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Proceedings of the eighth ACM international conference on Multimedia

作者： Leonid Levkovich-Maslyuk Pavel Kalyuzhny Alexander Zhirkov The Keldysh Inst. of Appl. Math. 4 Miusskaya Sq. Moscow Russia 125047 Lomonosov Moscow State University Russia Moscow GSP119899 MSU Computer Science Faculty

ISBN: (纸本)9781581131987

We present image compression method based on block palletizing. Image block is partitioned into four subsets, and each subset is palletized by 2 or 4 colors from the quasioptimal local palette, constructed for the whole block. Index map for the whole block, being the union of index maps for subsets, is thus only 1 or 2 bits deep, while the local palette may consist of 8 or even 16 colors. The local palette has a specific geometrical configuration in RGB color space, determined by only 2 colors. These two colors are stored explicitly, and the rest are reconstructed at the decompression stage. Compressed block consists, essentially, of the index map, palette description and partition description. This format allows fast access to randomly chosen pixels, and high reconstruction quality for compression ratios from 8 to 12, which is useful for texture storage in 3D graphics applications where real-time decompression is crucial.

关键词： fast rendering

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Application of neural networks to biological data mining: A case study in protein sequence classification

Application of neural networks to biological data mining: A ...

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Proceedings of the Sixth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD-2001)

作者： Wang, Jason T.L. Ma, Qicheng Shasha, Dennis Wu, Cathy H. Dept. of Comp./Information Science New Jersey Institute of Technology Newark NJ 07102 United States Courant Inst. of Math. Sciences New York University New York NY 10012 United States Natl. Biomedical Research Foundation Medical Ctr. Georgetown Univ. Washington DC 20007 United States

ISBN: (纸本)1581132336

Biological data mining aims to extract significant information from DNA, RNA and proteins. The significant information may refer to motifs, functional sites, clustering and classification rules. This paper presents an example of biological data mining: The classification of protein sequences using neural networks. We propose new techniques to extract features from protein data and use them in combination with the Bayesian neural network to classify protein sequences obtained from the PIR protein database maintained at the National Biomedical Research Foundation. To evaluate the performance of the proposed approach, we compare it with other protein classifiers built based on sequence alignment and machine learning methods. Experimental results show the high precision of the proposed classifier and the complementarity of the tools studied in the paper.

关键词： Data mining

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Continued fractions and the d-dimensional Gauss transformation

HP Laboratories Technical Report

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HP Laboratories Technical Report 2000年第15期BRIMS卷

作者： Hardcastle, D.M. Khanin, K. Basic Res. Inst. in the Math. Sci. HP Laboratories Bristol Department of Mathematics Heriot-Watt University Edinburgh EH14 4AS United Kingdom Isaac Newton Inst. for Math. Science 20 Clarkson Road Cambridge CB3 0EH United Kingdom BRIMS Hewlett-Packard Laboratories Stoke Gifford Bristol BS12 6QZ United Kingdom Landau Inst. for Theoretical Physics Kosygina Str.2 Moscow 117332 Russia

In this paper we study a multidimensional continued fraction algorithm which is related to the Modified Jacobi-Perron algorithm considered by Podsypanin and Schweiger. We demonstrate that this algorithm has many important properties which are natural generalisations of properties of one-dimensional continued fractions. For this reason, we call the transformation associated to the algorithm the d-dimensional Gauss transformation. We construct a coordinate system for the natural extension which reveals its symmetries and allows one to give an explicit formula for the density of its invariant measure. We also discuss the ergodic properties of this invariant measure.

