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AN AGENT–ORIENTED ELECTRONIC MARKETPLACE FOR MODELING AND SIMULATION OF ...
By: Jacek Jakieła, Paweł Litwin, Marcin Olech
(5000 reads)
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Abstract: The main goal of the research that preliminary results have been presented in
this paper is to develop an agent–oriented electronic marketplace for modeling and
simulation of dynamic pricing models, i.e. models in which the price of the item is allowed
to fluctuate as supply and demand in a market change. The work provides an overview of
forms of dynamic pricing models, with particular emphasis on auctions. After that,
the main rationale behind using Multi-agent Systems approach for modeling and
simulation of complex business structures has been shown. Then the development
process of an electronic marketplace, including agents’ architecture as well as
implementation environment selection, structure and business logic of e-marketplace
have been presented. Last part of the paper comprises conclusions and further research
plans.
Keywords: Agent-Based? Models, Simulation for MAS development, Agent-oriented
Marketplace Design, Multi Agent Based Modeling and Simulation, Dynamic Pricing
Models
ACM Classification Keywords: I. Computing Methodologies; I.2 Artificial Intelligence;
I.2.11 Distributed Artificial Intelligence; Multi-Agent? Systems
Link:
AN AGENT–ORIENTED ELECTRONIC MARKETPLACE FOR
MODELING AND SIMULATION OF DYNAMIC PRICING MODELS
BUSINESS LOGIC
Jacek Jakieła, Paweł Litwin, Marcin Olech
http://www.foibg.com/ibs_isc/ibs-26/ibs-26-p08.pdf
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ENHANCED TECHNOLOGY OF EFFICIENT INTERNET RETRIEVAL FOR RELEVANT ...
By: Vyacheslav Zosimov, Volodymyr Stepashko, Oleksandra Bulgako
(3847 reads)
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Abstract: The developed technology consists of three main stages: collection of
information from a search engine; sifting irrelevant information by the pre-selected
features; ranking the obtained results by relevance to a user's request. The ranking model
is built with the usage of inductive1 GMDH algorithms. The article describes
the effectiveness investigation of the developed technology improving the search
relevance of target information on the Internet compared with the Google search engines.
When studying, three experiments were conducted with one search request chosen for
each experiment. The search results for every request obtained from Google were
subsequently processed with the developed technology.
The first 100 sites from Google SERP were analyzed to compare the relevance level of
Google search and that provided with our technology. Outcomes of the experiments are
given in the form of circle diagrams showing the percentage of different types of sites in
the search results before and after processing it using the proposed technology.
The research demonstrates higher effectiveness of the proposed technology compared to
Google search: the developed technology allows achieving the search relevance at
the level of 80%. Application of this technology will enable more convenient and relevant
search of target information on the Internet.
Keywords: Information search, target information, search engine, search relevance,
inductive modeling.
ACM Classification Keywords: H.3.5 Information Search and Retrieval - Information
Filtering; H.3.5 Online Information Services – Web-based Services
Link:
ENHANCED TECHNOLOGY OF EFFICIENT INTERNET RETRIEVAL
FOR RELEVANT INFORMATION USING INDUCTIVE PROCESSING
OF SEARCH RESULTS
Vyacheslav Zosimov, Volodymyr Stepashko, Oleksandra Bulgakova
http://www.foibg.com/ibs_isc/ibs-26/ibs-26-p07.pdf
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STORING RDF GRAPHS USING NL-ADDRESSING
By: Krassimira Ivanova, Vitalii Velychko, Krassimir Markov
(3831 reads)
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Abstract: NL-addressing is a possibility to access information using natural language
words as addresses of the information stored in the multi-dimensional numbered
information spaces. For this purpose the internal encoding of the letters is used to
generate corresponded co-ordinates. The tool for working in such style is named
OntoArM?. Its main principles, functions and using for storing RDF graphs are outlined in
this paper.
Keywords: NL-addressing, RDF graphs, ontology representations.
ACM Classification Keywords: D.4.2 Storage Management; E.2 Data Storage Representations.
