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We present a domain-theoretic framework for probabilistic programming that provides a constructive definition of conditional probability and addresses computability challenges previously identified in the literature. We introduce a novel…

Logic in Computer Science · Computer Science 2025-02-04 Pietro Di Gianantonio , Abbas Edalat

The estimation of static parameters in dynamical systems and control theory has been extensively studied, with significant progress made in estimating varying parameters in specific system types. Suppose, in the general case, we have data…

Optimization and Control · Mathematics 2025-07-10 Jamiree Harrison , Enoch Yeung

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

Machine Learning · Statistics 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

Static analysis is an essential component of many modern software development tools. Unfortunately, the ever-increasing complexity of static analyzers makes their coding error-prone. Even analysis tools based on rigorous mathematical…

Software Engineering · Computer Science 2025-05-08 Daniela Ferreiro , Ignacio Casso , Jose F. Morales , Pedro López-García , Manuel V. Hermenegildo

Graph representations of programs are commonly a central element of machine learning for code research. We introduce an open source Python library python_graphs that applies static analysis to construct graph representations of Python…

Machine Learning · Computer Science 2022-08-17 David Bieber , Kensen Shi , Petros Maniatis , Charles Sutton , Vincent Hellendoorn , Daniel Johnson , Daniel Tarlow

The verification community has studied dynamic data structures primarily in a bottom-up way by analyzing pointers and the shapes induced by them. Recent work in fields such as separation logic has made significant progress in extracting…

Programming Languages · Computer Science 2014-07-10 Diego Calvanese , Tomer Kotek , Mantas Šimkus , Helmut Veith , Florian Zuleger

Modern languages are equipped with static type checking/inference that helps programmers to keep a clean programming style and to reduce errors. However, the ever-growing size of programs and their continuous evolution require building fast…

Programming Languages · Computer Science 2018-11-28 Matteo Busi , Pierpaolo Degano , Letterio Galletta

We present a static analysis for discovering differentiable or more generally smooth parts of a given probabilistic program, and show how the analysis can be used to improve the pathwise gradient estimator, one of the most popular methods…

Programming Languages · Computer Science 2022-11-15 Wonyeol Lee , Xavier Rival , Hongseok Yang

In this paper, we present a novel marriage of static and dynamic analysis. Given a large code base with many functions and a mature test suite, we propose using static analysis to find functions 1) with assertions or other evident…

Software Engineering · Computer Science 2016-09-22 Mohammad Amin Alipour , Alex Groce , Chaoqiang Zhang , Anahita Sanadaji , Gokul Caushik

Morphological development into evolutionary patterns under structural instability is ubiquitous in living systems and often of vital importance for engineering structures. Here we propose a data-driven approach to understand and predict…

Pattern Formation and Solitons · Physics 2024-07-23 Yingjie Zhao , Zhiping Xu

The rapid expansion in the size of new datasets has created a need for fast and efficient parameter-learning techniques. Compressive learning is a framework that enables efficient processing by using random, non-linear features to project…

Machine Learning · Computer Science 2025-08-18 Daniel Mas Montserrat , David Bonet , Maria Perera , Xavier Giró-i-Nieto , Alexander G. Ioannidis

Static analysis remains one of the most popular approaches for detecting and correcting poor or vulnerable program code. It involves the examination of code listings, test results, or other documentation to identify errors, violations of…

Artificial Intelligence · Computer Science 2021-08-27 Fitzroy D. Nembhard , Marco M. Carvalho

Many example-guided program synthesis techniques use abstractions to prune the search space. While abstraction-based synthesis has proven to be very powerful, a domain expert needs to provide a suitable abstract domain, together with the…

Programming Languages · Computer Science 2018-04-13 Xinyu Wang , Greg Anderson , Isil Dillig , K. L. McMillan

We propose a procedure for automated implicit inductive theorem proving for equational specifications made of rewrite rules with conditions and constraints. The constraints are interpreted over constructor terms (representing data values),…

Logic in Computer Science · Computer Science 2008-12-01 Adel Bouhoula , Florent Jacquemard

Dimension of the encoder output (i.e., the code layer) in an autoencoder is a key hyper-parameter for representing the input data in a proper space. This dimension must be carefully selected in order to guarantee the desired reconstruction…

Machine Learning · Computer Science 2021-02-02 Pedram Fekri , Ali Akbar Safavi , Mehrdad Hosseini Zadeh , Peyman Setoodeh

We develop an inductive proof-technique to generate imperative programs for pointer data structures from behavioural specifications expressed in the Answer Set Programming (ASP) formalism. ASP is a non-monotonic logic based formalism that…

Logic in Computer Science · Computer Science 2020-08-14 Sarat Chandra Varanasi , Neeraj Mittal , Gopal Gupta

Automating quality inspection with computer vision techniques is often a very data-demanding task. Specifically, supervised deep learning requires a large amount of annotated images for training. In practice, collecting and annotating such…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Antoine Cordier , Pierre Gutierrez , Victoire Plessis

We present a general model allowing static analysis based on abstract interpretation for systems of communicating processes. Our technique, inspired by Regular Model Checking, represents set of program states as lattice automata and…

Software Engineering · Computer Science 2016-11-29 Vincent Botbol , Emmanuel Chailloux , Tristan Le Gall

Learning controllable and generalizable representation of multivariate data with desired structural properties remains a fundamental problem in machine learning. In this paper, we present a novel framework for learning generative models…

Machine Learning · Computer Science 2020-10-05 Ruixiang Zhang , Masanori Koyama , Katsuhiko Ishiguro

This paper presents a new numerical abstract domain for static analysis by abstract interpretation. This domain allows us to represent invariants of the form (x-y<=c) and (+/-x<=c), where x and y are variables values and c is an integer or…

Programming Languages · Computer Science 2016-08-14 Antoine Miné