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We develop a numerical method to reconstruct systems of ordinary differential equations (ODEs) from time series data without {\it a priori} knowledge of the underlying ODEs using sparse basis learning and sparse function reconstruction. We…

数据分析、统计与概率 · 物理学 2016-05-19 Manuel Mai , Mark D. Shattuck , Corey S. O'Hern

Using the information theory, this study provides insights into how the construction of latent space of autoencoder (AE) using deep neural network (DNN) training finds a smooth low-dimensional manifold in the stiff dynamical system. Our…

A new method for the unsupervised learning of sparse representations using autoencoders is proposed and implemented by ordering the output of the hidden units by their activation value and progressively reconstructing the input in this…

机器学习 · 计算机科学 2016-05-09 Paul Bertens

Background: A classical problem in metabolic design is to maximize the production of desired compound in a given chemical reaction network by appropriately directing the mass flow through the network. Computationally, this problem is…

分子网络 · 定量生物学 2011-10-28 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

Predicting electronic energies, densities, and related chemical properties can facilitate the discovery of novel catalysts, medicines, and battery materials. By developing a physics-inspired equivariant neural network, we introduce a method…

Encoding the electronic structure of molecules using 2-electron reduced density matrices (2RDMs) as opposed to many-body wave functions has been a decades-long quest as the 2RDM contains sufficient information to compute the exact molecular…

化学物理 · 物理学 2022-08-11 David Pekker , Chungwen Liang , Sankha Pattanayak , Swagatam Mukhopadhyay

We develop a novel deep learning technique, termed Deep Orthogonal Decomposition (DOD), for dimensionality reduction and reduced order modeling of parameter dependent partial differential equations. The approach consists in the construction…

数值分析 · 数学 2024-05-15 Nicola Rares Franco , Andrea Manzoni , Paolo Zunino , Jan S. Hesthaven

Modern electron tomography has progressed to higher resolution at lower doses by leveraging compressed sensing methods that minimize total variation (TV). However, these sparsity-emphasized reconstruction algorithms introduce tunable…

医学物理 · 物理学 2023-09-12 William Millsaps , Jonathan Schwartz , Zichao Wendy Di , Yi Jiang , Robert Hovden

The development of chemical reaction models aids understanding and prediction in areas ranging from biology to electrochemistry and combustion. A systematic approach to building reaction network models uses observational data not only to…

计算工程、金融与科学 · 计算机科学 2019-01-23 Nikhil Galagali , Youssef M. Marzouk

Unsupervised dimensionality reduction is one of the commonly used techniques in the field of high dimensional data recognition problems. The deep autoencoder network which constrains the weights to be non-negative, can learn a low…

计算机视觉与模式识别 · 计算机科学 2020-09-18 Anyong Qin , Zhaowei Shang , Zhuolin Tan , Taiping Zhang , Yuan Yan Tang

We propose a novel algorithm for combined unit and layer pruning of deep neural networks that functions during training and without requiring a pre-trained network to apply. Our algorithm optimally trades-off learning accuracy and pruning…

机器学习 · 计算机科学 2025-07-17 Valentin Frank Ingmar Guenter , Athanasios Sideris

In closed hydroponic systems, periodic readjustment of nutrient solution is necessary to continuously provide stable environment to plant roots because the interaction between plant and nutrient solution changes the rate of ions in it. The…

系统与控制 · 电气工程与系统科学 2021-01-07 Byunghyun Ban , Minwoo Lee , Donghun Ryu

Chemical kinetic models are an essential component in the development and optimisation of combustion devices through their coupling to multi-dimensional simulations such as computational fluid dynamics (CFD). Low-dimensional kinetic models…

化学物理 · 物理学 2023-06-21 Mark Kelly , Mark Fortune , Gilles Bourque , Stephen Dooley

With the development of urbanization, the scale of urban road network continues to expand, especially in some Asian countries. Short-term traffic state prediction is one of the bases of traffic management and control. Constrained by the…

系统与控制 · 电气工程与系统科学 2024-09-10 Pengfei Xu , Weifeng Li , Chenjie Xu , Jian Li

In this paper, we propose a new method to identify biochemical reaction networks (i.e. both reactions and kinetic parameters) from heterogeneous datasets. Such datasets can contain (a) data from several replicates of an experiment performed…

系统与控制 · 计算机科学 2015-09-21 Wei Pan , Ye Yuan , Lennart Ljung , Jorge Goncalves , Guy-Bart Stan

We address the problem of simulation and parameter inference for chemical reaction networks described by the chemical Langevin equation, a stochastic differential equation (SDE) representation of the dynamics of the chemical species. This…

统计方法学 · 统计学 2025-08-18 Petar Jovanovski , Andrew Golightly , Umberto Picchini , Massimiliano Tamborrino

We develop a model-independent reduction method of chemical reaction systems based on the stoichiometry, which determines their network topology. A subnetwork can be eliminated systematically to give a reduced system with fewer degrees of…

分子网络 · 定量生物学 2021-11-25 Yuji Hirono , Takashi Okada , Hiroyasu Miyazaki , Yoshimasa Hidaka

In this work, we study and analyze different feature selection algorithms that can be used to classify cancer subtypes in case of highly varying high-dimensional data. We apply three different feature selection methods on five different…

机器学习 · 计算机科学 2021-10-01 Vaibhav Sinha , Siladitya Dash , Nazma Naskar , Sk Md Mosaddek Hossain

Cancer survival prediction is important for developing personalized treatments and inducing disease-causing mechanisms. Multi-omics data integration is attracting widespread interest in cancer research for providing information for…

基因组学 · 定量生物学 2022-07-12 Xing Wu , Qiulian Fang

Identifying complex phenotypes from high-dimensional biological data is challenging due to the intricate interdependencies among different physiological indicators. Traditional approaches often focus on detecting outliers in single…

机器学习 · 统计学 2024-10-24 Yafei Shen , Tao Zhang , Zhiwei Liu , Kalliopi Kostelidou , Ying Xu , Ling Yang
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