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Binary density ratio estimation (DRE), the problem of estimating the ratio $p_1/p_2$ given their empirical samples, provides the foundation for many state-of-the-art machine learning algorithms such as contrastive representation learning…

机器学习 · 计算机科学 2021-12-08 Lantao Yu , Yujia Jin , Stefano Ermon

The covariate shift is a challenging problem in supervised learning that results from the discrepancy between the training and test distributions. An effective approach which recently drew a considerable attention in the research community…

机器学习 · 计算机科学 2013-11-27 Yun-Qian Miao , Ahmed K. Farahat , Mohamed S. Kamel

Density ratio estimation serves as an important technique in the unsupervised machine learning toolbox. However, such ratios are difficult to estimate for complex, high-dimensional data, particularly when the densities of interest are…

机器学习 · 计算机科学 2021-07-07 Kristy Choi , Madeline Liao , Stefano Ermon

Divergence estimators based on direct approximation of density-ratios without going through separate approximation of numerator and denominator densities have been successfully applied to machine learning tasks that involve distribution…

机器学习 · 统计学 2011-06-24 Makoto Yamada , Taiji Suzuki , Takafumi Kanamori , Hirotaka Hachiya , Masashi Sugiyama

Devising indicative evaluation metrics for the image generation task remains an open problem. The most widely used metric for measuring the similarity between real and generated images has been the Fr\'echet Inception Distance (FID) score.…

计算机视觉与模式识别 · 计算机科学 2020-06-30 Muhammad Ferjad Naeem , Seong Joon Oh , Youngjung Uh , Yunjey Choi , Jaejun Yoo

The past few years have seen impressive progress in the development of deep generative models capable of producing high-dimensional, complex, and photo-realistic data. However, current methods for evaluating such models remain incomplete:…

机器学习 · 计算机科学 2024-03-14 Marco Jiralerspong , Avishek Joey Bose , Ian Gemp , Chongli Qin , Yoram Bachrach , Gauthier Gidel

The density ratio model (DRM) is a semiparametric model that relates the distributions from multiple samples to a nonparametrically defined reference distribution via exponential tilting, with finite-dimensional parameters governing their…

统计方法学 · 统计学 2025-11-13 James Hugh McVittie , Archer Gong Zhang

Recent advances in generative modeling have led to an increased interest in the study of statistical divergences as means of model comparison. Commonly used evaluation methods, such as the Frechet Inception Distance (FID), correlate well…

机器学习 · 统计学 2018-10-30 Mehdi S. M. Sajjadi , Olivier Bachem , Mario Lucic , Olivier Bousquet , Sylvain Gelly

We employ distribution regression (DR) to estimate the joint distribution of two outcome variables conditional on chosen covariates. While Bivariate Distribution Regression (BDR) is useful in a variety of settings, it is particularly…

计量经济学 · 经济学 2025-08-19 Victor Chernozhukov , Iván Fernández-Val , Jonas Meier , Aico van Vuuren , Francis Vella

A key task in actuarial modelling involves modelling the distributional properties of losses. Classic (distributional) regression approaches like Generalized Linear Models (GLMs; Nelder and Wedderburn, 1972) are commonly used, but…

机器学习 · 统计学 2024-06-04 Benjamin Avanzi , Eric Dong , Patrick J. Laub , Bernard Wong

We present Flow-Guided Density Ratio Learning (FDRL), a simple and scalable approach to generative modeling which builds on the stale (time-independent) approximation of the gradient flow of entropy-regularized f-divergences introduced in…

机器学习 · 计算机科学 2024-06-06 Alvin Heng , Abdul Fatir Ansari , Harold Soh

In many statistical and econometric applications, we gather individual samples from various interconnected populations that undeniably exhibit common latent structures. Utilizing a model that incorporates these latent structures for such…

统计方法学 · 统计学 2023-09-19 Archer Gong Zhang , Jiahua Chen

Given additional distributional information in the form of moment restrictions, kernel density and distribution function estimators with implied generalised empirical likelihood probabilities as weights achieve a reduction in variance due…

统计方法学 · 统计学 2019-10-08 Vitaliy Oryshchenko , Richard J. Smith

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

统计理论 · 数学 2024-11-22 Clément Dombry , Ahmed Zaoui

In online applications with streaming data, awareness of how far the training or test set has shifted away from the original dataset can be crucial to the performance of the model. However, we may not have access to historical samples in…

机器学习 · 统计学 2021-03-10 Yu Chen , Song Liu , Tom Diethe , Peter Flach

Distributional reinforcement learning (DRL) has achieved empirical success in various domains. One core task in DRL is distributional policy evaluation, which involves estimating the return distribution $\eta^\pi$ for a given policy $\pi$.…

机器学习 · 统计学 2025-01-17 Yang Peng , Liangyu Zhang , Zhihua Zhang

A prominent family of methods for learning data distributions relies on density ratio estimation (DRE), where a model is trained to $\textit{classify}$ between data samples and samples from some reference distribution. DRE-based models can…

机器学习 · 计算机科学 2024-11-01 Shahar Yadin , Noam Elata , Tomer Michaeli

Gaussian Graphical Models (GGMs) are widely used to infer conditional dependence structures in high-dimensional data. However, standard precision matrix estimators are highly sensitive to data contamination, such as extreme outliers and…

应用统计 · 统计学 2026-03-25 Canruo Shen , Xintong Ji , Qiong Li , Wenzhi Yang , Xiaoping Shi

There is emerging interest in performing regression between distributions. In contrast to prediction on single instances, these machine learning methods can be useful for population-based studies or on problems that are inherently…

机器学习 · 计算机科学 2019-06-03 Connie Kou , Hwee Kuan Lee , Jorge Sanz , Teck Khim Ng

Generative adversarial networks constitute a powerful approach to generative modeling. While generated samples often are indistinguishable from real data, there is no guarantee that they will follow the true data distribution. For…

机器学习 · 统计学 2024-09-09 Philipp Pilar , Niklas Wahlström
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