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In certain applications it is useful to fit multinomial distributions to observed data with a penalty term that encourages sparsity. For example, in probabilistic latent audio source decomposition one may wish to encode the assumption that…

Sound · Computer Science 2010-09-30 Matthew D. Hoffman

Channel and frequency offset estimation is a classic topic with a large body of prior work using mainly maximum likelihood (ML) approach together with Cram\'er-Rao Lower bounds (CRLB) analysis. We provide the maximum a posteriori (MAP)…

Signal Processing · Electrical Eng. & Systems 2019-05-13 Mingda Zhou , Zhe Feng , Xinming Huang , Youjian , Liu

LLMs have emerged as powerful evaluators in the LLM-as-a-Judge paradigm, offering significant efficiency and flexibility compared to human judgments. However, previous methods primarily rely on single-point evaluations, overlooking the…

Artificial Intelligence · Computer Science 2025-05-20 Luyu Chen , Zeyu Zhang , Haoran Tan , Quanyu Dai , Hao Yang , Zhenhua Dong , Xu Chen

Maximum a posteriori (MAP) inference is a fundamental computational paradigm for statistical inference. In the setting of graphical models, MAP inference entails solving a combinatorial optimization problem to find the most likely…

Machine Learning · Computer Science 2020-03-03 Jonathan N. Lee , Aldo Pacchiano , Michael I. Jordan

We present a novel framework that improves the reliability of LLM judges by selectively augmenting LLM with auxiliary evaluation dimensions. Existing LLM judges often miss crucial evaluation dimensions because they fail to recognize the…

Artificial Intelligence · Computer Science 2025-10-09 Jiajie Li , Huayi Zhang , Peng Lin , Jinjun Xiong , Wei Xu

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

Large language models (LLMs) are increasingly used as judges to replace costly human preference labels in pairwise evaluation. Despite their practicality, LLM judges remain prone to miscalibration and systematic biases. This paper proposes…

Computation and Language · Computer Science 2026-02-20 Sher Badshah , Ali Emami , Hassan Sajjad

A simple strategy for improving LLM accuracy, especially in math and reasoning problems, is to sample multiple responses and submit the answer most consistently reached. In this paper we leverage Bayesian prior information to save on…

Machine Learning · Statistics 2026-02-06 Jingkai Huang , Will Ma , Zhengyuan Zhou

LLM routing aims to select the most appropriate model for each query, balancing competing performance metrics such as accuracy and cost across a pool of language models. Prior approaches typically adopt a decoupled strategy, where the…

Artificial Intelligence · Computer Science 2026-01-05 Asterios Tsiourvas , Wei Sun , Georgia Perakis

The application of current generation computing machines in safety-centric applications like implantable biomedical chips and automobile safety has immensely increased the need for reviewing the worst-case error behavior of computing…

Information Theory · Computer Science 2021-08-23 Karthikeyan Lingasubramanian , Syed M. Alam , Sanjukta Bhanja

We investigate the performance of mismatched data detection in large multiple-input multiple-output (MIMO) systems, where the prior distribution of the transmit signal used in the data detector differs from the true prior. To minimize the…

Information Theory · Computer Science 2018-11-12 Charles Jeon , Arian Maleki , Christoph Studer

New Large Language Models (LLMs) become available every few weeks, and modern application developers confronted with the unenviable task of having to decide if they should switch to a new model. While human evaluation remains the gold…

Artificial Intelligence · Computer Science 2025-12-25 Suryaansh Jain , Umair Z. Ahmed , Shubham Sahai , Ben Leong

Evaluating LLMs and text-to-image models is a computationally intensive task often overlooked. Efficient evaluation is crucial for understanding the diverse capabilities of these models and enabling comparisons across a growing number of…

Combining large language models during training or at inference time has shown substantial performance gain over component LLMs. This paper presents LLM-TOPLA, a diversity-optimized LLM ensemble method with three unique properties: (i) We…

Computation and Language · Computer Science 2024-10-08 Selim Furkan Tekin , Fatih Ilhan , Tiansheng Huang , Sihao Hu , Ling Liu

Integrating large language models (LLMs) as priors in reinforcement learning (RL) offers significant advantages but comes with substantial computational costs. We present a principled cache-efficient framework for posterior sampling with…

Machine Learning · Computer Science 2025-09-30 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

With advancements in reasoning capabilities, Large Language Models (LLMs) are increasingly employed for automated judgment tasks. While LLMs-as-Judges offer promise in automating evaluations, current approaches often rely on simplistic…

Artificial Intelligence · Computer Science 2025-10-15 Tianyu Hu , Zhen Tan , Song Wang , Huaizhi Qu , Tianlong Chen

As LLMs are increasingly integrated into human-in-the-loop content moderation systems, a central challenge is deciding when their outputs can be trusted versus when escalation for human review is preferable. We propose a novel framework for…

Artificial Intelligence · Computer Science 2026-01-13 Or Bachar , Or Levi , Sardhendu Mishra , Adi Levi , Manpreet Singh Minhas , Justin Miller , Omer Ben-Porat , Eilon Sheetrit , Jonathan Morra

Computerized Adaptive Testing (CAT) has proven effective for efficient LLM evaluation on multiple-choice benchmarks, but modern LLM evaluation increasingly relies on generation tasks where outputs are scored continuously rather than marked…

Computation and Language · Computer Science 2026-01-21 Esma Balkır , Alice Pernthaller , Marco Basaldella , José Hernández-Orallo , Nigel Collier

Mixture-of-Agents (MoA) improves LLM performance through layered collaboration, but its dense topology raises costs and latency. Existing methods employ LLM judges to filter responses, yet still require all models to perform inference…

Artificial Intelligence · Computer Science 2026-01-27 Jize Wang , Han Wu , Zhiyuan You , Yiming Song , Yijun Wang , Zifei Shan , Yining Li , Songyang Zhang , Xinyi Le , Cailian Chen , Xinping Guan , Dacheng Tao

A fundamental problem in modern supervised learning is computing reliable conditional prediction intervals in high-dimensional settings: existing methods often rely on restrictive modelling assumptions, do not scale as predictor dimension…

Machine Learning · Statistics 2026-02-24 Daniel Salnikov , Dan Leonte , Kevin Michalewicz
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