Linder, TamásLugosi, GáborUniversitat Pompeu Fabra. Departament d'Economia i Empresa2017-07-262017-07-262000-02-01IEEE Transactions on Information Theory, 47:2533--2538, 2001http://hdl.handle.net/10230/1026We consider adaptive sequential lossy coding of bounded individual sequences when the performance is measured by the sequentially accumulated mean squared distortion. The encoder and the decoder are connected via a noiseless channel of capacity $R$ and both are assumed to have zero delay. No probabilistic assumptions are made on how the sequence to be encoded is generated. For any bounded sequence of length $n$, the distortion redundancy is defined as the normalized cumulative distortion of the sequential scheme minus the normalized cumulative distortion of the best scalar quantizer of rate $R$ which is matched to this particular sequence. We demonstrate the existence of a zero-delay sequential scheme which uses common randomization in the encoder and the decoder such that the normalized maximum distortion redundancy converges to zero at a rate $n^{-1/5}\log n$ as the length of the encoded sequence $n$ increases without bound.application/pdfengL'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commonsinfo:eu-repo/semantics/workingPaperlossy source codingscalar quantizationsequential predictionindividual sequencesStatistics, Econometrics and Quantitative Methodsinfo:eu-repo/semantics/openAccess