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ProbLog is a state-of-art combination of logic programming and probabilities; in particular ProbLog offers parameter learning through a variant of the EM algorithm. However, the resulting learning algorithm is rather slow, even when the…

Artificial Intelligence · Computer Science 2017-08-03 Francisco H. O. V. de Faria , Arthur C. Gusmão , Fabio G. Cozman , Denis D. Mauá

Laplace's method, a family of asymptotic methods used to approximate integrals, is presented as a potential candidate for the tool box of techniques used for knowledge acquisition and probabilistic inference in belief networks with…

Artificial Intelligence · Computer Science 2013-02-28 Adriano Azevedo-Filho , Ross D. Shachter

The inverse method is a saturation based theorem proving technique; it relies on a forward proof-search strategy and can be applied to cut-free calculi enjoying the subformula property. Here we apply this method to derive the unprovability…

Logic · Mathematics 2020-03-05 Camillo Fiorentini , Mauro Ferrari

The prompt has become an effective linguistic tool for utilizing pre-trained language models. However, in few-shot scenarios, subtle changes in the prompt design always make the result widely different, and the prompt learning methods also…

Computation and Language · Computer Science 2024-03-13 Jinta Weng , Yifan Deng , d Donghao Li , Hao You , Yue Hu , Heyan Huang

Deep Neural Networks (DNNs) are everywhere, frequently performing a fairly complex task that used to be unimaginable for machines to carry out. In doing so, they do a lot of decision making which, depending on the application, may be…

Machine Learning · Computer Science 2022-11-17 Avriti Chauhan , Mohammad Afzal , Hrishikesh Karmarkar , Yizhak Elboher , Kumar Madhukar , Guy Katz

We introduce constraints necessary for type checking a higher-order concurrent constraint language, and solve them with an incremental algorithm. Our constraint system extends rational unification by constraints x$\subseteq$ y saying that…

cmp-lg · Computer Science 2008-02-03 Martin Mueller , Joachim Niehren

A new approach of obtaining stratified random samples from statistically dependent random variables is described. The proposed method can be used to obtain samples from the input space of a computer forward model in estimating expectations…

Methodology · Statistics 2019-11-25 Anirban Mondal , Abhijit Mandal

Expressive text encoders such as RNNs and Transformer Networks have been at the center of NLP models in recent work. Most of the effort has focused on sentence-level tasks, capturing the dependencies between words in a single sentence, or…

Computation and Language · Computer Science 2021-09-15 Manuel Widmoser , Maria Leonor Pacheco , Jean Honorio , Dan Goldwasser

Widespread adoption of deep models has motivated a pressing need for approaches to interpret network outputs and to facilitate model debugging. Instance attribution methods constitute one means of accomplishing these goals by retrieving…

Computation and Language · Computer Science 2021-04-12 Pouya Pezeshkpour , Sarthak Jain , Byron C. Wallace , Sameer Singh

This paper presents complexity analysis and variational methods for inference in probabilistic description logics featuring Boolean operators, quantification, qualified number restrictions, nominals, inverse roles and role hierarchies.…

Artificial Intelligence · Computer Science 2012-05-14 Fabio Gagliardi Cozman , Rodrigo Bellizia Polastro

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

Scaling laws have allowed Pre-trained Language Models (PLMs) into the field of causal reasoning. Causal reasoning of PLM relies solely on text-based descriptions, in contrast to causal discovery which aims to determine the causal…

We present a technique exploiting Datalog with aggregates to improve the performance of programs with arithmetic (in)equalities. Our approach employs a source-to-source program transformation which approximates the propagation technique…

Programming Languages · Computer Science 2011-12-19 Dario Campagna , Beata Sarna-Starosta , Tom Schrijvers

Agentic workflows, where multiple AI agents collaborate to accomplish complex tasks like reasoning or planning, play a substantial role in many cutting-edge commercial applications, and continue to fascinate researchers across fields for…

Computation and Language · Computer Science 2025-11-10 Deepak Pandita , Tharindu Cyril Weerasooriya , Ankit Parag Shah , Isabelle Diana May-Xin Ng , Christopher M. Homan , Wei Wei

This thesis focuses on advancing probabilistic logic programming (PLP), which combines probability theory for uncertainty and logic programming for relations. The thesis aims to extend PLP to support both discrete and continuous random…

Artificial Intelligence · Computer Science 2023-02-13 Nitesh Kumar

Lifted probabilistic inference algorithms have been successfully applied to a large number of symmetric graphical models. Unfortunately, the majority of real-world graphical models is asymmetric. This is even the case for relational…

Artificial Intelligence · Computer Science 2014-12-02 Guy Van den Broeck , Mathias Niepert

A composite likelihood is an inference function derived by multiplying a set of likelihood components. This approach provides a flexible framework for drawing inference when the likelihood function of a statistical model is computationally…

Methodology · Statistics 2024-12-10 Giuseppe Alfonzetti , Ruggero Bellio , Yunxiao Chen , Irini Moustaki

This paper introduces a new method for performing computational inference on log-Gaussian Cox processes. The likelihood is approximated directly by making novel use of a continuously specified Gaussian random field. We show that for…

Computation · Statistics 2015-11-02 Daniel Simpson , Janine Illian , Finn Lindgren , Sigrunn Sørbye , Håvard Rue

Anytime approximation algorithms that compute the probabilities of queries over probabilistic databases can be of great use to statistical learning tasks. Those approaches have been based so far on either (i) sampling or (ii)…

Databases · Computer Science 2018-07-04 Maarten Van den Heuvel , Floris Geerts , Wolfgang Gatterbauer , Martin Theobald

Probabilistic forecasts are essential for various downstream applications such as business development, traffic planning, and electrical grid balancing. Many of these probabilistic forecasts are performed on time series data that contain…

Machine Learning · Computer Science 2023-02-07 Benedikt Heidrich , Kaleb Phipps , Oliver Neumann , Marian Turowski , Ralf Mikut , Veit Hagenmeyer