi , Sarthak Mittal , Víctor Elvira , Jinkyoo Park , Nikolay Malkin

The particle filter (PF), also known as sequential Monte Carlo (SMC), approximates high-dimensional probability distributions and their normalizing constants in the discrete-time setting. To reduce the variance of the Monte Carlo…

Computation · Statistics 2026-05-05 Jianfeng Lu , Yuliang Wang

Practitioners have access to an abundance of language models and prompting strategies for solving many language modeling tasks; yet prior work shows that modeling performance is highly sensitive to both choices. Classical machine learning…

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