关键词： math.matical transformations

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Star graphs and Šeba billiards

HP Laboratories Technical Report

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HP Laboratories Technical Report 2000年第22期BRIMS卷

作者： Berkolaiko, G. Bogomolny, E.B. Keating, J.P. Basic Res. Inst. in the Math. Sci. HP Laboratories Bristol Dept. of Physics of Complex Systems Weizmann Institute of Science Rehovot 76100 Israel Lab. de Phys. Theor./Modeles Stat. Universite Paris-Sud 91405 Orsay Cedex France School of Mathematics University of Bristol Bristol BS8 1TW United Kingdom BRIMS Hewlett-Packard Laboratories Filton Road Stoke Gifford Bristol BS34 8QZ United Kingdom

We derive an exact expression for the two-point correlation function for quantum star graphs in the limit as the number of bonds tends to infinity. This turns out to be identical to the corresponding result for certain Šeba billiards in the semiclassical limit. Reasons for this are discussed. The formula we derive is also shown to be equivalent to a series expansion for the form factor - the Fourier transform of the two-point correlation function - previously calculated using periodic orbit theory.

关键词： Graph theory

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Monitoring and prognosis of decision making processes in multi-agent systems 3

Monitoring and prognosis of decision making processes in mul...

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3rd Russian-Korean International Symposium on science and Technology, KORUS 1999

作者： Zagoruiko, N.G. Zhuravlev, Ju.I. Inst. of Math. of Siberian Branch of RAS Novosibirsk Russia Computer Center RAS ul. Vavilova 42 Moscow117968 Russia

ISBN: (纸本)0780357299

The tasks of monitoring the information related to the work of multi-agent systems are considered, allowing discovery of the regularities of structural organization of agent sets and sets of problems solved by them. A novel method of collective decision making under individual and group decisions, with use of a dispersion criterion of agent group competence is offered. © 1999 IEEE.

关键词： Decision making

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Duplicating and pricing contingent claims in incomplete markets

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Pacific Economic Review 1999年第3期4.0卷 237-260页

作者： Peng, Shige Yang, Feng Inst. of Math. and System Science Shandong University 250100 Jinan China

The paper studies the problem of pricing contingent claims in the situation where the constraints imposed on an investor's portfolios are important. There are two types of rule of constraint: under a rigid rule, an investor must strictly limit his portfolios inside the constraint;under an elastic rule, an investor pays a penalty when the constraint is violated. The central problem of pricing a contingent claim is to determine the initial investment required to duplicate the contingent claim. The following results are obtained: (i) under elastic rules, the cost to duplicate a contingent claim exists and is unique;(ii) this cost depends nonlinearly and convexly on the contingent claim;(iii) the cost under rigid rules resulting from passing the penalty to infinity is also a nonlinear and convex function of the contingent claim. Owing to this nonlinearity, the cost of duplication may be or may not be the nonarbitrage price of the contingent claim;this depends on how the market organizes the production of contingent claims. The conclusion that the cost of duplication is a convex function of the contingent claim provides an explanation for why the service of providing contingent claims is often a highly profitable business. The main math.matical tool in the analysis is backward stochastic differential equations (BSDEs). In fact the cost to duplicate a contingent claim is the solution of a BSDE in which the contingent claim is the terminal value.

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Shape reconstruction of 3D bilaterally symmetric surfaces

Shape reconstruction of 3D bilaterally symmetric surfaces

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10th International Conference on Image Analysis and Processing, ICIAP 1999

作者： Shimshoni, Ilan Moses, Yael Lindenbaumlpr, Michael Dept. of Ind. Eng. and Management Technion Haifa 32000 Israel Dept. of Applied Math Weizmann Inst. of Science Rehovot 76100 Israel Dept. of Computer Science Technion Haifa 32000 Israel

ISBN: (纸本)0769500404

The paper presents a new approach for shape recovery based on integrating geometric and photometric information. We consider 3D objects which are symmetric with respect to a plane (e.g., faces) and their reconstruction from a single image. Both the viewpoint and the illumination are not necessarily frontal. In principle, no correspondence between symmetric points is required, but knowledge about a few corresponding pairs accelerates the process. The basic idea is that an image taken from a general, non-frontal viewpoint, under non-frontal illumination can be regarded as a pair of images of half of the object, taken from two different viewing positions and two different lighting directions. We show that integrating the photometric and geometric information yields the unknown lighting and viewing parameters, as well as dense correspondence between pairs of symmetric points. As a result, a dense shape recovery of the object is computed. The method has been implemented and tested experimentally on simulated and real data. © 1999 IEEE.

