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Equation-based modelling is a powerful approach to tame the complexity of large-scale simulation problems. Equation-based tools automatically translate models into imperative languages. When confronted with nowadays' problems, however, well…

In Bayesian theory, calculating a posterior probability distribution is highly important but usually difficult. Therefore, some methods have been put forward to deal with such problem, among which, the most popular one is the asymptotic…

Methodology · Statistics 2012-07-20 Zai-Ying Zhou

Boolean Satisfiability Problem (SAT) is one of the core problems in computer science. As one of the fundamental NP-complete problems, it can be used - by known reductions - to represent instances of variety of hard decision problems.…

Data Structures and Algorithms · Computer Science 2019-11-05 Michał Karpiński

We study the problem of efficiently estimating counts for queries involving complex filters, such as user-defined functions, or predicates involving self-joins and correlated subqueries. For such queries, traditional sampling techniques may…

Databases · Computer Science 2020-01-01 Brett Walenz , Stavros Sintos , Sudeepa Roy , Jun Yang

Imputing missing values is an important preprocessing step in data analysis, but the literature offers little guidance on how to choose between different imputation models. This letter suggests adopting the imputation model that generates a…

Methodology · Statistics 2021-07-13 Moritz Marbach

This paper investigates the effectiveness of factorial speech processing models in noise-robust automatic speech recognition tasks. For this purpose, the paper proposes an idealistic approach for modeling state-conditional observation…

Machine Learning · Computer Science 2016-10-06 Mahdi Khademian , Mohammad Mehdi Homayounpour

The success of deep learning hinges on enormous data and large models, which require labor-intensive annotations and heavy computation costs. Subset selection is a fundamental problem that can play a key role in identifying smaller portions…

Machine Learning · Computer Science 2023-12-19 Srikumar Ramalingam , Pranjal Awasthi , Sanjiv Kumar

Conditional sampling is a fundamental task in Bayesian statistics and generative modeling. Consider the problem of sampling from the posterior distribution $P_{X|Y=y^*}$ for some observation $y^*$, where the likelihood $P_{Y|X}$ is known,…

Methodology · Statistics 2025-10-14 Han Cui , Jingbo Liu

Random forest is effective for prediction tasks but the randomness of tree generation hinders interpretability in feature importance analysis. To address this, we proposed DT-Sampler, a SAT-based method for measuring feature importance in…

Machine Learning · Computer Science 2023-07-26 Chao Huang , Diptesh Das , Koji Tsuda

Propositional model enumeration, or All-SAT, is the task to record all models of a propositional formula. It is a key task in software and hardware verification, system engineering, and predicate abstraction, to mention a few. It also…

Logic in Computer Science · Computer Science 2024-11-13 Sibylle Möhle , Roberto Sebastiani , Armin Biere

We investigate the domain of satisfiable formulas in satisfiability modulo theories (SMT), in particular, automatic generation of a multitude of satisfying assignments to such formulas. Despite the long and successful history of SMT in…

Logic in Computer Science · Computer Science 2022-12-14 Matan Peled , Bat-Chen Rothenberg , Shachar Itzhaky

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

Methodology · Statistics 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

Weighted sampling is a fundamental tool in data analysis and machine learning pipelines. Samples are used for efficient estimation of statistics or as sparse representations of the data. When weight distributions are skewed, as is often the…

Machine Learning · Computer Science 2020-08-18 Edith Cohen , Rasmus Pagh , David P. Woodruff

We provide an efficient algorithm for the classical problem, going back to Galton, Pearson, and Fisher, of estimating, with arbitrary accuracy the parameters of a multivariate normal distribution from truncated samples. Truncated samples…

Statistics Theory · Mathematics 2020-10-26 Constantinos Daskalakis , Themis Gouleakis , Christos Tzamos , Manolis Zampetakis

Deep metric learning aims to learn a deep embedding that can capture the semantic similarity of data points. Given the availability of massive training samples, deep metric learning is known to suffer from slow convergence due to a large…

Machine Learning · Computer Science 2019-12-05 Xinshao Wang , Yang Hua , Elyor Kodirov , Guosheng Hu , Neil M. Robertson

Recent work on weighted model counting has been very successfully applied to the problem of probabilistic inference in Bayesian networks. The probability distribution is encoded into a Boolean normal form and compiled to a target language,…

Artificial Intelligence · Computer Science 2016-10-19 Giso H. Dal , Peter J. F. Lucas

We describe an algorithm to solve the problem of Boolean CNF-Satisfiability when the input formula is chosen randomly. We build upon the algorithms of Sch{\"{o}}ning 1999 and Dantsin et al.~in 2002. The Sch{\"{o}}ning algorithm works by…

Computational Complexity · Computer Science 2019-03-27 Andrea Lincoln , Adam Yedidia

We consider the problem of sampling from solutions defined by a set of hard constraints on a combinatorial space. We propose a new sampling technique that, while enforcing a uniform exploration of the search space, leverages the reasoning…

Artificial Intelligence · Computer Science 2012-10-19 Stefano Ermon , Carla P. Gomes , Bart Selman

In assignment problems, decision makers are often interested in not only the optimal assignment, but also the sensitivity of the optimal assignment to perturbations in the assignment weights. Typically, only perturbations to individual…

Optimization and Control · Mathematics 2022-02-14 Elad Michael , Tony A. Wood , Chris Manzie , Iman Shames

In recent years, neural networks have demonstrated their remarkable ability to discern intricate patterns and relationships from raw data. However, understanding the inner workings of these black box models remains challenging, yet crucial…

Machine Learning · Statistics 2024-04-18 Niklas Koenen , Marvin N. Wright