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Estimating depth from a single RGB image is an ill-posed and inherently ambiguous problem. State-of-the-art deep learning methods can now estimate accurate 2D depth maps, but when the maps are projected into 3D, they lack local detail and…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Jun Li , Reinhard Klein , Angela Yao

We consider the source-channel separation architecture for lossy source coding in communication networks. It is shown that the separation approach is optimal in two general scenarios, and is approximately optimal in a third scenario. The…

Information Theory · Computer Science 2013-12-04 Chao Tian , Jun Chen , Suhas Diggavi , Shlomo Shamai

Recent work by Google DeepMind introduced assembly-optimized sorting networks that achieve faster performance for small fixed-size arrays (3-8). In this research, we investigate the integration of these networks as base cases in classical…

Data Structures and Algorithms · Computer Science 2026-04-29 Anas Gamal Aly , Anders E. Jensen , Hala ElAarag

In this paper, we propose a simple yet effective method to stabilize extremely deep Transformers. Specifically, we introduce a new normalization function (DeepNorm) to modify the residual connection in Transformer, accompanying with…

Computation and Language · Computer Science 2022-03-02 Hongyu Wang , Shuming Ma , Li Dong , Shaohan Huang , Dongdong Zhang , Furu Wei

Latest algorithms for automatic neural architecture search perform remarkable but few of them can effectively design the number of channels for convolutional neural networks and consume less computational efforts. In this paper, we propose…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Hui Zhu , Zhulin An , Chuanguang Yang , Xiaolong Hu , Kaiqiang Xu , Yongjun Xu

We derive upper bounds on the complexity of ReLU neural networks approximating the solution of a linear system given the matrix and the right-hand side. We focus on matrices which are symmetric positive definite and sparse, as they appear…

Numerical Analysis · Mathematics 2026-03-20 Benjamin Dörich , Roland Maier , Lukas Ullmer

Bit-depth is the number of bits for each color channel of a pixel in an image. Although many modern displays support unprecedented higher bit-depth to show more realistic and natural colors with a high dynamic range, most media sources are…

Image and Video Processing · Electrical Eng. & Systems 2019-10-11 Junyoung Byun , Kyujin Shim , Changick Kim

Residual Networks with convolutional layers are widely used in the field of machine learning. Since they effectively extract features from input data by stacking multiple layers, they can achieve high accuracy in many applications. However,…

Machine Learning · Computer Science 2019-06-11 Yasutoshi Ida , Yasuhiro Fujiwara

We study scalar-linear and vector-linear solutions to the generalized combination network. We derive new upper and lower bounds on the maximum number of nodes in the middle layer, depending on the network parameters. These bounds improve…

Information Theory · Computer Science 2020-05-13 Hedongliang Liu , Hengjia Wei , Sven Puchinger , Antonia Wachter-Zeh , Moshe Schwartz

The Sentinel-2 satellite mission delivers multi-spectral imagery with 13 spectral bands, acquired at three different spatial resolutions. The aim of this research is to super-resolve the lower-resolution (20 m and 60 m Ground Sampling…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Charis Lanaras , José Bioucas-Dias , Silvano Galliani , Emmanuel Baltsavias , Konrad Schindler

Aiming to improve the checkerboard corner detection robustness against the images with poor quality, such as lens distortion, extreme poses, and noise, we propose a novel detection algorithm which can maintain high accuracy on inputs under…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Ben Chen , Caihua Xiong , Qi Zhang

A large fraction of the arithmetic operations required to evaluate deep neural networks (DNNs) consists of matrix multiplications, in both convolution and fully connected layers. We perform end-to-end learning of low-cost approximations of…

Machine Learning · Computer Science 2018-06-11 Michael Tschannen , Aran Khanna , Anima Anandkumar

Despite their prevalence, deep networks are poorly understood. This is due, at least in part, to their highly parameterized nature. As such, while certain structures have been found to work better than others, the significance of a model's…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Theodore S. Nowak , Jason J. Corso

Recently, very deep convolutional neural networks (CNNs) have shown outstanding performance in object recognition and have also been the first choice for dense classification problems such as semantic segmentation. However, repeated…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Guosheng Lin , Anton Milan , Chunhua Shen , Ian Reid

We show that deep networks are better than shallow networks at approximating functions that can be expressed as a composition of functions described by a directed acyclic graph, because the deep networks can be designed to have the same…

Machine Learning · Computer Science 2019-11-26 H. N. Mhaskar , T. Poggio

In the context of scene understanding, a variety of methods exists to estimate different information channels from mono or stereo images, including disparity, depth, and normals. Although several advances have been reported in the recent…

Computer Vision and Pattern Recognition · Computer Science 2017-05-29 Paul Guerrero , Holger Winnemöller , Wilmot Li , Niloy J. Mitra

Neural networks with rectified linear unit activations are essentially multivariate linear splines. As such, one of many ways to measure the "complexity" or "expressivity" of a neural network is to count the number of knots in the spline…

Machine Learning · Statistics 2016-12-01 Kevin K. Chen

A transmitter without channel state information (CSI) wishes to send a delay-limited Gaussian source over a slowly fading channel. The source is coded in superimposed layers, with each layer successively refining the description in the…

Information Theory · Computer Science 2009-09-29 Chris T. K. Ng , Deniz Gunduz , Andrea J. Goldsmith , Elza Erkip

Convolutional Neural Network (CNN) has an amount of parameter redundancy, filter pruning aims to remove the redundant filters and provides the possibility for the application of CNN on terminal devices. However, previous works pay more…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Pengkun Liu , Yaru Yue , Yanjun Guo , Xingxiang Tao , Xiaoguang Zhou

Latent Euclidean embedding models a given network by representing each node in a Euclidean space, where the probability of two nodes sharing an edge is a function of the distances between the nodes. This implies that for two nodes to share…

Social and Information Networks · Computer Science 2019-09-19 Clifford Anderson-Bergman , Phan Nguyen , Jose Cadena Pico