Title
Clustered Gaussian Graphical Model Via Symmetric Convex Clustering
Abstract
Knowledge of functional groupings of neurons can shed light on structures of neural circuits and is valuable in many types of neuroimaging studies. However, accurately determining which neurons carry out similar neurological tasks via controlled experiments is both labor-intensive and prohibitively expensive on a large scale. Thus, it is of great interest to cluster neurons that have similar connectivity profiles into functionally coherent groups in a data-driven manner. In this work, we propose the clustered Gaussian graphical model (GGM) and a novel symmetric convex clustering penalty in an unified convex optimization framework for inferring functional clusters among neurons from neural activity data. A parallelizable multi-block Alternating Direction Method of Multipliers (ADMM) algorithm is used to solve the corresponding convex optimization problem. In addition, we establish convergence guarantees for the proposed ADMM algorithm. Experimental results on both synthetic data and real-world neuroscientific data demonstrate the effectiveness of our approach.
Year
DOI
Venue
2019
10.1109/DSW.2019.8755774
2019 IEEE Data Science Workshop (DSW)
Keywords
Field
DocType
Gaussian graphical model,Convex clustering,ADMM,Computational neuroscience
Parallelizable manifold,Convergence (routing),Mathematical optimization,Algorithm,Regular polygon,Synthetic data,Gaussian,Graphical model,Cluster analysis,Convex optimization,Mathematics
Journal
Volume
ISBN
Citations 
abs/1905.13251
978-1-7281-0709-7
0
PageRank 
References 
Authors
0.34
6
2
Name
Order
Citations
PageRank
Tianyi Yao100.68
Genevera I. Allen28911.18