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Random Linear Network Coding (RLNC) has emerged as a powerful tool for robust high-throughput multicast. Projection analysis - a recently introduced technique - shows that the distributed packetized RLNC protocol achieves (order) optimal…

Information Theory · Computer Science 2011-02-17 Bernhard Haeupler , Muriel Médard

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

Optimization and Control · Mathematics 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

This paper discusses distributed approaches for the solution of random convex programs (RCP). RCPs are convex optimization problems with a (usually large) number N of randomly extracted constraints; they arise in several applicative areas,…

Optimization and Control · Mathematics 2012-07-27 Luca Carlone , Vaibhav Srivastava , Francesco Bullo , Giuseppe Calafiore

Deep Neural Networks (DNNs) have shown unparalleled achievements in numerous applications, reflecting their proficiency in managing vast data sets. Yet, their static structure limits their adaptability in ever-changing environments. This…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Yunjie Zhu , Yunhao Chen

We apply linear network coding (LNC) to broadcast a block of data packets from one sender to a set of receivers via lossy wireless channels, assuming each receiver already possesses a subset of these packets and wants the rest. We aim to…

Information Theory · Computer Science 2018-02-09 Mingchao Yu , Alex Sprintson , Parastoo Sadeghi

This paper introduces an adaptive convolutional neural network (CNN) architecture capable of automating various topology optimization (TO) problems with diverse underlying physics. The proposed architecture has an encoder-decoder-type…

Computational Engineering, Finance, and Science · Computer Science 2024-04-19 Khaish Singh Chadha , Prabhat Kumar

Convolutional Neural Networks (CNN) have been pivotal to the success of many state-of-the-art classification problems, in a wide variety of domains (for e.g. vision, speech, graphs and medical imaging). A commonality within those domains is…

Machine Learning · Computer Science 2019-12-02 Rohan Ghosh , Anupam K. Gupta , Mehul Motani

Conventional neural architectures for sequential data present important limitations. Recurrent networks suffer from exploding and vanishing gradients, small effective memory horizons, and must be trained sequentially. Convolutional networks…

Machine Learning · Computer Science 2022-03-18 David W. Romero , Anna Kuzina , Erik J. Bekkers , Jakub M. Tomczak , Mark Hoogendoorn

A single source network is said to be memory-free if all of the internal nodes (those except the source and the sinks) do not employ memory but merely send linear combinations of the symbols received at their incoming edges on their…

Information Theory · Computer Science 2009-09-09 K. Prasad , B. Sundar Rajan

The convolutional neural network (CNN) is one of the most commonly used architectures for computer vision tasks. The key building block of a CNN is the convolutional kernel that aggregates information from the pixel neighborhood and shares…

Image and Video Processing · Electrical Eng. & Systems 2022-02-08 Tianyu Ma , Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu

Circular-shift linear network coding (LNC) is a class of vector LNC with local encoding kernels selected from cyclic permutation matrices, so that it has low coding complexities. However, it is insufficient to exactly achieve the capacity…

Information Theory · Computer Science 2024-12-24 Sheng Jin , Zhe Zhai , Qifu Tyler Sun , Zongpeng Li

Change point detection (CPD) and anomaly detection (AD) are essential techniques in various fields to identify abrupt changes or abnormal data instances. However, existing methods are often constrained to univariate data, face scalability…

Random network coding recently attracts attention as a technique to disseminate information in a network. This paper considers a non-coherent multi-shot network, where the unknown and time-variant network is used several times. In order to…

Information Theory · Computer Science 2016-11-17 Antonia Wachter-Zeh , Markus Stinner , Vladimir Sidorenko

We present an optimal method for encoding cluster assignments of arbitrary data sets. Our method, Random Cycle Coding (RCC), encodes data sequentially and sends assignment information as cycles of the permutation defined by the order of…

Machine Learning · Computer Science 2024-12-03 Daniel Severo , Ashish Khisti , Alireza Makhzani

Chunked codes are efficient random linear network coding (RLNC) schemes with low computational cost, where the input packets are encoded into small chunks (i.e., subsets of the coded packets). During the network transmission, RLNC is…

Information Theory · Computer Science 2015-03-27 Bin Tang , Shenghao Yang , Baoliu Ye , Yitong Yin , Sanglu Lu

Spectral graph convolutional neural networks (CNNs) require approximation to the convolution to alleviate the computational complexity, resulting in performance loss. This paper proposes the topology adaptive graph convolutional network…

Machine Learning · Computer Science 2018-02-13 Jian Du , Shanghang Zhang , Guanhang Wu , Jose M. F. Moura , Soummya Kar

Understanding how convolutional neural networks (CNNs) can efficiently learn high-dimensional functions remains a fundamental challenge. A popular belief is that these models harness the local and hierarchical structure of natural data such…

Machine Learning · Statistics 2023-06-02 Francesco Cagnetta , Alessandro Favero , Matthieu Wyart

Video coding is a critical step in all popular methods of streaming video. Marked progress has been made in video quality, compression, and computational efficiency. Recently, there has been an interest in finding ways to apply techniques…

Image and Video Processing · Electrical Eng. & Systems 2019-05-14 Everett Fall , Kai-wei Chang , Liang-Gee Chen

Transformers have shown great potential in various computer vision tasks. By borrowing design concepts from transformers, many studies revolutionized CNNs and showed remarkable results. This paper falls in this line of studies.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Ruihan Xu , Haokui Zhang , Wenze Hu , Shiliang Zhang , Xiaoyu Wang

Following the traditional paradigm of convolutional neural networks (CNNs), modern CNNs manage to keep pace with more recent, for example transformer-based, models by not only increasing model depth and width but also the kernel size. This…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Paul Gavrikov , Janis Keuper