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Related papers: A Generative Approach to Quasi-Random Sampling fro…

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The present work addresses the question how sampling algorithms for commonly applied copula models can be adapted to account for quasi-random numbers. Besides sampling methods such as the conditional distribution method (based on a…

Computation · Statistics 2016-03-15 Mathieu Cambou , Marius Hofert , Christiane Lemieux

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

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

Machine Learning · Statistics 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

The ability to generate high-fidelity synthetic data is crucial when available (real) data is limited or where privacy and data protection standards allow only for limited use of the given data, e.g., in medical and financial data-sets.…

Machine Learning · Statistics 2021-01-05 Sanket Kamthe , Samuel Assefa , Marc Deisenroth

Modeling joint probability distributions is an important task in a wide variety of fields. One popular technique for this employs a family of multivariate distributions with uniform marginals called copulas. While the theory of modeling…

Population synthesis involves generating synthetic yet realistic representations of a target population of micro-agents for behavioral modeling and simulation. Traditional methods, often reliant on target population samples, such as census…

By sampling from the latent space of an autoencoder and decoding the latent space samples to the original data space, any autoencoder can simply be turned into a generative model. For this to work, it is necessary to model the autoencoder's…

Machine Learning · Statistics 2023-09-19 Maximilian Coblenz , Oliver Grothe , Fabian Kächele

Building on the remarkable achievements in generative sampling of natural images, we propose an innovative challenge, potentially overly ambitious, which involves generating samples of entire multivariate time series that resemble images.…

Thanks to their ability to capture complex dependence structures, copulas are frequently used to glue random variables into a joint model with arbitrary marginal distributions. More recently, they have been applied to solve statistical…

Methodology · Statistics 2022-08-22 Thomas Nagler , Thibault Vatter

Sampling-based motion planning under task constraints is challenging because the null-measure constraint manifold in the configuration space makes rejection sampling extremely inefficient, if not impossible. This paper presents a…

Robotics · Computer Science 2022-04-15 Cihan Acar , Keng Peng Tee

Learning the joint dependence of discrete variables is a fundamental problem in machine learning, with many applications including prediction, clustering and dimensionality reduction. More recently, the framework of copula modeling has…

Machine Learning · Statistics 2013-11-15 Alfredo Kalaitzis , Ricardo Silva

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Generative adversarial networks (GANs) have been recently applied as a novel emulation technique for large scale structure simulations. Recent results show that GANs can be used as a fast, efficient and computationally cheap emulator for…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-06 Andrius Tamosiunas , Hans A. Winther , Kazuya Koyama , David J. Bacon , Robert C. Nichol , Ben Mawdsley

Copulas, generalized estimating equations, and generalized linear mixed models promote the analysis of grouped data where non-normal responses are correlated. Unfortunately, parameter estimation remains challenging in these three…

Methodology · Statistics 2024-10-16 Sarah S. Ji , Benjamin B. Chu , Hua Zhou , Kenneth Lange

We develop a general variational inference method that preserves dependency among the latent variables. Our method uses copulas to augment the families of distributions used in mean-field and structured approximations. Copulas model the…

Machine Learning · Statistics 2015-11-03 Dustin Tran , David M. Blei , Edoardo M. Airoldi

Instance-wise feature selection and ranking methods can achieve a good selection of task-friendly features for each sample in the context of neural networks. However, existing approaches that assume feature subsets to be independent are…

Machine Learning · Computer Science 2023-08-02 Hanyu Peng , Guanhua Fang , Ping Li

Inferring the most likely configuration for a subset of variables of a joint distribution given the remaining ones - which we refer to as co-generation - is an important challenge that is computationally demanding for all but the simplest…

Computer Vision and Pattern Recognition · Computer Science 2019-11-01 Tiantian Fang , Alexander G. Schwing

Sampling-based path planning is a popular methodology for robot path planning. With a uniform sampling strategy to explore the state space, a feasible path can be found without the complex geometric modeling of the configuration space.…

Robotics · Computer Science 2020-12-08 Tianyi Zhang , Jiankun Wang , Max Q. -H. Meng

Space filling designs are central to studying complex systems in various areas of science. They are used for obtaining an overall understanding of the behaviour of the response over the input space, model construction and uncertainty…

Methodology · Statistics 2016-08-10 Shirin Golchi , Jason L. Loeppky

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

Machine Learning · Statistics 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou
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