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Mathematical Modelling of Generalization
[chapter]
2002
Lecture Notes in Computer Science
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This paper surveys certain developments in the use of probabilistic techniques for the modelling of generalization. Some of the main methods and key results are discussed. ...
In the model, we shall assume that a learning algorithm A takes a randomly generated training sample of labelled examples and produces a function h : X → [0, 1], chosen from some hypothesis class H of ...
Data-dependent bounds have been obtained in a number of ways, in particular through deploying a general 'luckiness' framework developed in [30, 37] , and, more recently, through the application of concentration ...
doi:10.1007/3-540-45808-5_20
fatcat:edmwnvxvmjbalkv55lz377uffe
Generalized mathematical model of cancer heterogeneity
[article]
2020
bioRxiv
pre-print
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To overcome this limitation, in this study, a stochastic process was incorporated into conventional cancer growth properties to obtain a generalized mathematical model of cancer growth. ...
The number of reports on mathematical modeling related to oncology is increasing with advances in oncology. ...
To establish a fully generalized mathematical model of cancer, general cancer properties were mathematically interpreted before analysis of the data obtained from the experiments of a specific type of ...
doi:10.1101/2020.05.25.115725
fatcat:jww7dx72u5cujcmosp6toe7n6i
Mathematical Modeling of General Inaccurate Adders
[article]
2016
arXiv
pre-print
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This paper presents a comprehensive and mathematically rigorous method for analyzing a large class of inaccurate circuits for addition. ...
But effective design of such circuits requires an understanding of resulting tradeoffs between accuracy and design parameters, such as voltages and speed of execution. ...
Acknowledgment Some of the results presented here appeared first in a preliminary form in [8] . ...
arXiv:1606.01753v1
fatcat:t3z25accjbb4pibt3koc2ydqn4
MATHEMATICAL MODELLING AND SIMULATION OF WIND TURBINE GENERATOR
2018
International Journal of Mechatronics and Applied Mechanics
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This paper studied the mathematical model and calculation of each component of small and medium-sized wind turbine generators to improve its stability and power generation efficiency. ...
The improved maximum power tracking control can effectively accelerate the maximum power tracking process, making better capture of wind energy by the generator. ...
Modeling of Wind Power System
Mathematical drivetrain model of directdriven wind turbine generator The drivetrain model of PMDC wind turbine generators is simple without low-speed shaft, highspeed shaft ...
doi:10.17683/ijomam/issue4.23
fatcat:xcafhnykybcodkogzqvfm4lwjm
General analysis of mathematical models for bone remodeling
[article]
2010
arXiv
pre-print
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In this work, we apply the method of generalized modelling to systematically analyse a large class of models of bone remodeling. ...
Bone remodeling is regulated by pathways controlling the interplay of osteoblasts and osteoclasts. ...
To this end, we apply the method of generalized modeling [17] [18] [19] [20] which allows analyzing models in which the reaction kinetics is not restricted to specific mathematical functions. ...
arXiv:1010.1239v2
fatcat:od674jld5zcbvlsgdsje6ut23e
Generalized nets in neurology: an example of mathematical modelling
2000
International Journal of Mathematical Education in Science and Technology
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The purpose of this paper is to explain the prime theory of Generalized Nets(GNs) and their applications to the differential diagnosis of neurological diseases. ...
We define formally the concepts of a GN and transitions of a GN and also outline some remarks on their theory. ...
References [1 ] Atanassov, K. 1991 Generalized Nets, Singapore: World Scientific. ...
doi:10.1080/002073900287228
fatcat:ln5g7zuqrbb7nfrw47jhe753v4
Generalized Mathematical Model of Controlled Linear Oscillating Mechatronic Device
2011
Elektronika ir Elektrotechnika
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Generalized Mathematical Model of Controlled Linear Oscillating Mechatronic Device // Electronics and Electrical Engineering. -Kaunas: Technologija, 2011. -No. 2(108). -P. 55-60. ...
This paper presents the general mathematical model of double-sided splingless linear oscillating mechatronic device -oscillating motor-compressor which is supplied by thyristor voltage converter. ...
The system mathematical model could be realized by using the mathematical model of such mechatronic device. ...
doi:10.5755/j01.eee.108.2.145
fatcat:qv43k22pnnf4rfzvm5i2cxymna
A generalization of Reiner's mathematical model for wet sand
2011
Mechanics research communications
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We then look at the flow of a saturated densely packed bed of particles (with liquid in the pores) between two horizontal flat plates. We obtain exact solutions for a very special case. ...
