Work

Sample Complexity of the Boolean Multireference Alignment Problem

Year: 2017

Type: preprint

Abstract: The Boolean multireference alignment problem consists in recovering a Boolean signal from multiple shifted and noisy observations. In this paper we obtain an expression for the error exponent of the maximum A posteriori decoder. This expression is used to characterize the number of measurements needed for signal recovery in the low SNR regime, in terms of higher order autocorrelations of the signal. The characterization is explicit for various signal dimensions, such as prime and even dimensions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1701.07540

Authors: Abbe, Emmanuel, Pereira, Joao, Singer, Amit

Institution: Princeton University

Language: English

Topic: Sparse and Compressive Sensing Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Gordon and Betty Moore Foundation, National Institute of General Medical Sciences, Air Force Office of Scientific Research, Army Research Office

Awards: G1523888516, CAREER:Information-Theoretic Foundations of Community Detection and Graphical Channels, Improved Algorithms for Macromolecular Structure Determination by cyro-EM, G3392305090, G4587711409, G6071252945, G657448715, G6671297155, G7452299184, G7830320759, G8010873704, G8952215554

OpenAlex ID: W2950172446

Cites: 9

Cited by:

Related to: 10