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A fast explicit operator splitting (FEOS) method for the molecular beam epitaxy model has been presented in [Cheng, et al., Fast and stable explicit operator splitting methods for phase-field models, J. Comput. Phys., submitted]. The…

Numerical Analysis · Mathematics 2015-11-30 Xiao Li , Zhonghua Qiao , Hui Zhang

In this work, we demonstrate how to reliably estimate epistemic uncertainty while maintaining the flexibility needed to capture complicated aleatoric distributions. To this end, we propose an ensemble of Normalizing Flows (NF), which are…

Machine Learning · Computer Science 2023-10-05 Lucas Berry , David Meger

Irregularly sampled time series with missing values are often observed in multiple real-world applications such as healthcare, climate and astronomy. They pose a significant challenge to standard deep learning models that operate only on…

Machine Learning · Computer Science 2024-10-04 Christian Klötergens , Vijaya Krishna Yalavarthi , Maximilian Stubbemann , Lars Schmidt-Thieme

Many enhanced sampling techniques rely on the identification of a number of collective variables that describe all the slow modes of the system. By constructing a bias potential in this reduced space one is then able to sample efficiently…

Computational Physics · Physics 2019-03-05 Michele Invernizzi , Michele Parrinello

Parametric statistical models that are implicitly defined in terms of a stochastic data generating process are used in a wide range of scientific disciplines because they enable accurate modeling. However, learning the parameters from…

Machine Learning · Statistics 2018-10-24 Traiko Dinev , Michael U. Gutmann

We derive a powerful yet simple method for analyzing the local density of states in gapless one dimensional fermionic systems, including extensions such as momentum dependent interaction parameters and hard-wall boundaries. We study the…

Strongly Correlated Electrons · Physics 2010-01-19 Imke Schneider , Sebastian Eggert

We introduce a new multi-dimensional nonlinear embedding -- Piecewise Flat Embedding (PFE) -- for image segmentation. Based on the theory of sparse signal recovery, piecewise flat embedding with diverse channels attempts to recover a…

Computer Vision and Pattern Recognition · Computer Science 2018-08-13 Chaowei Fang , Zicheng Liao , Yizhou Yu

We demonstrate the use of a new algorithm called the Flat Histogram sampling algorithm for the simulation of lattice polymer systems. Thermodynamics properties, such as average energy or entropy and other physical quantities such as…

Statistical Mechanics · Physics 2009-11-07 Lik Wee Lee , Jian-Sheng Wang

Finite element (FE) analysis has the potential to offset much of the expensive experimental testing currently required to certify aerospace laminates. However, large numbers of degrees of freedom are necessary to model entire aircraft…

Numerical Analysis · Mathematics 2018-05-01 Anne Reinarz , Tim Dodwell , Tim Fletcher , Linus Seelinger , Richard Butler , Robert Scheichl

We use the Delaunay Tessellation Field Estimator (DTFE) to study the one-point density distribution functions of the Millennium (MS) and Millennium-II (MS-II) simulations. The DTFE technique is based directly on the particle positions,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Biswajit Pandey , Simon D. M. White , Volker Springel , Raul Angulo

We propose a new quantum state reconstruction method that combines ideas from compressed sensing, non-convex optimization, and acceleration methods. The algorithm, called Momentum-Inspired Factored Gradient Descent (\texttt{MiFGD}), extends…

Quantum Physics · Physics 2022-03-24 Junhyung Lyle Kim , George Kollias , Amir Kalev , Ken X. Wei , Anastasios Kyrillidis

Sampling-based methods, e.g., Deep Ensembles and Bayesian Neural Nets have become promising approaches to improve the quality of uncertainty estimation and robust generalization. However, they suffer from a large model size and high latency…

Machine Learning · Computer Science 2024-05-29 Ha Manh Bui , Anqi Liu

Non-line-of-Sight (NLOS) imaging systems collect light at a diffuse relay surface and input this measurement into computational algorithms that output a 3D volumetric reconstruction. These algorithms utilize the Fast Fourier Transform (FFT)…

Image and Video Processing · Electrical Eng. & Systems 2025-01-14 Talha Sultan , Alex Bocchieri , Chaoying Gu , Xiaochun Liu , Pavel Polynkin , Andreas Velten

We propose a fast and scalable Polyatomic Frank-Wolfe (P-FW) algorithm for the resolution of high-dimensional LASSO regression problems. The latter improves upon traditional Frank-Wolfe methods by considering generalized greedy steps with…

Signal Processing · Electrical Eng. & Systems 2022-03-03 Adrian Jarret , Julien Fageot , Matthieu Simeoni

Distributed Mean Estimation (DME), in which $n$ clients communicate vectors to a parameter server that estimates their average, is a fundamental building block in communication-efficient federated learning. In this paper, we improve on…

Machine Learning · Computer Science 2023-06-13 Ran Ben Basat , Shay Vargaftik , Amit Portnoy , Gil Einziger , Yaniv Ben-Itzhak , Michael Mitzenmacher

Entropic measures like Shannon entropy (SE), its quantum mechanical analogue von Neumann entropy, and Kullback-Leibler divergence (KL) are key components in many tools used in physics, information theory, machine learning (ML) and quantum…

Machine Learning · Computer Science 2026-04-27 Illia Horenko , Davide Bassetti , Lukáš Pospíšil

We address the problem of efficient phase diagram sampling by adopting active learning techniques from machine learning, and achieve an 80% reduction in the sample size (number of sampled statepoints) needed to establish the phase boundary…

Computational Physics · Physics 2018-03-12 Chengyu Dai , Isaac R. Bruss , Sharon C. Glotzer

Rare events such as nucleation processes are of ubiquitous importance in real systems. The most popular method for nonequilibrium systems, forward flux sampling (FFS), samples rare events by using interfaces to partition the whole…

Methodology · Statistics 2013-11-22 Huijun Jiang , Mingfeng Pu , Zhonghuai Hou

We present a novel method to perform quantum state tomography for many-particle systems which are particularly suitable for estimating states in lattice systems such as of ultra-cold atoms in optical lattices. We show that the need for…

Quantum Physics · Physics 2015-06-04 M. Ohliger , V. Nesme , J. Eisert

Federated Learning (FL) is a promising distributed machine learning approach that enables collaborative training of a global model using multiple edge devices. The data distributed among the edge devices is highly heterogeneous. Thus, FL…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Ji Liu , Beichen Ma , Qiaolin Yu , Ruoming Jin , Jingbo Zhou , Yang Zhou , Huaiyu Dai , Haixun Wang , Dejing Dou , Patrick Valduriez