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We develop a folding approach to study two-dimensional symmetry-enriched topological (SET) phases with the mirror reflection symmetry. Our folding approach significantly transforms the mirror SETs, such that their properties can be…

Strongly Correlated Electrons · Physics 2019-02-19 Yang Qi , Chao-Ming Jian , Chenjie Wang

This work outlines a diffuse interface method for the study of fracture and fragmentation in ductile metals at high strain-rates in Eulerian finite volume simulations. The work is based on an existing diffuse interface method capable of…

Computational Physics · Physics 2022-10-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

Machine learning models based on convolutional neural networks have been used for predicting space groups of crystal structures from their atomic pair distribution function (PDF). However, the PDFs used to train the model are calculated…

Materials Science · Physics 2022-06-20 Ling Lan , Chia-Hao Liu , Qiang Du , Simon J. L. Billinge

Effectively parsing the facade is essential to 3D building reconstruction, which is an important computer vision problem with a large amount of applications in high precision map for navigation, computer aided design, and city generation…

Computer Vision and Pattern Recognition · Computer Science 2021-06-03 Hantang Liu , Wentong Li , Jianke Zhu

In high-dimensional time series, the component processes are often assembled into a matrix to display their interrelationship. We focus on detecting mean shifts with unknown change point locations in these matrix time series. Series that…

Methodology · Statistics 2024-07-16 Xinyu Zhang , Kung-Sik Chan

We introduce DiffFit, a differentiable algorithm for fitting protein atomistic structures into an experimental reconstructed Cryo-Electron Microscopy (cryo-EM) volume map. In structural biology, this process is necessary to…

Quantitative Methods · Quantitative Biology 2025-01-09 Deng Luo , Zainab Alsuwaykit , Dawar Khan , Ondřej Strnad , Tobias Isenberg , Ivan Viola

A procedure based on a Mixture Density Model for correcting experimental data for distortions due to finite resolution and limited detector acceptance is presented. Addressing the case that the solution is known to be non-negative, in the…

Data Analysis, Statistics and Probability · Physics 2015-03-09 Nikolai Gagunashvili

In this paper we propose an approach for computing multiple high-quality near-isometric dense correspondences between a pair of 3D shapes. Our method is fully automatic and does not rely on user-provided landmarks or descriptors. This…

Graphics · Computer Science 2020-09-11 Jing Ren , Simone Melzi , Maks Ovsjanikov , Peter Wonka

Deep learning-based diagnostic systems have demonstrated potential in skin disease diagnosis. However, their performance can easily degrade on test domains due to distribution shifts caused by input-level corruptions, such as imaging…

Image and Video Processing · Electrical Eng. & Systems 2024-05-21 Ming Hu , Siyuan Yan , Peng Xia , Feilong Tang , Wenxue Li , Peibo Duan , Lin Zhang , Zongyuan Ge

We use the conformal bootstrap program to derive necessary conditions for emergent symmetry enhancement from discrete symmetry (e.g. $\mathbb{Z}_n$) to continuous symmetry (e.g. $U(1)$) under the renormalization group flow. In three…

Strongly Correlated Electrons · Physics 2016-09-28 Yu Nakayama , Tomoki Ohtsuki

Four-dimensional scanning transmission electron microscopy (4D-STEM) is one of the most rapidly growing modes of electron microscopy imaging. The advent of fast pixelated cameras and the associated data infrastructure have greatly…

Applications · Statistics 2019-08-27 Xin Li , Ondrej Dyck , Stephen Jesse , Andrew R. Lupini , Sergei V. Kalinin , Mark P. Oxley

Dipolar couplings are an important source of structure as they provide site specific dipolar splittings for aligned samples and hence are extensively used for the study of membrane proteins in lipid bilayers, liquid crystals and single…

Biological Physics · Physics 2010-10-05 S. Jayanthi , K. V. Ramanathan

The study of spatial symmetries was accomplished during the last century, and had greatly improved our understanding of the properties of solids. Nowadays, the symmetry data of any crystal can be readily extracted from standard…

Mesoscale and Nanoscale Physics · Physics 2018-09-06 Zhida Song , Tiantian Zhang , Zhong Fang , Chen Fang

Deep learning-based online mapping has emerged as a cornerstone of autonomous driving, yet these models frequently fail to generalize beyond familiar environments. We propose a framework to identify and measure the underlying failure modes…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Michael Hubbertz , Qi Han , Tobias Meisen

Machine learning is a powerful approach for fitting microstructural models to diffusion MRI data. Early machine learning microstructure imaging implementations trained regressors to estimate model parameters in a supervised way, using…

Image and Video Processing · Electrical Eng. & Systems 2022-10-06 Jason P. Lim , Stefano B. Blumberg , Neil Narayan , Sean C. Epstein , Daniel C. Alexander , Marco Palombo , Paddy J. Slator

We present a novel continuous optimization method to the discrete problem of quadtree optimization. The optimization aims at achieving a quadtree structure with the highest mechanical stiffness, where the edges in the quadtree are…

Numerical Analysis · Mathematics 2018-05-23 Jun Wu

This work is an attempt to transfer to biology the methods developed in physics for formulating and solving the kinetic equations in which the kernel of the integral operator in spatial coordinates is slowly decreasing with increasing…

Quantitative Methods · Quantitative Biology 2020-07-14 A. B. Kukushkin , A. A. Kulichenko , A. V. Sokolov

We present ShapeShift, a method for arranging rigid objects into configurations that visually convey semantic concepts specified by natural language. While pretrained diffusion models provide powerful semantic guidance, such as Score…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Vihaan Misra , Peter Schaldenbrand , Jean Oh

The traditional display of elements in the periodic table is convenient for the study of chemistry and physics. However, the atomic number alone is insufficient for training statistical machine learning models to describe and extract…

Materials Science · Physics 2023-08-25 Anthony Onwuli , Ashish V. Hegde , Kevin Nguyen , Keith T. Butler , Aron Walsh

Diffusion maps is a manifold learning algorithm widely used for dimensionality reduction. Using a sample from a distribution, it approximates the eigenvalues and eigenfunctions of associated Laplace-Beltrami operators. Theoretical bounds on…

Statistics Theory · Mathematics 2021-04-09 Caroline L. Wormell , Sebastian Reich