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  2. Error Exponents of Discrete MemorylessChannels Under Small Mismatch…

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/isit2024_exp.pdf
    20 Jun 2024: counterpart in Appendix A closely. Recall that weperformed a Taylor expansion of the cost function (23) andthus wish to solve (24). ... Upon applying the minimax theoremto (24), we cannot further move the minimization inside thelogarithm.
  3. Fixed-Memory Capacity Bounds for theGilbert-Elliott Channel Yutong…

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/isit2024_gec.pdf
    20 Jun 2024: by. PZi (1) =zi1. PZi2Zi1 (zi2zi1)qi(z. i2zi1) (24). zi1. PZi1 (zi1)qi(0i2zi1) (25). = ... p1 q(0). 1 q(0) q(01)(29). Similarly, by substituting the upper bound in (21) into (24),we get.
  4. Mismatched Decoding: Generalized MutualInformation under Small…

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/izs2024_gmi.pdf
    29 Jan 2024: IGMI(QX,Ŵ,r). = minWB(QX,Ŵ ,r). sups0. EQXW [is(X,Y )] (24). = sups0. ... minWB(QX,Ŵ ,r). EQXW [is(X,Y )] (25). The minimax theorem [5] is applied to switch the order ofthe optimizations from (24) to (25) since EQXW [is(X,Y )]. is
  5. Coding for the Gilbert-Elliott Channel: AMismatched Decoding…

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/izs2024_gec.pdf
    29 Jan 2024: nGnGG=0. enD(Φ‖Γ|F) (22). = maxnGG[0,nG]. enD(Φ‖Γ|F) (23). = enD(Φ‖Γ|F) (24). where we denote D(Φ‖Γ|F) , minfGG[0,fG] D( ... Applying the LogSumExp(LSE) inequality maxi ai logni=1 exp(ai) log n+ maxi ai and substituting (24) into.
  6. Nearest Neighbor Decodingfor a Class of Compound Channels Francesc ...

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/isit2024_cont.pdf
    20 Jun 2024: 24). When r is sufficiently small, the o() term can beomitted from the constraint, penalizing the cost functionas o(d(ŴW |QX)) = o(r) using the new constraintd(ŴW |QX) r.
  7. Error Exponents of Block Codesfor Finite-State Sources with Mismatch…

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/izs2024_source.pdf
    29 Jan 2024: 24)We thus write the first term in brackets in (21) as.
  8. Minimum probability of error of list -ary hypothesis testing

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/ht_list_iai.pdf
    21 Jun 2023: Boronat 138, 08018 Barcelona, Spain†Corresponding author: Email: albert.guillen@eng.cam.ac.uk. [Received on 27 October 2021; revised on 1 December 2022; accepted on 24 January 2023]. ... 1(M1L1. ) (1 ̄) 1 maxQY. α 1(ML ). (PXY , QX QY ). (4.24). In
  9. Universal Neyman–Pearson classification with a partially known…

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/univ_imaiai.pdf
    20 Jun 2024: engineering, signal processing, medicine and finance among others [24]. ... 1–31. 24. LEHMANN, E. L. & ROMANO, J. P. (2005) Testing statistical hypotheses, Springer Texts in Statistics, 3rd edn.
  10. Concentration Properties of Random Codes

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/AG495/Concentration_Properties_of_Random_Codes-1.pdf
    29 Nov 2023: Manuscript received 24 May 2022; revised 4 August 2023;accepted 12 August 2023. ... 5.4] and the continuous mapping theorem[24, Th. 4.3], it holds that.
  11. Time series modelling and inference with Bayesian Context Trees

    www-sigproc.eng.cam.ac.uk/foswiki/pub/Main/IP307/thesis_ip307.pdf
    6 Jul 2023: Time series modelling and inferencewith Bayesian Context Trees. Ioannis Papageorgiou. Department of EngineeringUniversity of Cambridge. This dissertation is submitted for the degree ofDoctor of Philosophy. St John’s College June 2023. I would like

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