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In this paper, we present a general method that can improve the sample quality of pre-trained likelihood based generative models. Our method constructs an energy function on the latent variable space that yields an energy function on…

Machine Learning · Computer Science 2020-06-16 Zhisheng Xiao , Qing Yan , Yali Amit

This paper investigates the nonparametric estimation of a heteroskedastic variance function on the sphere in a regression framework, assuming the variance belongs to a Besov regularity class. A needlet-based estimator is proposed, combining…

Statistics Theory · Mathematics 2026-01-08 Claudio Durastanti , Radomyra Shevchenko

Unsupervised deep learning has recently demonstrated the promise of producing high-quality samples. While it has tremendous potential to promote the image colorization task, the performance is limited owing to the high-dimension of data…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Jin Li , Wanyun Li , Zichen Xu , Yuhao Wang , Qiegen Liu

Recently, the reference functions for the synthesis and analysis of the autostereoscopic multiview and integral images in three-dimensional displays we introduced. In the current paper, we propose the wavelets to analyze such images. The…

Computer Vision and Pattern Recognition · Computer Science 2016-10-13 Vladimir Saveljev

Rare events are central to the evolution of complex many-body systems, characterized as key transitional configurations on the free energy surface (FES). Conventional methods require adequate sampling of rare event transitions to obtain the…

Computational Physics · Physics 2026-04-14 Shuo-Hui Li , Chen Chen , Yao-Wen Zhang , Ding Pan

We introduce WaveSim, a multi-scale similarity metric for the evaluation of spatial fields in weather and climate applications. WaveSim exploits wavelet transforms to decompose input fields into scale-specific wavelet coefficients. The…

Atmospheric and Oceanic Physics · Physics 2025-12-17 Gabriele Accarino , Viviana Acquaviva , Sara Shamekh , Duncan Watson-Parris , David Lawrence

The determination of efficient collective variables is crucial to the success of many enhanced sampling methods. As inspired by previous discrimination approaches, we first collect a set of data from the different metastable basins. The…

Computational Physics · Physics 2026-03-03 Enrico Trizio , Michele Parrinello

Volumetric image compression has become an urgent task to effectively transmit and store images produced in biological research and clinical practice. At present, the most commonly used volumetric image compression methods are based on…

Image and Video Processing · Electrical Eng. & Systems 2022-10-19 Dongmei Xue , Haichuan Ma , Li Li , Dong Liu , Zhiwei Xiong

In the Projector Augmented Wave (PAW) method, a local potential, basis functions, and projector functions form an All-Electron (AE) basis for valence wave functions in the application of Density Functional Theory (DFT). The construction of…

Materials Science · Physics 2010-08-05 R. J. Snow , A. F. Wright , C. Y. Fong

The main goal of this paper is to design multiscale basis functions within GMsFEM framework such that the convergence of method is independent of the contrast and linearly decreases with respect to mesh size if oversampling size is…

Numerical Analysis · Mathematics 2018-07-04 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung

We introduce highly local basis sets for electronic structure which are very efficient for correlation calculations near the complete basis set limit. Our approach is based on gausslets, recently introduced wavelet-like smooth orthogonal…

Chemical Physics · Physics 2019-02-20 Steven R. White , E. Miles Stoudenmire

Deep image registration has demonstrated exceptional accuracy and fast inference. Recent advances have adopted either multiple cascades or pyramid architectures to estimate dense deformation fields in a coarse-to-fine manner. However, due…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Xinxing Cheng , Xi Jia , Wenqi Lu , Qiufu Li , Linlin Shen , Alexander Krull , Jinming Duan

Wavelets are a useful basis for constructing solutions of the integral and differential equations of scattering theory. Wavelet bases efficiently represent functions with smooth structures on different scales, and the matrix representation…

Nuclear Theory · Physics 2007-05-23 B. M. Kessler , G. L. Payne , W. N. Polyzou

We construct directional wavelet systems that will enable building efficient signal representation schemes with good direction selectivity. In particular, we focus on wavelet bases with dyadic quincunx subsampling. In our previous work, We…

Functional Analysis · Mathematics 2016-10-05 Rujie Yin , Ingrid Daubechies

In this paper we consider aggregated functional data composed by a linear combination of component curves and the problem of estimating these component curves. We propose the application of a bayesian wavelet shrinkage rule based on a…

Methodology · Statistics 2022-06-01 Alex Rodrigo dos Santos Sousa

We present a computational approach which is tailored for reducing the complexity of the description of extended systems at the density functional theory level. We define a recipe for generating a set of localized basis functions which are…

Materials Science · Physics 2019-04-16 Laura E. Ratcliff , Luigi Genovese

Prior to adjustment, accounting conditions between national accounts data sets are frequently violated. Benchmarking is the procedure used by economic agencies to make such data sets consistent. It typically involves adjusting a high…

Applications · Statistics 2014-10-28 Homesh Sayal , John A. D. Aston , Duncan Elliott , Hernando Ombao

We study the problem of optimal sampling in an edge-based video analytics system (VAS), where sensor samples collected at a terminal device are offloaded to a back-end server that processes them and generates feedback for a user. Sampling…

Information Theory · Computer Science 2023-02-22 Vishnu Narayanan Moothedath

The latent variables learned by VAEs have seen considerable interest as an unsupervised way of extracting features, which can then be used for downstream tasks. There is a growing interest in the question of whether features learned on one…

Machine Learning · Computer Science 2020-05-13 Saeid Asgari Taghanaki , Mohammad Havaei , Alex Lamb , Aditya Sanghi , Ara Danielyan , Tonya Custis

The development of enhanced sampling methods has greatly extended the scope of atomistic simulations, allowing long-time phenomena to be studied with accessible computational resources. Many such methods rely on the identification of an…

Computational Physics · Physics 2022-06-08 Luigi Bonati , GiovanniMaria Piccini , Michele Parrinello
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