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We consider testing whether a set of Gaussian variables, selected from the data, is independent of the remaining variables. We assume that this set is selected via a very simple approach that is commonly used across scientific disciplines:…

Methodology · Statistics 2022-11-04 Arkajyoti Saha , Daniela Witten , Jacob Bien

Score-based statistical models play an important role in modern machine learning, statistics, and signal processing. For hypothesis testing, a score-based hypothesis test is proposed in \cite{wu2022score}. We analyze the performance of this…

Signal Processing · Electrical Eng. & Systems 2024-02-06 Enmao Diao , Taposh Banerjee , Vahid Tarokh

Learning causal structure is useful in many areas of artificial intelligence, including planning, robotics, and explanation. Constraint-based structure learning algorithms such as PC use conditional independence (CI) tests to infer causal…

Machine Learning · Computer Science 2022-11-15 Erica Cai , Andrew McGregor , David Jensen

We introduce a new model for building conditional generative models in a semi-supervised setting to conditionally generate data given attributes by adapting the GAN framework. The proposed semi-supervised GAN (SS-GAN) model uses a pair of…

Machine Learning · Statistics 2017-08-22 Kumar Sricharan , Raja Bala , Matthew Shreve , Hui Ding , Kumar Saketh , Jin Sun

In the field of inverse estimation for systems modeled by partial differential equations (PDEs), challenges arise when estimating high- (or even infinite-) dimensional parameters. Typically, the ill-posed nature of such problems…

Computational Engineering, Finance, and Science · Computer Science 2024-08-30 Yankun Hong , Harshit Bansal , Karen Veroy

A central goal of probabilistic programming languages (PPLs) is to separate modelling from inference. However, this goal is hard to achieve in practice. Users are often forced to re-write their models in order to improve efficiency of…

Programming Languages · Computer Science 2022-02-21 Maria I. Gorinova , Andrew D. Gordon , Charles Sutton , Matthijs Vákár

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

We explore fairness from a statistical perspective by selectively utilizing either conditional distance covariance or distance covariance statistics as measures to assess the independence between predictions and sensitive attributes. We…

Machine Learning · Computer Science 2025-12-22 Ruifan Huang , Haixia Liu

We propose a sequential, anytime-valid method to test the conditional independence of a response $Y$ and a predictor $X$ given a random vector $Z$. The proposed test is based on e-statistics and test martingales, which generalize likelihood…

Methodology · Statistics 2023-02-22 Peter Grünwald , Alexander Henzi , Tyron Lardy

The main challenge in continual learning for generative models is to effectively learn new target modes with limited samples while preserving previously learned ones. To this end, we introduce a new continual learning approach for…

Machine Learning · Computer Science 2023-09-26 Cat P. Le , Juncheng Dong , Ahmed Aloui , Vahid Tarokh

A valuable step in the modeling of multiscale dynamical systems in fields such as computational chemistry, biology, materials science and more, is the representative sampling of the phase space over long timescales of interest; this task is…

Machine Learning · Computer Science 2023-12-29 Ellis R. Crabtree , Juan M. Bello-Rivas , Ioannis G. Kevrekidis

Despite recent advances, goal-directed generation of structured discrete data remains challenging. For problems such as program synthesis (generating source code) and materials design (generating molecules), finding examples which satisfy…

Machine Learning · Computer Science 2020-10-26 Amina Mollaysa , Brooks Paige , Alexandros Kalousis

Score-based generative models (SGMs) are a recent breakthrough in generating fake images. SGMs are known to surpass other generative models, e.g., generative adversarial networks (GANs) and variational autoencoders (VAEs). Being inspired by…

Machine Learning · Computer Science 2022-06-20 Jayoung Kim , Chaejeong Lee , Yehjin Shin , Sewon Park , Minjung Kim , Noseong Park , Jihoon Cho

This paper introduces an innovative method for conducting conditional independence testing in high-dimensional data, facilitating the automated discovery of significant associations within distinct subgroups of a population, all while…

Methodology · Statistics 2023-09-19 Matteo Sesia , Tianshu Sun

Typical engineering design tasks require the effort to modify designs iteratively until they meet certain constraints, i.e., performance or attribute requirements. Past work has proposed ways to solve the inverse design problem, where…

Machine Learning · Computer Science 2021-03-11 Amin Heyrani Nobari , Wei Chen , Faez Ahmed

We propose a score-based generative algorithm for sampling from power-scaled priors and likelihoods within the Bayesian inference framework. Our algorithm enables flexible control over prior-likelihood influence without requiring retraining…

Machine Learning · Computer Science 2026-04-03 Huseyin Tuna Erdinc , Yunlin Zeng , Abhinav Prakash Gahlot , Felix J. Herrmann

The effectiveness of biosignal generation and data augmentation with biosignal generative models based on generative adversarial networks (GANs), which are a type of deep learning technique, was demonstrated in our previous paper. GAN-based…

Machine Learning · Computer Science 2023-03-03 Shota Harada , Hideaki Hayashi , Seiichi Uchida

The deployment of generative AI (GenAI) models raises significant fairness concerns, addressed in this paper through novel characterization and enforcement techniques specific to GenAI. Unlike standard AI performing specific tasks, GenAI's…

Machine Learning · Computer Science 2025-08-12 Chih-Hong Cheng , Changshun Wu , Xingyu Zhao , Saddek Bensalem , Harald Ruess

Generative Adversarial Networks (GANs) produce systematically better quality samples when class label information is provided., i.e. in the conditional GAN setup. This is still observed for the recently proposed Wasserstein GAN formulation…

Machine Learning · Statistics 2018-05-18 Guillermo L. Grinblat , Lucas C. Uzal , Pablo M. Granitto

This work presents the first statistical performance guarantees for group-invariant generative models. Many real data, such as images and molecules, are invariant to certain group symmetries, which can be taken advantage of to learn more…

Machine Learning · Statistics 2025-03-12 Ziyu Chen , Markos A. Katsoulakis , Luc Rey-Bellet , Wei Zhu