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We propose a random-effects approach to missing values for generalized linear mixed model (GLMM) analysis. The method converts a GLMM with missing covariates to another GLMM without missing covariates. The standard GLMM analysis tools for…

Methodology · Statistics 2026-01-01 Thuan Nguyen , Jiangshan Zhang , Jiming Jiang

We study a high-dimensional regression setting under the assumption of known covariate distribution. We aim at estimating the amount of explained variation in the response by the best linear function of the covariates (the signal level). In…

Statistics Theory · Mathematics 2022-05-12 Ilan Livne , David Azriel , Yair Goldberg

The complementary potential of Large Language Models (LLM) assumes off-the-shelf LLMs have heterogeneous expertise in a wide range of domains and tasks so that an ensemble of LLMs can achieve consistently better performance. Existing…

Computation and Language · Computer Science 2023-11-16 Keming Lu , Hongyi Yuan , Runji Lin , Junyang Lin , Zheng Yuan , Chang Zhou , Jingren Zhou

The maximum likelihood estimator (MLE) is pivotal in statistical inference, yet its application is often hindered by the absence of closed-form solutions for many models. This poses challenges in real-time computation scenarios,…

Methodology · Statistics 2025-04-16 Pedro L. Ramos , Eduardo Ramos , Francisco A. Rodrigues , Francisco Louzada

We derive information theoretic generalization bounds for supervised learning algorithms based on a new measure of leave-one-out conditional mutual information (loo-CMI). Contrary to other CMI bounds, which are black-box bounds that do not…

Machine Learning · Computer Science 2022-07-04 Mohamad Rida Rammal , Alessandro Achille , Aditya Golatkar , Suhas Diggavi , Stefano Soatto

The best-performing models in ML are not interpretable. If we can explain why they outperform, we may be able to replicate these mechanisms and obtain both interpretability and performance. One example are decision trees and their…

Machine Learning · Statistics 2023-02-09 Hugh Panton , Gavin Leech , Laurence Aitchison

As LLM benchmarks saturate, the evaluation community has pursued two strategies to increase difficulty: escalating knowledge demands (GPQA, HLE) or removing knowledge entirely in favor of abstract reasoning (ARC-AGI). The first conflates…

Artificial Intelligence · Computer Science 2026-05-19 Rohit Patel , Alexandre Rezende , Steven McClain

We present a novel method - LIBRE - to learn an interpretable classifier, which materializes as a set of Boolean rules. LIBRE uses an ensemble of bottom-up weak learners operating on a random subset of features, which allows for the…

Machine Learning · Computer Science 2019-11-18 Graziano Mita , Paolo Papotti , Maurizio Filippone , Pietro Michiardi

Thousands of diverse benchmarks have been developed to measure the quality of large language models (LLMs). Yet prior work has demonstrated that LLM performance is often sufficiently explained by a small set of latent factors, or abilities.…

Computation and Language · Computer Science 2026-04-03 Michael Krumdick , Adam Wiemerslage , Seth Ebner , Charles Lovering , Chris Tanner

Large language models (LLMs) have been widely adopted in mathematical optimization in scientific scenarios for their extensive knowledge and advanced reasoning capabilities. Existing methods mainly focus on utilizing LLMs to solve…

Optimization and Control · Mathematics 2025-03-18 Qitan Lv , Tianyu Liu , Hong Wang

Recent advancements in large audio language models (LALMs) have demonstrated impressive results and promising prospects in universal understanding and reasoning across speech, music, and general sound. However, these models still lack the…

When observations are independent, formulae and software are readily available to plan and design studies of appropriate size and power to detect important associations. When observations are correlated or clustered, results obtained from…

Applications · Statistics 2021-03-15 David M. Thompson

Scientific idea generation and selection requires exploration following a target probability distribution. In contrast, current AI benchmarks have objectively correct answers, and training large language models (LLMs) via reinforcement…

Machine Learning · Computer Science 2025-11-19 Ivy Yuqian Yang , David Yu Zhang

This study introduces an ensemble framework for unstructured text categorization using large language models (LLMs). By integrating multiple models, the ensemble large language model (eLLM) framework addresses common weaknesses of…

Artificial Intelligence · Computer Science 2025-11-21 Ariel Kamen , Yakov Kamen

We consider an agent interacting with an unmodeled environment. At each time, the agent makes an observation, takes an action, and incurs a cost. Its actions can influence future observations and costs. The goal is to minimize the long-term…

Information Theory · Computer Science 2009-07-22 Vivek F. Farias , Ciamac C. Moallemi , Tsachy Weissman , Benjamin Van Roy

The conditional mutual information I(X;Y|Z) measures the average information that X and Y contain about each other given Z. This is an important primitive in many learning problems including conditional independence testing, graphical model…

Information Theory · Computer Science 2017-10-16 Arman Rahimzamani , Sreeram Kannan

Zero-shot learning methods typically assume that the new, unseen classes encountered during deployment come from the same distribution as the the classes in the training set. However, real-world scenarios often involve class distribution…

Machine Learning · Computer Science 2024-12-11 Yuli Slavutsky , Yuval Benjamini

Large language models (LLMs) are increasingly used in social science simulations. While their performance on reasoning and optimization tasks has been extensively evaluated, less attention has been paid to their ability to simulate human…

Computational Engineering, Finance, and Science · Computer Science 2025-08-25 Yuanjun Feng , Vivek Choudhary , Yash Raj Shrestha

Can Large Language Models (AI agents) aggregate dispersed private information through trading and reason about the knowledge of others by observing price movements? We conduct a controlled experiment where AI agents trade in a prediction…

General Economics · Economics 2026-05-08 Spyros Galanis

Zero-shot intent classification is a vital and challenging task in dialogue systems, which aims to deal with numerous fast-emerging unacquainted intents without annotated training data. To obtain more satisfactory performance, the crucial…

Computation and Language · Computer Science 2022-06-07 Han Liu , Siyang Zhao , Xiaotong Zhang , Feng Zhang , Junjie Sun , Hong Yu , Xianchao Zhang