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We propose a new algorithm to learn a one-hidden-layer convolutional neural network where both the convolutional weights and the outputs weights are parameters to be learned. Our algorithm works for a general class of (potentially…

机器学习 · 计算机科学 2018-06-05 Simon S. Du , Surbhi Goel

Many convolutional neural networks (CNNs) rely on progressive downsampling of their feature maps to increase the network's receptive field and decrease computational cost. However, this comes at the price of losing granularity in the…

计算机视觉与模式识别 · 计算机科学 2023-05-17 Robin Hesse , Simone Schaub-Meyer , Stefan Roth

Modern convolutional neural networks (CNNs) have massive identical convolution blocks, and, hence, recursive sharing of parameters across these blocks has been proposed to reduce the amount of parameters. However, naive sharing of…

计算机视觉与模式识别 · 计算机科学 2021-11-23 Woochul Kang , Daeyeon Kim

This study proposes a convolutional nonlinear dictionary (CNLD) for image restoration using cascaded filter banks. Generally, convolutional neural networks (CNN) demonstrate their practicality in image restoration applications; however,…

计算机视觉与模式识别 · 计算机科学 2020-09-03 Ruiki Kobayashi , Shogo Muramatsu

Convolutional Neural Networks (CNNs) do not have a predictable recognition behavior with respect to the input resolution change. This prevents the feasibility of deployment on different input image resolutions for a specific model. To…

计算机视觉与模式识别 · 计算机科学 2020-07-14 Duo Li , Anbang Yao , Qifeng Chen

We propose a new method for input variable selection in nonlinear regression. The method is embedded into a kernel regression machine that can model general nonlinear functions, not being a priori limited to additive models. This is the…

机器学习 · 计算机科学 2018-09-05 Magda Gregorová , Jason Ramapuram , Alexandros Kalousis , Stéphane Marchand-Maillet

In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

机器学习 · 统计学 2016-10-26 Julien Mairal

Visual saliency is a fundamental problem in both cognitive and computational sciences, including computer vision. In this CVPR 2015 paper, we discover that a high-quality visual saliency model can be trained with multiscale features…

计算机视觉与模式识别 · 计算机科学 2015-04-13 Guanbin Li , Yizhou Yu

Hyperparameters tuning is a time-consuming approach, particularly when the architecture of the neural network is decided as part of this process. For instance, in convolutional neural networks (CNNs), the selection of the number and the…

机器学习 · 计算机科学 2020-07-31 Roberto L. Castro , Diego Andrade , Basilio Fraguela

In this paper, we provide a theoretical analysis of the inductive biases in convolutional neural networks (CNNs). We start by examining the universality of CNNs, i.e., the ability to approximate any continuous functions. We prove that a…

机器学习 · 计算机科学 2024-01-23 Zihao Wang , Lei Wu

In this paper we address the problem of representing 3D visual data with parameterized volumetric shape primitives. Specifically, we present a (two-stage) approach built around convolutional neural networks (CNNs) capable of segmenting…

计算机视觉与模式识别 · 计算机科学 2020-01-29 Jaka Šircelj , Tim Oblak , Klemen Grm , Uroš Petković , Aleš Jaklič , Peter Peer , Vitomir Štruc , Franc Solina

Convolutional Neural Networks (CNN) have been successful in processing data signals that are uniformly sampled in the spatial domain (e.g., images). However, most data signals do not natively exist on a grid, and in the process of being…

计算机视觉与模式识别 · 计算机科学 2019-01-09 Chiyu "Max" Jiang , Dequan Wang , Jingwei Huang , Philip Marcus , Matthias Nießner

Despite recent theoretical progress on the non-convex optimization of two-layer neural networks, it is still an open question whether gradient descent on neural networks without unnatural modifications can achieve better sample complexity…

机器学习 · 计算机科学 2023-10-10 Arvind Mahankali , Jeff Z. Haochen , Kefan Dong , Margalit Glasgow , Tengyu Ma

Recurrent Neural Network (RNN) is a fundamental structure in deep learning. Recently, some works study the training process of over-parameterized neural networks, and show that over-parameterized networks can learn functions in some notable…

机器学习 · 计算机科学 2022-01-27 Lifu Wang , Bo Shen , Bo Hu , Xing Cao

Convolutional Neural Networks (CNNs) have achieved state-of-the-art performance in many computer vision tasks over the years. However, this comes at the cost of heavy computation and memory intensive network designs, suggesting potential…

计算机视觉与模式识别 · 计算机科学 2020-08-11 Kumara Kahatapitiya , Ranga Rodrigo

We prove rates of convergence in the statistical sense for kernel-based least squares regression using a conjugate gradient algorithm, where regularization against overfitting is obtained by early stopping. This method is directly related…

统计理论 · 数学 2010-09-30 Gilles Blanchard , Nicole Kraemer

Two dimensional (2D) peak finding is a common practice in data analysis for physics experiments, which is typically achieved by computing the local derivatives. However, this method is inherently unstable when the local landscape is…

数据分析、统计与概率 · 物理学 2020-04-22 Han Peng , Xiang Gao , Yu He , Yiwei Li , Yuchen Ji , Chuhang Liu , Sandy A. Ekahana , Ding Pei , Zhongkai Liu , Zhixun Shen , Yulin Chen

We present a novel approach to learn a kernel-based regression function. It is based on the useof conical combinations of data-based parameterized kernels and on a new stochastic convex optimization procedure of which we establish…

机器学习 · 计算机科学 2012-01-13 Pierre Machart , Thomas Peel , Liva Ralaivola , Sandrine Anthoine , Hervé Glotin

Deep convolutional neural networks (ConvNets) of 3-dimensional kernels allow joint modeling of spatiotemporal features. These networks have improved performance of video and volumetric image analysis, but have been limited in size due to…

计算机视觉与模式识别 · 计算机科学 2017-06-13 David Budden , Alexander Matveev , Shibani Santurkar , Shraman Ray Chaudhuri , Nir Shavit

Gaussian Processes (GPs) are known to provide accurate predictions and uncertainty estimates even with small amounts of labeled data by capturing similarity between data points through their kernel function. However traditional GP kernels…

机器学习 · 计算机科学 2021-11-16 Ankur Mallick , Chaitanya Dwivedi , Bhavya Kailkhura , Gauri Joshi , T. Yong-Jin Han