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The maximum mean discrepancy (MMD) is a recently proposed test statistic for two-sample test. Its quadratic time complexity, however, greatly hampers its availability to large-scale applications. To accelerate the MMD calculation, in this…

Artificial Intelligence · Computer Science 2015-06-19 Ji Zhao , Deyu Meng

Deep neural networks achieve superior performance for learning from independent and identically distributed (i.i.d.) data. However, their performance deteriorates significantly when handling out-of-distribution (OoD) data, where the…

Machine Learning · Computer Science 2023-07-25 Haoyue Bai , Ceyuan Yang , Yinghao Xu , S. -H. Gary Chan , Bolei Zhou

Maximum likelihood estimation of energy-based models is a challenging problem due to the intractability of the log-likelihood gradient. In this work, we propose learning both the energy function and an amortized approximate sampling…

Machine Learning · Computer Science 2019-05-29 Rithesh Kumar , Sherjil Ozair , Anirudh Goyal , Aaron Courville , Yoshua Bengio

The autoregressive language model (ALM) trained with maximum likelihood estimation (MLE) is widely used in unconditional text generation. Due to exposure bias, the generated texts still suffer from low quality and diversity. This presents…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Xingyuan Chen , Ping Cai , Peng Jin , Hongjun Wang , Xinyu Dai , Jiajun Chen

Recently, generative machine-learning models have gained popularity in physics, driven by the goal of improving the efficiency of Markov chain Monte Carlo techniques and of exploring their potential in capturing experimental data…

Statistical Mechanics · Physics 2021-09-03 Japneet Singh , Vipul Arora , Vinay Gupta , Mathias S. Scheurer

Over the past years, Generative Adversarial Networks (GANs) have shown a remarkable generation performance especially in image synthesis. Unfortunately, they are also known for having an unstable training process and might loose parts of…

Machine Learning · Computer Science 2019-11-18 Teodora Pandeva , Matthias Schubert

The emergence of deep generative models has recently enabled the automatic generation of massive amounts of graphical content, both in 2D and in 3D. Generative Adversarial Networks (GANs) and style control mechanisms, such as Adaptive…

Graphics · Computer Science 2020-04-28 Omry Sendik , Dani Lischinski , Daniel Cohen-Or

How can we generate samples from a conditional distribution that we never fully observe? This question arises across a broad range of applications in both modern machine learning and classical statistics, including image post-processing in…

Machine Learning · Statistics 2026-05-26 Anirban Chatterjee , Sayantan Choudhury , Rohan Hore

Unsupervised domain mapping has attracted substantial attention in recent years due to the success of models based on the cycle-consistency assumption. These models map between two domains by fooling a probabilistic discriminator, thereby…

Machine Learning · Computer Science 2019-01-25 Matthew Amodio , Smita Krishnaswamy

Bias evaluation is fundamental to trustworthy AI, both in terms of checking data quality and in terms of checking the outputs of AI systems. In testing data quality, for example, one may study the distance of a given dataset, viewed as a…

Machine Learning · Computer Science 2025-06-12 Jiří Němeček , Mark Kozdoba , Illia Kryvoviaz , Tomáš Pevný , Jakub Mareček

Training energy-based probabilistic models is confronted with apparently intractable sums, whose Monte Carlo estimation requires sampling from the estimated probability distribution in the inner loop of training. This can be approximately…

Machine Learning · Computer Science 2016-06-13 Taesup Kim , Yoshua Bengio

A longstanding problem in machine learning is to find unsupervised methods that can learn the statistical structure of high dimensional signals. In recent years, GANs have gained much attention as a possible solution to the problem, and in…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Eitan Richardson , Yair Weiss

Continuous-time generative models have achieved remarkable success in image restoration and synthesis. However, controlling the composition of multiple pre-trained models remains an open challenge. Current approaches largely treat…

Machine Learning · Computer Science 2026-05-20 Riccardo Barbano , Alexander Denker , Zeljko Kereta , Runchang Li , Francisco Vargas

A frequent problem in statistical science is how to properly handle missing data in matched paired observations. There is a large body of literature coping with the univariate case. Yet, the ongoing technological progress in measuring…

Methodology · Statistics 2022-06-06 Marcos Matabuena , Paulo Félix , Marc Ditzhaus , Juan Vidal , Francisco Gude

Kernel embeddings of distributions and the Maximum Mean Discrepancy (MMD), the resulting distance between distributions, are useful tools for fully nonparametric two-sample testing and learning on distributions. However, it is rarely that…

Machine Learning · Statistics 2017-11-07 Ho Chung Leon Law , Christopher Yau , Dino Sejdinovic

Comparing $K$-sample distributions is a fundamental problem in data science that arises in a wide variety of fields and applications. In this article, we introduce a maximum-of-differences approach to make such comparisons. Specifically, we…

Methodology · Statistics 2026-04-13 Wei Lan , Long Feng , Runze Li , Chih-Ling Tsai

We introduce Midpoint Generative Models (MGM), a principled framework for training one-step generative models. MGM is based on a simple symmetry of Flow Matching with linear interpolation: when the two endpoint distributions coincide, the…

Machine Learning · Computer Science 2026-05-29 Daniil Shlenskii , Nikita Gushchin , Lev Novitskiy , Dmitry V. Dylov , Alexander Korotin

Generative modelling is often cast as minimizing a similarity measure between a data distribution and a model distribution. Recently, a popular choice for the similarity measure has been the Wasserstein metric, which can be expressed in the…

Machine Learning · Computer Science 2019-10-10 Anton Mallasto , Guido Montúfar , Augusto Gerolin

Efficient adversarial attack methods are critical for assessing the robustness of computer vision models. In this paper, we reconstruct the optimization objective for generating adversarial examples as "maximizing the difference between the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Xinlei Liu , Tao Hu , Peng Yi , Weitao Han , Jichao Xie , Baolin Li

The ability to automatically estimate the quality and coverage of the samples produced by a generative model is a vital requirement for driving algorithm research. We present an evaluation metric that can separately and reliably measure…

Machine Learning · Statistics 2019-10-31 Tuomas Kynkäänniemi , Tero Karras , Samuli Laine , Jaakko Lehtinen , Timo Aila