### Abstract

A problem of classification of local field potentials (LFPs), recorded from the prefrontal cortex of a macaque monkey, is considered. An adult macaque monkey is trained to perform a memory based saccade. The objective is to decode the eye movement goals from the LFP collected during a memory period. The LFP classification problem is modeled as that of classification of smooth functions embedded in Gaussian noise. It is then argued that using minimax function estimators as features would lead to consistent LFP classifiers. The theory of Gaussian sequence models allows us to represent minimax estimators as finite dimensional objects. The LFP classifier resulting from this mathematical endeavor is a spectrum based technique, where Fourier series coefficients of the LFP data, followed by appropriate shrinkage and thresholding, are used as features in a linear discriminant classifier. The classifier is then applied to the LFP data to achieve high decoding accuracy. The function classification approach taken in the paper also provides a systematic justification for using Fourier series, with shrinkage and thresholding, as features for the problem, as opposed to using the power spectrum. It also suggests that phase information is crucial to the decision making.

Original language | English (US) |
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Title of host publication | 2018 IEEE Statistical Signal Processing Workshop, SSP 2018 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 218-222 |

Number of pages | 5 |

ISBN (Print) | 9781538615706 |

DOIs | |

State | Published - Aug 29 2018 |

Event | 20th IEEE Statistical Signal Processing Workshop, SSP 2018 - Freiburg im Breisgau, Germany Duration: Jun 10 2018 → Jun 13 2018 |

### Publication series

Name | 2018 IEEE Statistical Signal Processing Workshop, SSP 2018 |
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### Other

Other | 20th IEEE Statistical Signal Processing Workshop, SSP 2018 |
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Country | Germany |

City | Freiburg im Breisgau |

Period | 6/10/18 → 6/13/18 |

### Keywords

- Block-wise James-Stein estimator
- Gaussian sequence model
- brain machine interface (BMI
- minimax function estimators
- pinsker's theorem

### ASJC Scopus subject areas

- Signal Processing
- Instrumentation
- Computer Networks and Communications

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## Cite this

*2018 IEEE Statistical Signal Processing Workshop, SSP 2018*(pp. 218-222). [8450778] (2018 IEEE Statistical Signal Processing Workshop, SSP 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SSP.2018.8450778