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Likelihood-free inference provides a framework for performing rigorous Bayesian inference using only forward simulations, properly accounting for all physical and observational effects that can be successfully included in the simulations.…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-24 Justin Alsing , Tom Charnock , Stephen Feeney , Benjamin Wandelt

We introduce a nonparametric spectral density estimator for continuous-time and continuous-space processes measured at fully irregular locations. Our estimator is constructed using a weighted nonuniform Fourier sum whose weights yield a…

Methodology · Statistics 2025-10-07 Christopher J. Geoga , Paul G. Beckman

Density shift plays one of the major roles in the uncertainty of optical lattice clock, thus has attracted lots of theoretical and experimental studies. However, most of the theoretical research considered the single-band and collective…

Quantum Physics · Physics 2022-10-12 Yan-Hua Zhou , Xue-Feng Zhang , Tao Wang

In this work, we propose using the mixture density network (MDN) to estimate cosmological parameters. We test the MDN method by constraining parameters of the $\Lambda$CDM and $w$CDM models using Type Ia supernovae and the power spectra of…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-05 Guo-Jian Wang , Cheng Cheng , Yin-Zhe Ma , Jun-Qing Xia

Probability Density Estimation (PDE) is a multivariate discrimination technique based on sampling signal and background densities defined by event samples from data or Monte-Carlo (MC) simulations in a multi-dimensional phase space. In this…

Data Analysis, Statistics and Probability · Physics 2009-07-22 Dominik Dannheim , Tancredi Carli , Karl-Johan Grahn , Peter Speckmayer , Alexander Voigt

In this article we perform an asymptotic analysis of parallel Bayesian logspline density estimators. Such estimators are useful for the analysis of datasets that are partitioned into subsets and stored in separate databases without the…

Statistics Theory · Mathematics 2023-07-18 Konstandinos Kotsiopoulos , Alexey Miroshnikov , Erin Conlon

Deploying depth estimation networks in the real world requires high-level robustness against various adverse conditions to ensure safe and reliable autonomy. For this purpose, many autonomous vehicles employ multi-modal sensor systems,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Ukcheol Shin , Kyunghyun Lee , Jean Oh

Existing methods for bulk loading disk-based multidimensional points involve multiple applications of external sorting. In this paper, we propose techniques that apply linear scan, and are therefore significantly faster. The resulting FMBI…

Databases · Computer Science 2024-09-17 Moin Hussain Moti , Dimitris Papadias

We introduce the Locally Linear Latent Variable Model (LL-LVM), a probabilistic model for non-linear manifold discovery that describes a joint distribution over observations, their manifold coordinates and locally linear maps conditioned on…

Machine Learning · Statistics 2015-12-02 Mijung Park , Wittawat Jitkrittum , Ahmad Qamar , Zoltan Szabo , Lars Buesing , Maneesh Sahani

Density-based clustering relies on the idea of linking groups to some specific features of the probability distribution underlying the data. The reference to a true, yet unknown, population structure allows to frame the clustering problem…

Methodology · Statistics 2021-02-01 Alessandro Casa , José E. Chacón , Giovanna Menardi

Human thermal comfort measurement plays a critical role in giving feedback signals for building energy efficiency. A non-invasive measuring method based on subtleness magnification and deep learning (NIDL) was designed to achieve a…

Human-Computer Interaction · Computer Science 2018-11-21 Xiaogang Cheng , Bin Yang , Anders Hedman , Thomas Olofsson , Haibo Li , Luc Van Gool

Advanced deep learning (DL) algorithms may predict the patient's risk of developing breast cancer based on the Breast Imaging Reporting and Data System (BI-RADS) and density standards. Recent studies have suggested that the combination of…

Image and Video Processing · Electrical Eng. & Systems 2022-04-19 Huyen T. X. Nguyen , Sam B. Tran , Dung B. Nguyen , Hieu H. Pham , Ha Q. Nguyen

In human-centered intelligent building, real-time measurements of human thermal comfort play critical roles and supply feedback control signals for building heating, ventilation, and air conditioning (HVAC) systems. Due to the challenges of…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Xiaogang Cheng , Bin Yang , Kaige Tan , Erik Isaksson , Liren Li , Anders Hedman , Thomas Olofsson , Haibo Li

There is a rich literature on Bayesian methods for density estimation, which characterize the unknown density as a mixture of kernels. Such methods have advantages in terms of providing uncertainty quantification in estimation, while being…

Methodology · Statistics 2024-04-10 Shounak Chattopadhyay , Antik Chakraborty , David B. Dunson

Bandwidth selection is crucial in the kernel estimation of density level sets. A risk based on the symmetric difference between the estimated and true level sets is usually used to measure their proximity. In this paper we provide an…

Statistics Theory · Mathematics 2020-01-01 Wanli Qiao

Our focus is on constructing a multiscale nonparametric prior for densities. The Bayes density estimation literature is dominated by single scale methods, with the exception of Polya trees, which favor overly-spiky densities even when the…

Methodology · Statistics 2014-10-06 Antonio Canale , David B. Dunson

Estimating expected polynomials of density functions from samples is a basic problem with numerous applications in statistics and information theory. Although kernel density estimators are widely used in practice for such functional…

Information Theory · Computer Science 2017-02-13 Weihao Gao , Sewoong Oh , Pramod Viswanath

The estimation of probability density functions is a fundamental problem in science and engineering. However, common methods such as kernel density estimation (KDE) have been demonstrated to lack robustness, while more complex methods have…

Machine Learning · Computer Science 2025-06-30 Anna Mészáros , Julian F. Schumann , Javier Alonso-Mora , Arkady Zgonnikov , Jens Kober

The aim of survey statistics is to produce estimates with a minimal bias and a corresponding acceptable variance given a specific budget, preferable with a minor response burden for the participants. In recent years, considerable efforts…

Methodology · Statistics 2026-04-02 Martin Hyllienmark , Gustaf Strandell

Most density-based clustering methods largely rely on how well the underlying density is estimated. However, density estimation itself is also a challenging problem, especially the determination of the kernel bandwidth. A large bandwidth…

Machine Learning · Statistics 2015-12-08 Teng Qiu , Yongjie Li