Logarithmic Regret for Learning Linear Quadratic Regulators Efficiently

Authors: Asaf Cassel, Alon Cohen, Tomer Koren

ICML 2020 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We present new efficient algorithms that achieve, perhaps surprisingly, regret that scales only (poly)logarithmically with the number of steps in two scenarios: when only the state transition matrix A is unknown, and when only the stateaction transition matrix B is unknown and the optimal policy satisfies a certain non-degeneracy condition. On the other hand, we give a lower bound that shows that when the latter condition is violated, square root regret is unavoidable.
Researcher Affiliation Collaboration 1School of Computer Science, Tel Aviv University 2Google Research, Tel Aviv.
Pseudocode Yes Algorithm 1
Open Source Code No The paper does not provide a statement about releasing source code or include a link to a code repository.
Open Datasets No This is a theoretical paper. No datasets, public or otherwise, are mentioned or used for empirical evaluation.
Dataset Splits No This is a theoretical paper. No dataset split information (training, validation, or testing) is provided as no empirical experiments are conducted.
Hardware Specification No This is a theoretical paper. No specific hardware specifications are mentioned as no empirical experiments are reported.
Software Dependencies No This is a theoretical paper. No specific software dependencies with version numbers are mentioned as no empirical experiments are reported.
Experiment Setup No This is a theoretical paper. No specific experimental setup details, hyperparameters, or training configurations are provided as no empirical experiments are conducted.