Peter Elias's scientific contributions

Publication (1)

Article
Countable prefix codeword sets are constructed with the universal property that assigning messages in order of decreasing probability to codewords in order of increasing length gives an average code-word length, for any message set with positive entropy, less than a constant times the optimal average codeword length for that source. Some of the set...

Citations

... Example proposals include Brain-Floats [11] and TensorFloats [2], which make a different tradeoff between the number of exponent and significand bits than ieee 754. More significant departures from ieee 754 include include Unums [8], Posits [9], URRs [10], and Elias codes [20], some of which generalize universal codes originally developed for positive integers [7] to the reals. Many of these representations can be synthesized using number system frameworks that allow experimenting with alternative number representations [18,19,20,23,25], and several examples have demonstrated the benefits of such representations in numerical applications in terms of improving the accuracy per bit stored [14,16,20]. ...