Estimating Entropy of Distributions in Constant Space

Authors: Jayadev Acharya, Sourbh Bhadane, Piotr Indyk, Ziteng Sun

NeurIPS 2019 | Venue PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical Our main contribution is an algorithm that requires O k log(1/")2 samples and a constant O(1) memory words of space and outputs a " estimate of H(p). Our algorithm partitions [0, 1] into intervals and estimates the entropy contribution of probability values in each interval.
Researcher Affiliation Academia Jayadev Acharya Cornell University EMAIL Sourbh Bhadane Cornell University EMAIL Piotr Indyk Massachusetts Institute of Technology EMAIL Ziteng Sun Cornell University EMAIL
Pseudocode Yes Algorithm 1 Entropy estimation with constant space: Simple Algorithm; Algorithm 2 A : ESTINT (N, x); Algorithm 3 ESTPROBINT (N, R); Algorithm 4 Estimating H1 and H2 : CONDEXP (N1, N2, R1, R2); Algorithm 5 Entropy Estimation with constant space: Two Intervals Algorithm; Algorithm 6 Entropy Estimation with constant space: General Intervals Algorithm.
Open Source Code No The paper does not provide any statement or link regarding the availability of open-source code for the described methodology.
Open Datasets No This is a theoretical paper focused on algorithm design and complexity analysis. It does not use or refer to any specific datasets for training.
Dataset Splits No This is a theoretical paper focused on algorithm design and complexity analysis. It does not use or refer to any specific datasets or their splits for validation.
Hardware Specification No This is a theoretical paper presenting algorithms and their complexity analysis. It does not describe any experimental setup or hardware used for running experiments.
Software Dependencies No This is a theoretical paper presenting algorithms and their complexity analysis. It does not mention any specific software or libraries with version numbers.
Experiment Setup No This is a theoretical paper focused on algorithm design and complexity analysis. It does not describe any experimental setup, hyperparameters, or training configurations.