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We consider the task of estimating a high-dimensional directed acyclic graph, given observations from a linear structural equation model with arbitrary noise distribution. By exploiting properties of common random graphs, we develop a new…

Machine Learning · Statistics 2019-12-30 Arjun Sondhi , Ali Shojaie

Anomaly detection in multivariate time series is a central challenge in industrial monitoring, as failures frequently arise from complex temporal dynamics and cross-sensor interactions. While recent deep learning models, including graph…

Machine Learning · Computer Science 2026-04-21 Pooyan Khosravinia , João Gama , Bruno Veloso

Even when the causal graph underlying our data is unknown, we can use observational data to narrow down the possible values that an average treatment effect (ATE) can take by (1) identifying the graph up to a Markov equivalence class; and…

Machine Learning · Computer Science 2024-04-11 Shantanu Gupta , David Childers , Zachary C. Lipton

Most existing causal discovery methods rely on the assumption of no latent confounders, limiting their applicability in solving real-life problems. In this paper, we introduce a novel, versatile framework for causal discovery that…

Machine Learning · Computer Science 2023-12-19 Xinshuai Dong , Biwei Huang , Ignavier Ng , Xiangchen Song , Yujia Zheng , Songyao Jin , Roberto Legaspi , Peter Spirtes , Kun Zhang

Causal discovery in multivariate extremes is challenging because extreme observations are sparse, dependent, and often affected by latent common shocks. Existing approaches focus on undirected extremal dependence, require prior graph…

Methodology · Statistics 2026-04-24 Mengran Li , Daniela Castro-Camilo

Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

Methodology · Statistics 2026-03-27 Alex Chen , Qing Zhou

For the binary regression, the use of symmetrical link functions are not appropriate when we have evidence that the probability of success increases at a different rate than decreases. In these cases, the use of link functions based on the…

Methodology · Statistics 2024-07-23 João Victor B. de Freitas , Caio L. N. Azevedo

Inferring the causal direction and causal effect between two discrete random variables X and Y from a finite sample is often a crucial problem and a challenging task. However, if we have access to observational and interventional data, it…

Machine Learning · Statistics 2020-10-16 Peter Gmeiner

The sensitivity of gravitational-wave (GW) detectors is characterized by their noise curves, which determine the detector's reach and ability to measure the parameters of astrophysical sources accurately. The detector noise is typically…

Instrumentation and Methods for Astrophysics · Physics 2025-03-21 Sumit Kumar , Alexander H. Nitz , Xisco Jiménez Forteza

Identifying the structure of a partially observed causal system is essential to various scientific fields. Recent advances have focused on constraint-based causal discovery to solve this problem, and yet in practice these methods often face…

Machine Learning · Computer Science 2026-05-04 Xinshuai Dong , Ignavier Ng , Haoyue Dai , Jiaqi Sun , Xiangchen Song , Peter Spirtes , Kun Zhang

Graph Out-of-Distribution (OOD) classification often suffers from sharp performance drops, particularly under category imbalance and structural noise. This work tackles two pressing challenges in this context: (1) the underperformance of…

Machine Learning · Computer Science 2025-06-25 Yang Zhou , Xiaoning Ren

The assumption of normality in data has been considered in the field of statistical analysis for a long time. However, in many practical situations, this assumption is clearly unrealistic. It has recently been suggested that the use of…

Computation · Statistics 2016-11-25 Reinaldo B. Arellano-Valle , Javier E. Contreras-Reyes

Identifying latent variables and the causal structure involving them is essential across various scientific fields. While many existing works fall under the category of constraint-based methods (with e.g. conditional independence or rank…

Machine Learning · Computer Science 2026-05-21 Ignavier Ng , Xinshuai Dong , Haoyue Dai , Biwei Huang , Peter Spirtes , Kun Zhang

Causal approaches to fairness have seen substantial recent interest, both from the machine learning community and from wider parties interested in ethical prediction algorithms. In no small part, this has been due to the fact that causal…

Machine Learning · Computer Science 2019-08-17 Niki Kilbertus , Philip J. Ball , Matt J. Kusner , Adrian Weller , Ricardo Silva

Causal discovery estimates the underlying physical process that generates the observed data: does X cause Y or does Y cause X? Current methodologies use structural conditions to turn the causal query into a statistical query, when only…

Machine Learning · Statistics 2020-08-14 Martin Jørgensen , Søren Hauberg

Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model, and additional data from (in the best case) \textit{only…

Machine Learning · Statistics 2026-05-15 Francesco Montagna

Graph anomaly detection (GAD) is a challenging binary classification problem due to its different structural distribution between anomalies and normal nodes -- abnormal nodes are a minority, therefore holding high heterophily and low…

Machine Learning · Computer Science 2024-01-26 Yuan Gao , Xiang Wang , Xiangnan He , Zhenguang Liu , Huamin Feng , Yongdong Zhang

One major drawback of state-of-the-art artificial intelligence is its lack of explainability. One approach to solve the problem is taking causality into account. Causal mechanisms can be described by structural causal models. In this work,…

Machine Learning · Statistics 2021-09-07 Nico Reick , Felix Wiewel , Alexander Bartler , Bin Yang

Graph neural networks (GNNs) learn node representations by passing and aggregating messages between neighboring nodes. GNNs have been applied successfully in several application domains and achieved promising performance. However, GNNs…

Machine Learning · Computer Science 2021-12-14 Zeyu Zhang , Yulong Pei

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak
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