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The trimming scheme with a prefixed cutoff portion is known as a method of improving the robustness of statistical models such as multivariate Gaussian mixture models (MG- MMs) in small scale tests by alleviating the impacts of outliers.…

Computation and Language · Computer Science 2014-05-20 Dalei Wu , Haiqing Wu

We propose to tackle the mode collapse problem in generative adversarial networks (GANs) by using multiple discriminators and assigning a different portion of each minibatch, called microbatch, to each discriminator. We gradually change…

Machine Learning · Computer Science 2020-01-13 Gonçalo Mordido , Haojin Yang , Christoph Meinel

The kernel two-sample test based on the maximum mean discrepancy (MMD) is one of the most popular methods for detecting differences between two distributions over general metric spaces. In this paper we propose a method to boost the power…

Methodology · Statistics 2024-09-06 Anirban Chatterjee , Bhaswar B. Bhattacharya

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

Diffusion-based generative models (DBGMs) perturb data to a target noise distribution and reverse this process to generate samples. The choice of noising process, or inference diffusion process, affects both likelihoods and sample quality.…

Machine Learning · Computer Science 2023-03-06 Raghav Singhal , Mark Goldstein , Rajesh Ranganath

Modern applications and progress in deep learning research have created renewed interest for generative models of text and of images. However, even today it is unclear what objective functions one should use to train and evaluate these…

Machine Learning · Statistics 2015-11-17 Ferenc Huszár

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

Machine Learning · Computer Science 2026-04-08 Kevin Zhang , Yixin Wang

Maximum Probability Framework, powered by Maximum Probability Theorem, is a recent theoretical development in artificial intelligence, aiming to formally define probabilistic models, guiding development of objective functions, and…

Machine Learning · Computer Science 2022-09-08 Amir Emad Marvasti , Ehsan Emad Marvasti , Ulas Bagci

Generative adversarial networks (GANs) are innovative techniques for learning generative models of complex data distributions from samples. Despite remarkable recent improvements in generating realistic images, one of their major…

Machine Learning · Computer Science 2018-11-05 Zinan Lin , Ashish Khetan , Giulia Fanti , Sewoong Oh

Recent state-of-the-art active learning methods have mostly leveraged Generative Adversarial Networks (GAN) for sample acquisition; however, GAN is usually known to suffer from instability and sensitivity to hyper-parameters. In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Jae Won Cho , Dong-Jin Kim , Yunjae Jung , In So Kweon

We propose a nonparametric two-sample test procedure based on Maximum Mean Discrepancy (MMD) for testing the hypothesis that two samples of functions have the same underlying distribution, using kernels defined on function spaces. This…

Statistics Theory · Mathematics 2020-10-20 George Wynne , Andrew B. Duncan

The learning of domain-invariant representations in the context of domain adaptation with neural networks is considered. We propose a new regularization method that minimizes the discrepancy between domain-specific latent feature…

Interpolations in the latent space of deep generative models is one of the standard tools to synthesize semantically meaningful mixtures of generated samples. As the generator function is non-linear, commonly used linear interpolations in…

Machine Learning · Computer Science 2022-03-03 Henning Petzka , Ted Kronvall , Cristian Sminchisescu

This paper introduces a machine for sampling approximate model-X knockoffs for arbitrary and unspecified data distributions using deep generative models. The main idea is to iteratively refine a knockoff sampling mechanism until a criterion…

Methodology · Statistics 2020-03-03 Yaniv Romano , Matteo Sesia , Emmanuel J. Candès

Generative adversarial networks (GANs) generate data based on minimizing a divergence between two distributions. The choice of that divergence is therefore critical. We argue that the divergence must take into account the hypothesis set and…

Machine Learning · Computer Science 2019-11-07 Ben Adlam , Corinna Cortes , Mehryar Mohri , Ningshan Zhang

Auto-encoding generative adversarial networks (GANs) combine the standard GAN algorithm, which discriminates between real and model-generated data, with a reconstruction loss given by an auto-encoder. Such models aim to prevent mode…

Machine Learning · Statistics 2017-10-24 Mihaela Rosca , Balaji Lakshminarayanan , David Warde-Farley , Shakir Mohamed

In many practical transfer learning scenarios, the feature distribution is different across the source and target domains (i.e. non-i.i.d.). Maximum mean discrepancy (MMD), as a domain discrepancy metric, has achieved promising performance…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Lei Zhang , Shanshan Wang , Guang-Bin Huang , Wangmeng Zuo , Jian Yang , David Zhang

We propose a gradient flow procedure for generative modeling by transporting particles from an initial source distribution to a target distribution, where the gradient field on the particles is given by a noise-adaptive Wasserstein Gradient…

Machine Learning · Computer Science 2024-05-14 Alexandre Galashov , Valentin de Bortoli , 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

Likelihood from a generative model is a natural statistic for detecting out-of-distribution (OoD) samples. However, generative models have been shown to assign higher likelihood to OoD samples compared to ones from the training…

Machine Learning · Computer Science 2019-10-22 Jiaming Song , Yang Song , Stefano Ermon