Link:
STORING RDF GRAPHS USING NL-ADDRESSING
Krassimira Ivanova, Vitalii Velychko, Krassimir Markov
http://www.foibg.com/ibs_isc/ibs-26/ibs-26-p06.pdf
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BUILDING THE LIBRARY CATALOG SEARCH MODEL BASED ON THE FUZZY SIMILARITY ...
By: Liliya Vershinina, Mikhail Vershinin, Andrej Masevich
(4052 reads)
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Abstract: We describe our approach to building the model of the search in libraries’
catalogues based on the fuzzy similarity relation. To construct the model we carried out an
experimental search to the variants of name in the catalogs of two libraries - the German
National Library and the National Library of France. The model we constructed is based
on the result of our experiment.
Keywords: fuzzy similarity relation, names transliteration, authority control, library
catalogs
ACM Classification Keywords: H.3.6 Library Automation H.3.3, Information Search and
Retrieval, 1.5.1 Pattern recognition. Fuzzy set
Link:
BUILDING THE LIBRARY CATALOG SEARCH MODEL BASED ON
THE FUZZY SIMILARITY RELATION
Liliya Vershinina, Mikhail Vershinin, Andrej Masevich
http://www.foibg.com/ibs_isc/ibs-26/ibs-26-p05.pdf
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CLASSIFICATION OF PRIMARY MEDICAL RECORDS WITH RUBRYX-2: FIRST EXPERIENCE
By: Olga Kaurova, Mikhail Alexandrov, Ales Bourek
(4605 reads)
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Abstract: RUBRYX is a document classifier developed in 2000s for processing large
volumes of Web information. RUBRYX uses weighted sum of n-grams (n=1,2,3) extracted
from a very limited number of samples (about 5-10) and takes into account their mutual
position in a given text. This sophisticated algorithm proves to be very effective in
classifying primary medical records presented in a free text form. In the paper we study
possibilities of RUBRYX (version 2.2) on a limited document set in Spanish.
These documents are medical histories related to stomach diseases. Such area should be
considered as a narrow subset of medical records. The high quality of archived results
(accuracy 80%-90%) allows us to recommend RUBRYX for similar applications.
Keywords: natural language processing, medical diagnostics, document classification
ACM Classification Keywords: I.2.7 Natural Language Processing
Link:
CLASSIFICATION OF PRIMARY MEDICAL RECORDS WITH RUBRYX-2: FIRST EXPERIENCE
Olga Kaurova, Mikhail Alexandrov, Ales Bourek
http://www.foibg.com/ibs_isc/ibs-26/ibs-26-p04.pdf
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MACHINE TRANSLATION IN THE COURSE “COMPUTER TECHNOLOGIES IN LINGUISTICS” ..
By: Andrei Masevich, Victor Zakharov
(4144 reads)
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Abstract: Machine translation now left laboratories and became one of the practices of
information service. A large number of free or partly free systems of machine translation
became available in the net. Consequently, the task of their comparison and evaluation
criteria arises. The paper describes the procedure of the estimation of the machine
translation of text executed by different machine translation systems. The systems did
translation into the Russian language of text (fragment “Communist manifesto” by Marx
and Engels) from German, English and French. Students of the philological department of
Saint-Petersburg? State University systematized errors of translation, tried to determine
the sources of errors, and considered the possibility (or impossibility) of their elimination.
