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Main Authors: Bystrova, Daria, Assaad, Charles K., Arbel, Julyan, Devijver, Emilie, Gaussier, Eric, Thuiller, Wilfried
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2306.08765
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author Bystrova, Daria
Assaad, Charles K.
Arbel, Julyan
Devijver, Emilie
Gaussier, Eric
Thuiller, Wilfried
author_facet Bystrova, Daria
Assaad, Charles K.
Arbel, Julyan
Devijver, Emilie
Gaussier, Eric
Thuiller, Wilfried
contents Constraint-based methods and noise-based methods are two distinct families of methods proposed for uncovering causal graphs from observational data. However, both operate under strong assumptions that may be challenging to validate or could be violated in real-world scenarios. In response to these challenges, there is a growing interest in hybrid methods that amalgamate principles from both methods, showing robustness to assumption violations. This paper introduces a novel comprehensive framework for hybridizing constraint-based and noise-based methods designed to uncover causal graphs from observational time series. The framework is structured into two classes. The first class employs a noise-based strategy to identify a super graph, containing the true graph, followed by a constraint-based strategy to eliminate unnecessary edges. In the second class, a constraint-based strategy is applied to identify a skeleton, which is then oriented using a noise-based strategy. The paper provides theoretical guarantees for each class under the condition that all assumptions are satisfied, and it outlines some properties when assumptions are violated. To validate the efficacy of the framework, two algorithms from each class are experimentally tested on simulated data, realistic ecological data, and real datasets sourced from diverse applications. Notably, two novel datasets related to Information Technology monitoring are introduced within the set of considered real datasets. The experimental results underscore the robustness and effectiveness of the hybrid approaches across a broad spectrum of datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2306_08765
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Causal Discovery from Time Series with Hybrids of Constraint-Based and Noise-Based Algorithms
Bystrova, Daria
Assaad, Charles K.
Arbel, Julyan
Devijver, Emilie
Gaussier, Eric
Thuiller, Wilfried
Artificial Intelligence
Machine Learning
Constraint-based methods and noise-based methods are two distinct families of methods proposed for uncovering causal graphs from observational data. However, both operate under strong assumptions that may be challenging to validate or could be violated in real-world scenarios. In response to these challenges, there is a growing interest in hybrid methods that amalgamate principles from both methods, showing robustness to assumption violations. This paper introduces a novel comprehensive framework for hybridizing constraint-based and noise-based methods designed to uncover causal graphs from observational time series. The framework is structured into two classes. The first class employs a noise-based strategy to identify a super graph, containing the true graph, followed by a constraint-based strategy to eliminate unnecessary edges. In the second class, a constraint-based strategy is applied to identify a skeleton, which is then oriented using a noise-based strategy. The paper provides theoretical guarantees for each class under the condition that all assumptions are satisfied, and it outlines some properties when assumptions are violated. To validate the efficacy of the framework, two algorithms from each class are experimentally tested on simulated data, realistic ecological data, and real datasets sourced from diverse applications. Notably, two novel datasets related to Information Technology monitoring are introduced within the set of considered real datasets. The experimental results underscore the robustness and effectiveness of the hybrid approaches across a broad spectrum of datasets.
title Causal Discovery from Time Series with Hybrids of Constraint-Based and Noise-Based Algorithms
topic Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2306.08765