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We propose a method to optimize the representation and distinguishability of samples from two probability distributions, by maximizing the estimated power of a statistical test based on the maximum mean discrepancy (MMD). This optimized MMD…

Generative models are invaluable in many fields of science because of their ability to capture high-dimensional and complicated distributions, such as photo-realistic images, protein structures, and connectomes. How do we evaluate the…

In many fields of science, generalized likelihood ratio tests are established tools for statistical inference. At the same time, it has become increasingly common that a simulator (or generative model) is used to describe complex processes…

应用统计 · 统计学 2016-03-21 Kyle Cranmer , Juan Pavez , Gilles Louppe

Humans rely on effective representations to learn from few examples and abstract useful information from sensory data. Inducing such representations in machine learning models has been shown to improve their performance on various…

We introduce and motivate generative modeling as a central task for machine learning and provide a critical view of the algorithms which have been proposed for solving this task. We overview how generative modeling can be defined…

机器学习 · 计算机科学 2021-03-02 Alex Lamb

The rise of generative models for scientific research calls for the development of new methods to evaluate their fidelity. A natural framework for addressing this problem is two-sample hypothesis testing, namely the task of determining…

机器学习 · 统计学 2025-08-05 Samuele Grossi , Marco Letizia , Riccardo Torre

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…

种群与进化 · 定量生物学 2014-06-18 Steven A. Frank

The machine learning community has mainly relied on real data to benchmark algorithms as it provides compelling evidence of model applicability. Evaluation on synthetic datasets can be a powerful tool to provide a better understanding of a…

机器学习 · 计算机科学 2022-11-01 Florence Regol , Anja Kroon , Mark Coates

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

In this work, we propose to study the global geometrical properties of generative models. We introduce a new Riemannian metric to assess the similarity between any two data points. Importantly, our metric is agnostic to the parametrization…

机器学习 · 计算机科学 2024-07-17 Beomsu Kim , Michael Puthawala , Jong Chul Ye , Emanuele Sansone

The effort to understand network systems in increasing detail has resulted in a diversity of methods designed to extract their large-scale structure from data. Unfortunately, many of these methods yield diverging descriptions of the same…

数据分析、统计与概率 · 物理学 2015-03-27 Tiago P. Peixoto

Generative models are known to be difficult to assess. Recent works, especially on generative adversarial networks (GANs), produce good visual samples of varied categories of images. However, the validation of their quality is still…

机器学习 · 计算机科学 2019-09-25 Timothée Lesort , Andrei Stoain , Jean-François Goudou , David Filliat

Learning a parametric model from a given dataset indeed enables to capture intrinsic dependencies between random variables via a parametric conditional probability distribution and in turn predict the value of a label variable given…

机器学习 · 统计学 2024-06-14 Elouan Argouarc'h , François Desbouvries , Eric Barat , Eiji Kawasaki

Due to the increasing volume, volatility, and diversity of data in virtually all areas of our lives, the ability to detect duplicates in potentially linked data sources is more important than ever before. However, while research is already…

数据库 · 计算机科学 2024-01-01 Fabian Panse , Wolfram Wingerath , Benjamin Wollmer

Generalized linear mixed models (GLMMs) are used to model responses from exponential families with a combination of fixed and random effects. For variance components in GLMMs, we propose an approximate restricted likelihood ratio test that…

统计方法学 · 统计学 2019-06-11 Stephanie T. Chen , Luo Xiao , Ana-Maria Staicu

We introduce a probabilistic framework for quantifying the semantic similarity between two groups of embeddings. We formulate the task of semantic similarity as a model comparison task in which we contrast a generative model which jointly…

机器学习 · 计算机科学 2019-05-02 Francisco Vargas , Kamen Brestnichki , Nils Hammerla

Modern generative models are roughly divided into two main categories: (1) models that can produce high-quality random samples, but cannot estimate the exact density of new data points and (2) those that provide exact density estimation, at…

机器学习 · 计算机科学 2022-06-24 Omri Ben-Dov , Pravir Singh Gupta , Victoria Fernandez Abrevaya , Michael J. Black , Partha Ghosh

A learned generative model often produces biased statistics relative to the underlying data distribution. A standard technique to correct this bias is importance sampling, where samples from the model are weighted by the likelihood ratio…

Generative models have been successfully used for generating realistic signals. Because the likelihood function is typically intractable in most of these models, the common practice is to use "implicit" models that avoid likelihood…

机器学习 · 计算机科学 2024-05-07 Itai Alon , Amir Globerson , Ami Wiesel

We introduce two novel non-parametric statistical hypothesis tests. The first test, called the relative test of dependency, enables us to determine whether one source variable is significantly more dependent on a first target variable or a…

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