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I. Kontoyiannis' Ph.D. Thesis Abstract
https://www.dpmms.cam.ac.uk/~ik355/thesis.html5 Jun 2020: provided new problems in probability, information theory and ergodic theory, whose solutions reveal a series of interesting results about the entropy and the recurrence structure of stationary processes. ... compression. We propose a new lossy version of -
Lent 2020 LOGIC AND SET THEORY – EXAMPLES 4 ...
https://www.dpmms.cam.ac.uk/study/II/Logic/2019-2020/20sheet4.pdf11 Mar 2020: 11. Assume that ZF is consistent. We extend the language of ZF by adding new constantsα1,α2,. , -
Diffeomorphisms of discs
https://www.dpmms.cam.ac.uk/~or257/slides/Copenhagen2020.pdf8 Sep 2020: Weiss suggested a new kind of relativisation:. for M with M = Sd1 and 12M := Dd1 Sd1 he showed. -
thesis.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/ac.pdf5 Jun 2020: members of the faculty was a major source of learning and new ideas. -
exsh4.dvi
https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2020-2021/exsh4.pdf20 Nov 2020: Suppose we form a new CFG G′ from G byadding, for each production of the form B a in P (where a Σ), the productionB ǫ. ... Describe the new language L(G′) in terms of the original language L(G), givingan argument for your answer. -
Counting the Primes Using Entropy Lecture given on Thursday, ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/NewsLetter.pdf5 Jun 2020: REFERENCES. [1] T.M. Apostol. Introduction to Analytic Number Theory. Springer-Verlag,New York, 1976. ... Thomas.Elements of Information Theory. J. Wiley,New York, 1991. [10] H.G. Diamond. -
Optimisation send comments to m.tehranchi@statslab.cam.ac.ukExample…
https://www.dpmms.cam.ac.uk/study/IB/Optimization/2019-2020/example2.pdf14 May 2020: What would the new maximal flow be? 13. Consider a network with 2n 2 nodes labelled s, a1,. , -
itNL0608.qxd
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/NewsLetterJ.pdf5 Jun 2020: References. [1] T.M. Apostol, Introduction to Analytic Number Theory. Springer-Verlag, New York, 1976. ... Thomas, Elements of Information Theory. J.Wiley, New York, 1991. [10] H.G. -
MATHEMATICAL TRIPOS PART II (2019–2020)CODING AND CRYPTOGRAPHY…
https://www.dpmms.cam.ac.uk/study/II/Coding/2019-2020/CC2-20.pdf8 Jan 2020: numbers’. A new system was introduced which is compatible with the systemused to label most consumer goods. -
Estimating the Entropy Rate of Spike Trains Yun GaoDiv. ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/spikes-CISS.pdf5 Jun 2020: The first LZ-based method has beenwidely and very successfully used in many appli-cations, and the other one is a new estimator withsome novel and more desirable statistical properties.The -
paper.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/icassp.pdf5 Jun 2020: ABSTRACT. We introduce a new framework for classifying large imagesthat is more accurate and less computationally expensivethan the classical pixelbypixel approach This approachcalled progressive classi cation is well suited for analyzinglarge -
MATHEMATICAL TRIPOS PART II (2019–2020)CODING AND CRYPTOGRAPHY…
https://www.dpmms.cam.ac.uk/study/II/Coding/2019-2020/CC4-20.pdf8 Jan 2020: I therefore find a new pair of primes and announce that I shall be using theRabin code with modulus N ′ > N. -
Some Information-Theoretic Computations Related to the Distribution…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/primes.pdf5 Jun 2020: References. [1] T.M. Apostol. Introduction to Analytic Number Theory. Springer-Verlag, New York, 1976. ... Thomas. Elements of Information Theory. J. Wiley, New York, 1991. [9] H.G. -
PubTeX output 1997.05.27:1654
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/theory.pdf5 Jun 2020: 4] K. L. Chung, Markov Chains with Stationary Transition Probabilities.New York: Springer-Verlag, 1967. -
Entropy, Compound Poisson Approximation, Log-Sobolev Inequalities and …
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/cp-final.pdf5 Jun 2020: Vol. I. New York, N.Y.: John Wiley & Sons Inc.,1950. [5] D. ... Internat. Res. Sem., Statist. Lab.,Univ. California, Berkeley, Calif. New York: Springer-Verlag,1965, pp. -
Information and Complexity in Statistical Modeling. By Jorma…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/AMMreview.pdf5 Jun 2020: Information and Complexity in Statistical Modeling. By Jorma Rissanen. Springer-Verlag, New York, 2007, viii142 pp., ISBN 978-0-387-36610-4, $44.95. -
Ek-algebras and homological stability
https://www.dpmms.cam.ac.uk/~or257/slides/eCHT.pdf16 Jan 2020: the filtration where σ and λ have filtration 0 and ρ′′′ has filtration 1.Get a new spectral sequence. -
us_paper.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/suhov1.pdf5 Jun 2020: of shortest new prexes in the process This problem arises in Information Theory within the. ... states in StatisticalMechanics We introduce a new condition on the dependence of our process. -
reviews.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/AMMreviewJ.pdf5 Jun 2020: Information and Complexity in Statistical Modeling. By Jorma Rissanen. Springer-Verlag,New York, 2007, viii142 pp., ISBN 978-0-387-36610-4, $44.95. -
