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Many data-driven decision problems are formulated using a nominal distribution estimated from historical data, while performance is ultimately determined by a deployment distribution that may be shifted, context-dependent, partially…

Machine Learning · Computer Science 2026-04-07 Xiuyuan Cheng , Yunqin Zhu , Yao Xie

We present a Bayesian nonparametric model for conditional distribution estimation using Bayesian additive regression trees (BART). The generative model we use is based on rejection sampling from a base model. Typical of BART models, our…

Methodology · Statistics 2022-02-02 Yinpu Li , Antonio R. Linero , Jared S. Murray

We present a deep generative model, named Monge-Amp\`ere flow, which builds on continuous-time gradient flow arising from the Monge-Amp\`ere equation in optimal transport theory. The generative map from the latent space to the data space…

Machine Learning · Computer Science 2018-09-28 Linfeng Zhang , Weinan E , Lei Wang

In the study of natural and artificial complex systems, responses that are not completely determined by the considered decision variables are commonly modelled probabilistically, resulting in response distributions varying across decision…

Methodology · Statistics 2021-10-07 Athénaïs Gautier , David Ginsbourger , Guillaume Pirot

We present a new transport-based approach to efficiently perform sequential Bayesian inference of static model parameters. The strategy is based on the extraction of conditional distribution from the joint distribution of parameters and…

Methodology · Statistics 2023-08-29 Paul-Baptiste Rubio , Youssef Marzouk , Matthew Parno

We derive a novel generative model from iterative Gaussian posterior inference. By treating the generated sample as an unknown variable, we can formulate the sampling process in the language of Bayesian probability. Our model uses a…

Machine Learning · Computer Science 2026-01-28 Marten Lienen , Marcel Kollovieh , Stephan Günnemann

Conditional simulation is a fundamental task in statistical modeling: Generate samples from the conditionals given finitely many data points from a joint distribution. One promising approach is to construct conditional Brenier maps, where…

This paper is devoted to the problem of sampling Gaussian fields in high dimension. Solutions exist for two specific structures of inverse covariance : sparse and circulant. The proposed approach is valid in a more general case and…

Computation · Statistics 2011-05-31 F. Orieux , O. Féron , J. -F. Giovannelli

Let $\pi_{0}$ and $\pi_{1}$ be two distributions on the Borel space $(\mathbb{R}^{d},\mathcal{B}(\mathbb{R}^{d}))$. Any measurable function $T:\mathbb{R}^{d}\rightarrow\mathbb{R}^{d}$ such that $Y=T(X)\sim\pi_{1}$ if $X\sim\pi_{0}$ is…

Computation · Statistics 2020-01-22 Jeremy Heng , Arnaud Doucet , Yvo Pokern

Machine learning systems operate under the assumption that training and test data are sampled from a fixed probability distribution. However, this assumptions is rarely verified in practice, as the conditions upon which data was acquired…

Machine Learning · Computer Science 2025-07-09 Eduardo Fernandes Montesuma , Fred Maurice Ngolè Mboula , Antoine Souloumiac

Leveraging the inherent connection between sensing systems and wireless communications can improve their overall performance and is the core objective of joint communications and sensing. For effective communications, one has to frequently…

Signal Processing · Electrical Eng. & Systems 2025-02-26 Benedikt Böck , Franz Weißer , Michael Baur , Wolfgang Utschick

Motivated by the computational difficulties incurred by popular deep learning algorithms for the generative modeling of temporal densities, we propose a cheap alternative which requires minimal hyperparameter tuning and scales favorably to…

Machine Learning · Statistics 2023-10-13 Jonah Botvinick-Greenhouse , Yunan Yang , Romit Maulik

Generative modeling of spatio-temporal fields is crucial for a variety of applications, including stochastic weather generators and climate-model surrogates. However, many such fields exhibit complex dependence structures that vary across…

Methodology · Statistics 2026-05-06 Carrie J. Lei-Cramer , Jian Cao , Matthias Katzfuss

Generating samples given a specific label requires estimating conditional distributions. We derive a tractable upper bound of the Wasserstein distance between conditional distributions to lay the theoretical groundwork to learn conditional…

Machine Learning · Statistics 2023-08-29 Young-geun Kim , Kyungbok Lee , Youngwon Choi , Joong-Ho Won , Myunghee Cho Paik

Modeling complex conditional distributions is critical in a variety of settings. Despite a long tradition of research into conditional density estimation, current methods employ either simple parametric forms or are difficult to learn in…

Machine Learning · Statistics 2018-02-15 Brian L Trippe , Richard E Turner

Contextual optimization enhances decision quality by leveraging side information to improve predictions of uncertain parameters. However, existing approaches face significant challenges when dealing with multimodal or mixtures of…

Optimization and Control · Mathematics 2025-09-19 YoungChul Yoon , Grani A. Hanasusanto , Yijie Wang

Alongside optimization-based planners, sampling-based approaches are often used in trajectory planning for autonomous driving due to their simplicity. Model predictive path integral control is a framework that builds upon optimization…

Robotics · Computer Science 2026-02-09 Georg Rabenstein , Lars Ullrich , Knut Graichen

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

We propose the characteristic generator, a novel one-step generative model that combines the efficiency of sampling in Generative Adversarial Networks (GANs) with the stable performance of flow-based models. Our model is driven by…

Machine Learning · Computer Science 2025-12-29 Zhao Ding , Chenguang Duan , Yuling Jiao , Ruoxuan Li , Jerry Zhijian Yang , Pingwen Zhang

Any continuous conditional distribution of $Y$ given $X$ can be generated from a transform of a known noise distribution $U$ such as the uniform or normal distribution via $Y = g(X, U)$. This paper provides an estimator of such a generative…

Methodology · Statistics 2026-05-05 Jinhang Chai , Jianqing Fan , Yihong Gu