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Atomic environment fingerprints are widely used in computational materials science, from machine learning potentials to the quantification of similarities between atomic configurations. Many approaches to the construction of such…

Measuring similarities/dissimilarities between atomic structures is important for the exploration of potential energy landscapes. However, the cell vectors together with the coordinates of the atoms, which are generally used to describe…

Fingerprints are the most widely deployed form of biometric identification. No two individuals share the same fingerprint because they have unique biometric identifiers. This paper presents an efficient fingerprint verification algorithm…

Computer Vision and Pattern Recognition · Computer Science 2018-12-11 Rahul Kumar Jaiswal , Gaurav Saxena

Molecular fingerprints, i.e. feature vectors describing atomistic neighborhood configurations, is an important abstraction and a key ingredient for data-driven modeling of potential energy surface and interatomic force. In this paper, we…

Computational Engineering, Finance, and Science · Computer Science 2018-02-14 Yu-Hang Tang , Dongkun Zhang , George Em Karniadakis

In order to characterize molecular structures we introduce configurational fingerprint vectors which are counterparts of quantities used experimentally to identify structures. The Euclidean distance between the configurational fingerprint…

We present a permutation-invariant distance between atomic configurations, defined through a functional representation of atomic positions. This distance enables to directly compare different atomic environments with an arbitrary number of…

Materials Science · Physics 2015-09-30 Gregoire Ferre , Jean-Bernard Maillet , Gabriel Stoltz

Fingerprinting enables two parties to infer whether the messages they hold are the same or different when the cost of communication is high: each message is associated with a smaller fingerprint and comparisons between messages are made in…

Quantum Physics · Physics 2007-05-23 A. J. Scott , Jonathan Walgate , Barry C. Sanders

Available algorithms for the initialization of volume fractions typically utilize exact functions to model fluid interfaces, or they rely on computationally costly intersections between volume meshes. Here, a new algorithm is proposed that…

Computational Physics · Physics 2024-02-07 Tobias Tolle , Dirk Gründing , Dieter Bothe , Tomislav Marić

This paper considers the problem of finding maximum volume (axis-aligned) inscribed boxes in a compact convex set, defined by a finite number of convex inequalities, and presents optimization and geometric approaches for solving them.…

Computational Geometry · Computer Science 2022-08-10 Mehdi Behroozi

Structural optimization has been a crucial component in computational materials research, and structure predictions have relied heavily on this technique in particular. In this study, we introduce a novel method that enhances the efficiency…

Materials Science · Physics 2024-01-26 Shuo Tao , Xuecheng Shao , Li Zhu

Although shape correspondence is a central problem in geometry processing, most methods for this task apply only to two-dimensional surfaces. The neglected task of volumetric correspondence--a natural extension relevant to shapes extracted…

Graphics · Computer Science 2022-11-29 S. Mazdak Abulnaga , Oded Stein , Polina Golland , Justin Solomon

We experimentally study the fundamental problem of computing the volume of a convex polytope given as an intersection of linear inequalities. We implement and evaluate practical randomized algorithms for accurately approximating the…

Computational Geometry · Computer Science 2021-04-26 Ioannis Z. Emiris , Vissarion Fisikopoulos

We investigate the problem of computing a minimal-volume container for the non-overlapping packing of a given set of three-dimensional convex objects. Already the simplest versions of the problem are NP-hard so that we cannot expect to find…

Computational Geometry · Computer Science 2016-01-19 Helmut Alt , Nadja Scharf

In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimension of the model to be estimated. However…

Optimization and Control · Mathematics 2012-10-30 Venkat Chandrasekaran , Benjamin Recht , Pablo A. Parrilo , Alan S. Willsky

Machine learning of atomic-scale properties is revolutionizing molecular modelling, making it possible to evaluate inter-atomic potentials with first-principles accuracy, at a fraction of the costs. The accuracy, speed and reliability of…

Computational Physics · Physics 2018-10-16 Giulio Imbalzano , Andrea Anelli , Daniele Giofr é , Sinja Klees , J örg Behler , Michele Ceriotti

A novel minutia-based fingerprint matching algorithm is proposed that employs iterative global alignment on two minutia sets. The matcher considers all possible minutia pairings and iteratively aligns the two sets until the number of…

Computer Vision and Pattern Recognition · Computer Science 2017-02-08 A. Pasha Hosseinbor , Renat Zhdanov , Alexander Ushveridze

The problem of clustering fingerprint vectors is an interesting problem in Computational Biology that has been proposed in (Figureroa et al. 2004). In this paper we show some improvements in closing the gaps between the known lower bounds…

Data Structures and Algorithms · Computer Science 2011-08-02 Paola Bonizzoni , Gianluca Della Vedova , Riccardo Dondi

In order to utilize identification to the best extent, we need robust and fast algorithms and systems to process the data. Having palmprint as a reliable and unique characteristic of every person, we extract and use its features based on…

Computer Vision and Pattern Recognition · Computer Science 2015-02-13 Shervin Minaee , AmirAli Abdolrashidi

This work combined different audio features to obtain a more robust fingerprint to be used in a music recommendation process. The combination of these methods resulted in a high-dimensional vector. To reduce the number of values, PCA was…

Audio and Speech Processing · Electrical Eng. & Systems 2023-12-07 Diego Saldaña Ulloa

In this paper, we propose two methods of calculating theoretically maximal metamer mismatch volumes. Unlike prior art techniques, our methods do not make any assumptions on the shape of spectra on the boundary of the mismatch volumes. Both…

Computational Geometry · Computer Science 2019-01-25 Michal Mackiewicz , Hans Jakob Rivertz , Graham D. Finlayson
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