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The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

Numerical Analysis · Mathematics 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

Control theory of dynamical systems offers a powerful framework for tackling challenges in deep neural networks and other machine learning architectures. We show that concepts such as simultaneous and ensemble controllability offer new…

Optimization and Control · Mathematics 2025-12-19 Enrique Zuazua

Task-based modeling with recurrent neural networks (RNNs) has emerged as a popular way to infer the computational function of different brain regions. These models are quantitatively assessed by comparing the low-dimensional neural…

Neurons and Cognition · Quantitative Biology 2019-12-06 Niru Maheswaranathan , Alex H. Williams , Matthew D. Golub , Surya Ganguli , David Sussillo

We develop a theoretical analysis for special neural network architectures, termed operator recurrent neural networks, for approximating nonlinear functions whose inputs are linear operators. Such functions commonly arise in solution…

Optimization and Control · Mathematics 2022-01-05 Maarten V. de Hoop , Matti Lassas , Christopher A. Wong

Controlling a non-statically stable biped is a difficult problem largely due to the complex hybrid dynamics involved. Recent work has demonstrated the effectiveness of reinforcement learning (RL) for simulation-based training of neural…

Robotics · Computer Science 2020-06-04 Jonah Siekmann , Srikar Valluri , Jeremy Dao , Lorenzo Bermillo , Helei Duan , Alan Fern , Jonathan Hurst

Large-scale recurrent networks have drawn increasing attention recently because of their capabilities in modeling a large variety of real-world phenomena and physical mechanisms. This paper studies how to identify all authentic connections…

Machine Learning · Statistics 2015-06-23 Yiyuan She , Yuejia He , Dapeng Wu

Algorithms based on deep network models are being used for many pattern recognition and decision-making tasks in robotics and AI. Training these models requires a large labeled dataset and considerable computational resources, which are not…

Artificial Intelligence · Computer Science 2022-01-26 Mohan Sridharan , Tiago Mota

In recent years, deep artificial neural networks (including recurrent ones) have won numerous contests in pattern recognition and machine learning. This historical survey compactly summarises relevant work, much of it from the previous…

Neural and Evolutionary Computing · Computer Science 2014-11-20 Juergen Schmidhuber

A recurrent neural network (RNN) is a universal approximator of dynamical systems, whose performance often depends on sensitive hyperparameters. Tuning of such hyperparameters may be difficult and, typically, based on a trial-and-error…

Neural and Evolutionary Computing · Computer Science 2017-02-22 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi , Robert Jenssen

Recurrent neural network architectures can have useful computational properties, with complex temporal dynamics and input-sensitive attractor states. However, evaluation of recurrent dynamic architectures requires solution of systems of…

Neural and Evolutionary Computing · Computer Science 2019-11-18 Dylan Richard Muir

Achieving machine intelligence requires a smooth integration of perception and reasoning, yet models developed to date tend to specialize in one or the other; sophisticated manipulation of symbols acquired from rich perceptual spaces has so…

Machine Learning · Computer Science 2018-09-14 Eric Crawford , Guillaume Rabusseau , Joelle Pineau

The success of deep learning in the computer vision and natural language processing communities can be attributed to training of very deep neural networks with millions or billions of parameters which can then be trained with massive…

Machine Learning · Computer Science 2021-02-17 Kei Ota , Devesh K. Jha , Asako Kanezaki

The use of machine learning in the self-driving industry has boosted a number of recent advancements. In particular, the usage of large deep learning models in the perception and prediction stack have proved quite successful, but there…

Robotics · Computer Science 2022-05-11 Johnathan Chiu

Current Deep Reinforcement Learning algorithms still heavily rely on handcrafted neural network architectures. We propose a novel approach to automatically find strong topologies for continuous control tasks while only adding a minor…

Machine Learning · Computer Science 2020-02-28 Jörg K. H. Franke , Gregor Köhler , Noor Awad , Frank Hutter

Machine learning has made tremendous progress in recent years and received large amounts of public attention. Though we are still far from designing a full artificially intelligent agent, machine learning has brought us many applications in…

Machine Learning · Computer Science 2019-08-29 Steven Abreu

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

Machine Learning · Computer Science 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

Deep networks consume a large amount of memory by their nature. A natural question arises can we reduce that memory requirement whilst maintaining performance. In particular, in this work we address the problem of memory efficient learning…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Eunwoo Kim , Chanho Ahn , Philip H. S. Torr , Songhwai Oh

In this work we establish the relation between optimal control and training deep Convolution Neural Networks (CNNs). We show that the forward propagation in CNNs can be interpreted as a time-dependent nonlinear differential equation and…

Neural and Evolutionary Computing · Computer Science 2017-06-23 Eldad Haber , Lars Ruthotto , Elliot Holtham , Seong-Hwan Jun

Neural network based models have achieved impressive results on various specific tasks. However, in previous works, most models are learned separately based on single-task supervised objectives, which often suffer from insufficient training…

Computation and Language · Computer Science 2016-09-26 Pengfei Liu , Xipeng Qiu , Xuanjing Huang

Residual neural networks (ResNets) are a promising class of deep neural networks that have shown excellent performance for a number of learning tasks, e.g., image classification and recognition. Mathematically, ResNet architectures can be…

Optimization and Control · Mathematics 2019-07-26 S. Günther , L. Ruthotto , J. B. Schroder , E. C. Cyr , N. R. Gauger