Keywords: machine translation, evaluation, teaching
ACM Classification Keywords: I.2.7 Natural Language Processing
Link:
MACHINE TRANSLATION IN THE COURSE “COMPUTER TECHNOLOGIES IN LINGUISTICS” AT THE PHILOLOGICAL
DEPARTMENT OF THE SAINT-PETERSBURG UNIVERSITY
Andrei Masevich, Victor Zakharov
http://www.foibg.com/ibs_isc/ibs-26/ibs-26-p03.pdf
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APPLICATION OF SOCIAL ANALYTICS FOR BUSINESS INFORMATION SYSTEMS
By: Alexander Troussov, D.J. McCloskey
(4303 reads)
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Abstract: Social networking tools, blogs and microblogs, user-generated content sites, discussion groups, problem reporting, and other social services have transformed the way people communicate and consume information. Yet managing this information is still a very onerous activity for both the consumer and the provider, the information itself remains passive. Traditional methods of keyword extraction from text based on predefined codified knowledge are not well suited for use in such empirical environments, and as such do little to support making this information more an active part of the processes to which it may otherwise belong. In this paper we analyse various use cases of real-time context-sensitive keyword detection methods using IBM LanguageWare? applications as example. We present a general high-performance method for exploiting ontologies to automatically generate semantic metadata for text assets, and demonstrate examples of how this method can be implemented to bring commercial and social benefits. In particular, we overview metadata-driven semantic publishing on the BBC FIFA World Cup 2010 website and the applications for social semantic desktops.
Keywords:data mining, natural language processing, recommender systems, social semantic web, graph-based methods.
ACM Classification Keywords: H.3.4 Information Storage and Retrieval: Systems and Software – information networks; H.3.5 Information Storage and Retrieval: Online Information Services – data sharing.
Link:
APPLICATION OF SOCIAL ANALYTICS FOR BUSINESS INFORMATION SYSTEMS
Alexander Troussov, D.J. McCloskey?
http://www.foibg.com/ibs_isc/ibs-26/ibs-26-p02.pdf
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POSITIVE STABLE REALIZATIONS OF CONTINUOUS-TIME LINEAR SYSTEMS
By: Tadeusz Kaczorek
(3370 reads)
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Abstract: The problem for existence and determination of the set of positive asymptotically stable realizations of a proper transfer function of linear continuous-time systems is formulated and solved. Necessary and sufficient conditions for existence of the set of the realizations are established. Procedure for computation of the set of realizations are proposed and illustrated by numerical examples.
Keywords: positive, stable, realization, existence, procedure, linear, continuous-time, system.
Link:
POSITIVE STABLE REALIZATIONS OF CONTINUOUS-TIME LINEAR SYSTEMS
Tadeusz Kaczorek
http://www.foibg.com/ibs_isc/ibs-26/ibs-26-p01.pdf
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HARDWARE IMPLEMENTATION OF RANK CODEC
By: Igor Sysoev,Ernst Gabidulin
(3458 reads)
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Abstract: The authors present a hardware implementation of the codec for rank codes. Parameters of rank code
are (8,4,5). Algorithmwas implemented on FPGA Spartan 3. Code rate is 1/2. The codec operates with elements
from Galois field GF(28). The device can process informational data stream up to 77 MiB/s. Proposed results
should help understanding rank code structure and simplify the problemof its application.
Keywords: rank codes, codec, error correction code, weak self-orthogonal bases, rankmetric, FPGA, key equation,
Euclidean algorithm, fast computing.
ACMClassification Keywords: B.2.4 High-Speed? Arithmetic
MSC: 12Y05, 65Y20, 68W35.
Link:
HARDWARE IMPLEMENTATION OF RANK CODEC
Igor Sysoev,Ernst Gabidulin
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p19.pdf
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METRIC TENSOR AS DEGREE OF COHERENCE IN THE DYNAMICAL ORGANIZATION OF THE ...
By: Sisir Roy, Rodolfo Llinás
(3192 reads)
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Abstract: The mechanism by which neuronal networks dynamically organize and differentiate during development
is a salient issue concerning neurogenesis. This central event reflects a topological order and its metrizability.
One important parameter in this process concerns the role of tremor and intrinsic electrical properties of neurons
Llinàs 1988 from a different in the developmental organization of Central Nervous System (CNS), which we now
would like to develop more formally. While tremor is usually considered an undesirable parameter in the generation of
coordinated movement it is actually essential in efficient motor execution and reflects fundamental intrinsic neuronal
electrophysiological oscillation. In addition, we propose, such intrinsic properties contribute to organize the neuronal
connectivity that results in the development of internal coordinate reference systems. Thus the degree of coherence
in the oscillatory activities of neuron can be interpreted as embodying a metric tensor of non-Euclidean space that
produce topological order associated to CNS development.
