Fast Channel Simulation via Error-Correcting Codes

Published: 25 Sept 2024, Last Modified: 06 Nov 2024NeurIPS 2024 posterEveryoneRevisionsBibTeXCC BY 4.0
Keywords: channel simulation, polar codes, linear codes, Error-correcting codes, quantization, data compression, DNN-based data compression
Abstract: We consider the design of practically-implementable schemes for the task of channel simulation. Existing methods do not scale with the number of simultaneous uses of the channel and are therefore unable to harness the amortization gains associated with simulating many uses of the channel at once. We show how techniques from the theory of error-correcting codes can be applied to achieve scalability and hence improved performance. As an exemplar, we focus on how polar codes can be used to efficiently simulate i.i.d. copies of a class of binary-output channels.
Supplementary Material: zip
Primary Area: Probabilistic methods (for example: variational inference, Gaussian processes)
Submission Number: 19308
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