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An algorithm for the distance between two finite sequences

Peter H Sellers
1974 Journal of combinatorial theory. Series A
THE ALGORITHM In a biological problem, which will be described later, it is necessary to compute the distance or degree of dissimilarity between two finite sequences.  ...  A mathematical definition of this distance was brought to my attention by S. M. Ulam, and an algorithm for computing it will be presented here.  ...  THE ALGORITHM In a biological problem, which will be described later, it is necessary to compute the distance or degree of dissimilarity between two finite sequences.  ...

Generalised distances of sequences II: B-distances with weight sequences

Benedek Nagy
2019 Filomat
By assigning various weights to the elements of the sequences the concept is further generalized. An algorithm is presented which provides a shortest path between two sequences.  ...  The general neighbourhood sequences were introduced for measuring distances in digital geometry (Z n ), and the theory was recently extended for application to sequences.  ...  Acknowledgement The author is grateful to Zs. Páles, Z. Boros and A. Gilányi and the anonymous reviewer for their valuable remarks.  ...

Generalised distances of sequences I: \$B\$-distances

Benedek Nagy
2018 Miskolc Mathematical Notes
We extend their application to sequences, and present an algorithm which provides a shortest path between two sequences.  ...  We also present a formula to calculate the B-distance of any two sequences for a neighbourhood sequence B.  ...  In the third section, we present an algorithm to solve the shortest path problem between any two sequences. In section four, we describe some properties of B-distances.  ...

Pattern recognition in genetic sequences

P. H. Sellers
1979 Proceedings of the National Academy of Sciences of the United States of America
This paper announces an algorithm for finding pattern similarities between two given finite sequences.  ...  Two portions, one from each sequence, are similar if they are close in the metric space of evolutionary distances.  ...  Recognition of a given pattern There is a known dynamic programming algorithm (ref. 1) for computing the evolutionary distance between two finite sequences.  ...

A Comparative Study on String Matching Algorithm of Biological Sequences [article]

Pandiselvam.P, Marimuthu.T, Lawrance.R
2014 arXiv   pre-print
For this study, we have assessed the performance of algorithms tested with biological sequences.  ...  For that, the researcher is supposed to aware of similarities on the biological sequences.  ...  The distance itself gives the number of mismatches between the variables paired by k. the distance is applied to the biological sequences for finding minimum no of substitutions for changing one sequence  ...

Refolding Planar Polygons

Hayley N. Iben, James F. O'Brien, Erik D. Demaine
2009 Discrete & Computational Geometry
This paper describes an algorithm for generating a guaranteed intersectionfree interpolation sequence between any pair of compatible polygons.  ...  The computational machinery that ensures against self-intersection is independent from a distance metric that determines the overall character of the interpolation sequence.  ...  Okawa Foundation, and the Alfred P.  ...

Refolding planar polygons

Hayley N. Iben, James F. O'Brien, Erik D. Demaine
2006 Proceedings of the twenty-second annual symposium on Computational geometry - SCG '06
This paper describes an algorithm for generating a guaranteed intersectionfree interpolation sequence between any pair of compatible polygons.  ...  The computational machinery that ensures against self-intersection is independent from a distance metric that determines the overall character of the interpolation sequence.  ...  Okawa Foundation, and the Alfred P.  ...

Refolding planar polygons

Hayley N. Iben, James F. O'Brien, Erik D. Demaine
2004 ACM SIGGRAPH 2004 Sketches on - SIGGRAPH '04
This paper describes an algorithm for generating a guaranteed intersectionfree interpolation sequence between any pair of compatible polygons.  ...  The computational machinery that ensures against self-intersection is independent from a distance metric that determines the overall character of the interpolation sequence.  ...  Okawa Foundation, and the Alfred P.  ...

Tracking orthogonal vanishing points in video sequences for a reliable camera orientation in Manhattan World

Wael Elloumi, Sylvie Treuillet, Remy Leconge
2012 2012 5th International Congress on Image and Signal Processing
This paper proposes an algorithm pipeline for estimating the camera orientation based on vanishing points computation targeting pedestrian navigation assistance in Manhattan World.  ...  Experiments on real images and video sequences show that the proposed heuristic strategy for selecting orthogonal vanishing points is pertinent as our algorithm gives better results than the recently published  ...  ACKNOWLEDGMENT This study is supported by HERON Technologies SAS and the Conseil Général du LOIRET.  ...

Behavioral Learning of Aircraft Landing Sequencing Using a Society of Probabilistic Finite State Machines [article]

Jiangjun Tang, Hussein A. Abbass
2018 arXiv   pre-print
The approach relies on a genetic algorithm (GA) to learn these sequences using a society Probabilistic Finite-state Machines (PFSMs).  ...  Three sequence metrics (Levenshtein, Hamming and Position distances) are compared as the fitness functions in GA.  ...  ACKNOWLEDGEMENT This work has been funded by the Australian Research Council (ARC) discovery grant number, DP140102590: Challenging systems to discover vulnerabilities using computational red teaming.  ...

Approximation Metrics for Discrete and Continuous Systems

Antoine Girard, George J. Pappas
2007 IEEE Transactions on Automatic Control
distance between the systems.  ...  We define a hierarchy of approximation pseudo-metrics between two systems that quantify the quality of the approximation, and capture the established exact relationships as zero sections.  ...  For any external trajectory of the system , we can find an external trajectory of the system , with the same sequence of labels, such that the distance between the observations of the two systems remains  ...

Learning from Uncertain Data [chapter]

Mehryar Mohri
2003 Lecture Notes in Computer Science
kernels, and describe a general algorithm for computing them efficiently.  ...  The application of statistical methods to natural language processing has been remarkably successful over the past two decades.  ...  between two languages, the sets of sequences accepted by two automata and provide an efficient algorithm for its computation.  ...

Page 4201 of Mathematical Reviews Vol. , Issue 2001F [page]

2001 Mathematical Reviews
for functions and relations, (4) finding sequences for automata identification or testing (such as homing sequences, synchronizing sequences, etc.), (5) conversions between different representations (  ...  We give a sequential algorithm for this problem, and show how to obtain an NC algorithm running in O(log) time using  ...

Linear-Space Computation of the Edit-Distance between a String and a Finite Automaton [article]

Cyril Allauzen, Mehryar Mohri
2009 arXiv   pre-print
This paper presents linear-space algorithms for computing the edit-distance between a string and an arbitrary weighted automaton over the tropical semiring, or an unambiguous weighted automaton over an  ...  The problem of computing the edit-distance between a string and a finite automaton arises in a variety of applications in computational biology, text processing, and speech recognition.  ...  We presented general algorithms for computing in linear space both the editdistance between a string and a finite automaton and their optimal alignment.  ...

Top-Down Tree Edit-Distance of Regular Tree Languages [chapter]

Sang-Ki Ko, Yo-Sub Han, Kai Salomaa
2014 Lecture Notes in Computer Science
The edit-distance is a metric for measuring the similarity or dissimilarity between two objects, and a regular tree language is a set of trees accepted by a finite-state tree automaton or described by  ...  We also suggest how to use the edit-distance between two tree languages for identifying a special common string between two context-free grammars.  ...  For the edit-distance between two unranked TAs of sizes m and n, we have designed an O(m 2 n 2 log mn) algorithm.  ...
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