Multiresolution lossless/lossy compression and storage of data for…
https://www.dpmms.cam.ac.uk/~ik355/patent.html5 Jun 2020: Pennebaker and Joan L. Mitchell, JPEG: Still Image Data Compression Standard, Van Nostrand Reinhold, New York, 1993, which is hereby incorporated herein by reference in its entirety. -
2000 Conference on Information Sciences and Systems, Princeton…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/ciss00.pdf5 Jun 2020: Springer, New York, 1985. [2] P.H. Algoet. Log-Optimal Investment. PhD thesis, Dept. ... Elements of Information The-ory. J. Wiley, New York, 1991. [7] A. -
G:\DEVIN\BARCELONA\barcelona.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/barcelona.pdf5 Jun 2020: exponents theorem in lossy data compression, Hoeffding’s optimalhypothesis testing exponents, and a new sharp converse to some measureconcentration inequalities on discrete spaces. ... Körner. Information Theory: Coding Theorems for Discrete -
Relative Entropy and Exponential Deviation Boundsfor General Markov…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/KLM-C.pdf5 Jun 2020: 4] T.M. Cover and J.A. Thomas.Elements of Information Theory. J. Wiley,New York, 1991. ... Springer-Verlag, New York, 2001. [13] S.P. Meyn and R.L. Tweedie.Markov Chains and Stochastic Stability.Springer-Verlag, London, 1993. -
Maximum Likelihood Estimationfor Lossy Data Compression∗ Matthew…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/MLE.pdf5 Jun 2020: Inform. Theory, 44, pp. 2743–2760, October1998. [2] P. Billingsley. Convergence of Probability Measures, 2nd Ed., New York: Wiley, 1999. ... A. Thomas, Elements of Information Theory, New York: Wiley,1991. [5] A. -
Geometry IB – 2019/20 – Revision sheet These questions ...
https://www.dpmms.cam.ac.uk/study/IB/Geometry/2019-2020/GeometryIB-2019-20-Revision_sheet.pdf10 Mar 2020: These questionsare to help gain familiarity with the new topics: this is not a mock exam, and the questions are not moderated to the usualexam question style.]. -
466 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 51, NO. ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/poisson3J.pdf5 Jun 2020: Abstract—Two new information-theoretic methods are intro-duced for establishing Poisson approximation inequalities. ... Zeitouni, Large Deviations Techniques and Applica-tions, 2nd ed. New York: Springer-Verlag, 1998. -
Fisher Information, Compound PoissonApproximation, and the Poisson…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/cpa-isit07.pdf5 Jun 2020: New York: Springer-Verlag, 1989.[2] S. Artstein, K. M. Ball, F. Barthe, and A. ... Wu, “A new modified logarithmic Sobolev inequality for Poissonpoint processes and several applications,” Probab. -
The Complexity and Entropy of Literary Styles� I. Kontoyiannisy ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/english.pdf5 Jun 2020: Witten. Text Compression. Prentice Hall, New Jersey, 1990. [2] P.F. Brown, S.A. ... Springer-. Verlag, Berlin-Heidelberg-New York, 1973. [28] A. Wyner and J. Ziv. -
Geometric Ergodicity and the Spectral Gap of Non-Reversible Markov ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/L2LV.pdf5 Jun 2020: Springer-Verlag,New York, 1999. Gibbs fields, Monte Carlo simulation, and queues. [3] S.P. ... Springer-Verlag, New York, second edition,1990. [5] Michael Dellnitz and Oliver Junge. -
MI.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/MI.pdf5 Jun 2020: 9] R.W. Yeung. A new outlook on Shannon’s information measures. IEEETrans. -
Simulated Convergence Rates with Application to anIntractable…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/CAMSAP.pdf5 Jun 2020: SpringerSeries in Statistics. Springer New York, 1997. [22] Riabiz, M. and Ardeshiri, T. -
Lossless Compression with Moderate Error Probability
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/MDP.pdf5 Jun 2020: Körner, Information Theory: Coding Theorems forDiscrete Memoryless Systems. New York: Academic Press, 1981. ... New York: Springer–Verlag, 1998. [31] C.-G. Esseen, “Fourier analysis of distribution functions. -
neuro.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/neuro.pdf5 Jun 2020: We first examinea number of different parametric and nonparametric estimators(some known and some new), including the “plug-in” method,several versions of Lempel-Ziv-based compression algorithms, amaximum likelihood estimator ... The theoretical -
Pattern Matching and Lossy Data Compression on Random Fields ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/RFS2.pdf5 Jun 2020: Springer-Verlag, New York, 1994. [11] P. Elias. Universal codeword sets and representations of the integers. ... Springer-Verlag, New York, 1995. 11. [15] I. Kontoyiannis. Pointwise redundancy in lossy data compression and universal lossy datacompression. -
MEASURE CONCENTRATION FOR COMPOUND POISSON DISTRIBUTIONS I.…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/cpcom.pdf5 Jun 2020: A new modification of the Herbst argument is applied to anappropriate modified logarithmic-Sobolev inequality to derive new concentration bounds. ... Simple new proofs are also given for earlier results of Houdré (2002) and Wu (2000). -
