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Linear Programming (LP) is an important decoding technique for binary linear codes. However, the advantages of LP decoding, such as low error floor and strong theoretical guarantee, etc., come at the cost of high computational complexity…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Yi Wei , Ming-Min Zhao , Min-Jian Zhao , Ming Lei

Block coordinate descent (BCD) methods are widely used for large-scale numerical optimization because of their cheap iteration costs, low memory requirements, amenability to parallelization, and ability to exploit problem structure. Three…

Optimization and Control · Mathematics 2022-08-02 Julie Nutini , Issam Laradji , Mark Schmidt

Various networks are broadly and deeply applied in real-life applications. Reliability is the most important index for measuring the performance of all network types. Among the various algorithms, only implicit enumeration algorithms, such…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-21 Wei-Chang Yeh

Unrolling a decoding algorithm allows to achieve extremely high throughput at the cost of increased area. Look-up tables (LUTs) can be used to replace functions otherwise implemented as circuits. In this work, we show the impact of…

Information Theory · Computer Science 2024-09-04 Pascal Giard , Syed Aizaz Ali Shah , Alexios Balatsoukas-Stimming , Maximilian Stark , Gerhard Bauch

Binary embeddings provide efficient and powerful ways to perform operations on large scale data. However binary embedding typically requires long codes in order to preserve the discriminative power of the input space. Thus binary coding…

Data Structures and Algorithms · Computer Science 2015-12-08 Felix X. Yu , Aditya Bhaskara , Sanjiv Kumar , Yunchao Gong , Shih-Fu Chang

We present efficient circuits for the addition of binary numbers. We assume that we are given arrival times for all input bits and optimize the delay of the circuits, i.e.\ the time when the last output bit is computed. This contains the…

Logic in Computer Science · Computer Science 2024-09-11 Ulrich Brenner , Benjamin David Görg

Block coordinate descent (BCD) methods are prevalent in large scale optimization problems due to the low memory and computational costs per iteration, the predisposition to parallelization, and the ability to exploit the structure of the…

Optimization and Control · Mathematics 2025-10-31 Luis Briceño-Arias , Paulo Gonçalves , Guillaume Lauga , Nelly Pustelnik , Elisa Riccietti

Optimization tasks over relational data, such as clustering, often suffer from the prohibitive cost of join operations, which are necessary to access the full dataset. While geometric data structures like BBD trees yield fast approximation…

Databases · Computer Science 2026-03-13 Aryan Esmailpour , Stavros Sintos

This paper proposes a scalable binary CUR low-rank approximation algorithm that leverages parallel selection of representative rows and columns within a deterministic framework. By employing a blockwise adaptive cross approximation…

Numerical Analysis · Mathematics 2025-03-05 Bowen Su

Alphabetic codes and binary search trees are combinatorial structures that abstract search procedures in ordered sets endowed with probability distributions. In this paper, we design new linear-time algorithms to construct alphabetic codes,…

Information Theory · Computer Science 2024-07-24 Roberto Bruno , Roberto De Prisco , Alfredo De Santis , Ugo Vaccaro

Coded caching is a technique for achieving increased throughput in cached networks during peak hours. Placement delivery arrays (PDAs) capture both placement and delivery scheme requirements in coded caching in a single array. Lifting is a…

Information Theory · Computer Science 2023-05-11 V. R. Aravind , Pradeep Kiran Sarvepalli , Andrew Thangaraj

Modern societies have developed insatiable demands for more computation capabilities. Exploiting implicit parallelism to provide automatic performance improvement remains a central goal in engineering future general-purpose computing…

Hardware Architecture · Computer Science 2018-12-14 Sushant Kondguli , Michael Huang

An alphabetic binary tree formulation applies to problems in which an outcome needs to be determined via alphabetically ordered search prior to the termination of some window of opportunity. Rather than finding a decision tree minimizing…

Information Theory · Computer Science 2009-03-28 Michael B. Baer

The logarithmic and anti-logarithmic converters are realized with the piecewise linear approximation method, which is implemented by the shift-and-add architecture. This brief utilizes the similarities of Log and Antilog functions so that…

Signal Processing · Electrical Eng. & Systems 2020-11-13 Botao Xiong , Yuanfeng Sui

The section-carry based carry lookahead adder (SCBCLA) architecture was proposed as an efficient alternative to the conventional carry lookahead adder (CCLA) architecture for the physical implementation of computer arithmetic. In previous…

Hardware Architecture · Computer Science 2017-11-09 P Balasubramanian

In this work, we present a novel inner product design for stochastic computing. Stochastic computing is an emerging computing technique, that encodes a number in the probability of observing a one in a random bit stream. This leads to…

Emerging Technologies · Computer Science 2018-11-21 Werner Haselmayr , Daniel Wiesinger , Michael Lunglmayr

Binary codes are widely used to represent the data due to their small storage and efficient computation. However, there exists an ambiguity problem that lots of binary codes share the same Hamming distance to a query. To alleviate the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Zhenyu Weng , Yuesheng Zhu

In this paper, we propose to study and optimize a very general class of LDPC codes whose variable nodes belong to finite sets with different orders. We named this class of codes Hybrid LDPC codes. Although efficient optimization techniques…

Information Theory · Computer Science 2007-07-16 Lucile Sassatelli , David Declercq

Visual localization algorithms have achieved significant improvements in performance thanks to recent advances in camera technology and vision-based techniques. However, there remains one critical caveat: all current approaches that are…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Huu Le , Tuan Hoang , Michael Milford

An integer adder for integers in the binary representation is one of the basic operations of any digital processor. For adding two integers of N bits each, the serial adder takes as many clock ticks. For achieving higher speeds, parallel…

Hardware Architecture · Computer Science 2019-03-26 Duggirala Meher Krishna , Duggirala Ravi