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The constraint of neighborhood consistency or local consistency is widely used for robust image matching. In this paper, we focus on learning neighborhood topology consistent descriptors (TCDesc), while former works of learning descriptors,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Honghu Pan , Fanyang Meng , Nana Fan , Zhenyu He

To improve our understanding of connected systems, different tools derived from statistics, signal processing, information theory and statistical physics have been developed in the last decade. Here, we will focus on the graph comparison…

Physics and Society · Physics 2018-04-23 Johann H. Martínez , Mario Chavez

In the theoretical modelling of a physical system a crucial step consists in the identification of those degrees of freedom that enable a synthetic, yet informative representation of it. While in some cases this selection can be carried out…

Statistical Mechanics · Physics 2020-06-30 Marco Giulini , Roberto Menichetti , M. Scott Shell , Raffaello Potestio

Accurate structural analysis is essential to gain physical knowledge and understanding of atomic-scale processes in materials from atomistic simulations. However, traditional analysis methods often reach their limits when applied to…

A central concern of molecular dynamics simulations are the potential energy surfaces that govern atomic interactions. These hypersurfaces define the potential energy of the system, and have generally been calculated using either predefined…

Computational Physics · Physics 2019-07-05 Emir Kocer , Jeremy K. Mason , Hakan Erturk

Efficient optimization of molecules with targeted properties remains a significant challenge due to the vast size and discrete nature of chemical compound space. Conventional machine-learning-based optimization approaches typically require…

Chemical Physics · Physics 2026-03-04 Yun-Wen Mao , Roman V. Krems

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are often practically useful, but lead to limited conceptual insight about optimal…

Machine Learning · Statistics 2016-09-13 Yuval Harel , Ron Meir , Manfred Opper

The Gromov-Hausdorff (GH) distance is traditionally used for measuring distances between metric spaces. It is defined as the minimal distortion of embedding one surface into the other, while the optimal correspondence can be described as…

Computational Geometry · Computer Science 2016-11-23 Gil Shamai , Ron Kimmel

This paper proposes a geodesic-distance-based feature that encodes global information for improved video segmentation algorithms. The feature is a joint histogram of intensity and geodesic distances, where the geodesic distances are…

Computer Vision and Pattern Recognition · Computer Science 2017-04-04 Hieu Le , Vu Nguyen , Chen-Ping Yu , Dimitris Samaras

We describe a novel approach to image based localisation in urban environments using semantic matching between images and a 2-D map. It contrasts with the vast majority of existing approaches which use image to image database matching. We…

Computer Vision and Pattern Recognition · Computer Science 2018-03-05 Pilailuck Panphattarasap , Andrew Calway

Local atomic environment descriptors (LAEDs) are used in the materials science and chemistry communities, for example, for the development of machine learning interatomic potentials. Despite the fact that LAEDs have been extensively studied…

Materials Science · Physics 2023-10-10 Vahe Gharakhanyan , Max Aalto , Aminah Alsoulah , Nongnuch Artrith , Alexander Urban

In problems of parameter estimation from sensor data, the Fisher Information provides a measure of the performance of the sensor; effectively, in an infinitesimal sense, how much information about the parameters can be obtained from the…

Information Theory · Computer Science 2018-11-06 Simon Williams , Arthur George Suvorov , Wang Zeng Fu , Bill Moran

Atomic structures and adatom geometries of surfaces encode information about the thermodynamics and kinetics of the processes that lead to their formation, and which can be captured by a generative physical model. Here we develop a workflow…

Learning is a fundamental characteristic of living systems, enabling them to comprehend their environments and make informed decisions. These decision-making processes are inherently influenced by available information about their…

Disordered Systems and Neural Networks · Physics 2025-04-21 Arnab Barua , Haralampos Hatzikirou , Sumiyoshi Abe

The co-optimization of geometry and physical parameters remains challenging in transient multiphysics systems involving moving boundaries, nonlinear material response, phase transitions, and competing objectives. Existing methods often…

Computational Engineering, Finance, and Science · Computer Science 2026-05-05 Navid Zobeiry

High precision measurements are essential to solve major scientific and technological challenges, from gravitational wave detection to healthcare diagnostics. Quantum sensing delivers greater precision, but an in-depth optimisation of…

Parameter identification is crucial in virtual engineering processes, yet determining appropriate system excitations for identifying specific parameters remains challenging. In practice, extensive experimental programs often fail to…

Optimization and Control · Mathematics 2026-05-07 Kevin Schmidt , Nicola Henkelmann , Christoph Mark , Johannes von Keler

A main goal of data-driven materials research is to find optimal low-dimensional descriptors, allowing us to predict a physical property, and to interpret them in a human-understandable way. In this work, we advance methods to identify…

Materials Science · Physics 2022-12-14 Benedikt Hoock , Santiago Rigamonti , Claudia Draxl

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

Many-body descriptors are widely used to represent atomic environments in the construction of machine learned interatomic potentials and more broadly for fitting, classification and embedding tasks on atomic structures. It was generally…