Keywords: Degree of coherence, Metric tensor, Nervous System, Intrinsic Oscillation, Functional Geometry
Link:
METRIC TENSOR AS DEGREE OF COHERENCE IN THE DYNAMICAL
ORGANIZATION OF THE CENTRAL NERVOUS SYSTEM
Sisir Roy, Rodolfo Llinás
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p18.pdf
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GEOMETRICAL TOOLS FOR ALPHA-VORONOI PARTITIONS
By: Atsumi Ohara, Yuya Nagatani
(3855 reads)
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Abstract: We consider problems to classify data represented as discrete probability distributions. For the classification
we propose the Voronoi partition technique with respect to -divergence, which is a statistically justified pseudo-
distance on the space of probability distributions. In order to improve computational efficiency and performance of
the classification, we introduce two nonlinear transformations respectively called the escort and projective transform,
and weighted -centroids. Finally we demonstrate performances of the proposed tools via simple numerical
examples.
Keywords: -divergence, -Voronoi partition, Escort transformation, Projective transformation
ACM Classification Keywords: I.3.5 Computational Geometry and Object Modeling
MSC: 53A15, 68T10
Link:
GEOMETRICAL TOOLS FOR ALPHA-VORONOI PARTITIONS
Atsumi Ohara and Yuya Nagatani
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p17.pdf
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ON THE DISCRETIZATION OF DISTANCE GEOMETRY PROBLEMS
By: Antonio Mucherino et al.
(4194 reads)
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Abstract: Distance geometry consists of finding an embedding of a weighted undirected graph in Rn. Since some
years, we are working on suitable discretizations for this problem. Because of the discretization, the search domain is
reduced froma continuous to a discrete set which has the structure of a tree. Based on this combinatorial structure,
we developed an efficient branch-and-prune (BP) algorithm for the solution of distance geometry problems. In
this paper, we focus on two important aspects of the discretization: the identification of suitable vertex discretizing
orderings and the analysis of the symmetries that can be found in BP trees.
Keywords: distance geometry, discretization, combinatorial optimization, discretizing orderings, symmetries.
ACMClassification Keywords: G.2.1 Combinatorics - Combinatorial algorithms; B.5.2 Design Aids -Optimization;
J.3 Life andMedical Sciences - Biology and genetics;
MSC: 05C85, 90C27, 51K99.
Link:
ON THE DISCRETIZATION OF DISTANCE GEOMETRY PROBLEMS
Antonio Mucherino,Carlile Lavor,Leo Liberti,Nelson Maculan
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p16.pdf
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DISTANCE BETWEEN OBJECTS DESCRIBED BY PREDICATE FORMULAS
By: Tatiana Kosovskaya
(4454 reads)
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Abstract: Functions defining a distance and a distinguish degree between objects described by predicate
formulas are introduced. It is proved that the introduced function of distance satisfies all properties of a distance.
The function of objects distinguish degree adequately reflects similarity of objects but does not define a distance
because the triangle inequality is not fulfilled for it. The calculation of the introduced functions is based on the
notion of partial deduction of a predicate formula.
Keywords: artificial intelligence, pattern recognition, distance between objects, predicate calculus.
ACM Classification Keywords: I.2.4 ARTIFICIAL INTELLIGENCE Knowledge Representation Formalisms and
Methods – Predicate logic.
Link:
DISTANCE BETWEEN OBJECTS DESCRIBED BY PREDICATE FORMULAS
Tatiana Kosovskaya
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p15.pdf
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DISTANCES ON ANTIMATROIDS
By: Yulia Kempner, Vadim E. Levit
(3921 reads)
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Abstract: An antimatroid is an accessible set system (U,F) closed under union. Every antimatroid may be
represented as a graph whose vertices are sets of F, where two vertices are adjacent if the corresponding sets are
differ by one element. This graph is a partial cube. Hence an antimatroid with the ground set U of size n may be
isometrically embedded into the hypercube {0, 1}n. Thus the distance on an antimatroid considered as a graph
coincides with the Hamming distance. A poset antimatroid is an antimatroid, which is formed by the lower sets
of a poset. We consider different definitions of the distance between elements of an antimatroid, and give a new
characterization of poset antimatroids.
