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The estimation of the guessing probability has paramount importance in quantum cryptographic processes. It can also be used as a witness for nonlocal correlations. In most of the studied scenarios, estimating the guessing probability…

Quantum Physics · Physics 2022-12-19 Sarnava Datta , Hermann Kampermann , Dagmar Bruß

Probabilistic programming languages (PPLs) are powerful modelling tools which allow to formalise our knowledge about the world and reason about its inherent uncertainty. Inference methods used in PPL can be computationally costly due to…

To model combinatorial decision problems involving uncertainty and probability, we introduce stochastic constraint programming. Stochastic constraint programs contain both decision variables (which we can set) and stochastic variables…

Artificial Intelligence · Computer Science 2009-03-09 Toby Walsh

The execution behavior of a program often depends on external resources, such as program inputs or file contents, and so cannot be run in isolation. Nevertheless, software developers benefit from fast iteration loops where automated tools…

Machine Learning · Computer Science 2022-03-30 David Bieber , Rishab Goel , Daniel Zheng , Hugo Larochelle , Daniel Tarlow

The automatic selection of an appropriate time step size has been considered extensively in the literature. However, most of the strategies developed operate under the assumption that the computational cost (per time step) is independent of…

Numerical Analysis · Mathematics 2018-08-14 Lukas Einkemmer

We present the first nontrivial procedure for configuring heuristic algorithms to maximize the utility provided to their end users while also offering theoretical guarantees about performance. Existing procedures seek configurations that…

Artificial Intelligence · Computer Science 2023-11-01 Devon R. Graham , Kevin Leyton-Brown , Tim Roughgarden

Much algorithmic research in NLP aims to efficiently manipulate rich formal structures. An algorithm designer typically seeks to provide guarantees about their proposed algorithm -- for example, that its running time or space complexity is…

Programming Languages · Computer Science 2025-12-30 Tim Vieira , Ryan Cotterell , Jason Eisner

Many of today's probabilistic programming languages (PPLs) have brittle inference performance: the performance of the underlying inference algorithm is very sensitive to the precise way in which the probabilistic program is written. A…

Artificial Intelligence · Computer Science 2023-02-22 Ellie Y. Cheng , Todd Millstein , Guy Van den Broeck , Steven Holtzen

This paper considers the computational hardness of computing expected outcomes and deciding almost-sure termination of probabilistic programs. We show that deciding almost-sure termination and deciding whether the expected outcome of a…

Logic in Computer Science · Computer Science 2014-10-28 Benjamin Lucien Kaminski , Joost-Pieter Katoen

We propose design guidelines for a probabilistic programming facility suitable for deployment as a part of a production software system. As a reference implementation, we introduce Infergo, a probabilistic programming facility for Go, a…

Programming Languages · Computer Science 2019-06-27 David Tolpin

Arithmetic constraints on integer intervals are supported in many constraint programming systems. We study here a number of approaches to implement constraint propagation for these constraints. To describe them we introduce integer interval…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt , Peter Zoeteweij

This article introduces GuessCompx which is an R package that performs an empirical estimation on the time and memory complexities of an algorithm or a function. It tests multiple increasing-sizes samples of the user's data and attempts to…

Data Structures and Algorithms · Computer Science 2020-10-22 Marc Agenis-Nevers , Neeraj Dhanraj Bokde , Zaher Mundher Yaseen , Mayur Shende

The standard approach to analyzing the asymptotic complexity of probabilistic programs is based on studying the asymptotic growth of certain expected values (such as the expected termination time) for increasing input size. We argue that…

Formal Languages and Automata Theory · Computer Science 2023-07-13 Michal Ajdarów , Antonín Kučera

It is believed that mechanisms including intermediate values enable composable inductive programming (CIP) to be used to produce software of any size. We present the results of a study that investigated the relationships between program…

Programming Languages · Computer Science 2021-07-06 Edward McDaid , Sarah McDaid

We consider reusing established non-probabilistic output analyses (either forward or backwards) that yield over-approximations of a program's pre-image or image relation, e.g., interval analyses. We assume a probability measure over the…

Programming Languages · Computer Science 2020-01-22 Maja Hanne Kirkeby

We address the common problem of calculating intervals in the presence of systematic uncertainties. We aim to investigate several approaches, but here describe just a Bayesian technique for setting upper limits. The particular example we…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Joel Heinrich , Craig Blocker , John Conway , Luc Demortier , Louis Lyons , Giovanni Punzi , Pekka K. Sinervo

Probabilistic programming systems enable users to encode model structure and naturally reason about uncertainties, which can be leveraged towards improved Bayesian optimization (BO) methods. Here we present a probabilistic program embedding…

Artificial Intelligence · Computer Science 2019-02-06 Alexander Lavin

Over the years, integer linear programs have been employed to model inference in many natural language processing problems. This survey is meant to guide the reader through the process of framing a new inference problem as an instance of an…

Artificial Intelligence · Computer Science 2023-07-04 Vivek Srikumar , Dan Roth

Recursive calls over recursive data are useful for generating probability distributions, and probabilistic programming allows computations over these distributions to be expressed in a modular and intuitive way. Exact inference is also…

Programming Languages · Computer Science 2023-03-28 David Chiang , Colin McDonald , Chung-chieh Shan

Interval linear programming provides a tool for solving real-world optimization problems under interval-valued uncertainty. Instead of approximating or estimating crisp input data, the coefficients of an interval program may perturb…

Optimization and Control · Mathematics 2025-10-08 Elif Garajová , Milan Hladík , Miroslav Rada
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