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Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

Methodology · Statistics 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

In this review, we discuss approaches for learning causal structure from data, also called causal discovery. In particular, we focus on approaches for learning directed acyclic graphs (DAGs) and various generalizations which allow for some…

Methodology · Statistics 2022-12-20 Chandler Squires , Caroline Uhler

Clinical time series data from electronic health records and medical registries offer unprecedented opportunities to understand patient trajectories and inform medical decision-making. However, leveraging such data presents significant…

Machine Learning · Computer Science 2025-11-21 Muhammad Aslanimoghanloo , Ahmed ElGazzar , Marcel van Gerven

Many scientific datasets are of high dimension, and the analysis usually requires visual manipulation by retaining the most important structures of data. Principal curve is a widely used approach for this purpose. However, many existing…

Artificial Intelligence · Computer Science 2016-01-19 Qi Mao , Li Wang , Ivor W. Tsang , Yijun Sun

Directed acyclic graphs (DAGs) encode a lot of information about a particular distribution in their structure. However, compute required to infer these structures is typically super-exponential in the number of variables, as inference…

Machine Learning · Computer Science 2023-06-13 Jeroen Berrevoets , Nabeel Seedat , Fergus Imrie , Mihaela van der Schaar

Multivariate time series anomaly detection has numerous real-world applications and is being extensively studied. Modeling pairwise correlations between variables is crucial. Existing methods employ learnable graph structures and graph…

Machine Learning · Computer Science 2025-01-24 Zehao Liu , Mengzhou Gao , Pengfei Jiao

Directed acyclic graphs (DAGs) constitute a central modeling tool to enable principled reasoning about cause-effect interactions in complex systems. However, since the causal structure underlying a group of variables is often unknown and…

Machine Learning · Statistics 2026-05-25 Gonzalo Mateos , Samuel Rey , Hamed Ajorlou , Mariano Tepper

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

Methodology · Statistics 2016-06-09 Mathias Drton , Marloes H. Maathuis

This paper studies the problem of learning the correlation structure of a set of intervention functions defined on the directed acyclic graph (DAG) of a causal model. This is useful when we are interested in jointly learning the causal…

Machine Learning · Statistics 2020-09-29 Virginia Aglietti , Theodoros Damoulas , Mauricio Álvarez , Javier González

Evaluating graphs learned by causal discovery algorithms is difficult: The number of edges that differ between two graphs does not reflect how the graphs differ with respect to the identifying formulas they suggest for causal effects. We…

Machine Learning · Statistics 2024-07-12 Leonard Henckel , Theo Würtzen , Sebastian Weichwald

Seizure detection from EEGs is a challenging and time consuming clinical problem that would benefit from the development of automated algorithms. EEGs can be viewed as structural time series, because they are multivariate time series where…

Machine Learning · Computer Science 2019-05-07 Ian Covert , Balu Krishnan , Imad Najm , Jiening Zhan , Matthew Shore , John Hixson , Ming Jack Po

Learning the structure of Directed Acyclic Graphs (DAGs) presents a significant challenge due to the vast combinatorial search space of possible graphs, which scales exponentially with the number of nodes. Recent advancements have redefined…

Machine Learning · Computer Science 2024-11-01 Klea Ziu , Slavomír Hanzely , Loka Li , Kun Zhang , Martin Takáč , Dmitry Kamzolov

This paper studies causal discovery for a directed acyclic graph under a structural equation model with additive heteroscedastic errors. We first establish new identifiability results for location-scale noise models, showing that…

Methodology · Statistics 2026-05-27 Xintao Xia , Li Chen , Yue Hu , Chunlin Li

Predicting causal structure from time series data is crucial for understanding complex phenomena in physiology, brain connectivity, climate dynamics, and socio-economic behaviour. Causal discovery in time series is hindered by the…

Machine Learning · Computer Science 2026-01-06 Pedro P. Sanchez , Damian Machlanski , Steven McDonagh , Sotirios A. Tsaftaris

Learning a faithful directed acyclic graph (DAG) from samples of a joint distribution is a challenging combinatorial problem, owing to the intractable search space superexponential in the number of graph nodes. A recent breakthrough…

Machine Learning · Computer Science 2019-04-24 Yue Yu , Jie Chen , Tian Gao , Mo Yu

The recovery of time-varying graph signals is a fundamental problem with numerous applications in sensor networks and forecasting in time series. Effectively capturing the spatio-temporal information in these signals is essential for the…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Jhon A. Castro-Correa , Jhony H. Giraldo , Anindya Mondal , Mohsen Badiey , Thierry Bouwmans , Fragkiskos D. Malliaros

In order to predict a pedestrian's trajectory in a crowd accurately, one has to take into account her/his underlying socio-temporal interactions with other pedestrians consistently. Unlike existing work that represents the relevant…

Computer Vision and Pattern Recognition · Computer Science 2023-12-25 Yuke Li , Lixiong Chen , Guangyi Chen , Ching-Yao Chan , Kun Zhang , Stefano Anzellotti , Donglai Wei

We present an end-to-end differentiable neural network architecture to perform anomaly detection in multivariate time series by incorporating a Sequential Probability Ratio Test on the prediction residual. The architecture is a cascade of…

Machine Learning · Computer Science 2022-02-28 L. Zancato , A. Achille , G. Paolini , A. Chiuso , S. Soatto

Irregular Medical Time Series play a critical role in the clinical domain to better understand the patient's condition. However, inherent irregularity arising from heterogeneous sampling rates, asynchronous observations, and variable gaps…

Machine Learning · Computer Science 2026-04-15 Jian Chen , Yuzhu Hu , Xiaoyan Yuan , Yuxuan Hu , Jinfeng Xu , Yipeng Du , Wenhao Yuan , Wei Wang , Edith C. H. Ngai

In this work, we provide a new formulation for Graph Convolutional Neural Networks (GCNNs) for link prediction on graph data that addresses common challenges for biomedical knowledge graphs (KGs). We introduce a regularized attention…

Machine Learning · Computer Science 2018-12-04 Daniel Neil , Joss Briody , Alix Lacoste , Aaron Sim , Paidi Creed , Amir Saffari