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Previous works proved that the combination of the linear neuron network with nonlinear activation functions (e.g. ReLu) can achieve nonlinear function approximation. However, simply widening or deepening the network structure will introduce…

Networking and Internet Architecture · Computer Science 2020-11-24 Zirui Xu , Jinjun Xiong , Fuxun Yu , Xiang Chen

We address the problem of determining correspondences between two images in agreement with a geometric model such as an affine or thin-plate spline transformation, and estimating its parameters. The contributions of this work are…

Computer Vision and Pattern Recognition · Computer Science 2017-04-17 Ignacio Rocco , Relja Arandjelović , Josef Sivic

If the training dataset is not very large, image recognition is usually implemented with the transfer learning methods. In these methods the features are extracted using a deep convolutional neural network, which was preliminarily trained…

Computer Vision and Pattern Recognition · Computer Science 2017-08-10 Andrey Savchenko

We introduce an algorithm where the individual bits representing the weights of a neural network are learned. This method allows training weights with integer values on arbitrary bit-depths and naturally uncovers sparse networks, without…

Machine Learning · Computer Science 2022-02-22 Cristian Ivan

In a neural network with ReLU activations, the number of piecewise linear regions in the output can grow exponentially with depth. However, this is highly unlikely to happen when the initial parameters are sampled randomly, which therefore…

Machine Learning · Computer Science 2025-10-17 Max Milkert , David Hyde , Forrest Laine

We consider the problem of neural association for a network of non-binary neurons. Here, the task is to first memorize a set of patterns using a network of neurons whose states assume values from a finite number of integer levels. Later,…

Neural and Evolutionary Computing · Computer Science 2013-02-18 Amir Hesam Salavati , K. Raj Kumar , Amin Shokrollahi

Convolutional neural networks (CNNs) handle the case where filters extend beyond the image boundary using several heuristics, such as zero, repeat or mean padding. These schemes are applied in an ad-hoc fashion and, being weakly related to…

Computer Vision and Pattern Recognition · Computer Science 2018-05-09 Carlo Innamorati , Tobias Ritschel , Tim Weyrich , Niloy J. Mitra

Nonlinear regression has been extensively employed in many computer vision problems (e.g., crowd counting, age estimation, affective computing). Under the umbrella of deep learning, two common solutions exist i) transforming nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Le Zhang , Zenglin Shi , Ming-Ming Cheng , Yun Liu , Jia-Wang Bian , Joey Tianyi Zhou , Guoyan Zheng , Zeng Zeng

Non-local self-similarity is well-known to be an effective prior for the image denoising problem. However, little work has been done to incorporate it in convolutional neural networks, which surpass non-local model-based methods despite…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Diego Valsesia , Giulia Fracastoro , Enrico Magli

The highly non-linear nature of deep neural networks causes them to be susceptible to adversarial examples and have unstable gradients which hinders interpretability. However, existing methods to solve these issues, such as adversarial…

Machine Learning · Computer Science 2023-01-11 Suraj Srinivas , Kyle Matoba , Himabindu Lakkaraju , Francois Fleuret

Photoelastic techniques have a long tradition in both qualitative and quantitative analysis of the stresses in granular materials. Over the last two decades, computational methods for reconstructing forces between particles from their…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Renat Sergazinov , Miroslav Kramar

We propose a novel nonparametric regression framework subject to the positive definiteness constraint. It offers a highly modular approach for estimating covariance functions of stationary processes. Our method can impose positive…

Methodology · Statistics 2023-04-27 Myeongjong Kang

We consider neural networks with a single hidden layer and non-decreasing homogeneous activa-tion functions like the rectified linear units. By letting the number of hidden units grow unbounded and using classical non-Euclidean…

Machine Learning · Computer Science 2016-11-01 Francis Bach

Convolutional neural networks are state-of-the-art for various segmentation tasks. While for 2D images these networks are also computationally efficient, 3D convolutions have huge storage requirements and therefore, end-to-end training is…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Christoph Angermann , Markus Haltmeier

Neural networks can emulate nonlinear physical systems with high accuracy, yet they may produce physically-inconsistent results when violating fundamental constraints. Here, we introduce a systematic way of enforcing nonlinear analytic…

Computational Physics · Physics 2021-03-10 Tom Beucler , Michael Pritchard , Stephan Rasp , Jordan Ott , Pierre Baldi , Pierre Gentine

To compress deep convolutional neural networks (CNNs) with large memory footprint and long inference time, this paper proposes a novel pruning criterion using layer-wised Ln-norm of feature maps. Different from existing pruning criteria,…

Neural and Evolutionary Computing · Computer Science 2018-12-11 Wei Wang , Liqiang Zhu

Minimal changes to neural architectures (e.g. changing a single hyperparameter in a key layer), can lead to significant gains in predictive performance in Convolutional Neural Networks (CNNs). In this work, we present a new approach to…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Mats L. Richter , Christopher Pal

The method presented extends a given regression neural network to make its performance improve. The modification affects the learning procedure only, hence the extension may be easily omitted during evaluation without any change in…

Machine Learning · Computer Science 2016-12-07 Konrad Zolna

We present an alternative layer to convolution layers in convolutional neural networks (CNNs). Our approach reduces the complexity of convolutions by replacing it with binary decisions. Those binary decisions are used as indexes to…

Machine Learning · Computer Science 2020-02-12 Wolfgang Fuhl , Gjergji Kasneci , Wolfgang Rosenstiel , Enkelejda Kasneci

Neural networks that process the parameters of other neural networks find applications in domains as diverse as classifying implicit neural representations, generating neural network weights, and predicting generalization errors. However,…