221 citations · 1k across the 45 of their papers we have counts for
4 papers · 1 filter
Innovation Pursuit: A New Approach to Subspace Clustering
Mostafa Rahmani, George Atia
In subspace clustering, a group of data points belonging to a union of subspaces are assigned membership to their respective subspaces. This paper presents a new approach dubbed In…
Formalized Quantum Stochastic Processes and Hidden Quantum Models with Applications to Neuron Ion Channel Kinetics
Alan Paris, George Atia, Azadeh Vosoughi +1
A new class of formal latent-variable stochastic processes called hidden quantum models (HQM's) is defined in order to clarify the theoretical foundations of ion channel signal pro…
Randomized Robust Subspace Recovery for High Dimensional Data Matrices
Mostafa Rahmani, George Atia
This paper explores and analyzes two randomized designs for robust Principal Component Analysis (PCA) employing low-dimensional data sketching. In one design, a data sketch is cons…
High Dimensional Low Rank plus Sparse Matrix Decomposition
Mostafa Rahmani, George Atia
This paper is concerned with the problem of low rank plus sparse matrix decomposition for big data. Conventional algorithms for matrix decomposition use the entire data to extract…