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Probabilistic programming and the formal analysis of probabilistic algorithms are active areas of research, driven by the widespread use of randomness to improve performance. While functional correctness has seen substantial progress,…

Logic in Computer Science · Computer Science 2025-08-21 Matthias Hetzenberger , Georg Moser , Florian Zuleger

The estimation and control of resource usage is now an important challenge in an increasing number of computing systems. In particular, requirements on timing and energy arise in a wide variety of applications such as internet of things,…

Programming Languages · Computer Science 2019-08-01 Maximiliano Klemen , Pedro Lopez-Garcia , John P. Gallagher , Jose F. Morales , Manuel V. Hermenegildo

Many real-world data mining applications need varying cost for different types of classification errors and thus call for cost-sensitive classification algorithms. Existing algorithms for cost-sensitive classification are successful in…

Machine Learning · Computer Science 2017-10-27 Te-Kang Jan , Da-Wei Wang , Chi-Hung Lin , Hsuan-Tien Lin

The Automatic Amortized Resource Analysis (AARA) derives program-execution cost bounds using types. To do so, AARA often makes use of cost-free types, which are critical for the composition of types and cost bounds. However, inferring…

Programming Languages · Computer Science 2025-09-30 David M Kahn , Jan Hoffmann , Thomas Reps , Jessie Grosen

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

Probabilistic programs provide an expressive representation language for generative models. Given a probabilistic program, we are interested in the task of posterior inference: estimating a latent variable given a set of observed variables.…

Machine Learning · Computer Science 2022-09-01 Mike Wu , Noah Goodman

Adversarial computations are a widely studied class of computations where resource-bounded probabilistic adversaries have access to oracles, i.e., probabilistic procedures with private state. These computations arise routinely in several…

Logic in Computer Science · Computer Science 2021-07-13 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Shin-ya Katsumata , Tetsuya Sato

In this vision paper, we explore the challenges and opportunities of a form of computation that employs an empirical (rather than a formal) approach, where the solution of a computational problem is returned as empirically most likely…

Software Engineering · Computer Science 2025-03-17 Eric Tang , Marcel Böhme

In this paper, we present the first fully-automated expected amortised cost analysis of self-adjusting data structures, that is, of randomised splay trees, randomised splay heaps and randomised meldable heaps, which so far have only (semi-)…

Logic in Computer Science · Computer Science 2024-06-04 Lorenz Leutgeb , Georg Moser , Florian Zuleger

We study off-policy evaluation (OPE) in the problem of slate contextual bandits where a policy selects multi-dimensional actions known as slates. This problem is widespread in recommender systems, search engines, marketing, to medical…

Machine Learning · Statistics 2024-02-20 Haruka Kiyohara , Masahiro Nomura , Yuta Saito

Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination,…

Numerical Analysis · Mathematics 2025-06-24 Chai Wah Wu , Mark S. Squillante , Vasileios Kalantzis , Lior Horesh

Reasoning about the cost of executing programs is one of the fundamental questions in computer science. In the context of programming with probabilities, however, the notion of cost stops being deterministic, since it depends on the…

Programming Languages · Computer Science 2025-02-28 Pedro H. Azevedo de Amorim

We present a semantics based framework for analysing the quantitative behaviour of programs with regard to resource usage. We start from an operational semantics equipped with costs. The dioid structure of the set of costs allows for…

Logic in Computer Science · Computer Science 2010-06-29 David Cachera , Arnaud Jobin

As machine learning models are increasingly being employed to make consequential decisions in real-world settings, it becomes critical to ensure that individuals who are adversely impacted (e.g., loan denied) by the predictions of these…

Machine Learning · Computer Science 2023-10-12 Martin Pawelczyk , Teresa Datta , Johannes van-den-Heuvel , Gjergji Kasneci , Himabindu Lakkaraju

This paper presents a novel algorithm, the particle-based, rapid incremental smoother (PaRIS), for efficient online approximation of smoothed expectations of additive state functionals in general hidden Markov models. The algorithm, which…

Computation · Statistics 2014-12-25 Jimmy Olsson , Johan Westerborn

Estimating the parameters of general state-space models is a topic of importance for many scientific and engineering disciplines. In this paper we present an online parameter estimation algorithm obtained by casting our recently proposed…

Computation · Statistics 2016-02-25 Jimmy Olsson , Johan Westerborn

Probabilistic inference is fundamentally hard, yet many tasks require optimization on top of inference, which is even harder. We present a new optimization-via-compilation strategy to scalably solve a certain class of such problems. In…

Programming Languages · Computer Science 2025-04-11 Minsung Cho , John Gouwar , Steven Holtzen

In several applications of automatic diagnosis and active learning a central problem is the evaluation of a discrete function by adaptively querying the values of its variables until the values read uniquely determine the value of the…

Data Structures and Algorithms · Computer Science 2014-07-29 Ferdinando Cicalese , Eduardo Laber , Aline Medeiros Saettler

The proposed framework provides a general model of concurrent imperative programming. Programs are modeled as formal languages and concurrency as an interleaving (or shuffle) operator. This yields a simple and elegant algebra of programs.…

Programming Languages · Computer Science 2012-09-11 Stephan van Staden

Probabilistic couplings are the foundation for many probabilistic relational program logics and arise when relating random sampling statements across two programs. In relational program logics, this manifests as dedicated coupling rules…

Logic in Computer Science · Computer Science 2023-11-15 Simon Oddershede Gregersen , Alejandro Aguirre , Philipp G. Haselwarter , Joseph Tassarotti , Lars Birkedal