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We apply a temporal edge prediction model for weighted dynamic graphs to predict time-dependent changes in molecular structure. Each molecule is represented as a complete graph in which each atom is a vertex and all vertex pairs are…

机器学习 · 计算机科学 2021-06-28 Michael Hunter Ashby , Jenna A. Bilbrey

Anomaly detection is a significant problem faced in several research areas. Detecting and correctly classifying something unseen as anomalous is a challenging problem that has been tackled in many different manners over the years.…

机器学习 · 计算机科学 2021-09-15 Federico Di Mattia , Paolo Galeone , Michele De Simoni , Emanuele Ghelfi

A theory of electron states for graphene nanoribbons with a smoothly varying width is developed. It is demonstrated that the standard adiabatic approximation allowing to neglect the mixing of different standing waves is more restrictive for…

介观与纳米尺度物理 · 物理学 2011-11-09 M. I. Katsnelson

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

机器学习 · 计算机科学 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

In this paper, we consider a one-dimensional random geometric graph process with the inter-nodal gaps evolving according to an exponential AR(1) process, which may serve as a mobile wireless network model. The transition probability matrix…

信息论 · 计算机科学 2009-12-09 Yilun Shang

Amorphous silicon (a-Si) models are analyzed for structural, electronic and vibrational characteristics. Several models of various sizes have been computationally fabricated for this analysis. It is shown that a recently developed…

无序系统与神经网络 · 物理学 2018-11-29 Dale Igram , Bishal Bhattarai , Parthapratim Biswas , D. A. Drabold

Inspired by the generation power of generative adversarial networks (GANs) in image domains, we introduce a novel hierarchical architecture for learning characteristic topological features from a single arbitrary input graph via GANs. The…

社会与信息网络 · 计算机科学 2019-10-10 Weiyi Liu , Hal Cooper , Min Hwan Oh , Sailung Yeung , Pin-Yu Chen , Toyotaro Suzumura , Lingli Chen

Systems that can be described with the same mathematical models that account for the properties of electrons in graphene are known as graphene-like systems. These include magnons, photons, polaritons, acoustic waves, and electrons in…

介观与纳米尺度物理 · 物理学 2022-10-17 J. L. Lado , J. Fernández-Rossier

According to density functional theory, any chemical property can be inferred from the electron density, making it the most informative attribute of an atomic structure. In this work, we demonstrate the use of established physical methods…

材料科学 · 物理学 2023-09-12 Ethan M. Sunshine , Muhammed Shuaibi , Zachary W. Ulissi , John R. Kitchin

We study one-dimensional systems with random diagonal disorder but off-diagonal short-range correlations imposed by structural constraints. We find that these correlations generate effective conduction channels for finite systems. At a…

无序系统与神经网络 · 物理学 2009-11-10 Wei Zhang , Sergio E. Ulloa

This work presents a systematic review of the feature-rich essential properties in graphene-related systems using the first-principles method. The geometric and electronic properties are greatly diversified by the number of layers, the…

化学物理 · 物理学 2017-02-14 Ngoc Thanh Thuy Tran , Shih-Yang Lin , Chiun-Yan Lin , Ming-Fa Lin

Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the…

光学 · 物理学 2021-02-03 B. X. Wang , C. Y. Zhao

Generative adversarial networks (GANs) are often billed as "universal distribution learners", but precisely what distributions they can represent and learn is still an open question. Heavy-tailed distributions are prevalent in many…

Directed acyclic graph (DAG) models are widely used to represent causal relationships among random variables in many application domains. This paper studies a special class of non-Gaussian DAG models, where the conditional variance of each…

机器学习 · 统计学 2021-11-03 Wei Zhou , Xin He , Wei Zhong , Junhui Wang

In recent works on the theory of machine learning, it has been observed that heavy tail properties of Stochastic Gradient Descent (SGD) can be studied in the probabilistic framework of stochastic recursions. In particular,…

机器学习 · 统计学 2024-03-22 Ewa Damek , Sebastian Mentemeier

The Generative Adversarial Network (GAN) was recently introduced in the literature as a novel machine learning method for training generative models. It has many applications in statistics such as nonparametric clustering and nonparametric…

机器学习 · 统计学 2023-06-26 Sehwan Kim , Qifan Song , Faming Liang

Generative adversarial networks (GANs) are a machine learning framework comprising a generative model for sampling from a target distribution and a discriminative model for evaluating the proximity of a sample to the target distribution.…

量子物理 · 物理学 2021-07-22 Daniel Herr , Benjamin Obert , Matthias Rosenkranz

Electronic band structures in hydrogenated graphene are theoretically investigated by means of first-principle calculations and an effective tight-binding model. It is shown that regularly designed hydrogenation to graphene gives rise to a…

介观与纳米尺度物理 · 物理学 2024-08-05 Yong-Cheng Jiang , Toshikaze Kariyado , Xiao Hu

Graph-level anomaly detection (GAD) describes the problem of detecting graphs that are abnormal in their structure and/or the features of their nodes, as compared to other graphs. One of the challenges in GAD is to devise graph…

计算机视觉与模式识别 · 计算机科学 2021-12-21 Rongrong Ma , Guansong Pang , Ling Chen , Anton van den Hengel

We determine the stability, the geometry, the electronic and magnetic structure of hydrogen-terminated graphene-nanoribbons edges as a function of the hydrogen content of the environment by means of density functional theory.…

材料科学 · 物理学 2008-08-28 Tobias Wassmann , Ari P. Seitsonen , A. Marco Saitta , Michele Lazzeri , Francesco Mauri