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Conditional distribution is a fundamental quantity for describing the relationship between a response and a predictor. We propose a Wasserstein generative approach to learning a conditional distribution. The proposed approach uses a…

Machine Learning · Computer Science 2021-12-21 Shiao Liu , Xingyu Zhou , Yuling Jiao , Jian Huang

The feed-forward relationship naturally observed in time-dependent processes and in a diverse number of real systems -such as some food-webs and electronic and neural wiring- can be described in terms of so-called directed acyclic graphs…

Physics and Society · Physics 2015-05-19 Joaquín Goñi , Bernat Corominas-Murtra , Ricard V. Solé , Carlos Rodríguez-Caso

Under stringent model type and variable distribution assumptions, differentiable score-based causal discovery methods learn a directed acyclic graph (DAG) from observational data by evaluating candidate graphs over an average score…

Machine Learning · Computer Science 2023-03-07 An Zhang , Fangfu Liu , Wenchang Ma , Zhibo Cai , Xiang Wang , Tat-seng Chua

A new causal discovery method, Structural Agnostic Modeling (SAM), is presented in this paper. Leveraging both conditional independencies and distributional asymmetries, SAM aims to find the underlying causal structure from observational…

Machine Learning · Statistics 2022-07-26 Diviyan Kalainathan , Olivier Goudet , Isabelle Guyon , David Lopez-Paz , Michèle Sebag

Recent techniques built on Generative Adversarial Networks (GANs), such as Cycle-Consistent GANs, are able to learn mappings among different domains built from unpaired datasets, through min-max optimization games between generators and…

Machine Learning · Computer Science 2020-08-18 Haoran You , Yu Cheng , Tianheng Cheng , Chunliang Li , Pan Zhou

This paper raises an implicit manifold learning perspective in Generative Adversarial Networks (GANs), by studying how the support of the learned distribution, modelled as a submanifold $\mathcal{M}_{\theta}$, perfectly match with…

Machine Learning · Statistics 2017-11-01 Kry Yik Chau Lui , Yanshuai Cao , Maxime Gazeau , Kelvin Shuangjian Zhang

Predicting the Stock movement attracts much attention from both industry and academia. Despite such significant efforts, the results remain unsatisfactory due to the inherently complicated nature of the stock market driven by factors…

Statistical Finance · Quantitative Finance 2023-03-01 Jingyi Gu , Fadi P. Deek , Guiling Wang

This paper explains the math behind a generative adversarial network (GAN) model and why it is hard to be trained. Wasserstein GAN is intended to improve GANs' training by adopting a smooth metric for measuring the distance between two…

Machine Learning · Computer Science 2019-04-22 Lilian Weng

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

Machine Learning · Computer Science 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

Discovering causal structures from data is a challenging inference problem of fundamental importance in all areas of science. The appealing properties of neural networks have recently led to a surge of interest in differentiable neural…

Recovering underlying Directed Acyclic Graph (DAG) structures from observational data is highly challenging due to the combinatorial nature of the DAG-constrained optimization problem. Recently, DAG learning has been cast as a continuous…

Machine Learning · Computer Science 2022-12-23 Zhen Zhang , Ignavier Ng , Dong Gong , Yuhang Liu , Ehsan M Abbasnejad , Mingming Gong , Kun Zhang , Javen Qinfeng Shi

Causal processes in biomedicine may contain cycles, evolve over time or differ between populations. However, many graphical models cannot accommodate these conditions. We propose to model causation using a mixture of directed cyclic graphs…

Machine Learning · Statistics 2020-09-08 Eric V. Strobl

In this paper, we study a physics-informed algorithm for Wasserstein Generative Adversarial Networks (WGANs) for uncertainty quantification in solutions of partial differential equations. By using groupsort activation functions in…

Numerical Analysis · Mathematics 2022-08-10 Yihang Gao , Michael K. Ng

The generative adversarial imitation learning (GAIL) has provided an adversarial learning framework for imitating expert policy from demonstrations in high-dimensional continuous tasks. However, almost all GAIL and its extensions only…

Machine Learning · Computer Science 2020-12-09 Ming Zhang , Yawei Wang , Xiaoteng Ma , Li Xia , Jun Yang , Zhiheng Li , Xiu Li

Recent successes in Generative Adversarial Networks (GAN) have affirmed the importance of using more data in GAN training. Yet it is expensive to collect data in many domains such as medical applications. Data Augmentation (DA) has been…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Ngoc-Trung Tran , Viet-Hung Tran , Ngoc-Bao Nguyen , Trung-Kien Nguyen , Ngai-Man Cheung

Structural equation models and Bayesian networks have been widely used to analyze causal relations between continuous variables. In such frameworks, linear acyclic models are typically used to model the data-generating process of variables.…

We propose a stable, parallel approach to train Wasserstein Conditional Generative Adversarial Neural Networks (W-CGANs) under the constraint of a fixed computational budget. Differently from previous distributed GANs training techniques,…

Artificial Intelligence · Computer Science 2022-08-26 Massimiliano Lupo Pasini , Junqi Yin

Generative adversarial networks (GANs) are an exciting alternative to algorithms for solving density estimation problems---using data to assess how likely samples are to be drawn from the same distribution. Instead of explicitly computing…

Machine Learning · Computer Science 2017-09-20 Christopher Grimm , Yuhang Song , Michael L. Littman

Generative Adversarial Nets (GANs) are very successful at modeling distributions from given samples, even in the high-dimensional case. However, their formulation is also known to be hard to optimize and often not stable. While this is…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Ishan Deshpande , Ziyu Zhang , Alexander Schwing

We consider the problem of recovering the true causal structure among a set of variables, generated by a linear acyclic structural equation model (SEM) with the error terms being independent, not necessarily Gaussian, and having equal…

Statistics Theory · Mathematics 2026-03-25 Anamitra Chaudhuri , Yang Ni , Anirban Bhattacharya
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