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Causal discovery is a crucial initial step in establishing causality from empirical data and background knowledge. Numerous algorithms have been developed for this purpose. Among them, the score-matching method has demonstrated superior…

Machine Learning · Statistics 2026-04-14 Hao Chen , Kai Yi

Counterfactual learning is emerging as an important paradigm, rooted in causality, which promises to alleviate common issues of graph neural networks (GNNs), such as fairness and interpretability. However, as in many real-world application…

Machine Learning · Computer Science 2025-06-03 Dazhuo Qiu , Jinwen Chen , Arijit Khan , Yan Zhao , Francesco Bonchi

Graphs serve as generic tools to encode the underlying relational structure of data. Often this graph is not given, and so the task of inferring it from nodal observations becomes important. Traditional approaches formulate a convex inverse…

Machine Learning · Computer Science 2024-06-24 Max Wasserman , Gonzalo Mateos

We describe algorithms for learning Bayesian networks from a combination of user knowledge and statistical data. The algorithms have two components: a scoring metric and a search procedure. The scoring metric takes a network structure,…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , Dan Geiger , David Maxwell Chickering

Nowadays, the analysis of complex phenomena modeled by graphs plays a crucial role in many real-world application domains where decisions can have a strong societal impact. However, numerous studies and papers have recently revealed that…

Machine Learning · Computer Science 2024-02-23 Charlotte Laclau , Christine Largeron , Manvi Choudhary

Analyzing connections between brain regions of interest (ROI) is vital to detect neurological disorders such as autism or schizophrenia. Recent advancements employ graph neural networks (GNNs) to utilize graph structures in brains,…

Machine Learning · Computer Science 2024-01-03 Falih Gozi Febrinanto , Mujie Liu , Feng Xia

Feature selection is an important task in many problems occurring in pattern recognition, bioinformatics, machine learning and data mining applications. The feature selection approach enables us to reduce the computation burden and the…

Machine Learning · Computer Science 2016-08-30 Hadi Zare , Mojtaba Niazi

Bayesian network structure learning algorithms with limited data are being used in domains such as systems biology and neuroscience to gain insight into the underlying processes that produce observed data. Learning reliable networks from…

Machine Learning · Statistics 2013-07-10 Diane Oyen , Terran Lane

As causal ground truth is incredibly rare, causal discovery algorithms are commonly only evaluated on simulated data. This is concerning, given that simulations reflect preconceptions about generating processes regarding noise…

Node representation learning has demonstrated its effectiveness for various applications on graphs. Particularly, recent developments in contrastive learning have led to promising results in unsupervised node representation learning for a…

Machine Learning · Computer Science 2021-06-11 Öykü Deniz Köse , Yanning Shen

The discovery of structure from time series data is a key problem in fields of study working with complex systems. Most identifiability results and learning algorithms assume the underlying dynamics to be discrete in time. Comparatively…

Machine Learning · Statistics 2022-02-04 Alexis Bellot , Kim Branson , Mihaela van der Schaar

Structural Bias (SB) is an important type of algorithmic deficiency within iterative optimisation heuristics. However, methods for detecting structural bias have not yet fully matured, and recent studies have uncovered many interesting…

Methodology · Statistics 2021-05-11 Diederick Vermetten , Anna V. Kononova , Fabio Caraffini , Hao Wang , Thomas Bäck

We study {\em breadth-first search (BFS)} spanning trees, and address the problem of designing a sparse {\em fault-tolerant} BFS structure, or {\em FT-BFS } for short, resilient to the failure of up to two edges in the given undirected…

Data Structures and Algorithms · Computer Science 2015-05-05 Merav Parter

Under stringent model type and variable distribution assumptions, differentiable score-based causal discovery methods learn a directed acyclic graph (DAG) from observational data by evaluating candidate graphs over an average score…

Machine Learning · Computer Science 2023-03-07 An Zhang , Fangfu Liu , Wenchang Ma , Zhibo Cai , Xiang Wang , Tat-seng Chua

In the federated learning setting, multiple clients jointly train a model under the coordination of the central server, while the training data is kept on the client to ensure privacy. Normally, inconsistent distribution of data across…

Machine Learning · Computer Science 2020-12-21 Wei Huang , Tianrui Li , Dexian Wang , Shengdong Du , Junbo Zhang

This paper demonstrates how to recover causal graphs from the score of the data distribution in non-linear additive (Gaussian) noise models. Using score matching algorithms as a building block, we show how to design a new generation of…

This paper presents the Min-Cut Bayesian Network Consensus (MCBNC) algorithm, a greedy method for structural consensus of Bayesian Networks (BNs), with applications in federated learning and model aggregation. MCBNC prunes weak edges from…

Machine Learning · Computer Science 2025-11-11 Pablo Torrijos , José M. Puerta , Juan A. Aledo , José A. Gámez

Scoring models support decision-making in financial institutions. Their estimation and evaluation are based on the data of previously accepted applicants with known repayment behavior. This creates sampling bias: the available labeled data…

Federated learning (FL) is a widely used and impactful distributed optimization framework that achieves consensus through averaging locally trained models. While effective, this approach may not align well with Bayesian inference, where the…

Machine Learning · Computer Science 2025-10-01 Nour Jamoussi , Giuseppe Serra , Photios A. Stavrou , Marios Kountouris

Networks are characterized by structural features, such as degree distribution, triangular closures, and assortativity. This paper addresses the problem of reconstructing instances of continuously (and non-negatively) weighted networks from…

Physics and Society · Physics 2024-12-09 Christian Franssen , Joost Berkhout , Bernd Heidergott
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