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The study of quantum generative models is well-motivated, not only because of its importance in quantum machine learning and quantum chemistry but also because of the perspective of its implementation on near-term quantum machines. Inspired…

Quantum Physics · Physics 2019-11-04 Shouvanik Chakrabarti , Yiming Huang , Tongyang Li , Soheil Feizi , Xiaodi Wu

In the context of inferring a Bayesian network structure (directed acyclic graph, DAG for short), we devise a non-reversible continuous time Markov chain, the ``Causal Zig-Zag sampler'', that targets a probability distribution over classes…

Machine Learning · Statistics 2024-09-12 Moritz Schauer , Marcel Wienöbst

Without any assumptions about data generation, multiple causal models may explain our observations equally well. To avoid selecting a single arbitrary model that could result in unsafe decisions if it does not match reality, it is therefore…

Machine Learning · Computer Science 2025-01-13 Tristan Deleu

The causal dependence in data is often characterized by Directed Acyclic Graphical (DAG) models, widely used in many areas. Causal discovery aims to recover the DAG structure using observational data. This paper focuses on causal discovery…

Machine Learning · Computer Science 2024-06-12 Boxin Zhao , Weishi Wang , Dingyuan Zhu , Ziqi Liu , Dong Wang , Zhiqiang Zhang , Jun Zhou , Mladen Kolar

Bayesian networks are probabilistic graphical models widely employed to understand dependencies in high dimensional data, and even to facilitate causal discovery. Learning the underlying network structure, which is encoded as a directed…

Machine Learning · Statistics 2022-02-03 Jack Kuipers , Polina Suter , Giusi Moffa

Heretofore, learning the directed acyclic graphs (DAGs) that encode the cause-effect relationships embedded in observational data is a computationally challenging problem. A recent trend of studies has shown that it is possible to recover…

Machine Learning · Computer Science 2023-07-18 Bao Duong , Thin Nguyen

We introduce Primal-Dual Wasserstein GAN, a new learning algorithm for building latent variable models of the data distribution based on the primal and the dual formulations of the optimal transport (OT) problem. We utilize the primal…

Machine Learning · Statistics 2018-05-25 Mevlana Gemici , Zeynep Akata , Max Welling

Learning the structure of causal directed acyclic graphs (DAGs) is useful in many areas of machine learning and artificial intelligence, with wide applications. However, in the high-dimensional setting, it is challenging to obtain good…

Machine Learning · Statistics 2024-05-27 Stephen Smith , Qing Zhou

Bayesian causal structure learning aims to learn a posterior distribution over directed acyclic graphs (DAGs), and the mechanisms that define the relationship between parent and child variables. By taking a Bayesian approach, it is possible…

Machine Learning · Computer Science 2024-06-04 Mizu Nishikawa-Toomey , Tristan Deleu , Jithendaraa Subramanian , Yoshua Bengio , Laurent Charlin

Bayesian causal discovery offers the power to quantify epistemic uncertainties among a broad range of structurally diverse causal theories potentially explaining the data, represented in forms of directed acyclic graphs (DAGs). However,…

Machine Learning · Computer Science 2024-08-30 Nu Hoang , Bao Duong , Thin Nguyen

Structural learning, which aims to learn directed acyclic graphs (DAGs) from observational data, is foundational to causal reasoning and scientific discovery. Recent advancements formulate structural learning into a continuous optimization…

Machine Learning · Computer Science 2023-04-18 Song Wei , Yao Xie

Directed acyclic graph (DAG) learning is a central task in structure discovery and causal inference. Although the field has witnessed remarkable advances over the past few years, it remains statistically and computationally challenging to…

Machine Learning · Statistics 2026-02-09 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

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

We introduce the decision-aware time-series conditional generative adversarial network (DAT-CGAN) as a method for time-series generation. The framework adopts a multi-Wasserstein loss on structured decision-related quantities, capturing the…

Machine Learning · Computer Science 2023-02-07 He Sun , Zhun Deng , Hui Chen , David C. Parkes

This paper describes a new approach for training generative adversarial networks (GAN) to understand the detailed 3D shape of objects. While GANs have been used in this domain previously, they are notoriously hard to train, especially for…

Computer Vision and Pattern Recognition · Computer Science 2017-11-01 Edward Smith , David Meger

The generative adversarial network (GAN) is a well-known model for learning high-dimensional distributions, but the mechanism for its generalization ability is not understood. In particular, GAN is vulnerable to the memorization phenomenon,…

Machine Learning · Computer Science 2026-02-18 Hongkang Yang , Weinan E

Estimating the structure of directed acyclic graphs (DAGs) from observational data remains a significant challenge in machine learning. Most research in this area concentrates on learning a single DAG for the entire population. This paper…

Machine Learning · Statistics 2024-02-21 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

This paper proposes a new theoretical lens to view Wasserstein generative adversarial networks (WGANs). To minimize the Wasserstein-1 distance between the true data distribution and our estimate of it, we derive a distribution-dependent…

Machine Learning · Statistics 2025-02-05 Zachariah Malik , Yu-Jui Huang

We introduce a new algorithm named WGAN, an alternative to traditional GAN training. In this new model, we show that we can improve the stability of learning, get rid of problems like mode collapse, and provide meaningful learning curves…

Machine Learning · Statistics 2017-12-08 Martin Arjovsky , Soumith Chintala , Léon Bottou

Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

Machine Learning · Computer Science 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu