Online Learning of k-CNF Boolean Functions

Authors: Joel Veness, Marcus Hutter, Laurent Orseau, Marc Bellemare

IJCAI 2015 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical This paper revisits the problem of learning a k-CNF Boolean function from examples, for fixed k, in the context of online learning under the logarithmic loss. We give a Bayesian interpretation to one of Valiant s classic PAC learning algorithms, which we then build upon to derive three efficient, online, probabilistic, supervised learning algorithms for predicting the output of an unknown k-CNF Boolean function. We analyze the loss of our methods, and show that the cumulative log-loss can be upper bounded by a polynomial function of the size of each example.
Researcher Affiliation Collaboration 1Google Deep Mind, 2Australian National University {veness,lorseau,bellemare}@google.com, marcus.hutter@anu.edu.au
Pseudocode Yes Algorithm 1 ζd(x1:n; a1:n); Algorithm 2 πd(x1:n; a1:n); Algorithm 3 ωd(x1:n; a1:n)
Open Source Code No The paper does not contain any explicit statement about releasing source code or a link to a code repository.
Open Datasets No The paper is theoretical and discusses learning from 'examples' without specifying any public datasets or providing access information for any data used.
Dataset Splits No The paper is theoretical and does not describe any specific training, validation, or test dataset splits.
Hardware Specification No The paper is theoretical and does not mention any specific hardware used for experiments.
Software Dependencies No The paper is theoretical and does not mention specific software dependencies with version numbers.
Experiment Setup No The paper is theoretical and focuses on algorithm design and analysis. It does not describe any specific experimental setup details such as hyperparameters or training configurations.