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Recent work has shown that energy-based language modeling is an effective framework for controllable text generation because it enables flexible integration of arbitrary discriminators. However, because energy-based LMs are globally…

Computation and Language · Computer Science 2023-12-08 Jarad Forristal , Niloofar Mireshghallah , Greg Durrett , Taylor Berg-Kirkpatrick

Constrained decoding enables Language Models (LMs) to produce samples that provably satisfy hard constraints. However, existing constrained-decoding approaches often distort the underlying model distribution, a limitation that is especially…

Artificial Intelligence · Computer Science 2025-06-09 Emmanuel Anaya Gonzalez , Sairam Vaidya , Kanghee Park , Ruyi Ji , Taylor Berg-Kirkpatrick , Loris D'Antoni

Probabilistic modeling provides the capability to represent and manipulate uncertainty in data, models, predictions and decisions. We are concerned with the problem of learning probabilistic models of dynamical systems from measured data.…

Computation · Statistics 2018-03-14 Thomas B. Schön , Andreas Svensson , Lawrence Murray , Fredrik Lindsten

A plethora of protein language models have been released in recent years. Yet comparatively little work has addressed how to best sample from them to optimize desired biological properties. We fill this gap by proposing a flexible,…

Machine Learning · Computer Science 2026-05-08 Calvin McCarter , Nick Bhattacharya , Sebastian W. Ober , Hunter Elliott

Masked language models (MLM) do not explicitly define a distribution over language, i.e., they are not language models per se. However, recent work has implicitly treated them as such for the purposes of generation and scoring. This paper…

Computation and Language · Computer Science 2023-05-26 Lucas Torroba Hennigen , Yoon Kim

Autoregressive language models are the currently dominant paradigm for text generation, but they have some fundamental limitations that cannot be remedied by scale-for example inherently sequential and unidirectional generation. While…

Computation and Language · Computer Science 2024-08-01 Yuchen Li , Alexandre Kirchmeyer , Aashay Mehta , Yilong Qin , Boris Dadachev , Kishore Papineni , Sanjiv Kumar , Andrej Risteski

We introduce Projected Latent Markov Chain Monte Carlo (PL-MCMC), a technique for sampling from the high-dimensional conditional distributions learned by a normalizing flow. We prove that a Metropolis-Hastings implementation of PL-MCMC…

Machine Learning · Computer Science 2021-03-01 Chris Cannella , Mohammadreza Soltani , Vahid Tarokh

Masked Language Model (MLM) framework has been widely adopted for self-supervised language pre-training. In this paper, we argue that randomly sampled masks in MLM would lead to undesirably large gradient variance. Thus, we theoretically…

Computation and Language · Computer Science 2020-10-15 Mingzhi Zheng , Dinghan Shen , Yelong Shen , Weizhu Chen , Lin Xiao

A possible explanation for the impressive performance of masked language model (MLM) pre-training is that such models have learned to represent the syntactic structures prevalent in classical NLP pipelines. In this paper, we propose a…

Computation and Language · Computer Science 2021-09-13 Koustuv Sinha , Robin Jia , Dieuwke Hupkes , Joelle Pineau , Adina Williams , Douwe Kiela

The ability to generate samples of the random effects from their conditional distributions is fundamental for inference in mixed effects models. Random walk Metropolis is widely used to conduct such sampling, but such a method can converge…

Applications · Statistics 2019-10-29 Belhal Karimi , Marc Lavielle

Learning to predict masked tokens in a sequence has been shown to be a helpful pretraining objective for powerful language models such as PaLM2. After training, such masked language models (MLMs) can provide distributions of tokens in the…

Computation and Language · Computer Science 2024-02-26 Tom Young , Yunan Chen , Yang You

Monte Carlo (MC) sampling methods are widely applied in Bayesian inference, system simulation and optimization problems. The Markov Chain Monte Carlo (MCMC) algorithms are a well-known class of MC methods which generate a Markov chain with…

Methodology · Statistics 2024-06-21 Luca Martino , Victor Elvira

The Metropolis-Hastings (MH) algorithm is one of the most widely used Markov Chain Monte Carlo schemes for generating samples from Bayesian posterior distributions. The algorithm is asymptotically exact, flexible and easy to implement.…

Methodology · Statistics 2026-03-10 Estevão Prado , Christopher Nemeth , Chris Sherlock

We propose an adaptive Metropolis-Hastings algorithm in which sampled data are used to update the proposal distribution. We use the samples found by the algorithm at a particular step to form the information-theoretically optimal mean-field…

Other Condensed Matter · Physics 2007-05-23 David H. Wolpert , Chiu Fan Lee

Machine reading comprehension (MRC) is a challenging natural language processing (NLP) task. Recently, the emergence of pre-trained models (PTM) has brought this research field into a new era, in which the training objective plays a key…

Computation and Language · Computer Science 2021-11-01 Changchang. Zeng , Shaobo. Li

Various Markov chain Monte Carlo (MCMC) methods are studied to improve upon random walk Metropolis sampling, for simulation from complex distributions. Examples include Metropolis-adjusted Langevin algorithms, Hamiltonian Monte Carlo, and…

Computation · Statistics 2020-05-19 Zexi Song , Zhiqiang Tan

Reinforcement Learning (RL) post-training alignment for language models is effective, but also costly and unstable in practice, owing to its complicated training process. To address this, we propose a training-free inference method to…

Machine Learning · Computer Science 2026-05-20 Xiuyu Li , Jinkai Zhang , Mingyang Yi , Yu Li , Longqiang Wang , Yue Wang , Ju Fan

We propose a novel Metropolis-Hastings algorithm to sample uniformly from the space of correlation matrices. Existing methods in the literature are based on elaborated representations of a correlation matrix, or on complex parametrizations…

Computation · Statistics 2019-10-18 Irene Córdoba , Gherardo Varando , Concha Bielza , Pedro Larrañaga

Recent papers have demonstrated the possibility of energy-based text generation by adapting gradient-based sampling algorithms, a paradigm of MCMC algorithms that promises fast convergence. However, as we show in this paper, previous…

Computation and Language · Computer Science 2024-01-01 Li Du , Afra Amini , Lucas Torroba Hennigen , Xinyan Velocity Yu , Jason Eisner , Holden Lee , Ryan Cotterell

Many recent reasoning gains in large language models can be explained as distribution sharpening: biasing generation toward high-likelihood trajectories already supported by the pretrained model, rather than modifying its weights. A natural…

Machine Learning · Statistics 2026-03-24 Seyedarmin Azizi , Erfan Baghaei Potraghloo , Minoo Ahmadi , Souvik Kundu , Massoud Pedram
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