63 Makers of Patterns:From Escher to CoxeterAlexis Marchand Dutch ...
https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2020-ArticleEureka-Published.pdf14 Nov 2020: If two copies of the polygon share anedge, then draw a new edge between the correspond-ing vertices across the old edge. ... The resulting graph(consisting of new vertices and edges only) is calledthe dual graph of the tiling, and is exactly the -
Entropy and the Law of Small Numbers I. Kontoyiannis∗ ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/poisson3.pdf5 Jun 2020: Johnson‡. December 22, 2004. Abstract. Two new information-theoretic methods are introduced for establishing Poisson ap-proximation inequalities. ... Dembo and O. Zeitouni. Large Deviations Techniques And Applications. Springer-Verlag, New York, second -
thesis.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/intro.pdf5 Jun 2020: better understanding of the existing methods, but also to several new, practical data. ... We introduce a new lossy variant of. Lempel-Ziv, we prove its asymptotic optimality, and we argue that its complexity. -
vt06final.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/vt.pdf5 Jun 2020: Springer-Verlag, New York, 1999. Gibbs fields,Monte Carlo simulation, and queues. [4] W. ... 15] P. Glynn and R. Szechtman. Some new perspectives on themethod of control variates. -
Suppressing Covid-19:Public Health Policy and Effective Mass-Testing…
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/Covid_talk_slides.pdf11 Sep 2020: White House announced $750 million deal with Abbott. Sept 1: New rapid test by Roche-SD Biosensor partnership. ... Approved 3-minute saliva test the “Daily Tampon”. France. New “antigénique rapide” test used by authorities. -
Electron. Commun. Probab. 0 (2016), no. 0, DOI: 10.1214/ECP.vVOL-PID
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/f-norm.pdf5 Jun 2020: R. (1950). Measure Theory. D. Van Nostrand Company, Inc., New York, N. -
costgraphGreedy.ps
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/kserver.pdf5 Jun 2020: For CC we have:– With probability x2 , the new request will occur in Γ, in which case C. ... Second edition.Springer-Verlag, New York, 1998. [4] I. Kontoyiannis and S. P. -
Control Variates for Reversible MCMC Samplers
https://www.dpmms.cam.ac.uk/~ik355/AWMCMC/AWMCMC_talks/PD.pdf6 Jun 2020: Estimating {θj }: We use control variates of this form conjunction with a new, efficiently. -
finalTR.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/finalTR.pdf5 Jun 2020: McGraw-Hill, New York, 1953. [2] P.H. Algoet. Log-Optimal Investment. PhD thesis, Dept. ... Large Deviations Techniques And Applications. Second Edition.Springer-Verlag, New York, 1998. [8] J.C. -
The ODE Method and Spectral Theory of Markov Operators ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/hkm.pdf5 Jun 2020: Springer-Verlag, New York, 1997. 22. L. Ljung. On positive real transfer functions and the convergence of somerecursive schemes. -
nits-NL_0312.indd
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/NLMarch12.pdf5 Jun 2020: Many new things are always coming up to second guess the less optimistic forecaster. ... Improved and new inequalities will continue to extend the power and the scope of Information Theory tools. -
Diffeomorphisms of discs
https://www.dpmms.cam.ac.uk/~or257/slides/MIT2020.pdf14 Sep 2020: Weiss suggested a new kind of relativisation:. for M with M = Sd1 and 12M := Dd1 Sd1 he showed that. ... to filtration this isKoszul, and identify its Koszul dual with the Kriz–Totaro algebra;show that the collection of all Kriz–Totaro algebras for -
paper.dvi
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/jtp.pdf5 Jun 2020: elds on Zd though of course new subtleties arise in this case regarding the conditional structure of the. -
PubTeX output 1999.09.27:1044
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/lossyJ.pdf5 Jun 2020: 39–41, 1996. [10] M. Crochemore and W. Rytter,Text Algorithms. New York: OxfordUniv. ... Zeitouni,Large Deviations Techniques And Applica-tions, 2nd ed. New York: Springer-Verlag, 1998. -
IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. XX, NO. Y, ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/critical.pdf5 Jun 2020: 5] T.M. Cover and J.A. Thomas, Elements of Information Theory,J. Wiley, New York, 1991. ... 7] A. Dembo and O. Zeitouni, Large Deviations Techniques AndApplications. Second Edition, Springer-Verlag, New York, 1998.
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