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While deep learning algorithms demonstrate a great potential in scientific computing, its application to multi-scale problems remains to be a big challenge. This is manifested by the "frequency principle" that neural networks tend to learn…

机器学习 · 计算机科学 2021-12-17 Xi-An Li , Zhi-Qin John Xu , Lei Zhang

In this paper, an innovative Physical Model-driven Neural Network (PMNN) method is proposed to solve time-fractional differential equations. It establishes a temporal iteration scheme based on physical model-driven neural networks which…

机器学习 · 计算机科学 2023-10-10 Zhiying Ma , Jie Hou , Wenhao Zhu , Yaxin Peng , Ying Li

Accurate ab-initio prediction of electronic energies is very expensive for macromolecules by explicitly solving post-Hartree-Fock equations. We here exploit the physically justified local correlation feature in compact basis of small…

化学物理 · 物理学 2023-08-01 Wai-Pan Ng , Qiujiang Liang , Jun Yang

Recent years have seen deep neural networks (DNNs) becoming wider and deeper to achieve better performance in many applications of AI. Such DNNs however require huge amounts of memory to store weights and intermediate results (e.g.,…

分布式、并行与集群计算 · 计算机科学 2018-04-27 Taro Sekiyama , Takashi Imamichi , Haruki Imai , Rudy Raymond

In today's information age, advanced fiber optic transmission technology is of paramount importance. Multimode fibers (MMFs) using space-division multiplexing (SDM) are promising for improved transmission capacity, connection flexibility,…

In this paper, a machine learning-based simulation framework of general-purpose multibody dynamics is introduced. The aim of the framework is to generate a well-trained meta-model of multibody dynamics (MBD) systems. To this end, deep…

Quantization is widely employed in both cloud and edge systems to reduce the memory occupation, latency, and energy consumption of deep neural networks. In particular, mixed-precision quantization, i.e., the use of different bit-widths for…

机器学习 · 计算机科学 2023-01-26 Matteo Risso , Alessio Burrello , Luca Benini , Enrico Macii , Massimo Poncino , Daniele Jahier Pagliari

Advanced tensor decomposition, such as Tensor train (TT) and Tensor ring (TR), has been widely studied for deep neural network (DNN) model compression, especially for recurrent neural networks (RNNs). However, compressing convolutional…

计算机视觉与模式识别 · 计算机科学 2021-07-28 Miao Yin , Yang Sui , Siyu Liao , Bo Yuan

Nowadays, we mainly use various convolution neural network (CNN) structures to extract features from radio data or spectrogram in AMR. Based on expert experience and spectrograms, they not only increase the difficulty of preprocessing, but…

信号处理 · 电气工程与系统科学 2019-12-10 Miao Du , Qin Yu , Shaomin Fei , Chen Wang , Xiaofeng Gong , Ruisen Luo

We develop a method in which the electronic densities of small fragments determined by Kohn-Sham density functional theory (DFT) are embedded using stochastic DFT to form the exact density of the full system. The new method preserves the…

化学物理 · 物理学 2015-06-19 Daniel Neuhauser , Roi Baer , Eran Rabani

Practical density functional theory (DFT) owes its success to the groundbreaking work of Kohn and Sham that introduced the exact calculation of the non-interacting kinetic energy of the electrons using an auxiliary mean-field system.…

化学物理 · 物理学 2023-11-17 P. del Mazo-Sevillano , J. Hermann

We propose a distributed approach to train deep neural networks (DNNs), which has guaranteed convergence theoretically and great scalability empirically: close to 6 times faster on instance of ImageNet data set when run with 6 machines. The…

机器学习 · 统计学 2016-10-04 Abhimanu Kumar , Pengtao Xie , Junming Yin , Eric P. Xing

Over this past decade, we combined the idea of stochastic resolution of identity with a variety of electronic structure methods. In our stochastic Kohn-Sham DFT method, the density is an average over multiple stochastic samples, with…

化学物理 · 物理学 2020-01-08 Wenfei Li , Ming Chen , Eran Rabani , Roi Baer , Daniel Neuhauser

This chapter presents the development of a density functional theory (DFT)-based method for accurate, reliable treatment of various resonances in atoms. Many of these are known to be notorious for their strong correlation, proximity to more…

化学物理 · 物理学 2019-04-19 Amlan K. Roy

Batch-splitting (data-parallelism) is the dominant distributed Deep Neural Network (DNN) training strategy, due to its universal applicability and its amenability to Single-Program-Multiple-Data (SPMD) programming. However, batch-splitting…

Recently, an extensive amount of research has been focused on compressing and accelerating Deep Neural Networks (DNN). So far, high compression rate algorithms require part of the training dataset for a low precision calibration, or a…

机器学习 · 计算机科学 2020-04-08 Matan Haroush , Itay Hubara , Elad Hoffer , Daniel Soudry

In this paper, deep neural network (DNN) is utilized to improve the belief propagation (BP) detection for massive multiple-input multiple-output (MIMO) systems. A neural network architecture suitable for detection task is firstly introduced…

信号处理 · 电气工程与系统科学 2018-04-06 Xiaosi Tan , Weihong Xu , Yair Be'ery , Zaichen Zhang , Xiaohu You , Chuan Zhang

Last year, at least 30,000 scientific papers used the Kohn-Sham scheme of density functional theory to solve electronic structure problems in a wide variety of scientific fields, ranging from materials science to biochemistry to…

计算物理 · 物理学 2018-02-07 Felix Brockherde , Leslie Vogt , Li Li , Mark E. Tuckerman , Kieron Burke , Klaus-Robert Müller

The increasing usage of Artificial Intelligence (AI) models, especially Deep Neural Networks (DNNs), is increasing the power consumption during training and inference, posing environmental concerns and driving the need for more…

神经与进化计算 · 计算机科学 2024-02-01 Gabriel Cortês , Nuno Lourenço , Penousal Machado

Nowadays this is very popular to use deep architectures in machine learning. Deep Belief Networks (DBNs) are deep architectures that use stack of Restricted Boltzmann Machines (RBM) to create a powerful generative model using training data.…

机器学习 · 计算机科学 2015-08-21 Mohammad Ali Keyvanrad , Mohammad Mehdi Homayounpour