English, Article, Journal or magazine article edition: A Zero-delay Sequential Scheme for Lossy Coding of Individual Sequences Tamás Linder; Gábor Lugosi

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Bookmark: http://trove.nla.gov.au/version/154644
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • A Zero-delay Sequential Scheme for Lossy Coding of Individual Sequences
Author
  • Tamás Linder
  • Gábor Lugosi
Physical Description
  • preprint
Notes
  • We 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.
  • Lossy source coding, scalar quantization, sequential prediction, individual sequences
  • RePEc:upf:upfgen:506
Language
  • English
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