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This article develops a novel operational semantics for probabilistic control-flow graphs (pCFGs) of probabilistic imperative programs with random assignment and "observe" (or conditioning) statements. The semantics transforms probability…

Programming Languages · Computer Science 2017-11-08 Torben Amtoft , Anindya Banerjee

This text presents an unified approach of probability and statistics in the pursuit of understanding and computation of randomness in engineering or physical or social system with prediction with generalizability. Starting from elementary…

History and Overview · Mathematics 2024-01-19 Lakshman Mahto

Probabilistic programming languages rely fundamentally on some notion of sampling, and this is doubly true for probabilistic programming languages which perform Bayesian inference using Monte Carlo techniques. Verifying samplers - proving…

Programming Languages · Computer Science 2023-04-27 Fredrik Dahlqvist , Alexandra Silva , William Smith

The task of rationalization aims to extract pieces of input text as rationales to justify neural network predictions on text classification tasks. By definition, rationales represent key text pieces used for prediction and thus should have…

Computation and Language · Computer Science 2021-06-02 Yongfeng Huang , Yujun Chen , Yulun Du , Zhilin Yang

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

Probabilistic forecasts in the form of probability distributions over future events have become popular in several fields including meteorology, hydrology, economics, and demography. In typical applications, many alternative statistical…

Computation · Statistics 2018-07-31 Alexander Jordan , Fabian Krüger , Sebastian Lerch

We propose a novel distribution-free scheme to solve optimization problems where the goal is to minimize the expected value of a cost function subject to probabilistic constraints. Unlike standard sampling-based methods, our idea consists…

Optimization and Control · Mathematics 2025-05-28 Francesco Cordiano , Matin Jafarian , Bart De Schutter

We propose a notion of complexity for oriented conditional term rewrite systems satisfying certain restrictions. This notion is realistic in the sense that it measures not only successful computations, but also partial computations that…

Logic in Computer Science · Computer Science 2019-03-14 Cynthia Kop , Aart Middeldorp , Thomas Sternagel

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

Functional Distributional Semantics provides a computationally tractable framework for learning truth-conditional semantics from a corpus. Previous work in this framework has provided a probabilistic version of first-order logic, recasting…

Computation and Language · Computer Science 2020-06-05 Guy Emerson

Increasing amounts of available data have led to a heightened need for representing large-scale probabilistic knowledge bases. One approach is to use a probabilistic database, a model with strong assumptions that allow for efficiently…

Artificial Intelligence · Computer Science 2019-04-04 Tal Friedman , Guy Van den Broeck

Probabilistic modeling enables combining domain knowledge with learning from data, thereby supporting learning from fewer training instances than purely data-driven methods. However, learning probabilistic models is difficult and has not…

Machine Learning · Computer Science 2017-05-17 Avi Pfeffer

Segmental structure is a common pattern in many types of sequences such as phrases in human languages. In this paper, we present a probabilistic model for sequences via their segmentations. The probability of a segmented sequence is…

Machine Learning · Statistics 2018-07-20 Chong Wang , Yining Wang , Po-Sen Huang , Abdelrahman Mohamed , Dengyong Zhou , Li Deng

Motivated by questions from program transformations, eight notions of isomorphisms between term rewriting systems are defined, analysed, and classified. The notions include global isomorphisms, where the renaming of variables and function…

Logic in Computer Science · Computer Science 2022-12-01 Michael Christian Fink Amores , David Sabel

The field of probabilistic logic programming (PLP) focuses on integrating probabilistic models into programming languages based on logic. Over the past 30 years, numerous languages and frameworks have been developed for modeling, inference…

Artificial Intelligence · Computer Science 2024-02-22 Vincent Derkinderen , Robin Manhaeve , Pedro Zuidberg Dos Martires , Luc De Raedt

We introduce recurrent neural network grammars, probabilistic models of sentences with explicit phrase structure. We explain efficient inference procedures that allow application to both parsing and language modeling. Experiments show that…

Computation and Language · Computer Science 2016-10-13 Chris Dyer , Adhiguna Kuncoro , Miguel Ballesteros , Noah A. Smith

We introduce the notion of a stochastic probabilistic program and present a reference implementation of a probabilistic programming facility supporting specification of stochastic probabilistic programs and inference in them. Stochastic…

Machine Learning · Statistics 2020-01-23 David Tolpin , Tomer Dobkin

In this paper a class of optimization problems with uncertain linear constraints is discussed. It is assumed that the constraint coefficients are random vectors whose probability distributions are only partially known. Possibility theory is…

Optimization and Control · Mathematics 2021-11-30 Romain Guillaume , Adam Kasperski , Pawel Zielinski

This paper begins with a description of methods for estimating image probability density functions that reflects the observation that such data is usually constrained to lie in restricted regions of the high-dimensional image space-not…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Peter Tu , Zhaoyuan Yang , Richard Hartley , Zhiwei Xu , Jing Zhang , Yiwei Fu , Dylan Campbell , Jaskirat Singh , Tianyu Wang

We present a new symbolic execution semantics of probabilistic programs that include observe statements and sampling from continuous distributions. Building on Kozen's seminal work, this symbolic semantics consists of a countable collection…

Programming Languages · Computer Science 2023-07-20 Erik Voogd , Einar Broch Johnsen , Alexandra Silva , Zachary J. Susag , Andrzej Wąsowski