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Estimation of parameters that obey specific constraints is crucial in statistics and machine learning; for example, when parameters are required to satisfy boundedness, monotonicity, or linear inequalities. Traditional approaches impose…

Methodology · Statistics 2026-04-03 Lachlan Astfalck , Deborshee Sen , Sayan Patra , Edward Cripps , David Dunson

Coherent lower previsions are general probabilistic models allowing incompletely specified probability distributions. However, for complete description of a coherent lower prevision -- even on finite underlying sample spaces -- an infinite…

Probability · Mathematics 2022-09-29 Damjan Škulj

Approximate inference in probability models is a fundamental task in machine learning. Approximate inference provides powerful tools to Bayesian reasoning, decision making, and Bayesian deep learning. The main goal is to estimate the…

Machine Learning · Computer Science 2020-03-10 Jun Han

In this paper, we develop a computationally simpler version of the operator count heuristic for a particular class of domains. The contribution of this abstract is threefold, we (1) propose an efficient closed form approximation to the…

Artificial Intelligence · Computer Science 2016-07-06 Tathagata Chakraborti , Sarath Sreedharan , Sailik Sengupta , T. K. Satish Kumar , Subbarao Kambhampati

Probabilistic programming languages can simplify the development of machine learning techniques, but only if inference is sufficiently scalable. Unfortunately, Bayesian parameter estimation for highly coupled models such as regressions and…

Machine Learning · Statistics 2015-03-10 Yutian Chen , Vikash Mansinghka , Zoubin Ghahramani

Standard probabilistic models face fundamental challenges such as data scarcity, a large hypothesis space, and poor data transparency. To address these challenges, we propose a novel probabilistic model of data-driven temporal propositional…

Artificial Intelligence · Computer Science 2025-07-08 Hiroyuki Kido

In this paper, we address the probabilistic error quantification of a general class of prediction methods. We consider a given prediction model and show how to obtain, through a sample-based approach, a probabilistic upper bound on the…

Statistics Theory · Mathematics 2021-06-07 Victor Mirasierra , Martina Mammarella , Fabrizio Dabbene , Teodoro Alamo

In the context of high-dimensional linear regression models, we propose an algorithm of exact support recovery in the setting of noisy compressed sensing where all entries of the design matrix are independent and identically distributed…

Statistics Theory · Mathematics 2019-10-23 Mohamed Ndaoud , Alexandre B. Tsybakov

Latent variable models have been playing a central role in psychometrics and related fields. In many modern applications, the inference based on latent variable models involves one or several of the following features: (1) the presence of…

Methodology · Statistics 2025-01-08 Siliang Zhang , Yunxiao Chen

This article presents a type-based analysis for deriving upper bounds on the expected execution cost of probabilistic programs. The analysis is naturally compositional, parametric in the cost model, and supports higher order functions and…

Programming Languages · Computer Science 2020-09-23 Di Wang , David M Kahn , Jan Hoffmann

Count data is prevalent in various fields like ecology, medical research, and genomics. In high-dimensional settings, where the number of features exceeds the sample size, feature selection becomes essential. While frequentist methods like…

Methodology · Statistics 2024-10-22 The Tien Mai

In this paper it is reconsidered the prediction problem in time series framework by using a new non-parametric approach. Through this reconsideration, the prediction is obtained by a weighted sum of past observed data. These weights are…

Machine Learning · Statistics 2021-01-27 Pedro Cadahía , Jose Manuel Bravo Caro

Probabilistic argumentation allows reasoning about argumentation problems in a way that is well-founded by probability theory. However, in practice, this approach can be severely limited by the fact that probabilities are defined by adding…

Artificial Intelligence · Computer Science 2019-03-07 Nico Potyka

Global optimization is a challenging problem, with plenty of algorithms displaying empirical success, but scarce theoretical backing. In this work, we propose a new theoretical framework called Proximal Basin Hopping (PBH), carefully…

Machine Learning · Computer Science 2026-05-19 Guillaume Lauga , Cesare Molinari , Samuel Vaiter

Combining efficient and safe control for safety-critical systems is challenging. Robust methods may be overly conservative, whereas probabilistic controllers require a trade-off between efficiency and safety. In this work, we propose a…

Systems and Control · Electrical Eng. & Systems 2022-09-16 Tim Brüdigam , Robert Jacumet , Dirk Wollherr , Marion Leibold

In this work we introduce a novel approach, based on sampling, for finding assignments that are likely to be solutions to stochastic constraint satisfaction problems and constraint optimisation problems. Our approach reduces the size of the…

Optimization and Control · Mathematics 2015-09-22 Roberto Rossi , Brahim Hnich , S. Armagan Tarim , Steven Prestwich

We investigate the modeling and the numerical solution of machine learning problems with prediction functions which are linear combinations of elements of a possibly infinite-dimensional dictionary. We propose a novel flexible composite…

Statistics Theory · Mathematics 2015-12-03 Patrick L. Combettes , Saverio Salzo , Silvia Villa

We study the exponential time complexity of approximate counting satisfying assignments of CNFs. We reduce the problem to deciding satisfiability of a CNF. Our reduction preserves the number of variables of the input formula and thus also…

Computational Complexity · Computer Science 2012-08-14 Patrick Traxler

Incorporating constraints is a major concern in probabilistic machine learning. A wide variety of problems require predictions to be integrated with reasoning about constraints, from modelling routes on maps to approving loan predictions.…

Machine Learning · Computer Science 2020-01-31 Ioannis Papantonis , Vaishak Belle

Probabilistic programming is related to a compositional approach to stochastic modeling by switching from discrete to continuous time dynamics. In continuous time, an operator-algebra semantics is available in which processes proceeding in…

Artificial Intelligence · Computer Science 2012-12-05 Eric Mjolsness