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Without any assumptions about data generation, multiple causal models may explain our observations equally well. To avoid selecting a single arbitrary model that could result in unsafe decisions if it does not match reality, it is therefore…

机器学习 · 计算机科学 2025-01-13 Tristan Deleu

Learning a Bayesian network structure from data is an NP-hard problem and thus exact algorithms are feasible only for small data sets. Therefore, network structures for larger networks are usually learned with various heuristics. Another…

机器学习 · 计算机科学 2012-10-19 Teppo Niinimaki , Pekka Parviainen

We are developing a general framework for using learned Bayesian models for decision-theoretic control of search and reasoningalgorithms. We illustrate the approach on the specific task of controlling both general and domain-specific…

人工智能 · 计算机科学 2013-01-14 Eric J. Horvitz , Yongshao Ruan , Carla P. Gomes , Henry Kautz , Bart Selman , David Maxwell Chickering

Learning topological representation of a network in dynamic environments has recently attracted considerable attention due to the time-evolving nature of many real-world networks i.e. nodes/links might be added/removed as time goes on.…

社会与信息网络 · 计算机科学 2019-07-30 Chengbin Hou , Han Zhang , Ke Tang , Shan He

Bayesian networks, with structure given by a directed acyclic graph (DAG), are a popular class of graphical models. However, learning Bayesian networks from discrete or categorical data is particularly challenging, due to the large…

统计方法学 · 统计学 2018-02-06 Jiaying Gu , Fei Fu , Qing Zhou

This study proposes the first Bayesian approach for learning high-dimensional linear Bayesian networks. The proposed approach iteratively estimates each element of the topological ordering from backward and its parent using the inverse of a…

机器学习 · 统计学 2023-11-28 Seyong Hwang , Kyoungjae Lee , Sunmin Oh , Gunwoong Park

Score functions for learning the structure of Bayesian networks in the literature assume that data are a homogeneous set of observations; whereas it is often the case that they comprise different related, but not homogeneous, data sets…

机器学习 · 统计学 2021-07-20 Laura Azzimonti , Giorgio Corani , Marco Scutari

In this paper we examine a novel addition to the known methods for learning Bayesian networks from data that improves the quality of the learned networks. Our approach explicitly represents and learns the local structure in the conditional…

人工智能 · 计算机科学 2013-02-18 Nir Friedman , Moises Goldszmidt

Bayesian networks are a class of popular graphical models that encode causal and conditional independence relations among variables by directed acyclic graphs (DAGs). We propose a novel structure learning method, annealing on regularized…

机器学习 · 统计学 2020-05-04 Qiaoling Ye , Arash A. Amini , Qing Zhou

For decomposable score-based structure learning of Bayesian networks, existing approaches first compute a collection of candidate parent sets for each variable and then optimize over this collection by choosing one parent set for each…

人工智能 · 计算机科学 2017-07-20 Cassio P. de Campos , Mauro Scanagatta , Giorgio Corani , Marco Zaffalon

System identification in scenarios where the observed number of variables is less than the degrees of freedom in the dynamics is an important challenge. In this work we tackle this problem by using a recognition network to increase the…

计算物理 · 物理学 2020-10-14 Constantino A. Garcia , Paulo Felix , Jesus M. Presedo , Abraham Otero

We investigate the problem of learning Bayesian networks in a robust model where an $\epsilon$-fraction of the samples are adversarially corrupted. In this work, we study the fully observable discrete case where the structure of the network…

数据结构与算法 · 计算机科学 2018-10-30 Yu Cheng , Ilias Diakonikolas , Daniel Kane , Alistair Stewart

This paper derives practical algorithms, based on Bayesian inference methods, for several data analysis problems common in time series analysis of astronomical and other data. One problem is the determination of the lag between two time…

数值分析 · 数学 2025-10-20 Jeffrey D. Scargle

In Bayesian Network Structure Learning (BNSL), one is given a variable set and parent scores for each variable and aims to compute a DAG, called Bayesian network, that maximizes the sum of parent scores, possibly under some structural…

数据结构与算法 · 计算机科学 2022-04-07 Niels Grüttemeier , Christian Komusiewicz , Nils Morawietz

Bayesian causal structure learning aims to learn a posterior distribution over directed acyclic graphs (DAGs), and the mechanisms that define the relationship between parent and child variables. By taking a Bayesian approach, it is possible…

机器学习 · 计算机科学 2024-06-04 Mizu Nishikawa-Toomey , Tristan Deleu , Jithendaraa Subramanian , Yoshua Bengio , Laurent Charlin

Learning continuous-time dynamics on complex networks is crucial for understanding, predicting and controlling complex systems in science and engineering. However, this task is very challenging due to the combinatorial complexities in the…

社会与信息网络 · 计算机科学 2020-06-19 Chengxi Zang , Fei Wang

Bayesian Networks (BNs) have become increasingly popular over the last few decades as a tool for reasoning under uncertainty in fields as diverse as medicine, biology, epidemiology, economics and the social sciences. This is especially true…

机器学习 · 计算机科学 2022-10-27 Neville K. Kitson , Anthony C. Constantinou , Zhigao Guo , Yang Liu , Kiattikun Chobtham

In applications of nonlinear and complex dynamical systems, a common situation is that the system can be measured but its structure and the detailed rules of dynamical evolution are unknown. The inverse problem is to determine the system…

动力系统 · 数学 2021-09-15 Ying-Cheng Lai

In this paper, we study the problem of structure learning for Bayesian networks in which nodes take discrete values. The problem is NP-hard in general but we show that under certain conditions we can recover the true structure of a Bayesian…

机器学习 · 计算机科学 2021-02-19 Adarsh Barik , Jean Honorio

Many natural systems, such as neurons firing in the brain or basketball teams traversing a court, give rise to time series data with complex, nonlinear dynamics. We can gain insight into these systems by decomposing the data into segments…