Keywords: antimatroid, partial cube, zigzag distance, Hamming distance.
ACM Classification Keywords: G.2
MSC: 05C12; 52B40
Link:
DISTANCES ON ANTIMATROIDS
Yulia Kempner, Vadim E. Levit
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p14.pdf
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INTERVALS AS ULTRAMETRIC APPROXIMATIONS ACCORDING TO THE SUPREMUM NORM
By: Bernard Fichet
(4119 reads)
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Abstract: Given two distances d and d′ defined on a finite set I, with d d′, we characterise the set of all
ultrametrics lying between d and d′ (if any), showing they are the union of finitely many intervals with a common top
endpoint, the subdominant ultrametric of d′. We also provide an algorithm to compute the bottom of any interval,
given by any upperminimal ultrametric of d less than d′. A series of approximations according to the supremum
norm derive from this.
Keywords: ultrametric, subdominant ultrametric, upperminimal ultrametrics, approximation, supremum norm
MSC: G3: Statistics
Link:
INTERVALS AS ULTRAMETRIC APPROXIMATIONS ACCORDING TO THE SUPREMUM NORM
Bernard Fichet
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p13.pdf
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SYMMETRIZATION: RANKING AND CLUSTERING IN PROTEIN INTERFACES
By: Giovanni Feverati, Claire Lesieur, Laurent Vuillon
(4130 reads)
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Abstract: Purely geometric arguments are used to extract information from three-dimensional structures of
oligomeric proteins, that are very common biological entities stably made of several polypeptidic chains. They
are characterized by the presence of an interface between adjacent amino acid chains and can be investigated
with the approach proposed here. We introduce a method, called symmetrization, that allows one to rank interface
interactions on the basis of inter-atomic distances and of the local geometry. The lowest level of the ranking has
been used previously with interesting results. Now, we need to complete this picture with a careful analysis of the
higher ranks, that are for the first time introduced here, in a proper mathematical set up. The interface finds a very
nice mathematical abstraction by the notion of weighted bipartite graph, where the inter-atomic distance provides
the weight. Thus, our approach is partially inspired to graph theory decomposition methods but with an emphasis
to “locality”, namely the idea that structures constructed by the symmetrization adapt to the local scales of the
problem. This is an important issue as the known interfaces may present major differences in relation to their size,
their composition and the local geometry. Thus, we looked for a local method, that can autonomously detect the
local structure. The physical neighborhood is introduced by the concept of cluster of interactions. We discuss the
biological applications of this ranking and our previous fruitful experience with the lowest symmetrized level. An
example is given, using the prototypical cholera toxin.
Keywords: symmetrization, protein interfaces, oligomeric proteins, graphs, bonds ranking, interaction clusters.
ACM Classification Keywords:
J.2 Physical sciences - Mathematics and statistics
J.3 Life and medical sciences - Biology and genetics
Link:
SYMMETRIZATION: RANKING AND CLUSTERING IN PROTEIN INTERFACES
Giovanni Feverati, Claire Lesieur, Laurent Vuillon
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p12.pdf
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ULTRAMETRIC FECHNERIAN SCALING OF DISCRETE OBJECT SETS
By: Hans Colonius, Ehtibar N. Dzhafarov
(3571 reads)
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Abstract: Universal Fechnerian Scaling (UFS) is a principled approach to computing “subjective” distances among
objects (stimuli) from their pairwise discrimination probabilities. It is based on the concept of ‘dissimilarity function’
leading to a locally symmetrical quasimetric in the context of Dissimilarity Cumulation (DC) theory developed by
Dzhafarov and Colonius. Here we show that, for finite sets of objects, the replacement of dissimilarity cumulation
with a dissimilarity maximization procedure results in “subjective” distances satisfying the ultrametric inequality.
