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Large language models (LLMs) have exhibited impressive competence in various tasks, but their internal mechanisms on mathematical problems are still under-explored. In this paper, we study a fundamental question: how language models encode…

Computation and Language · Computer Science 2024-11-15 Fangwei Zhu , Damai Dai , Zhifang Sui

Large language models (LLMs) increasingly help people solve problems, from debugging code to repairing machinery. This process requires generating plausible hypotheses from partial descriptions, then updating them as more information…

Machine Learning · Computer Science 2026-05-08 Hua-Dong Xiong

This paper is a first step to chase the ambitious objective of developing a mathmatical theory of living systems. The contents refer modeling large systems of interacting living entities with the aim of describing their collective behaviors…

A key challenge in developing and deploying Machine Learning (ML) systems is understanding their performance across a wide range of inputs. To address this challenge, we created the What-If Tool, an open-source application that allows…

Machine Learning · Computer Science 2019-10-04 James Wexler , Mahima Pushkarna , Tolga Bolukbasi , Martin Wattenberg , Fernanda Viegas , Jimbo Wilson

One approach for feedback control using high dimensional and rich sensor measurements is to classify the measurement into one out of a finite set of situations, each situation corresponding to a (known) control action. This approach…

Optimization and Control · Mathematics 2019-03-12 Hasan A. Poonawala , Niklas Lauffer , Ufuk Topcu

How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

Developing and fielding complex systems requires proof that they are reliably correct with respect to their design and operating requirements. Especially for autonomous systems which exhibit unanticipated emergent behavior, fully…

Software Engineering · Computer Science 2024-02-28 Matthew Litton , Doron Drusinsky , James Bret Michael

Many biological systems dynamically rearrange their components through a sequence of configurations in order to perform their functions. Such dynamic processes have been studied using network models that sequentially retrieve a set of…

Statistical Mechanics · Physics 2022-12-01 Lukas Herron , Pablo Sartori , BingKan Xue

Machine Learning (ML) and its applications have been transforming our lives but it is also creating issues related to the development of fair, accountable, transparent, and ethical Artificial Intelligence. As the ML models are not fully…

Applications · Statistics 2021-06-30 Yihuang Kang , Yi-Wen Chiu , Ming-Yen Lin , Fang-yi Su , Sheng-Tai Huang

Minimal models of a Boolean formula play a pivotal role in various reasoning tasks. While previous research has primarily focused on qualitative analysis over minimal models; our study concentrates on the quantitative aspect, specifically…

Logic in Computer Science · Computer Science 2024-07-17 Mohimenul Kabir , Kuldeep S Meel

Closed-loop learning is the process of repeatedly estimating a model from data generated from the model itself. It is receiving great attention due to the possibility that large neural network models may, in the future, be primarily trained…

Machine Learning · Computer Science 2025-07-10 Fariba Jangjoo , Matteo Marsili , Yasser Roudi

We present an exact approach to analyze and quantify the sensitivity of higher moments of probabilistic loops with symbolic parameters, polynomial arithmetic and potentially uncountable state spaces. Our approach integrates methods from…

Programming Languages · Computer Science 2023-09-06 Marcel Moosbrugger , Julian Müllner , Laura Kovács

We study the problem of high-dimensional regression when there may be interacting variables. Approaches using sparsity-inducing penalty functions such as the Lasso can be useful for producing interpretable models. However, when the number…

Methodology · Statistics 2016-12-30 Rajen D. Shah

Recently, efficient fine-tuning of large-scale pre-trained models has attracted increasing research interests, where linear probing (LP) as a fundamental module is involved in exploiting the final representations for task-dependent…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Mingze Gao , Qilong Wang , Zhenyi Lin , Pengfei Zhu , Qinghua Hu , Jingbo Zhou

Large language models have shown remarkable reasoning abilities and scaling laws suggest that large parameter count, especially along the depth axis, is the primary driver. In this work, we make a stronger claim -- many reasoning problems…

Computation and Language · Computer Science 2025-02-25 Nikunj Saunshi , Nishanth Dikkala , Zhiyuan Li , Sanjiv Kumar , Sashank J. Reddi

Traditional end-of-quarter surveys often fail to provide instructors with timely, detailed, and actionable feedback about their teaching. In this paper, we explore how Large Language Model (LLM)-powered chatbots can reimagine the classroom…

Computers and Society · Computer Science 2025-08-19 Sai Siddartha Maram , Ulia Zaman , Magy Seif El-Nasr

Within a general cluster framework, we discuss the loop-algorithm, a new type of cluster algorithm that reduces critical slowing down in vertex models and in quantum spin systems. We cover the example of the 6-vertex model in detail. For…

Condensed Matter · Physics 2007-05-23 H. G. Evertz , M. Marcu

Many automated system analysis techniques (e.g., model checking, model-based testing) rely on first obtaining a model of the system under analysis. System modeling is often done manually, which is often considered as a hindrance to adopt…

Software Engineering · Computer Science 2019-11-22 Jingyi Wang , Jun Sun , Qixia Yuan , Jun Pang

Fueled by motion prediction competitions and benchmarks, recent years have seen the emergence of increasingly large learning based prediction models, many with millions of parameters, focused on improving open-loop prediction accuracy by…

Machine Learning explainability techniques have been proposed as a means of `explaining' or interrogating a model in order to understand why a particular decision or prediction has been made. Such an ability is especially important at a…

Machine Learning · Statistics 2022-02-28 Matthew J. Vowels