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We have developed a new global optimization method for the determination of interface structure based on the differential evolution algorithm. Here, we applied this method to search for the ground state atomic structures of the grain…

Materials Science · Physics 2015-06-16 Zheng-Lu Li , Hai-Yuan Cao , Ji-Hui Yang , Qiang Shu , Yue-Yu Zhang , Hongjun Xiang , Xingao Gong

Artificial crystals such as moir\'e superlattices can have a real-space periodicity much larger than the underlying atomic scale. This facilitates the presence of Bloch oscillations in the presence of a static electric field. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2023-11-23 Christophe De Beule , E. J. Mele

Graph Neural Networks (GNN) rely on graph convolutions to learn features from network data. GNNs are stable to different types of perturbations of the underlying graph, a property that they inherit from graph filters. In this paper we…

Machine Learning · Computer Science 2022-02-11 Juan Cervino , Luana Ruiz , Alejandro Ribeiro

In this paper, an Artificial Neural Network (ANN) technique is developed to find solution of celebrated Fractional order Differential Equations (FDE). Compared to integer order differential equation, FDE has the advantage that it can better…

Analysis of PDEs · Mathematics 2018-10-15 Susmita Mall , S. Chakraverty

Random fluctuations of the shot-noise power in disordered graphene nanoribbons are studied. In particular, we calculate the distribution of the shot noise of nanoribbons with zigzag and armchair edge terminations. We show that the shot…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Victor A. Gopar

The surge in interest in Artificial Intelligence (AI) over the past decade has been driven almost exclusively by advances in Artificial Neural Networks (ANNs). While ANNs set state-of-the-art performance for many previously intractable…

Neural and Evolutionary Computing · Computer Science 2022-09-02 Peter G. Stratton , Andrew Wabnitz , Chip Essam , Allen Cheung , Tara J. Hamilton

We study analytically, based on the tight-binding model, the electronic band structure of armchair AA-stacked bilayer graphene nanoribbons (BLGNRs) in several regimes. We apply hard-wall boundary conditions to determine the discretion…

Mesoscale and Nanoscale Physics · Physics 2015-02-10 Yawar Mohammadi , Borhan Arghavani Nia

We investigate the interplay of Bloch oscillations and Anderson localization in optics. Gradual washing out of Bloch oscillations and the formation of nearly stationary averaged intensity distributions, which are symmetric for narrow and…

Under a perfect periodic potential, the electric current density induced by a constant electric field may exhibit nontrivial oscillations, so-called Bloch oscillations, with an amplitude that remains nonzero in the large system size limit.…

Strongly Correlated Electrons · Physics 2022-01-04 Yankang Liu , Yohei Fuji , Haruki Watanabe

Recently, significant progress has been made regarding the statistical understanding of artificial neural networks (ANNs). ANNs are motivated by the functioning of the brain, but differ in several crucial aspects. In particular, the…

Machine Learning · Computer Science 2023-03-24 Johannes Schmidt-Hieber

This paper presents fault detection and classification using Wavelet and ANN based methods in a DFIG-based series compensated system. The state-of-the art methods include Wavelet transform, Fourier transform, and Wavelet-neuro fuzzy…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Satya Vikram Pratap Singh , Tanu Prasad , Siddharth Kamila , Prashant Agnihotri

In this paper, we compare the performance, stability and robustness of Artificial Neural Networks (ANN) and Boosted Decision Trees (BDT) using MiniBooNE Monte Carlo samples. These methods attempt to classify events given a number of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Hai-Jun Yang , Byron P. Roe , Ji Zhu

Formal verification of neural networks is essential for their deployment in safety-critical areas. Many available formal verification methods have been shown to be instances of a unified Branch and Bound (BaB) formulation. We propose a…

Machine Learning · Computer Science 2019-12-04 Jingyue Lu , M. Pawan Kumar

The effect of strain in graphene is usually modeled by a pseudo-magnetic vector potential which is, however, derived in the limit of small strain. In realistic cases deviations are expected in view of graphene's very high strain tolerance,…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 D. Moldovan , M. Ramezani Masir , F. M. Peeters

In real world systems, the predictions of deployed Machine Learned models affect the training data available to build subsequent models. This introduces a bias in the training data that needs to be addressed. Existing solutions to this…

Machine Learning · Computer Science 2018-04-20 John Moore , Joel Pfeiffer , Kai Wei , Rishabh Iyer , Denis Charles , Ran Gilad-Bachrach , Levi Boyles , Eren Manavoglu

We explore artificial neural networks as a tool for the reconstruction of spectral functions from imaginary time Green's functions, a classic ill-conditioned inverse problem. Our ansatz is based on a supervised learning framework in which…

This work addresses the inverse identification of apparent elastic properties of random heterogeneous materials using machine learning based on artificial neural networks. The proposed neural network-based identification method requires the…

Machine Learning · Computer Science 2021-02-12 Florent Pled , Christophe Desceliers , Tianyu Zhang

Deep neural networks (DNNs) are vulnerable to adversarial examples and other data perturbations. Especially in safety critical applications of DNNs, it is therefore crucial to detect misclassified samples. The current state-of-the-art…

Machine Learning · Computer Science 2020-04-21 Julia Lust , Alexandru Paul Condurache

An artificial neural network (ANN) based on fundamental principles of physics can simulate the operation of neurobiological reality of membrane potential as well as the properly defined order parameter. This ANN operates in conditions of…

Biological Physics · Physics 2019-05-14 Yiannis Contoyiannis , Myron Kampitakis

Graph neural networks (GNNs) are an emerging model for learning graph embeddings and making predictions on graph structured data. However, robustness of graph neural networks is not yet well-understood. In this work, we focus on node…

Machine Learning · Computer Science 2019-12-24 James Fox , Sivasankaran Rajamanickam