Keywords: Fechnerian scaling; dissimilarity function; quasimetric; ultrametric.
ACM Classification Keywords: G.2.3 Discrete Mathematics – Applications;
MSC: 54E05, 54E15, 54E35, 05C12
Link:
ULTRAMETRIC FECHNERIAN SCALING OF DISCRETE OBJECT SETS
Hans Colonius, Ehtibar N. Dzhafarov
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p11.pdf
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RANK CODES OVER GAUSSIAN INTEGERS AND SPACE TIME BLOCK CODES
By: Hafiz M.Asif, Ernst Gabidulin, Bahram Honary
(3882 reads)
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Abstract: Maximum rank distance (MRD) codes have been used for the construction of space time block code
(STBC) using a matrix method. Like orthogonal STBC’s in most popular cases, MRD-STBC’s can also achieve full
diversity. Though an OSTBC is known to yield the best BER performance, a unique case is described where MRD-
STBC performs better than Alamouti code (OSTBC). Moreover, the viability of Gabidulin’s decoding algorithm has
been established by decoding complex symbols generated from MRD-STBC’s. Under this decoding scheme, MRD-
STBC’s have been shown to be preferred candidate for higher antenna configuration as the decoding complexity of
Gabidulin’s algorithm is far less than that of maximum likelihood (ML) decoding algorithm.
Keywords: Rank codes, Gaussian integers, space time block codes, orthogonal space time block codes.
MSC: 12E20
Link:
RANK CODES OVER GAUSSIAN INTEGERS AND SPACE TIME BLOCK CODES
Hafiz M.Asif, Ernst Gabidulin, Bahram Honary
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p10.pdf
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METRIC BASED RECOMMENDER SYSTEMS
By: Ali Akhtarzada, Cristian S. Calude, John Hosking
(3897 reads)
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Abstract: Information overload and an abundance of choices create situations where selecting one option becomes
extremely difficult or even worse, a guessing game. Collaborative ranking systems address this problem by creating
intelligent rankings of items based on user opinions aggregation. This paper presents a metric-based multi-criteria
recommender system that can be used on non-rigid sets of criteria. These systems fare well with respect to
accuracy, transparency and flexibility.
Keywords: Multi-dimensional recommender system, metric method.
ACM Classification Keywords: H.4: Information systems applications
MSC: 68N30: Mathematical aspects of software engineering
Link:
METRIC BASED RECOMMENDER SYSTEMS
Ali Akhtarzada, Cristian S. Calude, John Hosking
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p09.pdf
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CONSTRUCTION OF GEOMETRIC DIVERGENCE ON q-EXPONENTIAL FAMILY
By: Hiroshi Matsuzoe
(3346 reads)
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Abstract: A divergence function is a skew-symmetric distance like function on a manifold. In the geometric theory
of statistical inference, such a divergence function is useful. In complex systems, Tsallis anomalous statistics is
developing rapidly. A q-exponential family is an important statistical model in Tsallis statistics. For this q-exponential
family, a divergence function is constructed from the viewpoint of affine differential geometry.
Keywords: information geometry, affine differential geometry, Tsallis statistics, divergence, q-exponential family
ACM Classification Keywords: G.0 General
MSC: 53A15, 62B10, 53A30
Link:
CONSTRUCTION OF GEOMETRIC DIVERGENCE ON q-EXPONENTIAL FAMILY
Hiroshi Matsuzoe
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p08.pdf
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REGULAR INVERSIVE POLYTOPES
By: Norman W. Johnson
(7205 reads)
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Abstract: Corresponding to each regular asymptotic polytope P in hyperbolic n-space Hn is an isomorphic
figure °P in inversive (n1)-space In−1 having many related metric properties. A regular inversive polytope °P
has a
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A BRIEF SURVEY OF METRICS IN CODING THEORY
By: Ernst Gabidulin
(9287 reads)
Rating:

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Abstract: The main objects of Coding theory are metric vector or matrix spaces. Subsets of spaces are known as
codes. The main problem is constructing codes of given pairwise distance and having maximal cardinality. Most
known and most investigated spaces are Hamming spaces. Thousands papers and books are devoted to codes
in the Hamming metric. We mention here only two books 1; 2 and will not consider this metric in details. Other
metrics are investigated much less. In this paper, we give many examples of useful metrics. It is still non exhaustive
review.
