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We revisit the analogy between feed-forward deep neural networks (DNNs) and discrete dynamical systems derived from neural integral equations and their corresponding partial differential equation (PDE) forms. A comparative analysis between…

机器学习 · 计算机科学 2026-05-21 Abhisek Ganguly , Santosh Ansumali , Sauro Succi

Deep neural networks progressively transform their inputs across multiple processing layers. What are the geometrical properties of the representations learned by these networks? Here we study the intrinsic dimensionality (ID) of…

机器学习 · 计算机科学 2019-10-29 Alessio Ansuini , Alessandro Laio , Jakob H. Macke , Davide Zoccolan

This work proposes an algorithm for explicitly constructing a pair of neural networks that linearize and reconstruct an embedded submanifold, from finite samples of this manifold. Our such-generated neural networks, called Flattening…

机器学习 · 计算机科学 2023-09-11 Michael Psenka , Druv Pai , Vishal Raman , Shankar Sastry , Yi Ma

Sequences and time-series often arise in robot tasks, e.g., in activity recognition and imitation learning. In recent years, deep neural networks (DNNs) have emerged as an effective data-driven methodology for processing sequences given…

人工智能 · 计算机科学 2021-01-29 Yaqi Xie , Fan Zhou , Harold Soh

Deep convolutional neural networks (CNNs) have demonstrated remarkable success in computer vision by supervisedly learning strong visual feature representations. However, training CNNs relies heavily on the availability of exhaustive…

计算机视觉与模式识别 · 计算机科学 2019-05-31 Jiabo Huang , Qi Dong , Shaogang Gong , Xiatian Zhu

Embedding high-dimensional data onto a low-dimensional manifold is of both theoretical and practical value. In this paper, we propose to combine deep neural networks (DNN) with mathematics-guided embedding rules for high-dimensional data…

机器学习 · 计算机科学 2022-08-19 Zixia Zhou , Xinrui Zu , Yuanyuan Wang , Boudewijn P. F. Lelieveldt , Qian Tao

Spectral Embedding (SE) has often been used to map data points from non-linear manifolds to linear subspaces for the purpose of classification and clustering. Despite significant advantages, the subspace structure of data in the original…

计算机视觉与模式识别 · 计算机科学 2023-05-16 Hira Yaseen , Arif Mahmood

Sparse coding can learn good robust representation to noise and model more higher-order representation for image classification. However, the inference algorithm is computationally expensive even though the supervised signals are used to…

计算机视觉与模式识别 · 计算机科学 2015-01-06 Jun Li , Heyou Chang , Jian Yang

Artificial intelligence (AI) systems power the world we live in. Deep neural networks (DNNs) are able to solve tasks in an ever-expanding landscape of scenarios, but our eagerness to apply these powerful models leads us to focus on their…

计算机视觉与模式识别 · 计算机科学 2022-04-22 Loris Giulivi , Mark James Carman , Giacomo Boracchi

Controlling the internal representation space of a neural network is a desirable feature because it allows to generate new data in a supervised manner. In this paper we will show how this can be achieved while building a low-dimensional…

机器学习 · 计算机科学 2020-09-03 Francesco Mannella

Autonomous navigation is an essential capability of smart mobility for mobile robots. Traditional methods must have the environment map to plan a collision-free path in workspace. Deep reinforcement learning (DRL) is a promising technique…

机器人学 · 计算机科学 2019-04-23 Liulong Ma , Yanjie Liu , Jiao Chen , Dong Jin

Deep neural networks have been proven powerful at processing perceptual data, such as images and audio. However for tabular data, tree-based models are more popular. A nice property of tree-based models is their natural interpretability. In…

机器学习 · 计算机科学 2018-06-20 Yongxin Yang , Irene Garcia Morillo , Timothy M. Hospedales

Brain imaging data such as EEG or MEG are high-dimensional spatiotemporal data often degraded by complex, non-Gaussian noise. For reliable analysis of brain imaging data, it is important to extract discriminative, low-dimensional intrinsic…

计算机视觉与模式识别 · 计算机科学 2017-05-16 Yiluan Guo , Hossein Nejati , Ngai-Man Cheung

Artificial neural networks which are inspired from the learning mechanism of brain have achieved great successes in many problems, especially those with deep layers. In this paper, we propose a nucleus neural network (NNN) and corresponding…

计算机视觉与模式识别 · 计算机科学 2019-05-15 Jia Liu , Maoguo Gong , Haibo He

The goal of this thesis is to improve our understanding of the internal mechanisms by which deep artificial neural networks create meaningful representations and are able to generalize. We focus on the challenge of characterizing the…

机器学习 · 计算机科学 2025-10-29 Diego Doimo

Artificial neural network (ANN) is a versatile tool to study the neural representation in the ventral visual stream, and the knowledge in neuroscience in return inspires ANN models to improve performance in the task. However, it is still…

机器学习 · 计算机科学 2022-06-13 Xuming Ran , Jie Zhang , Ziyuan Ye , Haiyan Wu , Qi Xu , Huihui Zhou , Quanying Liu

Deep neural networks (DNNs) have demonstrated state-of-the-art results on many pattern recognition tasks, especially vision classification problems. Understanding the inner workings of such computational brains is both fascinating basic…

神经与进化计算 · 计算机科学 2016-11-24 Anh Nguyen , Alexey Dosovitskiy , Jason Yosinski , Thomas Brox , Jeff Clune

Supervised deep convolutional neural networks (DCNNs) are currently one of the best computational models that can explain how the primate ventral visual stream solves object recognition. However, embodied cognition has not been considered…

Deep learning has led to significant advances in artificial intelligence, in part, by adopting strategies motivated by neurophysiology. However, it is unclear whether deep learning could occur in the real brain. Here, we show that a deep…

神经元与认知 · 定量生物学 2017-04-11 Jordan Guergiuev , Timothy P. Lillicrap , Blake A. Richards

We use Deep Neural Networks (DNNs) to classify and reconstruct a large database of handwritten digits from the intensity of the speckle patterns that result after the images propagated through multimode fibers (MMF). Images transmitted…

光学 · 物理学 2018-08-21 Navid Borhani , Eirini Kakkava , Christophe Moser , Demetri Psaltis