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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…

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

Numerous capability and safety techniques of Large Language Models (LLMs), including RLHF, automated red-teaming, prompt engineering, and infilling, can be cast as sampling from an unnormalized target distribution defined by a given reward…

Machine Learning · Computer Science 2024-05-01 Stephen Zhao , Rob Brekelmans , Alireza Makhzani , Roger Grosse

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

While test-time reasoning enables language models (LMs) to tackle complex tasks, searching or planning in natural language can be slow, costly, and error-prone. But even when LMs struggle to emulate the precise reasoning steps needed to…

Computation and Language · Computer Science 2025-08-11 Gabriel Grand , Joshua B. Tenenbaum , Vikash K. Mansinghka , Alexander K. Lew , Jacob Andreas

Sequential Monte Carlo (SMC) methods are a class of Monte Carlo methods that are used to obtain random samples of a high dimensional random variable in a sequential fashion. Many problems encountered in applications often involve different…

Methodology · Statistics 2018-12-20 Chencheng Cai , Rong Chen , Ming Lin

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 shown strong performance in many reasoning benchmarks. However, recent studies have pointed to memorization, rather than generalization, as one of the leading causes for such performance. LLMs, in fact, are…

Computation and Language · Computer Science 2025-09-19 Xingwei Tan , Marco Valentino , Mahmud Akhter , Maria Liakata , Nikolaos Aletras

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

Probabilistic inference algorithms such as Sequential Monte Carlo (SMC) provide powerful tools for constraining procedural models in computer graphics, but they require many samples to produce desirable results. In this paper, we show how…

Graphics · Computer Science 2016-10-17 Daniel Ritchie , Anna Thomas , Pat Hanrahan , Noah D. Goodman

Inference-time methods that aggregate and prune multiple samples have emerged as a powerful paradigm for steering large language models, yet we lack any principled understanding of their accuracy-cost tradeoffs. In this paper, we introduce…

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

Controlling the syntactic structure of text generated by language models is valuable for applications requiring clarity, stylistic consistency, or interpretability, yet it remains a challenging task. In this paper, we argue that sampling…

Computation and Language · Computer Science 2025-06-10 Vicky Xefteri , Tim Vieira , Ryan Cotterell , Afra Amini

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…

Large Language Models (LLMs) offer promising capabilities for tackling complex reasoning tasks, including optimization problems. However, existing methods either rely on prompt engineering, which leads to poor generalization across problem…

Machine Learning · Computer Science 2025-10-23 Dong Li , Xujiang Zhao , Linlin Yu , Yanchi Liu , Wei Cheng , Zhengzhang Chen , Zhong Chen , Feng Chen , Chen Zhao , Haifeng Chen

In online clustering problems, there is often a large amount of uncertainty over possible cluster assignments that cannot be resolved until more data are observed. This difficulty is compounded when clusters follow complex distributions, as…

Machine Learning · Statistics 2026-04-17 Connie Trojan , Pavel Myshkov , Paul Fearnhead , James Hensman , Tom Minka , Christopher Nemeth

Forward inference techniques such as sequential Monte Carlo and particle Markov chain Monte Carlo for probabilistic programming can be implemented in any programming language by creative use of standardized operating system functionality…

Artificial Intelligence · Computer Science 2014-07-11 Brooks Paige , Frank Wood

Large language models have demonstrated outstanding performance on a wide range of tasks such as question answering and code generation. On a high level, given an input, a language model can be used to automatically complete the sequence in…

Computation and Language · Computer Science 2023-05-31 Luca Beurer-Kellner , Marc Fischer , Martin Vechev

Probabilistic Programming Languages (PPLs) allow users to encode statistical inference problems and automatically apply an inference algorithm to solve them. Popular inference algorithms for PPLs, such as sequential Monte Carlo (SMC) and…

Programming Languages · Computer Science 2023-05-05 Daniel Lundén , Gizem Çaylak , Fredrik Ronquist , David Broman

Approximate inference in probabilistic graphical models (PGMs) can be grouped into deterministic methods and Monte-Carlo-based methods. The former can often provide accurate and rapid inferences, but are typically associated with biases…

Machine Learning · Statistics 2019-01-09 Fredrik Lindsten , Jouni Helske , Matti Vihola
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