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Recently, a unified framework for adaptive kernel based signal processing of complex data was presented by the authors, which, besides offering techniques to map the input data to complex Reproducing Kernel Hilbert Spaces, developed a…

机器学习 · 计算机科学 2015-05-30 Pantelis Bouboulis , Sergios Theodoridis , Michael Mavroforakis

It is fundamental to measure model complexity of deep neural networks. The existing literature on model complexity mainly focuses on neural networks with piecewise linear activation functions. Model complexity of neural networks with…

机器学习 · 计算机科学 2020-06-17 Xia Hu , Weiqing Liu , Jiang Bian , Jian Pei

We study the universality of complex-valued neural networks with bounded widths and arbitrary depths. Under mild assumptions, we give a full description of those activation functions $\varrho:\mathbb{C}\to \mathbb{C}$ that have the property…

泛函分析 · 数学 2024-11-27 Paul Geuchen , Thomas Jahn , Hannes Matt

With the impressive capability to capture visual content, deep convolutional neural networks (CNN) have demon- strated promising performance in various vision-based ap- plications, such as classification, recognition, and objec- t…

计算机视觉与模式识别 · 计算机科学 2015-09-16 Zhen Liu

Deep complex-valued neural networks (CVNNs) provide a powerful way to leverage complex number operations and representations and have succeeded in several phase-based applications. However, previous networks have not fully explored the…

图像与视频处理 · 电气工程与系统科学 2025-03-06 Yanting Yang , Yiren Zhang , Zongyu Li , Jeffery Siyuan Tian , Matthieu Dagommer , Jia Guo

Quantum computing enables quantum neural networks (QNNs) to have great potentials to surpass artificial neural networks (ANNs). The powerful generalization of neural networks is attributed to nonlinear activation functions. Although various…

量子物理 · 物理学 2020-11-30 Shilu Yan , Hongsheng Qi , Wei Cui

Convolutional neural networks (CNNs) have enabled the state-of-the-art performance in many computer vision tasks. However, little effort has been devoted to establishing convolution in non-linear space. Existing works mainly leverage on the…

计算机视觉与模式识别 · 计算机科学 2020-05-25 Chen Wang , Jianfei Yang , Lihua Xie , Junsong Yuan

While neural networks are used for classification tasks across domains, a long-standing open problem in machine learning is determining whether neural networks trained using standard procedures are optimal for classification, i.e., whether…

机器学习 · 计算机科学 2023-05-03 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

Many real-world signal sources are complex-valued, having real and imaginary components. However, the vast majority of existing deep learning platforms and network architectures do not support the use of complex-valued data. MRI data is…

图像与视频处理 · 电气工程与系统科学 2020-09-02 Elizabeth K. Cole , Joseph Y. Cheng , John M. Pauly , Shreyas S. Vasanawala

Quantized deep neural networks (QDNNs) are necessary for low-power, high throughput, and embedded applications. Previous studies mostly focused on developing optimization methods for the quantization of given models. However, quantization…

机器学习 · 计算机科学 2020-06-02 Yoonho Boo , Sungho Shin , Wonyong Sung

The computational complexity of kernel methods has often been a major barrier for applying them to large-scale learning problems. We argue that this barrier can be effectively overcome. In particular, we develop methods to scale up kernel…

3D action recognition was shown to benefit from a covariance representation of the input data (joint 3D positions). A kernel machine feed with such feature is an effective paradigm for 3D action recognition, yielding state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2017-10-05 Jacopo Cavazza , Pietro Morerio , Vittorio Murino

This paper proposes online-learning complex-valued neural networks (CVNNs) to predict future channel states in fast-fading multipath mobile communications. CVNN is suitable for dealing with a fading communication channel as a single…

信号处理 · 电气工程与系统科学 2021-05-03 Tianben Ding , Akira Hirose

Complex-Valued Neural Networks (CVNNs) have significant advantages in handling tasks that involve complex numbers. However, existing CVNNs are unable to quantify predictive uncertainty. We propose, for the first time, dropout-based Bayesian…

硬件体系结构 · 计算机科学 2026-04-23 Zehuan Zhang , Mark Chen , He Li , Wayne Luk

In the current research of neural networks, the activation function is manually specified by human and not able to change themselves during training. This paper focus on how to make the activation function trainable for deep neural…

计算机视觉与模式识别 · 计算机科学 2020-06-08 Zhaohe Liao

Deep Neural Networks, particularly Convolutional Neural Networks (ConvNets), have achieved incredible success in many vision tasks, but they usually require millions of parameters for good accuracy performance. With increasing applications…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Yuhuang Hu , Shih-Chii Liu

Modern neural network architectures for large-scale learning tasks have substantially higher model complexities, which makes understanding, visualizing and training these architectures difficult. Recent contributions to deep learning…

机器学习 · 计算机科学 2024-10-30 Jayadeva , Himanshu Pant , Mayank Sharma , Abhimanyu Dubey , Sumit Soman , Suraj Tripathi , Sai Guruju , Nihal Goalla

Convolutional Neural Networks (CNNs) have recently achieved remarkably strong performance on the practically important task of sentence classification (kim 2014, kalchbrenner 2014, johnson 2014). However, these models require practitioners…

计算与语言 · 计算机科学 2016-04-08 Ye Zhang , Byron Wallace

Convolutional neural networks (CNNs) are deep learning frameworks which are well-known for their notable performance in classification tasks. Hence, many skeleton-based action recognition and segmentation (SBARS) algorithms benefit from…

机器学习 · 计算机科学 2019-11-13 Babak Hosseini , Romain Montagne , Barbara Hammer

In this paper, we leverage a recent deep kernel representer theorem to connect kernel based learning and (deep) neural networks in order to understand their interplay. In particular, we show that the use of special types of kernels yields…

机器学习 · 计算机科学 2025-09-19 Tizian Wenzel , Gabriele Santin , Bernard Haasdonk