Keywords: metrics and norms, the uniform and non-uniform Hamming metrics, the Lee and Sharma-Kaushik?
metrics, the city block (Manhattan) metric, the Varshamov metric, the burst metric, the 2-dimensional burst metric,
the term rank metric, the rank metric, combinatorial metrics, projective metrics, graph metrics, the subspace metric.
ACM Classification Keywords: A.0 General Literature - Conference proceedings
MSC: 94B05, 94B20, 94B25
Link:
A BRIEF SURVEY OF METRICS IN CODING THEORY
Ernst Gabidulin
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p06.pdf
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CUBE-LIKE POLYTOPES AND COMPLEXES
By: Andrew Duke, Egon Schulte
(3323 reads)
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Abstract: The main purpose of this paper is to popularize Danzer’s power complex construction and establish some
new results about covering maps between two power complexes. Power complexes are cube-like combinatorial
structures that share many structural properties with higher-dimensional cubes and cubical tessellations on manifolds.
Power complexes that are also abstract polytopes have repeatedly appeared somewhat unexpectedly in various
contexts, although often under a different name. However, the non-polytope case is largely unexplored.
Keywords: cube; cubical tessellation; abstract polytope; incidence complex; covering.
MSC (2000): Primary: 51M20. Secondary: 52B15.
Link:
CUBE-LIKE POLYTOPES AND COMPLEXES
Andrew Duke, Egon Schulte
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p05.pdf
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CONES OF WEIGHTED QUASIMETRICS,WEIGHTED QUASIHYPERMETRICS AND OF ORIENTED CUTS
By: Michel Deza,Vyacheslav P.Grishukhin,Elena Deza
(3452 reads)
Rating:

(1.00/10)
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Abstract: We showthat the cone ofweighted n-point quasi-metricsWQMetn, the cone ofweighted quasi-hypermetrics
WHypn and the cone of oriented cuts OCutn are projections along an extreme ray of the metric cone
Metn+1, of the hypermetric cone Hypn+1 and of the cut cone Cutn+1, respectively. This projection is such that
if one knows all faces of an original cone then one knows all faces of the projected cone.
Keywords: distance, metrics, hypermetrics, cutmetrics, quasi-metrics.
MSC: 52B12, 51F99, 90C57
Link:
CONES OF WEIGHTED QUASIMETRICS,WEIGHTED QUASIHYPERMETRICS AND
OF ORIENTED CUTS
Michel Deza,Vyacheslav P.Grishukhin,Elena Deza
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p04.pdf
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LOGARITHMIC DISTANCES IN GRAPHS
By: Pavel Chebotarev
(4203 reads)
Rating:

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Abstract: The walk distances in graphs are defined as the result of appropriate transformations of the
P1
k=0(tA)k
proximity measures, where A is the weighted adjacency matrix of a graph and t is a sufficiently small positive
parameter. The walk distances are graph-geodetic; moreover, they converge to the shortest path distance and to
the so-called long walk distance as the parameter t approaches its limiting values. Furthermore, the logarithmic
forest distances which are known to generalize the resistance distance and the shortest path distance are a specific
subclass of walk distances. On the other hand, the long walk distance is equal to the resistance distance in a
transformed graph.
Keywords: graph distances, walk distances, logarithmic forest distances, transitional measure, Laplacian matrix,
resistance distance, network
ACM Classification Keywords: G.2.2 Graph Theory – Network problems; E.1 Data Structures – Graphs and
networks; C.2.1 Network Architecture and Design – Network topology
Link:
LOGARITHMIC DISTANCES IN GRAPHS
Pavel Chebotarev
http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p03.pdf
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