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Formal verification provides a rigorous and systematic approach to ensure the correctness and reliability of software systems. Yet, constructing specifications for the full proof relies on domain expertise and non-trivial manpower. In view…

Software Engineering · Computer Science 2024-04-03 Cheng Wen , Jialun Cao , Jie Su , Zhiwu Xu , Shengchao Qin , Mengda He , Haokun Li , Shing-Chi Cheung , Cong Tian

The Bayesian approach to data analysis provides a powerful way to handle uncertainty in all observations, model parameters, and model structure using probability theory. Probabilistic programming languages make it easier to specify and fit…

This report outlines an approach to learning generative models from data. We express models as probabilistic programs, which allows us to capture abstract patterns within the examples. By choosing our language for programs to be an…

Artificial Intelligence · Computer Science 2011-10-27 Irvin Hwang , Andreas Stuhlmüller , Noah D. Goodman

This work offers a broad perspective on probabilistic modeling and inference in light of recent advances in probabilistic programming, in which models are formally expressed in Turing-complete programming languages. We consider a typical…

Machine Learning · Statistics 2020-04-20 Lawrence M. Murray , Thomas B. Schön

Probabilistic programming languages are valuable because they allow domain experts to express probabilistic models and inference algorithms without worrying about irrelevant details. However, for decades there remained an important and…

Programming Languages · Computer Science 2019-07-03 Rajan Walia , Praveen Narayanan , Jacques Carette , Sam Tobin-Hochstadt , Chung-chieh Shan

Databases are widespread, yet extracting relevant data can be difficult. Without substantial domain knowledge, multivariate search queries often return sparse or uninformative results. This paper introduces an approach for searching…

Artificial Intelligence · Computer Science 2017-04-05 Feras Saad , Leonardo Casarsa , Vikash Mansinghka

Formalisms for specifying statistical models, such as probabilistic-programming languages, typically consist of two components: a specification of a stochastic process (the prior), and a specification of observations that restrict the…

Databases · Computer Science 2015-01-06 Vince Barany , Balder ten Cate , Benny Kimelfeld , Dan Olteanu , Zografoula Vagena

Ensuring the reliability and verifiability of large language model (LLM)-enabled systems remains a significant challenge in software engineering. We propose a probabilistic framework for systematically analyzing and improving these systems…

Software Engineering · Computer Science 2025-04-15 Juan Manuel Baldonado , Flavia Bonomo-Braberman , Víctor Adrián Braberman

An equational logic program is a set of directed equations or rules, which are used to compute in the obvious way (by replacing equals with ``simpler'' equals). We present static analysis techniques for efficient equational logic…

Logic in Computer Science · Computer Science 2007-05-23 Rakesh M. Verma

In embedded control systems, the potential risks of software defects have been increasing because of software complexity which leads to, for example, timing related problems. These defects are rarely found by tests or simulations. To detect…

Logic in Computer Science · Computer Science 2013-01-03 Masahiro Matsubara , Kohei Sakurai , Fumio Narisawa , Masushi Enshoiwa , Yoshio Yamane , Hisamitsu Yamanaka

In this paper we address the complexity of solving linear programming problems with a set of differential equations that converge to a fixed point that represents the optimal solution. Assuming a probabilistic model, where the inputs are…

Computational Complexity · Computer Science 2007-05-23 Asa Ben-Hur , Joshua Feinberg , Shmuel Fishman , Hava T. Siegelmann

Modern language models define distributions over strings, but downstream tasks often require different output formats. For instance, a model that generates byte-pair strings does not directly produce word-level predictions, and a DNA model…

Computation and Language · Computer Science 2026-03-09 Vésteinn Snæbjarnarson , Samuel Kiegeland , Tianyu Liu , Reda Boumasmoud , Ryan Cotterell , Tim Vieira

Probabilistic programming (PP) allows flexible specification of Bayesian statistical models in code. PyMC3 is a new, open-source PP framework with an intutive and readable, yet powerful, syntax that is close to the natural syntax…

Computation · Statistics 2015-07-30 John Salvatier , Thomas Wiecki , Christopher Fonnesbeck

Data cleaning is naturally framed as probabilistic inference in a generative model of ground-truth data and likely errors, but the diversity of real-world error patterns and the hardness of inference make Bayesian approaches difficult to…

Machine Learning · Computer Science 2022-11-22 Alexander K. Lew , Monica Agrawal , David Sontag , Vikash K. Mansinghka

To be practically useful, modern static analyzers must precisely model the effect of both, statements in the programming language as well as frameworks used by the program under analysis. While important, manually addressing these…

Programming Languages · Computer Science 2017-06-27 Pavol Bielik , Veselin Raychev , Martin Vechev

Probabilistic model checking is a widely used formal verification technique to automatically verify qualitative and quantitative properties for probabilistic models. However, capturing such systems, writing corresponding properties, and…

Logic in Computer Science · Computer Science 2024-03-04 Kangfeng Ye , Fang Yan , Simos Gerasimou

Probabilistic models often have parameters that can be translated, scaled, permuted, or otherwise transformed without changing the model. These symmetries can lead to strong correlation and multimodality in the posterior distribution over…

Machine Learning · Statistics 2013-12-20 Robert Nishihara , Thomas Minka , Daniel Tarlow

Computer experiments are becoming increasingly important in scientific investigations. In the presence of uncertainty, analysts employ probabilistic sensitivity methods to identify the key-drivers of change in the quantities of interest.…

Methodology · Statistics 2024-07-02 Isadora Antoniano-Villalobos , Emanuele Borgonovo , Xuefei Lu

Probabilistic logic programs are logic programs in which some of the facts are annotated with probabilities. This paper investigates how classical inference and learning tasks known from the graphical model community can be tackled for…

Artificial Intelligence · Computer Science 2020-02-19 Daan Fierens , Guy Van den Broeck , Joris Renkens , Dimitar Shterionov , Bernd Gutmann , Ingo Thon , Gerda Janssens , Luc De Raedt

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

Artificial Intelligence · Computer Science 2009-03-09 S. Armagan Tarim , Suresh Manandhar , Toby Walsh
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