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We propose robust methods for inference on the effect of a treatment variable on a scalar outcome in the presence of very many controls. Our setting is a partially linear model with possibly non-Gaussian and heteroscedastic disturbances.…

Methodology · Statistics 2017-10-05 Alexandre Belloni , Victor Chernozhukov , Christian Hansen

We explore the connection between an agent's decision problem and her ranking of information structures. We find that a finite amount of ordinal data on the agent's ranking of experiments is enough to identify her (finite) set of…

Theoretical Economics · Economics 2024-04-02 Mark Whitmeyer

We study a subclass of POMDPs, called Deterministic POMDPs, that is characterized by deterministic actions and observations. These models do not provide the same generality of POMDPs yet they capture a number of interesting and challenging…

Artificial Intelligence · Computer Science 2012-05-14 Blai Bonet

The study of word equations (or the existential theory of equations over free monoids) is a central topic in mathematics and theoretical computer science. The problem of deciding whether a given word equation has a solution was shown to be…

Logic in Computer Science · Computer Science 2018-02-05 Joel Day , Vijay Ganesh , Paul He , Florin Manea , Dirk Nowotka

In solving a query, the SLD proof procedure for definite programs sometimes searches an infinite space for a non existing solution. For example, querying a planner for an unreachable goal state. Such programs motivate the development of…

Logic in Computer Science · Computer Science 2007-05-23 Maurice Bruynooghe , Henk Vandecasteele , D. Andre de Waal , Marc Denecker

On a variety of complex decision-making tasks, from doctors prescribing treatment to judges setting bail, machine learning algorithms have been shown to outperform expert human judgments. One complication, however, is that it is often…

Methodology · Statistics 2018-05-07 Jongbin Jung , Ravi Shroff , Avi Feller , Sharad Goel

We address the problem of complementing higher-order patterns without repetitions of existential variables. Differently from the first-order case, the complement of a pattern cannot, in general, be described by a pattern, or even by a…

Logic in Computer Science · Computer Science 2008-10-22 Alberto Momigliano , Frank Pfenning

We investigate the power of non-determinism in purely functional programming languages with higher-order types. Specifically, we consider cons-free programs of varying data orders, equipped with explicit non-deterministic choice.…

Computational Complexity · Computer Science 2017-01-31 Cynthia Kop , Jakob Grue Simonsen

Algebraic effects and handlers have emerged in the programming languages community as a convenient, modular abstraction for controlling computational effects. They have found several applications including concurrent programming, meta…

Programming Languages · Computer Science 2018-11-16 Dave Moore , Maria I. Gorinova

The Curry-Howard correspondence is about a relationship between types and programs on the one hand and propositions and proofs on the other. The implications for programming language design and program verification is an active field of…

Programming Languages · Computer Science 2015-09-15 Jørgen Steensgaard-Madsen

The inevitable incompleteness of any collection of PMESII models, along with poorly understood methods for combining heterogeneous models, leads to major uncertainty regarding the reliability of computational tools. This uncertainty is…

Computers and Society · Computer Science 2016-07-25 Alexander Kott , Stephen Morse

First-order logic, and quantifiers in particular, are widely used in deductive verification. Quantifiers are essential for describing systems with unbounded domains, but prove difficult for automated solvers. Significant effort has been…

Logic in Computer Science · Computer Science 2024-09-11 Neta Elad , Oded Padon , Sharon Shoham

Every definite logic program has as its meaning a least Herbrand model with respect to the program-independent ordering "set-inclusion". In the case of normal logic programs there do not exist least models in general. However, according to…

Logic in Computer Science · Computer Science 2011-09-01 Rainer Lüdecke

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-04-17 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

We consider the termination/non-termination property of a class of loops. Such loops are commonly used abstractions of real program pieces. Second-order logic is a convenient language to express non-termination. Of course, such property is…

Logic in Computer Science · Computer Science 2014-12-11 Fred Mesnard , Etienne Payet

In this paper we describe how to leverage higher-order unification to type check a dependently typed language with meta-variables. The literature usually presents the unification algorithm as a standalone component, however the need to…

Programming Languages · Computer Science 2016-10-03 Francesco Mazzoli , Andreas Abel

Tractability results for the model checking problem of logics yield powerful algorithmic meta theorems of the form: Every computational problem expressible in a logic $L$ can be solved efficiently on every class $\mathscr{C}$ of structures…

Logic in Computer Science · Computer Science 2024-11-26 Sebastian Siebertz , Alexandre Vigny

Linearisability is a central notion for verifying concurrent libraries: a given library is proven safe if its operational history can be rearranged into a new sequential one which, in addition, satisfies a given specification.…

Programming Languages · Computer Science 2016-10-26 Andrzej S. Murawski , Nikos Tzevelekos

Consider the problem of estimating average treatment effects when a large number of covariates are used to adjust for possible confounding through outcome regression and propensity score models. The conventional approach of model building…

Statistics Theory · Mathematics 2018-01-31 Zhiqiang Tan

The ubiquity of machine learning based predictive models in modern society naturally leads people to ask how trustworthy those models are? In predictive modeling, it is quite common to induce a trade-off between accuracy and…

Machine Learning · Computer Science 2019-04-05 John Mitros , Brian Mac Namee
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