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In this paper we introduce Neural Network Coding(NNC), a data-driven approach to joint source and network coding. In NNC, the encoders at each source and intermediate node, as well as the decoder at each destination node, are neural…

Information Theory · Computer Science 2021-01-12 Litian Liu , Amit Solomon , Salman Salamatian , Muriel Medard

This work provides an algebraic framework for source coding with decoder side information and its dual problem, channel coding with encoder side information, showing that nested concatenated codes can achieve the corresponding…

Information Theory · Computer Science 2012-04-25 Felipe Cinelli Barbosa , Joerg Kliewer , Max H. M. Costa

Despite recent successes in natural language processing and computer vision, Transformer suffers from the scalability problem when dealing with graphs. The computational complexity is unacceptable for large-scale graphs, e.g., knowledge…

Machine Learning · Computer Science 2022-02-23 Lingbing Guo , Qiang Zhang , Huajun Chen

The guessing number of a directed graph (digraph), equivalent to the entropy of that digraph, was introduced as a direct criterion on the solvability of a network coding instance. This paper makes two contributions on the guessing number.…

Information Theory · Computer Science 2015-03-17 Maximilien Gadouleau , Soren Riis

The paper introduces a new technique for compressing Binary Decision Diagrams in those cases where random access is not required. Using this technique, compression and decompression can be done in linear time in the size of the BDD and…

Artificial Intelligence · Computer Science 2008-12-18 Esben Rune Hansen , S. Srinivasa Rao , Peter Tiedemann

Machine transliteration is the process of automatically transforming the script of a word from a source language to a target language, while preserving pronunciation. Sequence to sequence learning has recently emerged as a new paradigm in…

Computation and Language · Computer Science 2016-09-15 Amir H. Jadidinejad

We consider the problem of embedding a dynamic network, to obtain time-evolving vector representations of each node, which can then be used to describe changes in behaviour of individual nodes, communities, or the entire graph. Given this…

Machine Learning · Statistics 2022-01-21 Ian Gallagher , Andrew Jones , Patrick Rubin-Delanchy

Disentangled distributed representations of data are desirable for machine learning, since they are more expressive and can generalize from fewer examples. However, for complex data, the distributed representations of multiple objects…

Machine Learning · Computer Science 2016-01-21 Klaus Greff , Rupesh Kumar Srivastava , Jürgen Schmidhuber

The CROCKER plot is a coarsened but easy to visualize representation of the data in a one-parameter varying family of persistence barcodes. In this paper, we use the CROCKER plot to view changes in the persistence under a varying…

Dynamical Systems · Mathematics 2022-04-14 İsmail Güzel , Elizabeth Munch , Firas Khasawneh

The construction of a channel code by using a source code with decoder side information is introduced. For the construction, any pair of encoder and decoder is available for a source code with decoder side information. A…

Information Theory · Computer Science 2017-04-18 Jun Muramatsu , Shigeki Miyake

In the presence of multiple senders, one of the simplest decoding strategies that can be employed by a receiver is successive decoding. In a successive decoding strategy, the receiver decodes the messages one at a time using the knowledge…

Information Theory · Computer Science 2012-07-04 Omar Fawzi , Ivan Savov

Sparse coding (SC) is an automatic feature extraction and selection technique that is widely used in unsupervised learning. However, conventional SC vectorizes the input images, which breaks apart the local proximity of pixels and destructs…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Fei Jiang , Xiao-Yang Liu , Hongtao Lu , Ruimin Shen

The problem of secure multiterminal source coding with side information at the eavesdropper is investigated. This scenario consists of a main encoder (referred to as Alice) that wishes to compress a single source but simultaneously…

Information Theory · Computer Science 2013-11-11 Joffrey Villard , Pablo Piantanida

A distribution matcher (DM) encodes a binary input data sequence into a sequence of symbols (codeword) with desired target probability distribution. The set of the output codewords constitutes a codebook (or code) of a DM.…

Information Theory · Computer Science 2019-05-06 Marcin Pikus , Wen Xu

Network coding theory studies the transmission of information in networks whose vertices may perform nontrivial encoding and decoding operations on data as it passes through the network. The main approach to deciding the feasibility of…

Information Theory · Computer Science 2010-01-12 Anna Blasiak , Robert Kleinberg

We propose an end-to-end recurrent encoder-decoder based sequence learning approach for printed text Optical Character Recognition (OCR). In contrast to present day existing state-of-art OCR solution which uses connectionist temporal…

Computer Vision and Pattern Recognition · Computer Science 2015-12-29 Devendra Kumar Sahu , Mohak Sukhwani

We consider the problem of encoding two-dimensional arrays, whose elements come from a total order, for answering \topk{} queries. The aim is to obtain encodings that use space close to the information-theoretic lower bound, which can be…

Data Structures and Algorithms · Computer Science 2021-07-13 Seungbum Jo , Srinivasa Rao Satti

The probabilistic graphs framework models the uncertainty inherent in real-world domains by means of probabilistic edges whose value quantifies the likelihood of the edge existence or the strength of the link it represents. The goal of this…

Artificial Intelligence · Computer Science 2012-05-25 Claudio Taranto , Nicola Di Mauro , Floriana Esposito

Graphs, consisting of vertices and edges, are vital for representing complex relationships in fields like social networks, finance, and blockchain. Visualizing these graphs helps analysts identify structural patterns, with readability…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Sanggeon Yun

Embedding methods such as word embedding have become pillars for many applications containing discrete structures. Conventional embedding methods directly associate each symbol with a continuous embedding vector, which is equivalent to…

Machine Learning · Computer Science 2017-12-12 Ting Chen , Martin Renqiang Min , Yizhou Sun
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