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Time series modelling and inference with Bayesian Context Trees
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/IP307/thesis_ip307.pdf6 Jul 2023: Time series modelling and inferencewith Bayesian Context Trees. Ioannis Papageorgiou. Department of EngineeringUniversity of Cambridge. ... 2.1.1 Model description. Let {Xn} be a dth order Markov chain with values in an alphabet of size m. Results that match 2 of 3 words
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Concentration Properties of GeneralizedRandom Gilbert-Varshamov Codes …
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/ITW2023_Final.pdf16 Mar 2023: Their alphabets will be superscripted by their dimen-sions. For a generic joint distribution PXY = {PXY (x,y),x X ,y Y}, which will often be abbreviated by P , informationmeasures will ... 13] R. Durrett. Probability: Theory and Examples. Cambridge Univ. -
Minimum probability of error of list -ary hypothesis testing
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/ht_list_iai.pdf21 Jun 2023: Theobservation alphabet Y is a general alphabet that encompasses the Cartesian product of n-observationsand many other standard settings. ... error. We define the set of distinctunordered sequences of length L over alphabet X by SL(X). -
Typical Error Exponents: A Dual Domain Derivation
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/Typical_Error_Exponents_A_Dual_Domain_Derivation-2.pdf23 Jan 2023: Interestingly, the expressions of the typical. Authorized licensed use limited to: CAMBRIDGE UNIV. ... inputs [28, Eq. (7.4)]. Similarly,. Authorized licensed use limited to: CAMBRIDGE UNIV. -
A Sphere-Packing Error Exponent for Mismatched Decoding
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/ub_mismatch_sp_final.pdf12 May 2023: 2. (15). Definition 2: Let P, Q be probability distributions definedon alphabet X. ... D(PY |XPY |X|PX ) (26). Authorized licensed use limited to: CAMBRIDGE UNIV. -
1482 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 68, NO. ...
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/Mismatched_Decoding_Reliability_Function_at_Zero_Rate.pdf23 Jan 2023: Albert Guillén i Fàbregas is with the Department of Engineering, Universityof Cambridge, Cambridge CB2 1PZ, U.K., and also with the Departmentof Information and Communication Technologies, Universitat Pompeu Fabra,08018 Barcelona, ... This can be done -
Concentration Properties of Random Codes
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/Concentration_Properties_of_Random_Codes-1.pdf29 Nov 2023: For example, when the number of messages is. Authorized licensed use limited to: CAMBRIDGE UNIV. ... n. 1ε2. E[(. Eubtrc(R, Q). Authorized licensed use limited to: CAMBRIDGE UNIV. -
Mismatched Binary Hypothesis Testing: Error Exponent Sensitivity
www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/Mismatched_Binary_Hypothesis_Testing_Error_Exponent_Sensitivity.pdf23 Jan 2023: e-mail: pb702@cam.ac.uk). Albert Guillén i Fàbregas is with the Department of Engineering, Universityof Cambridge, Cambridge CB2 1PZ, U.K., and also with the Departmentof Information and Communication ... k1 defined on the probability. simplex P(X k),
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