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Deep neural networks have been remarkable successful in various AI tasks but often cast high computation and energy cost for energy-constrained applications such as mobile sensing. We address this problem by proposing a novel framework that…

机器学习 · 计算机科学 2017-10-11 Jiaqi Guan , Yang Liu , Qiang Liu , Jian Peng

Many important problems in science and engineering require solving the so-called parametric partial differential equations (PDEs), i.e., PDEs with different physical parameters, boundary conditions, shapes of computational domains, etc.…

数值分析 · 数学 2024-02-06 Zhanhong Ye , Xiang Huang , Hongsheng Liu , Bin Dong

A chemical reaction network (CRN) is composed of reactions that can be seen as interactions among entities called species, which exist within the system. Endowed with kinetics, CRN has a corresponding set of ordinary differential equations…

动力系统 · 数学 2021-04-20 Bryan S. Hernandez , Ralph John L. De la Cruz

Despite their successes in the field of self-learning AI, Convolutional Neural Networks (CNNs) suffer from having too many trainable parameters, impacting computational performance. Several approaches have been proposed to reduce the number…

机器学习 · 计算机科学 2019-02-28 Sebastiaan Koning , Caspar Greeven , Eric Postma

We consider stochastic descriptions of chemical reaction networks in which there are both fast and slow reactions, and for which the time scales are widely separated. We develop a computational algorithm that produces the generator of the…

动力系统 · 数学 2015-12-11 Xingye Kan , Chang Hyeong Lee , Hans G. Othmer

The rare event acceleration method BXDE is interfaced in the present work with the automated reaction discovery method AutoMeKin. To test the efficiency of the combined AutoMeKin-BXDE procedure, the ozonolysis of a-pinene is studied in…

The discrete chemical master equation (dCME) provides a fundamental framework for studying stochasticity in mesoscopic networks. Because of the multi-scale nature of many networks where reaction rates have large disparity, directly solving…

定量方法 · 定量生物学 2017-07-27 Youfang Cao , Anna Terebus , Jie Liang

Computing accurate reaction rates is a central challenge in computational chemistry and biology because of the high cost of free energy estimation with unbiased molecular dynamics. In this work, a data-driven machine learning algorithm is…

计算物理 · 物理学 2020-12-08 Lixin Sun , Jonathan Vandermause , Simon Batzner , Yu Xie , David Clark , Wei Chen , Boris Kozinsky

Online learning has become crucial to many problems in machine learning. As more data is collected sequentially, quickly adapting to changes in the data distribution can offer several competitive advantages such as avoiding loss of prior…

机器学习 · 计算机科学 2017-12-15 Thushan Ganegedara , Lionel Ott , Fabio Ramos

Autoencoders are data-specific compression algorithms learned automatically from examples. The predominant approach has been to construct single large global models that cover the domain. However, training and evaluating models of…

神经与进化计算 · 计算机科学 2022-12-05 Richard J. Preen , Stewart W. Wilson , Larry Bull

Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to…

机器学习 · 计算机科学 2021-06-11 Sifan Wang , Paris Perdikaris

Optimal operation of chemical processes is vital for energy, resource, and cost savings in chemical engineering. The problem of optimal operation can be tackled with reinforcement learning, but traditional reinforcement learning methods…

机器学习 · 计算机科学 2025-11-21 Dean Brandner , Sergio Lucia

A new data-driven method for operator learning of stochastic differential equations(SDE) is proposed in this paper. The central goal is to solve forward and inverse stochastic problems more effectively using limited data. Deep operator…

机器学习 · 统计学 2022-04-08 Jiahao Zhang , Shiqi Zhang , Guang Lin

Gene expression profiles have been widely used to characterize patterns of cellular responses to diseases. As data becomes available, scalable learning toolkits become essential to processing large datasets using deep learning models to…

机器学习 · 计算机科学 2019-02-01 Ya Ju Fan , Jonathan E. Allen , Sam Ade Jacobs , Brian C. Van Essen

In some scenarios, classifier requires detecting out-of-distribution samples far from its training data. With desirable characteristics, reconstruction autoencoder-based methods deal with this problem by using input reconstruction error as…

计算机视觉与模式识别 · 计算机科学 2023-03-30 Yibo Zhou

In the integrative analyses of omics data, it is often of interest to extract data representation from one data type that best reflect its relations with another data type. This task is traditionally fulfilled by linear methods such as…

应用统计 · 统计学 2021-03-30 Tianwei Yu

Deep learning has shown promise in enhancing channel state information (CSI) feedback. However, many studies indicate that better feedback performance often accompanies higher computational complexity. Pursuing better performance-complexity…

信号处理 · 电气工程与系统科学 2024-03-05 Yiming Cui , Jiajia Guo , Zheng Cao , Huaze Tang , Chao-Kai Wen , Shi Jin , Xin Wang , Xiaolin Hou

A novel algorithm based on the optimized decimation of tensor networks with super-orthogonalization (ODTNS) that can be applied to simulate efficiently and accurately not only the thermodynamic but also the ground state properties of…

统计力学 · 物理学 2015-06-05 Shi-Ju Ran , Wei Li , Bin Xi , Zhe Zhang , Gang Su

Modeling complex spatiotemporal dynamical systems, such as the reaction-diffusion processes, have largely relied on partial differential equations (PDEs). However, due to insufficient prior knowledge on some under-explored dynamical…

机器学习 · 计算机科学 2023-05-23 Chengping Rao , Pu Ren , Qi Wang , Oral Buyukozturk , Hao Sun , Yang Liu

The necessary decarbonization efforts in energy sectors entail the integration of flexibility assets, as well as increased levels of uncertainty for the planning and operation of power systems. To cope with this in a cost-effective manner,…

系统与控制 · 电气工程与系统科学 2024-09-25 Stefan Borozan , Spyros Giannelos , Paola Falugi , Alexandre Moreira , Goran Strbac