关键词： Lighting

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Robust chaos-the theoretical formulation and experimental evidence

Robust chaos-the theoretical formulation and experimental ev...

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IEEE International Symposium on Circuits and Systems (ISCAS)

作者： S. Banerjee D. Kastha S. Das G. Vivek C. Grebogi Department of Electrical Engineering Indian Institute of Technology Kharagpur India Inst. of Plasma Research Department of Math. and Inst. of Physical Science & Technology University of Maryland College Park MD USA

Practical applications of chaos are likely to face problems of reliability because of the existence of multiple attractors and periodic windows in most chaotic dynamical systems. In this paper we show that robust chaos, defined by the absence of periodic windows and coexisting attractors in some neighborhood of the parameter space, can occur in piecewise smooth systems and obtain the conditions of its occurrence. We demonstrate experimental evidence of this phenomenon in power electronic circuits.

关键词： Robustness Chaos Orbits Content addressable storage Buck converters Power electronics Circuits Power engineering and energy Switches DC-DC power converters

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Multiple Structural Alignment and Core Detection by Geometric Hashing

Multiple Structural Alignment and Core Detection by Geometri...

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7th International Conference on Intelligent Systems for Molecular Biology, ISMB 1999

作者： Leibowitz, Nathaniel Fligelman, Zipora Y. Nussinov, Ruth Wolfson, Haim J. Dept. of Computer Science School of Math. Sc. Tel Aviv University Tel Aviv69978 Israel Sackler Inst. of Molecular Medicine Sackler Faculty of Medicine Tel Aviv University Bldg 469 Rm 151 FrederickMD21702 United States IRSP - SAIC Lab. of Experimental and Computational Biology NCI - FCRDC Bldg 469 Rm 151 FrederickMD21702 United States

ISBN: (纸本)1577350839

A Multiple Structural Alignment algorithm is presented. The algorithm accepts an ensemble of protein structures and finds the largest substructure (core) of Cα atoms whose geometric configuration appear in all the molecules of the ensemble (core). Both the detection of this core and the resulting structural alignment are done simultaneously. Other large enough multistructural superimpositions are detected as well. Our method is based on the Geometric Hashing paradigm and a superimposition clustering technique which represents superimpositions by sets of matching atoms. The algorithm proved to be efficient on real data in a series of experiments. The same method can be applied to any ensemble of molecules (not necessarily proteins) since our basic technique is sequence order independent. Copyright © 1999, American Association for Artificial Intelligence (***). All rights reserved.

关键词： Molecules

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Numerical model of heat transfer between blood vessel and biological tissue

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computer Assisted Mechanics and Engineering sciences 1999年第3期6卷 439-447页

作者： Majchrzak, Ewa Mochnacki, Bohdan Dept. Strength Mat. Compl. Mechanics Silesian Technical University Konarskiego 18a 44-100 Gliwice Poland Inst. of Math. and Computer Science Tech. Univ. of Czȩstochowa Dqbrowskiego 73 42-200 Czȩstochowa Poland

The thermal processes proceeding within a perfused tissue in the presence of a vessel are considered. The Pennes bio-heat transfer equation determines the steady state temperature field in tissue sub-domain, while the ordinary differential equation resulting from the energy balance describes the change of blood temperature along the vessel. The coupling of above equations results from the boundary condition given on the blood vessel wall. The problem is solved using the combined numerical algorithm, in particular the boundary element method (for the tissue sub-domain) and the finite differences method (for blood vessel sub-domain).

关键词： Heat transfer

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