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The C and C++ programming languages are widely used for the implementation of software in critical systems. They are complex languages with subtle features and peculiarities that might baffle even the more expert programmers. Hence, the…

Programming Languages · Computer Science 2022-12-29 Roberto Bagnara , Abramo Bagnara , Patricia M. Hill

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

Metaprogramming enables the generation of performant code, while gradual typing facilitates the smooth migration from untyped scripts to robust statically typed programs. However, combining these features with imperative state -…

Programming Languages · Computer Science 2026-02-24 Tianyu Chen , Darshal Shetty , Jeremy G. Siek , Chao-Hong Chen , Weixi Ma , Arnaud Venet , Rocky Liu

AI/ML methods are increasingly used in economics to generate binary variables (or labels) via classification algorithms. When these generated variables are included as covariates in regressions, even small misclassification errors can…

Econometrics · Economics 2026-04-28 Timothy Christensen , Silvia Goncalves , Benoit Perron

In functional programming, datatypes a la carte provide a convenient modular representation of recursive datatypes, based on their initial algebra semantics. Unfortunately it is highly challenging to implement this technique in proof…

Logic in Computer Science · Computer Science 2015-09-11 Paolo Torrini , Tom Schrijvers

We propose Conformal Mixed-Integer Constraint Learning (C-MICL), a novel framework that provides probabilistic feasibility guarantees for data-driven constraints in optimization problems. While standard Mixed-Integer Constraint Learning…

Machine Learning · Computer Science 2025-06-05 Daniel Ovalle , Lorenz T. Biegler , Ignacio E. Grossmann , Carl D. Laird , Mateo Dulce Rubio

Contextual type theory distinguishes between bound variables and meta-variables to write potentially incomplete terms in the presence of binders. It has found good use as a framework for concise explanations of higher-order unification,…

Logic in Computer Science · Computer Science 2011-11-02 Mathieu Boespflug , Brigitte Pientka

We present a library for generic programming in OCaml, adapting some techniques borrowed from other functional languages. The library makes use of three recent additions to OCaml: generalised abstract datatypes are essential to reflect…

Programming Languages · Computer Science 2019-01-01 Florent Balestrieri , Michel Mauny

Prior work evaluates code generation bias primarily through simple conditional statements, which represent only a narrow slice of real-world programming and reveal solely overt, explicitly encoded bias. We demonstrate that this approach…

Computation and Language · Computer Science 2026-04-24 Minh Duc Bui , Xenia Heilmann , Mattia Cerrato , Manuel Mager , Katharina von der Wense

In the causal adjustment setting, variable selection techniques based on either the outcome or treatment allocation model can result in the omission of confounders or the inclusion of spurious variables in the propensity score. We propose a…

Statistics Theory · Mathematics 2014-06-06 Ashkan Ertefaie , Masoud Asgharian , David A. Stephens

Causal models with unobserved variables impose nontrivial constraints on the distributions over the observed variables. When a common cause of two variables is unobserved, it is impossible to uncover the causal relation between them without…

Statistics Theory · Mathematics 2021-12-14 Beata Zjawin , Elie Wolfe , Robert W. Spekkens

In this study, we address causal inference when only observational data and a valid causal ordering from the causal graph are available. We introduce a set of flow models that can recover component-wise, invertible transformation of…

Machine Learning · Computer Science 2024-12-16 Minh Khoa Le , Kien Do , Truyen Tran

This paper provides a systematic account of the hidden variable models (HVMs) formulated to describe systems of random variables with mutually exclusive contexts. Any such system can be described either by a model with free choice but…

Quantum Physics · Physics 2023-09-19 Ehtibar N. Dzhafarov

We propose a new language feature for ML-family languages, the ability to selectively unbox certain data constructors, so that their runtime representation gets compiled away to just the identity on their argument. Unboxing must be…

Programming Languages · Computer Science 2024-05-10 Nicolas Chataing , Stephen Dolan , Gabriel Scherer , Jeremy Yallop

Programmers often leverage data structure libraries that provide useful and reusable abstractions. Modular verification of programs that make use of these libraries naturally rely on specifications that capture important properties about…

Programming Languages · Computer Science 2022-02-15 Zhe Zhou , Robert Dickerson , Benjamin Delaware , Suresh Jagannathan

We consider the problem of constructing distribution-free prediction sets with finite-sample conditional guarantees. Prior work has shown that it is impossible to provide exact conditional coverage universally in finite samples. Thus, most…

Methodology · Statistics 2024-09-18 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

Inferring causal effects of a treatment, intervention or policy from observational data is central to many applications. However, state-of-the-art methods for causal inference seldom consider the possibility that covariates have missing…

Methodology · Statistics 2020-02-26 Imke Mayer , Julie Josse , Félix Raimundo , Jean-Philippe Vert

In imperative programming, the Domain-Driven Design methodology helps in coping with the complexity of software development by materializing in code the invariants of a domain of interest. Code is cleaner and more secure because any…

Artificial Intelligence · Computer Science 2023-07-14 Mario Alviano , Giovambattista Ianni , Francesco Pacenza , Jessica Zangari

Dependently typed programming languages allow sophisticated properties of data to be expressed within the type system. Of particular use in dependently typed programming are indexed types that refine data by computationally useful…

Logic in Computer Science · Computer Science 2015-07-01 Robert Atkey , Patricia Johann , Neil Ghani

We study the problem of multivariate regression where the data are naturally grouped, and a regression matrix is to be estimated for each group. We propose an approach in which a dictionary of low rank parameter matrices is estimated across…

Machine Learning · Computer Science 2012-07-03 Min Xu , John Lafferty