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Mathematical Modelling of Generalization [chapter]

Martin Anthony
2002 Lecture Notes in Computer Science  
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]

Motohiko Naito
2020 bioRxiv   pre-print
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]

Zvi M. Kedem, Kirthi Krishna Muntimadugu
2016 arXiv   pre-print
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


2018 International Journal of Mechatronics and Applied Mechanics  
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]

Martin Zumsande, Dirk Stiefs, Stefan Siegmund, Thilo Gross
2010 arXiv   pre-print
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

S. K. Kim, K. T. Atanassov, A. G. Shannon
2000 International Journal of Mathematical Education in Science and Technology  
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

A. Senulis, D. Eidukas, E. Guseinoviene
2011 Elektronika ir Elektrotechnika  
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

Mehrdad Massoudi
2011 Mechanics research communications  
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]

Boris V. Alexeev
2008 arXiv   pre-print
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]

Frederique Clement CNRS, Univ Paris 6)
2006 arXiv   pre-print
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]

Yingxu Wang
2008 Lecture Notes in Computer Science  
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

P. G. Khorolskyi
2011 Actual problems of automation and information technology  
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

Yu. G. Vasin, T. Yu. Rudaya
2019 Russian competition law and economy  
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

Asao Arai
2006 Symmetry, Integrability and Geometry: Methods and Applications  
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

Laszlo Kelemen, Jozsef Szente
2014 The Scientific World Journal  
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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