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We investigate statistical properties of a likelihood approach to nonparametric estimation of a singular distribution using deep generative models. More specifically, a deep generative model is used to model high-dimensional data that are…

机器学习 · 统计学 2023-03-29 Minwoo Chae , Dongha Kim , Yongdai Kim , Lizhen Lin

Some data analysis problems require the computation of (regularised) inverse traces, i.e. quantities of the form $\Tr (q \bI + \bL)^{-1}$. For large matrices, direct methods are unfeasible and one must resort to approximations, for example…

Machine learning enables unbinned, highly-differential cross section measurements. A recent idea uses generative models to morph a starting simulation into the unfolded data. We show how to extend two morphing techniques, Schr\"odinger…

The contractive auto-encoder learns a representation of the input data that captures the local manifold structure around each data point, through the leading singular vectors of the Jacobian of the transformation from input to…

机器学习 · 计算机科学 2012-07-03 Salah Rifai , Yoshua Bengio , Yann Dauphin , Pascal Vincent

We present a generative approach to price options and extract risk-neutral densities from the market. Specifically, we model the underlying log-returns on the time-to-maturity continuum as a generative model from standard normal. Neural…

数理金融 · 定量金融 2026-05-21 Zhonghao Xian , Xing Yan , Cheuk Hang Leung , Qi Wu

Sampling equilibrium distributions is fundamental to statistical mechanics. While flow matching has emerged as scalable state-of-the-art paradigm for generative modeling, its potential for equilibrium sampling in condensed-phase systems…

计算物理 · 物理学 2026-03-31 Emil Hoffmann , Maximilian Schebek , Leon Klein , Frank Noé , Jutta Rogal

Estimating density ratios between pairs of intractable data distributions is a core problem in probabilistic modeling, enabling principled comparisons of sample likelihoods under different data-generating processes across conditions and…

机器学习 · 计算机科学 2026-03-02 Egor Antipov , Alessandro Palma , Lorenzo Consoli , Stephan Günnemann , Andrea Dittadi , Fabian J. Theis

We introduce a new generative model where samples are produced via Langevin dynamics using gradients of the data distribution estimated with score matching. Because gradients can be ill-defined and hard to estimate when the data resides on…

机器学习 · 计算机科学 2020-10-13 Yang Song , Stefano Ermon

Modern Generative Adversarial Networks are capable of creating artificial, photorealistic images from latent vectors living in a low-dimensional learned latent space. It has been shown that a wide range of images can be projected into this…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Jonas Wulff , Antonio Torralba

Generative modeling can be formulated as learning a mapping f such that its pushforward distribution matches the data distribution. The pushforward behavior can be carried out iteratively at inference time, for example in diffusion and…

机器学习 · 计算机科学 2026-02-09 Mingyang Deng , He Li , Tianhong Li , Yilun Du , Kaiming He

Learning a categorical distribution comes with its own set of challenges. A successful approach taken by state-of-the-art works is to cast the problem in a continuous domain to take advantage of the impressive performance of the generative…

机器学习 · 计算机科学 2023-03-09 Florence Regol , Mark Coates

While learned image compression (LIC) focuses on efficient data transmission, generative image compression (GIC) extends this framework by integrating generative modeling to produce photo-realistic reconstructed images. In this paper, we…

图像与视频处理 · 电气工程与系统科学 2025-05-28 Minghao Han , Weiyi You , Jinhua Zhang , Leheng Zhang , Ce Zhu , Shuhang Gu

Many recent invertible neural architectures are based on coupling block designs where variables are divided in two subsets which serve as inputs of an easily invertible (usually affine) triangular transformation. While such a transformation…

机器学习 · 统计学 2021-05-26 Jakob Kruse , Gianluca Detommaso , Ullrich Köthe , Robert Scheichl

Herding is a technique to sequentially generate deterministic samples from a probability distribution. In this work, we propose a continuous herded Gibbs sampler that combines kernel herding on continuous densities with the Gibbs sampling…

机器学习 · 统计学 2022-01-14 Laura M. Wolf , Marcus Baum

We introduce a novel generative model for the representation of joint probability distributions of a possibly large number of discrete random variables. The approach uses measure transport by randomized assignment flows on the statistical…

机器学习 · 统计学 2025-01-15 Bastian Boll , Daniel Gonzalez-Alvarado , Stefania Petra , Christoph Schnörr

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

We propose a new generative model of projected cosmic mass density maps inferred from weak gravitational lensing observations of distant galaxies (weak lensing mass maps). We construct the model based on a neural style transfer so that it…

宇宙学与河外天体物理 · 物理学 2024-05-24 Masato Shirasaki , Shiro Ikeda

Learning generative probabilistic models is a core problem in machine learning, which presents significant challenges due to the curse of dimensionality. This paper proposes a joint dimensionality reduction and non-parametric density…

机器学习 · 统计学 2022-06-22 Magda Amiridi , Nikos Kargas , Nicholas D. Sidiropoulos

Many measurements or observations in computer vision and machine learning manifest as non-Euclidean data. While recent proposals (like spherical CNN) have extended a number of deep neural network architectures to manifold-valued data, and…

计算机视觉与模式识别 · 计算机科学 2021-03-02 Xingjian Zhen , Rudrasis Chakraborty , Liu Yang , Vikas Singh

Generative models are typically trained on grid-like data such as images. As a result, the size of these models usually scales directly with the underlying grid resolution. In this paper, we abandon discretized grids and instead…

机器学习 · 计算机科学 2022-02-18 Emilien Dupont , Yee Whye Teh , Arnaud Doucet