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The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

Statistics Theory · Mathematics 2012-02-24 Alois Kneip , Pascal Sarda

Event-B is a formal approach oriented to system modeling and analysis. It supports refinement mechanism that enables stepwise modeling and verification of a system. By using refinement, the complexity of verification can be spread and…

Software Engineering · Computer Science 2012-10-29 Tsutomu Kobayashi , Shinichi Honiden

The adoption of machine learning in high-stakes applications such as healthcare and law has lagged in part because predictions are not accompanied by explanations comprehensible to the domain user, who often holds the ultimate…

This paper introduces an explanation framework designed to enhance the quality of rules in knowledge-based reasoning systems based on dataset-driven insights. The traditional method for rule induction from data typically requires…

Artificial Intelligence · Computer Science 2025-02-04 Oshani Seneviratne , Brendan Capuzzo , William Van Woensel

Recent model-free reinforcement learning algorithms have proposed incorporating learned dynamics models as a source of additional data with the intention of reducing sample complexity. Such methods hold the promise of incorporating imagined…

Machine Learning · Computer Science 2018-03-02 Vladimir Feinberg , Alvin Wan , Ion Stoica , Michael I. Jordan , Joseph E. Gonzalez , Sergey Levine

Interpretable classification models are built with the purpose of providing a comprehensible description of the decision logic to an external oversight agent. When considered in isolation, a decision tree, a set of classification rules, or…

Machine Learning · Computer Science 2019-03-18 Riccardo Guidotti , Salvatore Ruggieri

Regression plays a key role in many research areas and its variable selection is a classic and major problem. This study emphasizes cost of predictors to be purchased for future use, when we select a subset of them. Its economic aspect is…

Methodology · Statistics 2021-03-19 Steven N. MacEachern , Koji Miyawaki

In this paper, we offer a guide for researchers on evaluating reasoning in language models, building the case that reasoning should be assessed through evidence of adaptive, multi-step search rather than final-answer accuracy alone. Under…

Artificial Intelligence · Computer Science 2026-05-05 Munachiso Samuel Nwadike , Zangir Iklassov , Kareem Ali , Rifo Genadi , Kentaro Inui

This work introduces the novel concept of kind refinement, which we develop in the context of an explicitly polymorphic ML-like language with type-level computation. Just as type refinements embed rich specifications by means of…

Programming Languages · Computer Science 2019-08-02 Luís Caires , Bernardo Toninho

Errors in variables (Deming) regression of measurements spanning a wide range of values requires appropriate weighting to reflect nonconstant variance. Precision profile models, mathematical relationships between measurement variance and…

Computation · Statistics 2025-08-06 Douglas M Hawkins , Jessica J Kraker

Refinement based formal methods allow the modelling of systems through incremental steps via abstraction. Discovering the right levels of abstraction, formulating correct and meaningful invariants, and analysing faulty models are some of…

Software Engineering · Computer Science 2016-03-03 Gudmund Grov , Andrew Ireland , Maria Teresa Llano , Peter Kovacs , Simon Colton , Jeremy Gow

Scaling the test-time compute of large language models has demonstrated impressive performance on reasoning benchmarks. However, existing evaluations of test-time scaling make the strong assumption that a reasoning system should always give…

Computation and Language · Computer Science 2025-07-21 William Jurayj , Jeffrey Cheng , Benjamin Van Durme

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

Statistics Theory · Mathematics 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

It has previously been shown that response transformations can be very effective in improving dimension reduction outcomes for a continuous response. The choice of transformation used can make a big difference in the visualization of the…

Methodology · Statistics 2021-07-01 Marina Masioti , Luke A. Prendergast , Amanda Shaker

As language model (LM) outputs get more and more natural, it is becoming more difficult than ever to evaluate their quality. Simultaneously, increasing LMs' "thinking" time through scaling test-time compute has proven an effective technique…

Many development decisions affect the results obtained from ML experiments: training data, features, model architecture, hyperparameters, test data, etc. Among these aspects, arguably the most important design decisions are those that…

Machine Learning · Computer Science 2024-12-06 Luciana Ferrer , Odette Scharenborg , Tom Bäckström

Artificial Intelligence models are increasingly used in manufacturing to inform decision-making. Responsible decision-making requires accurate forecasts and an understanding of the models' behavior. Furthermore, the insights into models'…

Artificial Intelligence · Computer Science 2022-04-13 Jože M. Rožanec , Elena Trajkova , Inna Novalija , Patrik Zajec , Klemen Kenda , Blaž Fortuna , Dunja Mladenić

Refinement calculus is a powerful and expressive tool for reasoning about sequential programs in a compositional manner. In this paper we present an extension of refinement calculus for reactive systems. Refinement calculus is based on…

Software Engineering · Computer Science 2014-06-24 Viorel Preoteasa , Stavros Tripakis

Recent research has shown that smaller language models can acquire substantial reasoning abilities when fine-tuned with reasoning exemplars crafted by a significantly larger teacher model. We explore this paradigm for the financial domain,…

Computation and Language · Computer Science 2024-08-23 Karmvir Singh Phogat , Sai Akhil Puranam , Sridhar Dasaratha , Chetan Harsha , Shashishekar Ramakrishna

Large Language Models (LLMs) with reasoning capabilities have achieved state-of-the-art performance on a wide range of tasks. Despite its empirical success, the tasks and model scales at which reasoning becomes effective, as well as its…

Computation and Language · Computer Science 2025-09-29 Nicolas Boizard , Hippolyte Gisserot-Boukhlef , Kevin El-Haddad , Céline Hudelot , Pierre Colombo