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Inferring the causal structure that links n observables is usually based upon detecting statistical dependences and choosing simple graphs that make the joint measure Markovian. Here we argue why causal inference is also possible when only…

Statistics Theory · Mathematics 2008-04-24 Dominik Janzing , Bernhard Schoelkopf

Graph Neural Networks (GNNs) have demonstrated remarkable success in various applications, yet they often struggle to capture long-range dependencies (LRD) effectively. This paper introduces GraphMinNet, a novel GNN architecture that…

Machine Learning · Computer Science 2025-02-04 Md Atik Ahamed , Andrew Cheng , Qiang Ye , Qiang Cheng

Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

Machine Learning · Computer Science 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

This work presents a graph neural network (GNN) framework for solving the maximum independent set (MIS) problem, inspired by dynamic programming (DP). Specifically, given a graph, we propose a DP-like recursive algorithm based on GNNs that…

Machine Learning · Computer Science 2023-10-31 Lorenzo Brusca , Lars C. P. M. Quaedvlieg , Stratis Skoulakis , Grigorios G Chrysos , Volkan Cevher

We study the sample complexity of learning revenue-optimal multi-item auctions. We obtain the first set of positive results that go beyond the standard but unrealistic setting of item-independence. In particular, we consider settings where…

Computer Science and Game Theory · Computer Science 2020-06-02 Johaness Brustle , Yang Cai , Constantinos Daskalakis

In functional MRI (fMRI), effective connectivity analysis aims at inferring the causal influences that brain regions exert on one another. A common method for this type of analysis is structural equation modeling (SEM). We here propose a…

Quantitative Methods · Quantitative Biology 2024-09-10 G. Marrelec , A. Giron

In statistics and machine learning, detecting dependencies in datasets is a central challenge. We propose a novel neural network model for supervised graph structure learning, i.e., the process of learning a mapping between observational…

Machine Learning · Statistics 2024-02-14 Philipp Froehlich , Heinz Koeppl

Graph Neural Networks (GNNs) have demonstrated their effectiveness in various graph learning tasks, yet their reliance on neighborhood aggregation during inference poses challenges for deployment in latency-sensitive applications, such as…

Machine Learning · Computer Science 2024-12-09 Zehong Wang , Zheyuan Zhang , Chuxu Zhang , Yanfang Ye

We study the following independence testing problem: given access to samples from a distribution $P$ over $\{0,1\}^n$, decide whether $P$ is a product distribution or whether it is $\varepsilon$-far in total variation distance from any…

Data Structures and Algorithms · Computer Science 2023-01-04 Arnab Bhattacharyya , Clément L. Canonne , Joy Qiping Yang

Graphical Transformation Models (GTMs) are introduced as a novel approach to effectively model multivariate data with intricate marginals and complex dependency structures semiparametrically, while maintaining interpretability through the…

Methodology · Statistics 2025-08-28 Matthias Herp , Johannes Brachem , Michael Altenbuchinger , Thomas Kneib

This paper studies semi-supervised object classification in relational data, which is a fundamental problem in relational data modeling. The problem has been extensively studied in the literature of both statistical relational learning…

Machine Learning · Computer Science 2020-07-27 Meng Qu , Yoshua Bengio , Jian Tang

We propose a network structure discovery model for continuous observations that generalizes linear causal models by incorporating a Gaussian process (GP) prior on a network-independent component, and random sparsity and weight matrices as…

Machine Learning · Computer Science 2017-03-01 Amir Dezfouli , Edwin V. Bonilla , Richard Nock

Graph neural networks (GNNs) have demonstrated success in learning representations of brain graphs derived from functional magnetic resonance imaging (fMRI) data. However, existing GNN methods assume brain graphs are static over time and…

Machine Learning · Computer Science 2023-07-11 Alexander Campbell , Antonio Giuliano Zippo , Luca Passamonti , Nicola Toschi , Pietro Lio

We propose a new structured pruning framework for compressing Deep Neural Networks (DNNs) with skip connections, based on measuring the statistical dependency of hidden layers and predicted outputs. The dependence measure defined by the…

Machine Learning · Computer Science 2022-01-28 Mohammadreza Soltani , Suya Wu , Yuerong Li , Jie Ding , Vahid Tarokh

In Graph Neural Networks (GNNs), the graph structure is incorporated into the learning of node representations. This complex structure makes explaining GNNs' predictions become much more challenging. In this paper, we propose PGM-Explainer,…

Machine Learning · Computer Science 2020-10-13 Minh N. Vu , My T. Thai

Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

Machine Learning · Computer Science 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir

In this paper, we consider the problem of recovering a graph that represents the statistical data dependency among nodes for a set of data samples generated by nodes, which provides the basic structure to perform an inference task, such as…

Machine Learning · Statistics 2018-05-01 Hyeryung Jang , HyungSeok Song , Yung Yi

Currently, most Graph Structure Learning (GSL) methods, as a means of learning graph structure, improve the robustness of GNN merely from a local view by considering the local information related to each edge and indiscriminately applying…

Machine Learning · Computer Science 2024-11-27 Nan Yin

In this paper we address the problem of learning the structure of a Bayesian network in domains with continuous variables. This task requires a procedure for comparing different candidate structures. In the Bayesian framework, this is done…

Artificial Intelligence · Computer Science 2013-01-18 Nir Friedman , Iftach Nachman

Graph structured data has wide applicability in various domains such as physics, chemistry, biology, computer vision, and social networks, to name a few. Recently, graph neural networks (GNN) were shown to be successful in effectively…

Machine Learning · Computer Science 2020-09-29 Qiang Huang , Makoto Yamada , Yuan Tian , Dinesh Singh , Dawei Yin , Yi Chang
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