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Learning causal relationships solely from observational data often fails to reveal the underlying causal mechanisms due to the vast search space of possible causal graphs, which can grow exponentially, especially for greedy algorithms using…

Artificial Intelligence · Computer Science 2024-07-09 Uzma Hasan , Md Osman Gani

Synthetic tabular data generation has received increasing attention in recent years, particularly with the emergence of foundation models for tabular data. The breakthrough success of TabPFN (Hollmann et al.,2025), which leverages vast…

Machine Learning · Computer Science 2025-07-08 Frederik Hoppe , Astrid Franz , Lars Kleinemeier , Udo Göbel

Recovering a unique causal graph from observational data is an ill-posed problem because multiple generating mechanisms can lead to the same observational distribution. This problem becomes solvable only by exploiting specific structural or…

Machine Learning · Computer Science 2026-02-09 Ameya Rathod , Sujay Belsare , Salvik Krishna Nautiyal , Dhruv Laad , Ponnurangam Kumaraguru

The rising use of machine learning in various fields requires robust methods to create synthetic tabular data. Data should preserve key characteristics while addressing data scarcity challenges. Current approaches based on Generative…

Machine Learning · Computer Science 2024-11-15 Patricia A. Apellániz , Juan Parras , Santiago Zazo

The generation of synthetic data is a state-of-the-art approach to leverage when access to real data is limited or privacy regulations limit the usability of sensitive data. A fair amount of research has been conducted on synthetic data…

Machine Learning · Computer Science 2024-11-12 Wilhelm Ågren , Victorio Úbeda Sosa

Tabular synthesis models remain ineffective at capturing complex dependencies, and the quality of synthetic data is still insufficient for comprehensive downstream tasks, such as prediction under distribution shifts, automated…

Machine Learning · Computer Science 2024-07-08 Ruibo Tu , Zineb Senane , Lele Cao , Cheng Zhang , Hedvig Kjellström , Gustav Eje Henter

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

Machine Learning · Statistics 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

Discrete Bayesian Networks have been very successful as a framework both for inference and for expressing certain causal hypotheses. In this paper we present a class of graphical models called the chain event graph (CEG) models, that…

Methodology · Statistics 2007-09-24 Eva Riccomagno , Jim Q. Smith

Structural learning of Bayesian Networks (BNs) is a NP-hard problem, which is further complicated by many theoretical issues, such as the I-equivalence among different structures. In this work, we focus on a specific subclass of BNs, named…

Machine Learning · Computer Science 2018-10-24 Daniele Ramazzotti , Marco S. Nobile , Marco Antoniotti , Alex Graudenzi

We investigate the asymptotic properties of Bayesian bivariate causal discovery for Gaussian Linear Structural Equation Models (SEMs) with heteroscedastic noise. We demonstrate that with purely observational data, the posterior distribution…

Statistics Theory · Mathematics 2026-03-30 Valentinian Lungu , Anish Dhir , Mark van der Wilk , Ioannis Kontoyiannis

Synthetic data has a key role to play in data sharing by statistical agencies and other generators of statistical data products. Generative Adversarial Networks (GANs), typically applied to image synthesis, are also a promising method for…

Machine Learning · Computer Science 2024-04-17 Nian Ran , Bahrul Ilmi Nasution , Claire Little , Richard Allmendinger , Mark Elliot

The field of hypothesis generation promises to reduce costs in neuroscience by narrowing the range of interventional studies needed to study various phenomena. Existing machine learning methods can generate scientific hypotheses from…

Machine Learning · Computer Science 2025-07-04 Zachary C. Brown , David Carlson

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…

Deep generative models have shown tremendous capability in data density estimation and data generation from finite samples. While these models have shown impressive performance by learning correlations among features in the data, some…

Machine Learning · Computer Science 2024-05-24 Aneesh Komanduri , Xintao Wu , Yongkai Wu , Feng Chen

Learning a categorical distribution comes with its own set of challenges. A successful approach taken by state-of-the-art works is to cast the problem in a continuous domain to take advantage of the impressive performance of the generative…

Machine Learning · Computer Science 2023-03-09 Florence Regol , Mark Coates

Transporting causal information across populations is a critical challenge in clinical decision-making. Causal modeling provides criteria for identifiability and transportability, but these require knowledge of the causal graph, which…

Machine Learning · Statistics 2026-02-03 Konstantina Lelova , Gregory F. Cooper , Sofia Triantafillou

In recent years, several models have improved the capacity to generate synthetic tabular datasets. However, such models focus on synthesizing simple columnar tables and are not useable on real-life data with complex structures. This paper…

Machine Learning · Computer Science 2022-02-07 Luca Canale , Nicolas Grislain , Grégoire Lothe , Johan Leduc

Causal reasoning is often challenging with spatial data, particularly when handling high-dimensional inputs. To address this, we propose a neural network (NN) based framework integrated with an approximate Gaussian process to manage spatial…

Machine Learning · Computer Science 2024-12-06 Ziyang Jiang , Zach Calhoun , Yiling Liu , Lei Duan , David Carlson

As privacy regulations become more stringent and access to real-world data becomes increasingly constrained, synthetic data generation has emerged as a vital solution, especially for tabular datasets, which are central to domains like…

Machine Learning · Computer Science 2025-07-17 Raju Challagundla , Mohsen Dorodchi , Pu Wang , Minwoo Lee

We introduce a new approach to functional causal modeling from observational data, called Causal Generative Neural Networks (CGNN). CGNN leverages the power of neural networks to learn a generative model of the joint distribution of the…