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We present a real-space formulation for coarse-graining Kohn-Sham Density Functional Theory that significantly speeds up the analysis of material defects without appreciable loss of accuracy. The approximation scheme consists of two steps.…

Computational Physics · Physics 2015-06-11 Phanish Suryanarayana , Kaushik Bhattacharya , Michael Ortiz

An efficient and accurate image reconstruction algorithm for ultrasound tomography (UST) is described and demonstrated, which can recover accurate sound speed distribution from acoustic time series measurements made in soft tissue. The…

Numerical Analysis · Mathematics 2021-11-17 Ashkan Javaherian , Ben Cox

Robust parameter estimation is a crucial task in several 3D computer vision pipelines such as Structure from Motion (SfM). State-of-the-art algorithms for robust estimation, however, still suffer from difficulties in converging to…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Huu Le , Christopher Zach

Random Fourier features is one of the most popular techniques for scaling up kernel methods, such as kernel ridge regression. However, despite impressive empirical results, the statistical properties of random Fourier features are still not…

Machine Learning · Computer Science 2018-05-22 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

Soil moisture (SM) estimation from active microwave data remains challenging due to the complex interactions between radar backscatter and surface characteristics. While the water cloud model (WCM) provides a semi-physical approach for…

Machine Learning · Computer Science 2025-05-02 Yi Yu , Patrick Filippi , Thomas F. A. Bishop

Many real-world networks display a natural bipartite structure, while analyzing or visualizing large bipartite networks is one of the most challenges. As a result, it is necessary to reduce the complexity of large bipartite systems and…

Physics and Society · Physics 2013-01-09 Yang Wang , An Zeng , Zengru Di , Ying Fan

Sign-based algorithms (e.g. signSGD) have been proposed as a biased gradient compression technique to alleviate the communication bottleneck in training large neural networks across multiple workers. We show simple convex counter-examples…

Machine Learning · Computer Science 2019-05-30 Sai Praneeth Karimireddy , Quentin Rebjock , Sebastian U. Stich , Martin Jaggi

Learning complex distributions is a fundamental challenge in contemporary applications. Shen and Meinshausen (2024) introduced engression, a generative approach based on scoring rules that maps noise (and covariates, if available) directly…

Machine Learning · Computer Science 2025-08-19 Xinwei Shen , Nicolai Meinshausen , Tong Zhang

We propose a new approach to obtain the nanoscale morphology of rough surfaces from low-temperature adsorption experiments. Our method is based on one of the most realistic models of rough surfaces formulated in terms of random correlated…

Materials Science · Physics 2019-08-06 Timur Aslyamov , Aleksey Khlyupin , Vera Pletneva , Iskander Akhatov

Forward and inverse models are used throughout different engineering fields to predict and understand the behaviour of systems and to find parameters from a set of observations. These models use root-finding and minimisation techniques…

Computational Engineering, Finance, and Science · Computer Science 2023-08-08 Preslav Aleksandrov

We consider the optimization of a neural network previously developed by the authors for the joint inversion of 3D gravitational and magnetic fields in the context of mineral exploration. The distinctive feature of this neural network is…

We present a semi-analytical model to simulate bidirectional reflectance distribution function (BRDF) spectra of a rough slab layer containing impurities. This model has been optimized for fast computation in order to analyze hyperspectral…

In this study, we propose a robust mixture regression procedure based on the skew t distribution to model heavy-tailed and/or skewed errors in a mixture regression setting. Using the scale mixture representation of the skew t distribution,…

Statistics Theory · Mathematics 2017-06-12 Fatma Zehra Doğru , Olcay Arslan

A new feature selection method based on kernelized fuzzy rough sets (KFRS) and the memetic algorithm (MA) is proposed for transient stability assessment of power systems. Considering the possible real-time information provided by wide-area…

Signal Processing · Electrical Eng. & Systems 2018-08-29 Xueping Gu , Yang Li , Jinghua Jia

Scalable kernel methods, including kernel ridge regression, often rely on low-rank matrix approximations using the Nystrom method, which involves selecting landmark points from large data sets. The existing approaches to selecting landmarks…

Machine Learning · Computer Science 2020-09-22 Farhad Pourkamali-Anaraki , Mohammad Amin Hariri-Ardebili , Lydia Morawiec

In Gaussian graphical model selection, noise-corrupted samples present significant challenges. It is known that even minimal amounts of noise can obscure the underlying structure, leading to fundamental identifiability issues. A recent line…

Machine Learning · Statistics 2024-05-09 Abrar Zahin , Rajasekhar Anguluri , Lalitha Sankar , Oliver Kosut , Gautam Dasarathy

We explore a macroscopic, algebraic approach to rate independent hysteresis using semigroup theory. A macroscopic description of metastable states relevant to rate independent hysteresis is introduced using field history. The semigroup…

Disordered Systems and Neural Networks · Physics 2007-07-24 Xiangjun Xing

The Marginally Rigid State is a candidate paradigm for what makes granular material a state of matter distinct from both liquid and solid. Coordination number is identified as a discriminating characteristic, and for rough-surfaced…

Statistical Mechanics · Physics 2007-05-23 R. C. Ball , R. Blumenfeld

Machine learning has recently emerged as a powerful tool for generating new molecular and material structures. The success of state-of-the-art models stems from their ability to incorporate physical symmetries, such as translation,…

Machine Learning · Computer Science 2024-05-16 Bingqing Cheng

A feature-mapping framework for inverse reconstruction of density-based topology optimization results is proposed. Unlike SIMP, whose voxelized outputs are hard to interpret or reuse, the method represents designs with high-level geometric…

Optimization and Control · Mathematics 2026-02-16 Patrick Jung
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