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Unsupervised learning of probabilistic models is a central yet challenging problem in machine learning. Specifically, designing models with tractable learning, sampling, inference and evaluation is crucial in solving this task. We extend…

Machine Learning · Computer Science 2017-03-01 Laurent Dinh , Jascha Sohl-Dickstein , Samy Bengio

In unsupervised learning, dimensionality reduction is an important tool for data exploration and visualization. Because these aims are typically open-ended, it can be useful to frame the problem as looking for patterns that are enriched in…

Machine Learning · Statistics 2018-11-16 Kristen Severson , Soumya Ghosh , Kenney Ng

Advances in generative models increase the need for sample quality assessment. To do so, previous methods rely on a pre-trained feature extractor to embed the generated samples and real samples into a common space for comparison. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Jingyi Xu , Hieu Le , Dimitris Samaras

Density level sets can be estimated using plug-in methods, excess mass algorithms or a hybrid of the two previous methodologies. The plug-in algorithms are based on replacing the unknown density by some nonparametric estimator, usually the…

Statistics Theory · Mathematics 2016-11-26 A. Rodríguez-Casal , P. Saavedra-Nieves

We propose methods for density estimation and data synthesis using a novel form of unsupervised random forests. Inspired by generative adversarial networks, we implement a recursive procedure in which trees gradually learn structural…

Machine Learning · Statistics 2023-03-14 David S. Watson , Kristin Blesch , Jan Kapar , Marvin N. Wright

In this paper we introduce a method for nonparametric density estimation on geometric networks. We define fused density estimators as solutions to a total variation regularized maximum-likelihood density estimation problem. We provide…

Methodology · Statistics 2018-12-06 Robert Bassett , James Sharpnack

Given i.i.d samples from some unknown continuous density on hyper-rectangle $[0, 1]^d$, we attempt to learn a piecewise constant function that approximates this underlying density non-parametrically. Our density estimate is defined on a…

Machine Learning · Statistics 2015-09-24 Kun Yang , Hao Su , Wing Hung Wang

While the success of deep neural networks (DNNs) is well-established across a variety of domains, our ability to explain and interpret these methods is limited. Unlike previously proposed local methods which try to explain particular…

Machine Learning · Statistics 2020-04-29 Jonathan Ish-Horowicz , Dana Udwin , Seth Flaxman , Sarah Filippi , Lorin Crawford

Ensuring the trustworthiness and interpretability of machine learning models is critical to their deployment in real-world applications. Feature attribution methods have gained significant attention, which provide local explanations of…

Machine Learning · Computer Science 2023-09-20 Md Abdul Kadir , Gowtham Krishna Addluri , Daniel Sonntag

Estimating the score, i.e., the gradient of log density function, from a set of samples generated by an unknown distribution is a fundamental task in inference and learning of probabilistic models that involve flexible yet intractable…

Machine Learning · Statistics 2020-07-01 Yuhao Zhou , Jiaxin Shi , Jun Zhu

Federated Learning using the Federated Averaging algorithm has shown great advantages for large-scale applications that rely on collaborative learning, especially when the training data is either unbalanced or inaccessible due to privacy…

Machine Learning · Computer Science 2021-07-21 Jonatan Reyes , Lisa Di Jorio , Cecile Low-Kam , Marta Kersten-Oertel

The estimation of a density profile from experimental data points is a challenging problem, usually tackled by plotting a histogram. Prior assumptions on the nature of the density, from its smoothness to the specification of its form, allow…

Methodology · Statistics 2015-03-13 Alberto Bernacchia , Simone Pigolotti

\noindent Hyper-parameter selection is a central practical problem in modern machine learning, governing regularization strength, model capacity, and robustness choices. Cross-validation is often computationally prohibitive at scale, while…

Machine Learning · Statistics 2025-12-24 Hedibert Lopes , Nick Polson , Vadim Sokolov

The purpose of feature extraction on convolutional neural networks is to reuse deep representations learnt for a pre-trained model to solve a new, potentially unrelated problem. However, raw feature extraction from all layers is unfeasible…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Victor Gimenez-Abalos , Armand Vilalta , Dario Garcia-Gasulla , Jesus Labarta , Eduard Ayguadé

Generalized latent factor analysis not only provides a useful latent embedding approach in statistics and machine learning, but also serves as a widely used tool across various scientific fields, such as psychometrics, econometrics, and…

Methodology · Statistics 2025-08-11 Chengyu Cui , Gongjun Xu

Feature generation is an open topic of investigation in graph machine learning. In this paper, we study the use of graph homomorphism density features as a scalable alternative to homomorphism numbers which retain similar theoretical…

Machine Learning · Computer Science 2021-04-12 Paul Beaujean , Florian Sikora , Florian Yger

Breast cancer is the most common cancers and early detection from mammography screening is crucial in improving patient outcomes. Assessing mammographic breast density is clinically important as the denser breasts have higher risk and are…

Image and Video Processing · Electrical Eng. & Systems 2022-06-27 Charles Lu , Ken Chang , Praveer Singh , Jayashree Kalpathy-Cramer

Multidimensional efficiency maps are commonly used in high energy physics experiments to mitigate the limitations in the generation of large samples of simulated events. Binned multidimensional efficiency maps are however strongly limited…

High Energy Physics - Experiment · Physics 2020-05-19 C. Badiali , F. A. Di Bello , G. Frattari , E. Gross , V. Ippolito , M. Kado , J. Shlomi

In this paper, we propose a density estimation algorithm called \textit{Gradient Boosting Histogram Transform} (GBHT), where we adopt the \textit{Negative Log Likelihood} as the loss function to make the boosting procedure available for the…

Machine Learning · Statistics 2021-06-11 Jingyi Cui , Hanyuan Hang , Yisen Wang , Zhouchen Lin

Density ratio estimation is a vital tool in both machine learning and statistical community. However, due to the unbounded nature of density ratio, the estimation procedure can be vulnerable to corrupted data points, which often pushes the…

Machine Learning · Statistics 2017-11-07 Song Liu , Akiko Takeda , Taiji Suzuki , Kenji Fukumizu
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