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Recent successes in word embedding and document embedding have motivated researchers to explore similar representations for networks and to use such representations for tasks such as edge prediction, node label prediction, and community…

Machine Learning · Statistics 2019-04-09 Mohammad Raihanul Islam , B. Aditya Prakash , Naren Ramakrishnan

In this paper, we introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally, of a poset representation. Like its unsigned counterpart…

Algebraic Topology · Mathematics 2024-08-23 Magnus Bakke Botnan , Steffen Oppermann , Steve Oudot

Low-Rank Parity-Check (LRPC) codes are a class of rank metric codes that have many applications specifically in network coding and cryptography. Recently, LRPC codes have been extended to Galois rings which are a specific case of finite…

Information Theory · Computer Science 2023-12-08 Hermann Tchatchiem Kamche , Hervé Talé Kalachi , Franck Rivel Kamwa Djomou , Emmanuel Fouotsa

Subspace identification methods (SIMs) have proven very powerful for estimating linear state-space models. To overcome the deficiencies of classical SIMs, a significant number of algorithms has appeared over the last two decades, where most…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Jiabao He , Cristian R. Rojas , Håkan Hjalmarsson

We introduce fair-density parity-check (FDPC) codes targeting high-rate applications. In particular, we start with a base parity-check matrix $H_b$ of dimension $2 \sqrt{n} \times n$, where $n$ is the code block length, and the number of…

Information Theory · Computer Science 2024-02-13 Hessam Mahdavifar

Practical random network coding based schemes for multicast include a header in each packet that records the transformation between the sources and the terminal. The header introduces an overhead that can be significant in certain…

Information Theory · Computer Science 2010-06-03 Shizheng Li , Aditya Ramamoorthy

The weighted-Hamming metric generalizes the Hamming metric by assigning different weights to blocks of coordinates. It is well-suited for applications such as coding over independent parallel channels, each of which has a different level of…

Information Theory · Computer Science 2026-01-21 Sebastian Bitzer , Alberto Ravagnani , Violetta Weger

Tensor codes are a generalisation of matrix codes. Such codes are defined as subspaces of order-r tensors for which the ambient space is endowed with the tensor-rank as a metric. A class of these codes was introduced by Roth, who also…

Information Theory · Computer Science 2026-05-14 Eimear Byrne , Alain Couvreur , Lucien François

In large-scale ranking systems, cascading architectures have been widely adopted to achieve a balance between efficiency and effectiveness. The pre-ranking module plays a vital role in selecting a subset of candidates for the subsequent…

Information Retrieval · Computer Science 2024-07-18 YaChen Yan , Liubo Li

Low-rank matrix approximation is one of the central concepts in machine learning, with applications in dimension reduction, de-noising, multivariate statistical methodology, and many more. A recent extension to LRMA is called low-rank…

Machine Learning · Statistics 2021-09-24 Elena Tuzhilina , Trevor Hastie

We introduce denoiseR, an R package that provides a unified implementation of several state-of-the-art proposals for regularized low rank matrix estimation, along with automatic selection of the regularization parameters. We also extend…

Applications · Statistics 2018-08-09 Julie Josse , Sylvain Sardy , Stefan Wager

One of the major issues in signed networks is to use network structure to predict the missing sign of an edge. In this paper, we introduce a novel probabilistic approach for the sign prediction problem. The main characteristic of the…

Social and Information Networks · Computer Science 2018-02-20 Amin Javari , HongXiang Qiu , Elham Barzegaran , Mahdi Jalili , Kevin Chen-Chuan Chang

Data imbalance, in which a plurality of the data samples come from a small proportion of labels, poses a challenge in training deep neural networks. Unlike classification, in regression the labels are continuous, potentially boundless, and…

Machine Learning · Computer Science 2022-06-27 Yu Gong , Greg Mori , Frederick Tung

A new protograph-based framework for message passing (MP) decoding of low density parity-check (LDPC) codes with Hamming weight amplifiers (HWAs), which are used e.g. in the NIST post-quantum crypto candidate LEDAcrypt, is proposed. The…

Cryptography and Security · Computer Science 2020-02-10 Hannes Bartz , Emna Ben Yacoub , Lorenza Bertarelli , Gianluigi Liva

We investigate the problem of decoding a bar code from a signal measured with a hand-held laser-based scanner. Rather than formulating the inverse problem as one of binary image reconstruction, we instead incorporate the symbology of the…

Numerical Analysis · Mathematics 2012-10-29 Mark Iwen , Fadil Santosa , Rachel Ward

Error syndromes for heavy hexagonal code and other topological codes such as surface code have typically been decoded by using Minimum Weight Perfect Matching (MWPM) based methods. Recent advances have shown that topological codes can be…

Joint encryption-encoding schemes have been released to fulfill both reliability and security desires in a single step. Using Low Density Parity Check (LDPC) codes in joint encryption-encoding schemes, as an alternative to classical linear…

Information Theory · Computer Science 2019-02-22 Hossein Khayami , Taraneh Eghlidos , Mohammad Reza Aref

Ordered statistics decoding has been instrumental in addressing decoding failures that persist after normalized min-sum decoding in short low-density parity-check codes. Despite its benefits, the high computational complexity of effective…

Information Theory · Computer Science 2025-06-23 Guangwen Li , Xiao Yu

A novel pseudocode search engine is designed to facilitate efficient retrieval and search of academic papers containing pseudocode. By leveraging Elasticsearch, the system enables users to search across various facets of a paper, such as…

Information Retrieval · Computer Science 2024-11-20 Levent Toksoz , Mukund Srinath , Gang Tan , C. Lee Giles

In this paper, we propose an efficient and scalable low rank matrix completion algorithm. The key idea is to extend orthogonal matching pursuit method from the vector case to the matrix case. We further propose an economic version of our…

Machine Learning · Computer Science 2014-04-17 Zheng Wang , Ming-Jun Lai , Zhaosong Lu , Wei Fan , Hasan Davulcu , Jieping Ye
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