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In this paper, we investigate the geometric structure of activation spaces of fully connected layers in neural networks and then show applications of this study. We propose an efficient approximation algorithm to characterize the convex…

机器学习 · 计算机科学 2019-04-03 Yuting Jia , Haiwen Wang , Shuo Shao , Huan Long , Yunsong Zhou , Xinbing Wang

In this paper, we formalize the idea behind capsule nets of using a capsule vector rather than a neuron activation to predict the label of samples. To this end, we propose to learn a group of capsule subspaces onto which an input feature…

计算机视觉与模式识别 · 计算机科学 2018-10-23 Liheng Zhang , Marzieh Edraki , Guo-Jun Qi

Fully convolutional U-shaped neural networks have largely been the dominant approach for pixel-wise image segmentation. In this work, we tackle two defects that hinder their deployment in real-world applications: 1) Predictions lack…

计算机视觉与模式识别 · 计算机科学 2021-06-29 Martin Ferianc , Divyansh Manocha , Hongxiang Fan , Miguel Rodrigues

Landmark universal function approximation results for neural networks with trained weights and biases provided the impetus for the ubiquitous use of neural networks as learning models in neuroscience and Artificial Intelligence (AI). Recent…

Complex networks are ubiquitous to several Computer Science domains. Centrality measures are an important analysis mechanism to uncover vital elements of complex networks. However, these metrics have high computational costs and…

机器学习 · 计算机科学 2018-10-30 Felipe Grando , Lisando Z. Granville , Luis C. Lamb

Function regression/approximation is a fundamental application of machine learning. Neural networks (NNs) can be easily trained for function regression using a sufficient number of neurons and epochs. The forward-forward learning algorithm…

机器学习 · 计算机科学 2025-10-16 Shivam Padmani , Akshay Joshi

In the past five years we have observed the rise of incredibly well performing feed-forward neural networks trained supervisedly for vision related tasks. These models have achieved super-human performance on object recognition,…

计算机视觉与模式识别 · 计算机科学 2017-06-15 Alfredo Canziani , Eugenio Culurciello

Data-driven modeling of human motions is ubiquitous in computer graphics and computer vision applications, such as synthesizing realistic motions or recognizing actions. Recent research has shown that such problems can be approached by…

图形学 · 计算机科学 2019-08-21 He Wang , Edmond S. L. Ho , Hubert P. H. Shum , Zhanxing Zhu

Compact neural network offers many benefits for real-world applications. However, it is usually challenging to train the compact neural networks with small parameter sizes and low computational costs to achieve the same or better model…

机器学习 · 计算机科学 2023-08-28 Shen Ren , Haosen Shi

Large machine learning models based on Convolutional Neural Networks (CNNs) with rapidly increasing number of parameters, trained with massive amounts of data, are being deployed in a wide array of computer vision tasks from self-driving…

计算机视觉与模式识别 · 计算机科学 2021-10-14 Rishab Parthasarathy , Rohan Bhowmik

Activation functions play a decisive role in determining the capacity of Deep Neural Networks as they enable neural networks to capture inherent nonlinearities present in data fed to them. The prior research on activation functions…

计算机视觉与模式识别 · 计算机科学 2023-05-31 Jamshaid Ul Rahman , Faiza Makhdoom , Dianchen Lu

The contributions of this paper are twofold. First, we show the potential interest of Complex-Valued Neural Network (CVNN) on classification tasks for complex-valued datasets. To highlight this assertion, we investigate an example of…

In recent years, convolutional neural networks (CNNs) with channel-wise feature refining mechanisms have brought noticeable benefits to modelling channel dependencies. However, current attention paradigms fail to infer an optimal channel…

计算机视觉与模式识别 · 计算机科学 2024-05-14 Nick Nikzad , Yongsheng Gao , Jun Zhou

Artificial neural networks (ANN), typically referred to as neural networks, are a class of Machine Learning algorithms and have achieved widespread success, having been inspired by the biological structure of the human brain. Neural…

机器学习 · 计算机科学 2022-04-08 Murilo Gustineli

Convolutional neural networks (CNNs) are one of the most popular models of Artificial Neural Networks (ANN)s in Computer Vision (CV). A variety of CNN-based structures were developed by researchers to solve problems like image…

计算机视觉与模式识别 · 计算机科学 2022-09-30 Bowen Qiu , Daniela Raicu , Jacob Furst , Roselyne Tchoua

A neural network architecture is presented that exploits the multilevel properties of high-dimensional parameter-dependent partial differential equations, enabling an efficient approximation of parameter-to-solution maps, rivaling…

机器学习 · 计算机科学 2024-08-21 Janina Enrica Schütte , Martin Eigel

High-order derivatives of analytic functions are expressible as Cauchy integrals over circular contours, which can very effectively be approximated, e.g., by trapezoidal sums. Whereas analytically each radius r up to the radius of…

数值分析 · 数学 2011-04-04 Folkmar Bornemann

In this work we introduce a convolutional neural network (CNN) that jointly handles low-, mid-, and high-level vision tasks in a unified architecture that is trained end-to-end. Such a universal network can act like a `swiss knife' for…

计算机视觉与模式识别 · 计算机科学 2016-09-08 Iasonas Kokkinos

Successful training of convolutional neural networks is often associated with sufficiently deep architectures composed of high amounts of features. These networks typically rely on a variety of regularization and pruning techniques to…

计算机视觉与模式识别 · 计算机科学 2017-10-23 Martin Mundt , Tobias Weis , Kishore Konda , Visvanathan Ramesh

Complex-valued neural networks (CVNNs) are a powerful modeling tool for domains where data can be naturally interpreted in terms of complex numbers. However, several analytical properties of the complex domain (e.g., holomorphicity) make…

神经与进化计算 · 计算机科学 2018-02-23 Simone Scardapane , Steven Van Vaerenbergh , Amir Hussain , Aurelio Uncini