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Measuring divergence between two distributions is essential in machine learning and statistics and has various applications including binary classification, change point detection, and two-sample test. Furthermore, in the era of big data,…

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

We propose MAD-GAN, an intuitive generalization to the Generative Adversarial Networks (GANs) and its conditional variants to address the well known problem of mode collapse. First, MAD-GAN is a multi-agent GAN architecture incorporating…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Arnab Ghosh , Viveka Kulharia , Vinay Namboodiri , Philip H. S. Torr , Puneet K. Dokania

We present a novel neural network Maximum Mean Discrepancy (MMD) statistic by identifying a new connection between neural tangent kernel (NTK) and MMD. This connection enables us to develop a computationally efficient and memory-efficient…

Machine Learning · Statistics 2021-10-19 Xiuyuan Cheng , Yao Xie

In this work, we present a method for unsupervised domain adaptation. Many adversarial learning methods train domain classifier networks to distinguish the features as either a source or target and train a feature generator network to mimic…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Kuniaki Saito , Kohei Watanabe , Yoshitaka Ushiku , Tatsuya Harada

We propose a framework of generative adversarial networks with multiple discriminators, which collaborate to represent a real dataset more effectively. Our approach facilitates learning a generator consistent with the underlying data…

Machine Learning · Computer Science 2024-04-04 Jinyoung Choi , Bohyung Han

Diffusion probabilistic models (DPMs) are a class of powerful deep generative models (DGMs). Despite their success, the iterative generation process over the full timesteps is much less efficient than other DGMs such as GANs. Thus, the…

Machine Learning · Computer Science 2022-06-16 Fan Bao , Chongxuan Li , Jiacheng Sun , Jun Zhu , Bo Zhang

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

Machine Learning · Statistics 2025-12-18 Hugo Lavenant , Giacomo Zanella

Generative Adversarial Networks (GANs) have been shown to produce realistically looking synthetic images with remarkable success, yet their performance seems less impressive when the training set is highly diverse. In order to provide a…

Machine Learning · Computer Science 2018-08-31 Matan Ben-Yosef , Daphna Weinshall

Generative adversarial networks (GANs) are pow- erful generative models based on providing feed- back to a generative network via a discriminator network. However, the discriminator usually as- sesses individual samples. This prevents the…

Machine Learning · Computer Science 2018-06-20 Thomas Lucas , Corentin Tallec , Jakob Verbeek , Yann Ollivier

The purpose of unconditional text generation is to train a model with real sentences, then generate novel sentences of the same quality and diversity as the training data. However, when different metrics are used for comparing the methods…

Computation and Language · Computer Science 2020-07-03 Ping Cai , Xingyuan Chen , Peng Jin , Hongjun Wang , Tianrui Li

Recent advances in generative modeling have led to an increased interest in the study of statistical divergences as means of model comparison. Commonly used evaluation methods, such as the Frechet Inception Distance (FID), correlate well…

Machine Learning · Statistics 2018-10-30 Mehdi S. M. Sajjadi , Olivier Bachem , Mario Lucic , Olivier Bousquet , Sylvain Gelly

We propose a new framework for estimating generative models via an adversarial process, in which we simultaneously train two models: a generative model G that captures the data distribution, and a discriminative model D that estimates the…

Discrepancy measures between probability distributions are at the core of statistical inference and machine learning. In many applications, distributions of interest are supported on different spaces, and yet a meaningful correspondence…

Machine Learning · Computer Science 2021-11-23 Zhengxin Zhang , Youssef Mroueh , Ziv Goldfeld , Bharath K. Sriperumbudur

The idea of adversarial learning of regularization functionals has recently been introduced in the wider context of inverse problems. The intuition behind this method is the realization that it is not only necessary to learn the basic…

Numerical Analysis · Mathematics 2024-04-25 Martin Ludvigsen , Markus Grasmair

Understanding how well a deep generative model captures a distribution of high-dimensional data remains an important open challenge. It is especially difficult for certain model classes, such as Generative Adversarial Networks and Diffusion…

Machine Learning · Computer Science 2023-08-08 Suman Ravuri , Mélanie Rey , Shakir Mohamed , Marc Deisenroth

In this work, we propose to tackle the problem of domain generalization in the context of \textit{insufficient samples}. Instead of extracting latent feature embeddings based on deterministic models, we propose to learn a domain-invariant…

Machine Learning · Computer Science 2024-02-12 Kecheng Chen , Elena Gal , Hong Yan , Haoliang Li

Accurate quantification of uncertainty is crucial for real-world applications of machine learning. However, modern deep neural networks still produce unreliable predictive uncertainty, often yielding over-confident predictions. In this…

Machine Learning · Computer Science 2020-10-29 Peng Cui , Wenbo Hu , Jun Zhu

We study two-sample variable selection: identifying variables that discriminate between the distributions of two sets of data vectors. Such variables help scientists understand the mechanisms behind dataset discrepancies. Although…

Machine Learning · Statistics 2025-11-06 Kensuke Mitsuzawa , Motonobu Kanagawa , Stefano Bortoli , Margherita Grossi , Paolo Papotti

The kernel Maximum Mean Discrepancy~(MMD) is a popular multivariate distance metric between distributions that has found utility in two-sample testing. The usual kernel-MMD test statistic is a degenerate U-statistic under the null, and thus…

Methodology · Statistics 2025-09-16 Shubhanshu Shekhar , Ilmun Kim , Aaditya Ramdas