Publications (10)
Numerical tolerance for spectral decompositions of random matrices
Avanti Athreya, Michael Kane, Bryan Lewis +5
We precisely quantify the impact of statistical error in the quality of a numerical approximation to a random matrix eigendecomposition, and under mild conditions, we use this to i…
Infrastructure Resilience Curves: Performance Measures and Summary Metrics
Craig Poulin, Michael Kane
Resilience curves are used to communicate quantitative and qualitative aspects of system behavior and resilience to stakeholders of critical infrastructure. Generally, these curves…
Economic controls co-design of hybrid microgrids with tidal/PV generation and lithium ion/flow battery storage
Jonathan Cohen, Michael Kane, Alexia Marriott +2
Islanded microgrids powered by renewable energy require costly energy storage systems due to the uncontrollable generators. Energy storage needs are amplified when load and generat…
Percolation Threshold Results on \Erdos-\Renyi Graphs: an Empirical Process Approach
Michael Kane
In this paper we define a directed percolation over Erdos-Renyi graphs and derive weak limit results for the resulting stochastic process.
Efficient Thresholded Correlation using Truncated Singular Value Decomposition
James Baglama, Michael Kane, Bryan Lewis +1
Efficiently computing a subset of a correlation matrix consisting of values above a specified threshold is important to many practical applications. Real-world problems in genomics…
Bayesian local exchangeability design for phase II basket trials
Yilin Liu, Michael Kane, Denise Esserman +3
We propose an information borrowing strategy for the design and monitoring of phase II basket trials based on the local multisource exchangeability assumption between baskets (dise…