Furthermore, in general, if we had used Eq. (5) as the basis of deriving a generalization of the Reiner's model, it would have been possible by giving a special structure to the material parameters, ˇ0 ...
Reiner (1945 Reiner ( , 1948 proposed and derived a constitutive relation for wet sand whereby the concept of dilatancy is given a mathematical structure. ...
doi:10.1016/j.mechrescom.2011.05.002
fatcat:ksxpkpa37zcepbjth7zdzhppx4
Mathematical Modeling of Soliton's Evolution in Generalized Quantum Hydrodynamics
[article]
2008
arXiv
pre-print
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This paper addresses the fundamental principles of generalized Boltzmann physical kinetics, as a part of non-local physics. ...
The paper can be considered also as comments and prolongation of the materials published in the known author's monograph (Boris V. Alexeev, Generalized Boltzmann Physical Kinetics. Elsevier. 2004). ...
In this case we could wait for the generation of many solitons -fragments, "splinters" of process. ...
arXiv:0804.3489v2
fatcat:fhhxjlb24bgr7jtcy3acqx56le
Mathematical modeling of the GnRH pulse and surge generator
[article]
2006
arXiv
pre-print
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We propose a mathematical model allowing for the alternating pulse and surge pattern of GnRH (Gonadotropin Releasing Hormone) secretion. ...
Specifications on the model parameter values are derived from physiological knowledge in terms of amplitude, frequency and plateau length of oscillations. ...
The key point in the design of the model consists in entering as reasonable input 2 coupled systems (a slow one with a faster one) to generate a definite sequence of events in the model output: GnRH secretion ...
arXiv:q-bio/0511023v2
fatcat:osj6j464fzcmjknpsendayhniq
Toward a Generic Mathematical Model of Abstract Game Theories
[chapter]
2008
Lecture Notes in Computer Science
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A wide range of generic zero-sum and nonzero-sum games are formally modeled and analyzed using the generic mathematical models of abstract games. ...
A generic mathematical model of abstract games is introduced, based on which the properties of games in terms of decision strategies and serial matches are described. ...
This work is partially sponsored by Natural Sciences and Engineering Research Council of Canada (NSERC). ...
doi:10.1007/978-3-540-87563-5_12
fatcat:b6nnmgbkg5df3eivpebqjjdgxa
Development of the Mathematical Model for Generating Technical Innovations
2011
Actual problems of automation and information technology
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The article is devoted to development of mathematical model of generation of technical innovations in the system of the heuristic planning, including difficult technical systems, by a project collective ...
On the basis of analogy the general is used equalizations of process for the generalized parameter -information. By information unit the technical innovation is accepted. ...
doi:10.15421/431110
fatcat:a3eubl4oanabtobtk6ca7nzzm4
General mathematical model of the roadmap fight against cartels
2019
Russian competition law and economy
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The article offers a description of the general algorithm for the formation of a mathematical (stochastic) model of countering cartels as a massive negative social and legal phenomenon. ...
The formation of a mathematical model should be preceded by a stage of theoretical modeling, which establishes the constituent elements and relationships of the subject of study. ...
Annotation The article offers a description of the general algorithm for the formation of a mathematical (stochastic) model of countering cartels as a massive negative social and legal phenomenon. ...
doi:10.32686/2542-0259-2019-3-36-41
fatcat:pcdnymflxrfipd5qlrfmmmcxhu
Mathematical Analysis of a Generalized Chiral Quark Soliton Model
2006
Symmetry, Integrability and Geometry: Methods and Applications
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The Hamiltonian of the generalized CQSM is given by a Dirac type operator with a mass term being an operator-valued function. Some mathematically rigorous results on the model are reported. ...
A generalized version of the so-called chiral quark soliton model (CQSM) in nuclear physics is introduced. ...
., Spectral properties of a Dirac operator in the chiral quark soliton model, J. Math. Phys., 2005, V.46, N 5, 052360, 12 pages. ...
doi:10.3842/sigma.2006.018
fatcat:6smphsmvzvhdhdmny26hrjk5n4
Two Mathematical Models for Generation of Crowned Tooth Surface
2014
The Scientific World Journal
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It is influenced by the size of the hob and the feed. In this paper two mathematical models of the crowned tooth surface are introduced for the generation of the idealized tooth surfaces. ...
Our aim is to compare the obtained crowned tooth profiles for the two examined models and to investigate the results. ...
Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper. ...
doi:10.1155/2014/641091
pmid:24578653
pmcid:PMC3918377
fatcat:ey5ot6ixfzgbfblh5jl2bt74de
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