Lower Bounds on Adaptive Sensing for Matrix Recovery

Authors: Praneeth Kacham, David Woodruff

NeurIPS 2023 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We show that any adaptive algorithm that uses k linear measurements in each round and outputs an approximation as in (1) with probability 9/10 must run for t = Ω(log(n2/k)/ log log n) rounds. Our techniques also readily extend to obtain lower bounds on adaptive algorithms for tensor recovery.
Researcher Affiliation Academia Praneeth Kacham Computer Science Department Carnegie Mellon University pkacham@cs.cmu.edu David P. Woodruff Computer Science Department Carngie Mellon University dwoodruf@cs.cmu.edu
Pseudocode No The paper focuses on theoretical lower bounds and does not include any pseudocode or algorithm blocks.
Open Source Code No The paper does not provide any statements about releasing open-source code or links to a code repository for the described methodology.
Open Datasets No The paper is theoretical and does not involve empirical studies with datasets.
Dataset Splits No The paper is theoretical and does not involve empirical studies with dataset splits.
Hardware Specification No The paper is theoretical and does not describe any experimental setup or specific hardware used.
Software Dependencies No The paper is theoretical and does not specify any software dependencies with version numbers.
Experiment Setup No The paper is theoretical and does not include details about an experimental setup or hyperparameters.