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The use of a hypothetical generative model was been suggested for causal analysis of observational data. The very assumption of a particular model is a commitment to a certain set of variables and therefore to a certain set of possible…

Artificial Intelligence · Computer Science 2023-06-09 Nimrod Megiddo

Conditional generative models map input variables to complex, high-dimensional distributions, enabling realistic sample generation in a diverse set of domains. A critical challenge with these models is the absence of calibrated uncertainty,…

Machine Learning · Computer Science 2026-02-02 Qidong Yang , Qianyu Julie Zhu , Jonathan Giezendanner , Youssef Marzouk , Stephen Bates , Sherrie Wang

Probabilistic generative models can be used for compression, denoising, inpainting, texture synthesis, semi-supervised learning, unsupervised feature learning, and other tasks. Given this wide range of applications, it is not surprising…

Machine Learning · Statistics 2016-04-26 Lucas Theis , Aäron van den Oord , Matthias Bethge

Creating large-scale datasets for training high-performance generative models is often prohibitively expensive, especially when associated attributes or annotations must be provided. As a result, merging existing datasets has become a…

Machine Learning · Statistics 2026-03-31 Yanfeng Yang , Kenji Fukumizu

Chaotic dynamical systems exhibit strong sensitivity to initial conditions and often contain unresolved multiscale processes, making deterministic forecasting fundamentally limited. Generative models offer an appealing alternative by…

Machine Learning · Computer Science 2026-01-01 Patrick Wyrod , Ashesh Chattopadhyay , Daniele Venturi

Given independent samples generated from the joint distribution $p(\mathbf{x},\mathbf{y},\mathbf{z})$, we study the problem of Conditional Independence (CI-Testing), i.e., whether the joint equals the CI distribution…

Machine Learning · Statistics 2018-06-27 Rajat Sen , Karthikeyan Shanmugam , Himanshu Asnani , Arman Rahimzamani , Sreeram Kannan

By linking conceptual theories with observed data, generative models can support reasoning in complex situations. They have come to play a central role both within and beyond statistics, providing the basis for power analysis in molecular…

Methodology · Statistics 2022-08-15 Kris Sankaran , Susan P. Holmes

We formulate a new class of conditional generative models based on probability flows. Trained with maximum likelihood, it provides efficient inference and sampling from class-conditionals or the joint distribution, and does not require a…

Machine Learning · Computer Science 2019-04-23 Micha Livne , David Fleet

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal inference can help inferring properties of the 'unobserved joint distributions'…

Statistics Theory · Mathematics 2018-05-18 Dominik Janzing

In many scientific areas, data with quantitative and qualitative (QQ) responses are commonly encountered with a large number of predictors. By exploring the association between QQ responses, existing approaches often consider a joint model…

Methodology · Statistics 2026-05-12 Xiaoning Kang , Lulu Kang , Wei Chen , Xinwei Deng

In this paper, we propose a new and unified approach for nonparametric regression and conditional distribution learning. Our approach simultaneously estimates a regression function and a conditional generator using a generative learning…

Machine Learning · Statistics 2023-06-28 Shanshan Song , Tong Wang , Guohao Shen , Yuanyuan Lin , Jian Huang

We propose a deep generative approach to sampling from a conditional distribution based on a unified formulation of conditional distribution and generalized nonparametric regression function using the noise-outsourcing lemma. The proposed…

Statistics Theory · Mathematics 2021-10-22 Xingyu Zhou , Yuling Jiao , Jin Liu , Jian Huang

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

We provide a distribution-free test that can be used to determine whether any two joint distributions $p$ and $q$ are statistically different by inspection of a large enough set of samples. Following recent efforts from Long et al. [1], we…

Machine Learning · Computer Science 2016-07-26 Francesco Solera , Andrea Palazzi

Conditional distribution is a fundamental quantity for describing the relationship between a response and a predictor. We propose a Wasserstein generative approach to learning a conditional distribution. The proposed approach uses a…

Machine Learning · Computer Science 2021-12-21 Shiao Liu , Xingyu Zhou , Yuling Jiao , Jian Huang

Generative diffusions are a powerful class of Monte Carlo samplers that leverage bridging Markov processes to approximate complex, high-dimensional distributions, such as those found in image processing and language models. Despite their…

Machine Learning · Statistics 2025-02-20 Zheng Zhao , Ziwei Luo , Jens Sjölund , Thomas B. Schön

Recent progress in image generation has sparked research into controlling these models through condition signals, with various methods addressing specific challenges in conditional generation. Instead of proposing another specialized…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Xirui Li , Charles Herrmann , Kelvin C. K. Chan , Yinxiao Li , Deqing Sun , Chao Ma , Ming-Hsuan Yang

Generative modeling has recently seen many exciting developments with the advent of deep generative architectures such as Variational Auto-Encoders (VAE) or Generative Adversarial Networks (GAN). The ability to draw synthetic i.i.d.…

Machine Learning · Computer Science 2021-02-19 Johan Leduc , Nicolas Grislain

Mathematical models play an increasingly important role in the interpretation of biological experiments. Studies often present a model that generates the observations, connecting hypothesized process to an observed pattern. Such generative…

Populations and Evolution · Quantitative Biology 2014-06-18 Steven A. Frank

The social graphs synthesized by the generative models are increasingly in demand due to data scarcity and concerns over user privacy. One of the key performance criteria for generating social networks is the fidelity to specified…

Social and Information Networks · Computer Science 2023-11-07 Jui-Yi Tsai , Ya-Wen Teng , Ho Chiok Yew , De-Nian Yang , Lydia Y. Chen
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