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The development of efficient exact and approximate algorithms for probabilistic inference is a long-standing goal of artificial intelligence research. Whereas substantial progress has been made in dealing with purely discrete or purely…

Artificial Intelligence · Computer Science 2024-10-23 Giuseppe Spallitta , Gabriele Masina , Paolo Morettin , Andrea Passerini , Roberto Sebastiani

Weighted model integration (WMI) extends Weighted model counting (WMC) to the integration of functions over mixed discrete-continuous domains. It has shown tremendous promise for solving inference problems in graphical models and…

Artificial Intelligence · Computer Science 2019-11-21 Zhe Zeng , Guy Van den Broeck

Weighted model integration (WMI) is a very appealing framework for probabilistic inference: it allows to express the complex dependencies of real-world hybrid scenarios where variables are heterogeneous in nature (both continuous and…

Artificial Intelligence · Computer Science 2019-10-01 Zhe Zeng , Fanqi Yan , Paolo Morettin , Antonio Vergari , Guy Van den Broeck

Weighted model integration (WMI) is a very appealing framework for probabilistic inference: it allows to express the complex dependencies of real-world problems where variables are both continuous and discrete, via the language of…

Artificial Intelligence · Computer Science 2020-08-21 Zhe Zeng , Paolo Morettin , Fanqi Yan , Antonio Vergari , Guy Van den Broeck

Weighted model counting (WMC) is a popular framework to perform probabilistic inference with discrete random variables. Recently, WMC has been extended to weighted model integration (WMI) in order to additionally handle continuous…

Artificial Intelligence · Computer Science 2021-03-26 Ivan Miosic , Pedro Zuidberg Dos Martires

Weighted model integration (WMI) extends weighted model counting (WMC) in providing a computational abstraction for probabilistic inference in mixed discrete-continuous domains. WMC has emerged as an assembly language for state-of-the-art…

Artificial Intelligence · Computer Science 2020-01-14 Anton Fuxjaeger , Vaishak Belle

In machine learning (ML) verification, the majority of procedures are non-quantitative and therefore cannot be used for verifying probabilistic models, or be applied in domains where hard guarantees are practically unachievable. The…

Artificial Intelligence · Computer Science 2024-10-24 Paolo Morettin , Andrea Passerini , Roberto Sebastiani

Probabilistic inference in the hybrid domain, i.e. inference over discrete-continuous domains, requires tackling two well known #P-hard problems 1)~weighted model counting (WMC) over discrete variables and 2)~integration over continuous…

Artificial Intelligence · Computer Science 2020-01-15 Pedro Zuidberg Dos Martires , Samuel Kolb

Weighted model counting (WMC) is a well-known inference task on knowledge bases, used for probabilistic inference in graphical models. We introduce algebraic model counting (AMC), a generalization of WMC to a semiring structure. We show…

Logic in Computer Science · Computer Science 2012-11-20 Angelika Kimmig , Guy Van den Broeck , Luc De Raedt

Weighted model counting (WMC) is the task of computing the weighted sum of all satisfying assignments (i.e., models) of a propositional formula. Similarly, weighted model sampling (WMS) aims to randomly generate models with probability…

Artificial Intelligence · Computer Science 2024-06-17 Yuanhong Wang , Juhua Pu , Yuyi Wang , Ondřej Kuželka

Model merging, particularly through weight averaging, has shown surprising effectiveness in saving computations and improving model performance without any additional training. However, the interpretability of why and how this technique…

Machine Learning · Computer Science 2025-08-20 Hu Wang , Congbo Ma , Ibrahim Almakky , Ian Reid , Gustavo Carneiro , Mohammad Yaqub

Weighted model counting (WMC) consists of computing the weighted sum of all satisfying assignments of a propositional formula. WMC is well-known to be #P-hard for exact solving, but admits a fully polynomial randomized approximation scheme…

Artificial Intelligence · Computer Science 2020-07-14 Ralph Abboud , İsmail İlkan Ceylan , Radoslav Dimitrov

We present the Structured Weighted Violation MIRA (SWVM), a new structured prediction algorithm that is based on an hybridization between MIRA (Crammer and Singer, 2003) and the structured weighted violations perceptron (SWVP) (Dror and…

Computation and Language · Computer Science 2020-05-12 Dor Ringel , Rotem Dror , Roi Reichart

Deep model fusion/merging is an emerging technique that merges the parameters or predictions of multiple deep learning models into a single one. It combines the abilities of different models to make up for the biases and errors of a single…

Machine Learning · Computer Science 2023-09-28 Weishi Li , Yong Peng , Miao Zhang , Liang Ding , Han Hu , Li Shen

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

A new kind of geometric invariants is proposed in this paper, which is called affine weighted moment invariant (AWMI). By combination of local affine differential invariants and a framework of global integral, they can more effectively…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Hanlin Mo , You Hao , Shirui Li , Hua Li

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

Methodology · Statistics 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

Weighted counting problems are a natural generalization of counting problems where a weight is associated with every computational path of polynomial-time non-deterministic Turing machines and the goal is to compute the sum of the weights…

Computational Complexity · Computer Science 2019-01-11 Cassio P. de Campos , Georgios Stamoulis , Dennis Weyland

Merging models becomes a fundamental procedure in some applications that consider model efficiency and robustness. The training randomness or Non-I.I.D. data poses a huge challenge for averaging-based model fusion. Previous research efforts…

Artificial Intelligence · Computer Science 2024-08-23 Yichu Xu , Xin-Chun Li , Le Gan , De-Chuan Zhan

The design of complex software systems usually lies in multiple coordinating components with an unknown number of instances. For such systems a main challenge is modelling efficiently their architecture that determines the topology and the…

Logic in Computer Science · Computer Science 2020-04-28 Maria Pittou , George Rahonis
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