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We review several of the most widely used techniques for training recurrent neural networks to approximate dynamical systems, then describe a novel algorithm for this task. The algorithm is based on an earlier theoretical result that…

神经与进化计算 · 计算机科学 2016-06-09 Adam Trischler , Gabriele MT D'Eleuterio

This paper introduces a tensor neural network (TNN) to address nonparametric regression problems, leveraging its distinct sub-network structure to effectively facilitate variable separation and enhance the approximation of complex,…

机器学习 · 统计学 2024-09-16 Yongxin Li , Yifan Wang , Zhongshuo Lin , Hehu Xie

Recovering a function or high-dimensional parameter vector from indirect measurements is a central task in various scientific areas. Several methods for solving such inverse problems are well developed and well understood. Recently, novel…

数值分析 · 数学 2019-12-10 Housen Li , Johannes Schwab , Stephan Antholzer , Markus Haltmeier

Existing adaptive bias techniques, which seek to estimate free energies and physical properties from molecular simulations, are limited by their reliance on fixed kernels or basis sets which hinder their ability to efficiently conform to…

统计力学 · 物理学 2018-04-04 Hythem Sidky , Jonathan K. Whitmer

The goal of this work is to train a neural network which approximates solutions to the Navier-Stokes equations across a region of parameter space, in which the parameters define physical properties such as domain shape and boundary…

计算物理 · 物理学 2021-06-02 Christopher J Arthurs , Andrew P King

A hyper-redundant robotic arm is a manipulator with many degrees of freedom, capable of executing tasks in cluttered environments where robotic arms with fewer degrees of freedom are unable to operate. This paper introduces a new method for…

机器人学 · 计算机科学 2018-03-13 Marios P. Xanthidis , Kostantinos J. Kyriakopoulos , Ioannis Rekleitis

We propose a method to use artificial neural networks to approximate light scattering by multilayer nanoparticles. We find the network needs to be trained on only a small sampling of the data in order to approximate the simulation to high…

Adaptive control is subject to stability and performance issues when a learned model is used to enhance its performance. This paper thus presents a deep learning-based adaptive control framework for nonlinear systems with…

机器学习 · 计算机科学 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques Slotine

Distillation is a unit operation with multiple input parameters and multiple output parameters. It is characterized by multiple variables, coupling between input parameters, and non-linear relationship with output parameters. Therefore, it…

化学物理 · 物理学 2021-07-30 Chunli Li , Chunyu Wang

Applying end-to-end learning to solve complex, interactive, pixel-driven control tasks on a robot is an unsolved problem. Deep Reinforcement Learning algorithms are too slow to achieve performance on a real robot, but their potential has…

机器人学 · 计算机科学 2018-05-23 Andrei A. Rusu , Mel Vecerik , Thomas Rothörl , Nicolas Heess , Razvan Pascanu , Raia Hadsell

We develop an algorithm that solves the inverse kinematics of general serial 2RP3R, 2R2P2R, 3RP2R and 6R manipulators based on the HuPf algorithm. We identify the workspaces of the 3-subchains of the manipulator with a quasi-projective…

机器人学 · 计算机科学 2019-06-20 Jose Capco , Manuel Joseph C. Loquias , Saraleen Mae M. Manongsong , Fidel R. Nemenzo

Serial robot arms have complicated kinematic equations which must be solved to write effective arm planning and control software (the Inverse Kinematics Problem). Existing software packages for inverse kinematics often rely on numerical…

机器人学 · 计算机科学 2017-12-08 Dianmu Zhang , Blake Hannaford

Learned graph neural networks (GNNs) have recently been established as fast and accurate alternatives for principled solvers in simulating the dynamics of physical systems. In many application domains across science and engineering,…

机器学习 · 计算机科学 2022-06-03 Qingqing Zhao , David B. Lindell , Gordon Wetzstein

Automated mathematical reasoning is a challenging problem that requires an agent to learn algebraic patterns that contain long-range dependencies. Two particular tasks that test this type of reasoning are (1) mathematical equation…

机器学习 · 计算机科学 2021-04-08 Ankur Mali , Alexander Ororbia , Daniel Kifer , C. Lee Giles

With the recent advances in machine learning, problems that traditionally would require accurate modeling to be solved analytically can now be successfully approached with data-driven strategies. Among these, computing the inverse…

机器人学 · 计算机科学 2021-03-31 Gian Maria Marconi , Raffaello Camoriano , Lorenzo Rosasco , Carlo Ciliberto

Artificial neurons built on synthetic gene networks have potential applications ranging from complex cellular decision-making to bioreactor regulation. Furthermore, due to the high information throughput of natural systems, it provides an…

神经与进化计算 · 计算机科学 2020-01-31 Sihao Huang

How can the stability and efficiency of Artificial Neural Networks (ANNs) be ensured through a systematic analysis method? This paper seeks to address that query. While numerous factors can influence the learning process of ANNs, utilizing…

人工智能 · 计算机科学 2023-10-10 Cheng Kang , Xujing Yao

Synaptic plasticity allows cortical circuits to learn new tasks and to adapt to changing environments. How do cortical circuits use plasticity to acquire functions such as decision-making or working memory? Neurons are connected in complex…

神经元与认知 · 定量生物学 2023-03-08 Néstor Parga , Luis Serrano-Fernández , Joan Falcó-Roget

Surgical planning and training based on machine learning requires a large amount of 3D anatomical models reconstructed from medical imaging, which is currently one of the major bottlenecks. Obtaining these data from real patients and during…

计算机视觉与模式识别 · 计算机科学 2025-11-25 Ann-Sophia Müller , Moonkwang Jeong , Meng Zhang , Jiyuan Tian , Arkadiusz Miernik , Stefanie Speidel , Tian Qiu

Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse problems are the non-uniqueness and instability of their…

数值分析 · 数学 2020-06-09 Markus Haltmeier , Linh V. Nguyen
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