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Inference-time computation is a powerful paradigm to enhance the performance of large language models (LLMs), with Best-of-N sampling being a widely used technique. However, this method is computationally expensive, requiring both (1) an…

Computation and Language · Computer Science 2024-10-04 Rohin Manvi , Anikait Singh , Stefano Ermon

The wide applicability and adaptability of generative large language models (LLMs) has enabled their rapid adoption. While the pre-trained models can perform many tasks, such models are often fine-tuned to improve their performance on…

Computation and Language · Computer Science 2023-06-16 Myles Foley , Ambrish Rawat , Taesung Lee , Yufang Hou , Gabriele Picco , Giulio Zizzo

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

Machine Learning · Computer Science 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin

This paper introduces a novel Bayesian learning model to explain the behavior of Large Language Models (LLMs), focusing on their core optimization metric of next token prediction. We develop a theoretical framework based on an ideal…

Machine Learning · Computer Science 2024-09-25 Siddhartha Dalal , Vishal Misra

The new paradigm of test-time scaling has yielded remarkable breakthroughs in Large Language Models (LLMs) (e.g. reasoning models) and in generative vision models, allowing models to allocate additional computation during inference to…

Machine Learning · Computer Science 2025-08-14 Luca Eyring , Shyamgopal Karthik , Alexey Dosovitskiy , Nataniel Ruiz , Zeynep Akata

Zero-shot diffusion posterior sampling offers a flexible framework for inverse problems by accommodating arbitrary degradation operators at test time, but incurs high computational cost due to repeated likelihood-guided updates. In…

Machine Learning · Statistics 2026-02-10 Léon Zheng , Thomas Hirtz , Yazid Janati , Eric Moulines

Simulation-based methods for statistical inference have evolved dramatically over the past 50 years, keeping pace with technological advancements. The field is undergoing a new revolution as it embraces the representational capacity of…

Machine Learning · Statistics 2024-10-11 Andrew Zammit-Mangion , Matthew Sainsbury-Dale , Raphaël Huser

The objectives that Large Language Models (LLMs) implicitly optimize remain dangerously opaque, making trustworthy alignment and auditing a grand challenge. While Inverse Reinforcement Learning (IRL) can infer reward functions from…

Machine Learning · Computer Science 2025-10-09 Matthieu Bou , Nyal Patel , Arjun Jagota , Satyapriya Krishna , Sonali Parbhoo

Large Language Models (LLMs) have long held sway in the realms of artificial intelligence research. Numerous efficient techniques, including weight pruning, quantization, and distillation, have been embraced to compress LLMs, targeting…

Artificial Intelligence · Computer Science 2024-11-01 Xuan Shen , Pu Zhao , Yifan Gong , Zhenglun Kong , Zheng Zhan , Yushu Wu , Ming Lin , Chao Wu , Xue Lin , Yanzhi Wang

Large Language Models (LLMs) often struggle to maintain their original performance when faced with semantically coherent but task-irrelevant contextual information. Although prior studies have explored this issue using fixed-template or…

Computation and Language · Computer Science 2025-09-23 Yanbo Wang , Zixiang Xu , Yue Huang , Chujie Gao , Siyuan Wu , Jiayi Ye , Pin-Yu Chen , Xiuying Chen , Xiangliang Zhang

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

Machine Learning · Computer Science 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

We consider amortized Bayesian inference for nonlinear inverse problems in settings where only samples from the joint distribution of parameters and observations are available. Classical methods such as Markov chain Monte Carlo require…

Numerical Analysis · Mathematics 2026-05-19 Hojjat Kaveh , Ricardo Baptista , Andrew M. Stuart

We propose a novel method for approximate inference in Bayesian networks (BNs). The idea is to sample data from a BN, learn a latent tree model (LTM) from the data offline, and when online, make inference with the LTM instead of the…

Machine Learning · Computer Science 2014-01-16 Yi Wang , Nevin L. Zhang , Tao Chen

Unsupervised estimation of latent variable models is a fundamental problem central to numerous applications of machine learning and statistics. This work presents a principled approach for estimating broad classes of such models, including…

Machine Learning · Statistics 2013-05-27 Animashree Anandkumar , Daniel Hsu , Adel Javanmard , Sham M. Kakade

Large language models (LLMs) have revolutionized natural language processing (NLP) by excelling at understanding and generating human-like text. However, their widespread deployment can be prohibitively expensive. SortedNet is a recent…

Computation and Language · Computer Science 2024-02-12 Parsa Kavehzadeh , Mojtaba Valipour , Marzieh Tahaei , Ali Ghodsi , Boxing Chen , Mehdi Rezagholizadeh

Variational inference methods have been shown to lead to significant improvements in the computational efficiency of approximate Bayesian inference in mixed multinomial logit models when compared to standard Markov-chain Monte Carlo (MCMC)…

Computation · Statistics 2020-04-14 Filipe Rodrigues

Large Language Models (LLMs) have demonstrated remarkable progress in reasoning across diverse domains. However, effective reasoning in real-world tasks requires adapting the reasoning strategy to the demands of the problem, ranging from…

Computation and Language · Computer Science 2025-08-19 Xinda Jia , Jinpeng Li , Zezhong Wang , Jingjing Li , Xingshan Zeng , Yasheng Wang , Weinan Zhang , Yong Yu , Weiwen Liu

Amortised inference enables scalable learning of sequential latent-variable models (LVMs) with the evidence lower bound (ELBO). In this setting, variational posteriors are often only partially conditioned. While the true posteriors depend,…

Machine Learning · Computer Science 2021-03-18 Justin Bayer , Maximilian Soelch , Atanas Mirchev , Baris Kayalibay , Patrick van der Smagt

Large Language Models (LLMs) have revolutionized many areas of artificial intelligence (AI), but their substantial resource requirements limit their deployment on mobile and edge devices. This survey paper provides a comprehensive overview…

Machine Learning · Computer Science 2025-09-03 Sanjay Surendranath Girija , Shashank Kapoor , Lakshit Arora , Dipen Pradhan , Aman Raj , Ankit Shetgaonkar

Mitigating hallucinations in Large Language Models (LLMs) is critical for their reliable deployment. Existing methods typically fine-tune LLMs to abstain from answering questions beyond their knowledge scope. However, these methods often…

Computation and Language · Computer Science 2025-10-29 Hao An , Yang Xu