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A hypercomplex representation of DNA is proposed to facilitate comparison of DNA sequences with fuzzy composition. Using hypercomplex number representation, conventional sequence analysis method, such as, dot matrix analysis, dynamic…

定量方法 · 定量生物学 2023-08-03 Jian-Jun Shu , Yajing Li

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

We present a new algorithmic paradigm for the decentralized solution of graph-structured optimization problems that arise in the estimation and control of network systems. A key and novel design concept of the proposed approach is that it…

最优化与控制 · 数学 2020-04-01 Sungho Shin , Victor M. Zavala , Mihai Anitescu

The cross-depiction problem is that of recognising visual objects regardless of whether they are photographed, painted, drawn, etc. It is a potentially significant yet under-researched problem. Emulating the remarkable human ability to…

计算机视觉与模式识别 · 计算机科学 2015-05-04 Hongping Cai , Qi Wu , Tadeo Corradi , Peter Hall

In medicine, visualizing chromosomes is important for medical diagnostics, drug development, and biomedical research. Unfortunately, chromosomes often overlap and it is necessary to identify and distinguish between the overlapping…

计算机视觉与模式识别 · 计算机科学 2017-12-21 R. Lily Hu , Jeremy Karnowski , Ross Fadely , Jean-Patrick Pommier

This paper presents a novel approach to network coding for distribution of large files. Instead of the usual approach of splitting packets into disjoint classes (also known as generations) we propose the use of overlapping classes. The…

信息论 · 计算机科学 2019-05-07 Danilo Silva , Weifei Zeng , Frank R. Kschischang

Local decoders, also known as cellular-automaton decoders, offer a promising path toward real-time quantum error correction by replacing centralized classical decoding, with inherent hardware constraints, by a natively parallel and…

量子物理 · 物理学 2025-09-17 Louis Paletta , Anthony Leverrier , Mazyar Mirrahimi , Christophe Vuillot

In most computer vision and image analysis problems, it is necessary to define a similarity measure between two or more different objects or images. Template matching is a classic and fundamental method used to score similarities between…

计算机视觉与模式识别 · 计算机科学 2016-10-25 Nazanin Sadat Hashemi , Roya Babaie Aghdam , Atieh Sadat Bayat Ghiasi , Parastoo Fatemi

Sequences of nucleotides (for DNA and RNA) or amino acids (for proteins) are central objects in biology. Among the most important computational problems is that of sequence alignment, i.e. arranging sequences from different organisms in…

定量方法 · 定量生物学 2020-12-08 Anna Paola Muntoni , Andrea Pagnani , Martin Weigt , Francesco Zamponi

In programming, protocols are everywhere. Protocols describe the pattern of interaction (or communication) between software systems, for example, between a user-space program and the kernel or between a local application and an online…

编程语言 · 计算机科学 2022-11-08 Laura Bocchi , Dominic Orchard , A. Laura Voinea

In genomics, pattern matching against a sequence of nucleotides plays a pivotal role for DNA sequence alignment and comparing genomes. This helps tackling some diseases, such as cancer in humans. The complexity of searching biological…

定量方法 · 定量生物学 2017-10-04 Fereshte Mozafari , Hossein Babashah , Somayyeh Koohi , Zahra Kavehvash

Decoding algorithms are essential to fault-tolerant quantum-computing architectures. In this perspective we explore decoding algorithms for the surface code; a prototypical quantum low-density parity-check code that underlies many of the…

量子物理 · 物理学 2024-02-29 Benjamin J. Brown

The field of molecular excitons and related supramolecular systems has largely focused on aggregates where nearest-neighbour couplings dominate. We propose that radically different states can be produced by moving beyond that paradigm. In…

化学物理 · 物理学 2025-02-04 Gregory D. Scholes

We study finite-sum nonlinear programs with localized variable coupling encoded by a (hyper)graph. We introduce a graph-compliant decomposition framework that brings message passing into continuous optimization in a rigorous, implementable,…

最优化与控制 · 数学 2026-01-19 Kuangyu Ding , Marie Maros , Gesualdo Scutari

The primary structure of a ribonucleic acid (RNA) molecule can be represented as a sequence of nucleotides (bases) over the alphabet {A, C, G, U}. The secondary or tertiary structure of an RNA is a set of base pairs which form bonds between…

数据结构与算法 · 计算机科学 2015-01-05 Shihyen Chen , Zhuozhi Wang , Kaizhong Zhang

This paper presents a method that improve state-of-the-art of the concave point detection methods as a first step to segment overlapping objects on images. It is based on the analysis of the curvature of the objects contour. The method has…

计算机视觉与模式识别 · 计算机科学 2022-01-11 Miquel Miró-Nicolau , Biel Moyà-Alcover , Manuel Gonzàlez-Hidalgo , Antoni Jaume-i-Capó

This paper concerns non-overlapping codes, block codes motivated by synchronisation and DNA-based storage applications. Most existing constructions of these codes do not account for the restrictions posed by the physical properties of…

信息论 · 计算机科学 2025-02-05 Lidija Stanovnik , Miha Moškon , Miha Mraz

Overlapping clusters are common in models of many practical data-segmentation applications. Suppose we are given $n$ elements to be clustered into $k$ possibly overlapping clusters, and an oracle that can interactively answer queries of the…

机器学习 · 计算机科学 2019-10-29 Wasim Huleihel , Arya Mazumdar , Muriel Médard , Soumyabrata Pal

Hypergraphs provide a powerful framework for modeling complex systems and networks with higher-order interactions beyond simple pairwise relationships. However, graph-based clustering approaches, which focus primarily on pairwise relations,…

社会与信息网络 · 计算机科学 2025-07-16 Giuseppe F. Italiano , Athanasios L. Konstantinidis , Anna Mpanti , Fariba Ranjbar

Most of the current understanding of structure-property relations at the molecular and the supramolecular scales can be formulated in terms of the stability of and the interactions between a limited number of recurring structural motifs…

化学物理 · 物理学 2018-01-29 Piero Gasparotto , Robert Horst Meißner , Michele Ceriotti