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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…

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

Evaluating generative adversarial networks (GANs) is inherently challenging. In this paper, we revisit several representative sample-based evaluation metrics for GANs, and address the problem of how to evaluate the evaluation metrics. We…

Machine Learning · Computer Science 2018-08-20 Qiantong Xu , Gao Huang , Yang Yuan , Chuan Guo , Yu Sun , Felix Wu , Kilian Weinberger

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 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

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

The development of accurate medical image classification models is often constrained by privacy concerns and data scarcity for certain conditions, leading to small and imbalanced datasets. To address these limitations, this study explores…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Iman Khazrak , Shakhnoza Takhirova , Mostafa M. Rezaee , Mehrdad Yadollahi , Robert C. Green , Shuteng Niu

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

In image generation, generative models can be evaluated naturally by visually inspecting model outputs. However, this is not always the case for graph generative models (GGMs), making their evaluation challenging. Currently, the standard…

Machine Learning · Computer Science 2022-04-29 Rylee Thompson , Boris Knyazev , Elahe Ghalebi , Jungtaek Kim , Graham W. Taylor

Evaluating the realism of generated images remains a fundamental challenge in generative modeling. Existing distributional metrics such as the Frechet Inception Distance (FID) and CLIP-MMD (CMMD) compare feature distributions at a semantic…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Joé Napolitano , Pascal Nguyen

Graph generation is a crucial task in many fields, including network science and bioinformatics, as it enables the creation of synthetic graphs that mimic the properties of real-world networks for various applications. Graph Generative…

Machine Learning · Computer Science 2026-01-21 Salvatore Romano , Marco Grassia , Giuseppe Mangioni

Generative models have been successfully used for generating realistic signals. Because the likelihood function is typically intractable in most of these models, the common practice is to use "implicit" models that avoid likelihood…

Machine Learning · Computer Science 2024-05-07 Itai Alon , Amir Globerson , Ami Wiesel

While generative adversarial networks (GAN) are popular for their higher sample quality as opposed to other generative models like the variational autoencoders (VAE) and Boltzmann machines, they suffer from the same difficulty of the…

Machine Learning · Computer Science 2021-12-17 Harshvardhan GM , Aanchal Sahu , Mahendra Kumar Gourisaria

An adaptive bandwidth selection procedure for the mixture kernel in the maximum mean discrepancy (MMD) for fitting generative moment matching networks (GMMNs) is introduced, and its ability to improve the learning of copula random number…

Machine Learning · Statistics 2025-09-01 Marius Hofert , Gan Yao

Existing methods for evaluating graph generative models primarily rely on Maximum Mean Discrepancy (MMD) metrics based on graph descriptors. While these metrics can rank generative models, they do not provide an absolute measure of…

Machine Learning · Computer Science 2026-03-18 Markus Krimmel , Philip Hartout , Karsten Borgwardt , Dexiong Chen

Restricted Boltzmann Machines (RBMs) and models derived from them have been successfully used as basic building blocks in deep artificial neural networks for automatic features extraction, unsupervised weights initialization, but also as…

Neural and Evolutionary Computing · Computer Science 2016-07-20 Decebal Constantin Mocanu , Elena Mocanu , Phuong H. Nguyen , Madeleine Gibescu , Antonio Liotta

Restricted Boltzmann Machines and Deep Belief Networks have been successfully used in probabilistic generative model applications such as image occlusion removal, pattern completion and motion synthesis. Generative inference in such…

Neural and Evolutionary Computing · Computer Science 2016-02-22 Ojash Neopane , Srinjoy Das , Ery Arias-Castro , Kenneth Kreutz-Delgado

In recent years, numerous graph generative models (GGMs) have been proposed. However, evaluating these models remains a considerable challenge, primarily due to the difficulty in extracting meaningful graph features that accurately…

Machine Learning · Computer Science 2025-03-18 Chengen Wang , Murat Kantarcioglu

Generative models have proven to be an outstanding tool for representing high-dimensional probability distributions and generating realistic-looking images. An essential characteristic of generative models is their ability to produce…

Machine Learning · Computer Science 2019-11-26 Mohamed Elfeki , Camille Couprie , Morgane Riviere , Mohamed Elhoseiny

Perceptual features (PFs) have been used with great success in tasks such as transfer learning, style transfer, and super-resolution. However, the efficacy of PFs as key source of information for learning generative models is not well…

Computer Vision and Pattern Recognition · Computer Science 2019-08-01 Cicero Nogueira dos Santos , Youssef Mroueh , Inkit Padhi , Pierre Dognin
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