5 citations · 5 across the 7 of their papers we have counts for
7 papers
Koopman early warning signals for bifurcation and rate-induced tipping
Juan Nathaniel, Carla Roesch, Derek DeSantis +5
Abrupt transitions in complex systems are often preceded by early warning signals. However, most indicators rely on the notion of critical slowing down and do not generally extend…
Dynamic Basis Function Interpolation for Adaptive In Situ Data Integration in Ocean Modeling
Derek DeSantis, Ayan Biswas, Earl Lawrence +1
We propose a new method for combining in situ buoy measurements with Earth system models (ESMs) to improve the accuracy of temperature predictions in the ocean. The technique utili…
Boolean Matrix Factorization via Nonnegative Auxiliary Optimization
Duc P. Truong, Erik Skau, Derek Desantis +1
A novel approach to Boolean matrix factorization (BMF) is presented. Instead of solving the BMF problem directly, this approach solves a nonnegative optimization problem with the c…
Factorization of Binary Matrices: Rank Relations, Uniqueness and Model Selection of Boolean Decomposition
Derek DeSantis, Erik Skau, Duc P. Truong +1
The application of binary matrices are numerous. Representing a matrix as a mixture of a small collection of latent vectors via low-rank decomposition is often seen as an advantage…
Coarse-Grain Cluster Analysis of Tensors with Application to Climate Biome Identification
Derek DeSantis, Phillip J. Wolfram, Katrina Bennett +1
A tensor provides a concise way to codify the interdependence of complex data. Treating a tensor as a d-way array, each entry records the interaction between the different indices.…
Nonnegative Canonical Tensor Decomposition with Linear Constraints: nnCANDELINC
Boian Alexandrov, Derek DeSantis, Gianmarco Manzini +1
There is an emerging interest in tensor factorization applications in big-data analytics and machine learning. To speed up the factorization of extra-large datasets, organized in m…
Operator algebras generated by left invertibles
Derek DeSantis
Operator algebras generated by partial isometries and their adjoints form the basis for some of the most well studied classes of C*-algebras. The primary object of this paper is th…