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Generative moment matching networks (GMMNs) are introduced for generating quasi-random samples from multivariate models with any underlying copula in order to compute estimates under variance reduction. So far, quasi-random sampling for…

Machine Learning · Statistics 2020-04-06 Marius Hofert , Avinash Prasad , Mu Zhu

Generative moment matching network (GMMN) is a deep generative model that differs from Generative Adversarial Network (GAN) by replacing the discriminator in GAN with a two-sample test based on kernel maximum mean discrepancy (MMD).…

Machine Learning · Computer Science 2017-11-28 Chun-Liang Li , Wei-Cheng Chang , Yu Cheng , Yiming Yang , Barnabás Póczos

Maximum mean discrepancy (MMD) has been successfully applied to learn deep generative models for characterizing a joint distribution of variables via kernel mean embedding. In this paper, we present conditional generative moment- matching…

Machine Learning · Computer Science 2016-06-15 Yong Ren , Jialian Li , Yucen Luo , Jun Zhu

We consider the problem of learning deep generative models from data. We formulate a method that generates an independent sample via a single feedforward pass through a multilayer perceptron, as in the recently proposed generative…

Machine Learning · Computer Science 2015-02-11 Yujia Li , Kevin Swersky , Richard Zemel

Generative moment matching networks (GMMNs) are introduced as dependence models for the joint innovation distribution of multivariate time series (MTS). Following the popular copula-GARCH approach for modeling dependent MTS data, a…

Methodology · Statistics 2021-10-05 Marius Hofert , Avinash Prasad , Mu Zhu

Generative Adversarial Networks (GANs) have shown impressive performance in generating photo-realistic images. They fit generative models by minimizing certain distance measure between the real image distribution and the generated data…

Machine Learning · Computer Science 2017-09-29 Jianbo Guo , Guangxiang Zhu , Jian Li

Conditional Maximum Mean Discrepancy (CMMD) can capture the discrepancy between conditional distributions by drawing support from nonlinear kernel functions, thus it has been successfully used for pattern classification. However, CMMD does…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Chuan-Xian Ren , Pengfei Ge , Dao-Qing Dai , Hong Yan

We propose a method to optimize the representation and distinguishability of samples from two probability distributions, by maximizing the estimated power of a statistical test based on the maximum mean discrepancy (MMD). This optimized MMD…

Generative moment matching networks (GMMNs) are suggested for modeling the cross-sectional dependence between stochastic processes. The stochastic processes considered are geometric Brownian motions and ARMA-GARCH models. Geometric Brownian…

Machine Learning · Statistics 2021-08-30 Marius Hofert , Avinash Prasad , Mu Zhu

Stochastic-sampling-based Generative Neural Networks, such as Restricted Boltzmann Machines and Generative Adversarial Networks, are now used for applications such as denoising, image occlusion removal, pattern completion, and motion…

Machine Learning · Computer Science 2019-10-29 Alexander Potapov , Ian Colbert , Ken Kreutz-Delgado , Alexander Cloninger , Srinjoy Das

We investigate the training and performance of generative adversarial networks using the Maximum Mean Discrepancy (MMD) as critic, termed MMD GANs. As our main theoretical contribution, we clarify the situation with bias in GAN loss…

Machine Learning · Statistics 2021-01-15 Mikołaj Bińkowski , Danica J. Sutherland , Michael Arbel , Arthur Gretton

Copulas provide a modular parameterization of multivariate distributions that decouples the modeling of marginals from the dependencies between them. Gaussian Mixture Copula Model (GMCM) is a highly flexible copula that can model many kinds…

Methodology · Statistics 2021-09-29 Siva Rajesh Kasa , Vaibhav Rajan

We consider training a deep neural network to generate samples from an unknown distribution given i.i.d. data. We frame learning as an optimization minimizing a two-sample test statistic---informally speaking, a good generator network…

Machine Learning · Statistics 2015-05-18 Gintare Karolina Dziugaite , Daniel M. Roy , Zoubin Ghahramani

Deep generative models can learn to generate realistic-looking images, but many of the most effective methods are adversarial and involve a saddlepoint optimization, which requires a careful balancing of training between a generator network…

Machine Learning · Statistics 2020-02-18 Akash Srivastava , Kai Xu , Michael U. Gutmann , Charles Sutton

While likelihood-based inference and its variants provide a statistically efficient and widely applicable approach to parametric inference, their application to models involving intractable likelihoods poses challenges. In this work, we…

Methodology · Statistics 2019-06-17 Francois-Xavier Briol , Alessandro Barp , Andrew B. Duncan , Mark Girolami

We introduce a hybrid "Modified Genetic Algorithm-Multilevel Stochastic Gradient Descent" (MGA-MSGD) training algorithm that considerably improves accuracy and efficiency of solving 3D mechanical problems described, in strong-form, by PDEs…

Numerical Analysis · Mathematics 2021-11-17 Hamidreza Dehghani , Andreas Zilian

We propose a set of kernel-based tools to evaluate the designs and tune the hyperparameters of conditional sequence models, with a focus on problems in computational biology. The backbone of our tools is a new measure of discrepancy between…

Machine Learning · Statistics 2025-10-20 Pierre Glaser , Steffanie Paul , Alissa M. Hummer , Charlotte M. Deane , Debora S. Marks , Alan N. Amin

Graph generative models are a highly active branch of machine learning. Given the steady development of new models of ever-increasing complexity, it is necessary to provide a principled way to evaluate and compare them. In this paper, we…

Machine Learning · Computer Science 2022-03-21 Leslie O'Bray , Max Horn , Bastian Rieck , Karsten Borgwardt

Kernel techniques are among the most popular and flexible approaches in data science allowing to represent probability measures without loss of information under mild conditions. The resulting mapping called mean embedding gives rise to a…

Machine Learning · Statistics 2024-11-27 Linda Chamakh , Zoltan Szabo

Generative adversarial nets (GANs) are widely used to learn the data sampling process and their performance may heavily depend on the loss functions, given a limited computational budget. This study revisits MMD-GAN that uses the maximum…

Machine Learning · Computer Science 2019-02-11 Wei Wang , Yuan Sun , Saman Halgamuge
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