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Exactly solvable neural network models with asymmetric weights are rare, and exact solutions are available only in some mean-field approaches. In this article we find exact analytical solutions of an asymmetric spin-glass-like model of…

神经元与认知 · 定量生物学 2017-02-16 Diego Fasoli , Anna Cattani , Stefano Panzeri

Current deep neural networks are highly overparameterized (up to billions of connection weights) and nonlinear. Yet they can fit data almost perfectly through variants of gradient descent algorithms and achieve unexpected levels of…

Accurate classification of molecular chemical motifs from experimental measurement is an important problem in molecular physics, chemistry and biology. In this work, we present neural network ensemble classifiers for predicting the presence…

材料科学 · 物理学 2023-06-29 Matthew R. Carbone , Phillip M. Maffettone , Xiaohui Qu , Shinjae Yoo , Deyu Lu

In materials science, point defects play a crucial role in materials properties. This is particularly well known for the wide band gap insulators where the defect formation/compensation determines the equilibrium Fermi level and generally…

材料科学 · 物理学 2023-11-29 Harshan Reddy Gopidi , Lovelesh Vashist , Oleksandr I. Malyi

The electrical and optical properties of semiconductor materials are profoundly influenced by the atomic configurations and concentrations of intrinsic defects. This influence is particularly significant in the case of $\beta$-$\rm…

材料科学 · 物理学 2024-02-08 Mengzhi Yan , Junlei Zhao , Flyura Djurabekova , Zongwei Xu

Multi-frequency Electrical Impedance Tomography (mfEIT) represents a promising biomedical imaging modality that enables the estimation of tissue conductivities across a range of frequencies. Addressing this challenge, we present a novel…

Topological defects are ubiquitous from solid state physics to cosmology, where they drive phase transitions by proliferating as domain walls, monopoles or vortices. As quantum excitations, they often display fractional charge and anyonic…

介观与纳米尺度物理 · 物理学 2012-03-27 R. Koushik , Matthias Baenninger , Vijay Narayan , Subroto Mukerjee , Michael Pepper , Ian Farrer , David A. Ritchie , Arindam Ghosh

A universal interatomic potential for an arbitrary set of chemical elements is urgently needed in computational materials science. Graph convolution neural network (GCN) has rich expressive power, but previously was mainly employed to…

计算物理 · 物理学 2022-03-17 So Takamoto , Satoshi Izumi , Ju Li

Computational materials discovery is limited by the high cost of first-principles calculations. Machine learning (ML) potentials that predict energies from crystal structures are promising, but existing methods face computational…

Continuous-depth neural networks, such as Neural ODEs, have refashioned the understanding of residual neural networks in terms of non-linear vector-valued optimal control problems. The common solution is to use the adjoint sensitivity…

机器学习 · 计算机科学 2022-02-16 Andrew Corbett , Dmitry Kangin

We consider feature representation learning problem of molecular graphs. Graph Neural Networks have been widely used in feature representation learning of molecular graphs. However, most existing methods deal with molecular graphs…

机器学习 · 计算机科学 2022-06-08 Zhaoning Yu , Hongyang Gao

Incorporation of physical principles in a network-based machine learning (ML) architecture is a fundamental step toward the continued development of artificial intelligence for materials science and condensed matter physics. In this work,…

Topological defects play a key role in the structures and dynamics of liquid crystals (LCs) and other ordered systems. There is a recent interest in studying defects in different biological systems with distinct textures. However, a robust…

软凝聚态物质 · 物理学 2025-01-20 Haijie Ren , Weiqiang Wang , Wentao Tang , Rui Zhang

We put forth a principled design of a neural architecture to learn nodal Adjacency Spectral Embeddings (ASE) from graph inputs. By bringing to bear the gradient descent (GD) method and leveraging the principle of algorithm unrolling, we…

机器学习 · 计算机科学 2025-08-29 Sofía Pérez Casulo , Marcelo Fiori , Federico Larroca , Gonzalo Mateos

Data-driven surrogate modeling has surged in capability in recent years with the emergence of graph neural networks (GNNs), which can operate directly on mesh-based representations of data. The goal of this work is to introduce an…

机器学习 · 计算机科学 2024-10-25 Shivam Barwey , Hojin Kim , Romit Maulik

Motivation: Predicting cellular responses to genetic perturbations is essential for understanding biological systems and developing targeted therapeutic strategies. While variational autoencoders (VAEs) have shown promise in modeling…

机器学习 · 计算机科学 2025-02-03 Seungheun Baek , Soyon Park , Yan Ting Chok , Mogan Gim , Jaewoo Kang

Over the past decade, neural networks have been successful at making predictions from biological sequences, especially in the context of regulatory genomics. As in other fields of deep learning, tools have been devised to extract features…

基因组学 · 定量生物学 2022-12-27 Antoine Villié , Philippe Veber , Yohann de Castro , Laurent Jacob

Adsorption energy is a reactivity descriptor that must be accurately predicted for effective machine learning (ML) application in catalyst screening. This process involves determining the lowest energy across various adsorption…

计算工程、金融与科学 · 计算机科学 2024-10-15 Janghoon Ock , Srivathsan Badrinarayanan , Rishikesh Magar , Akshay Antony , Amir Barati Farimani

The localized states in the band gap of amorphous phase change alloys like Ge$_2$Sb$_2$Te$_5$ control the electrical conduction via the Poole-Frenkel mechanism. Understanding the origin of in-gap states and their evolution in time during…

材料科学 · 物理学 2026-02-18 Omar Abou El Kheir , Marco Bernasconi

A range of methods with suitable inductive biases exist to learn interpretable object-centric representations of images without supervision. However, these are largely restricted to visually simple images; robust object discovery in…

机器学习 · 计算机科学 2020-11-25 Martin Engelcke , Oiwi Parker Jones , Ingmar Posner