Somwrita Sarkar

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Many real world networks are reported to have hierarchically modular organization. However, there exists no algorithm-independent metric to characterize hierarchical modularity in a complex system. The main results of the paper are a set of methods to address this problem. First, classical results from random matrix theory are used to derive the spectrum of(More)
The anatomical structure of the brain can be observed via non-invasive techniques such as diffusion imaging. However , these are imperfect because they miss connections that are actually known to exist, especially long range inter-hemispheric ones. In this paper we formulate the inverse problem of inferring the structural connectivity of brain networks from(More)
a r t i c l e i n f o a b s t r a c t Investing in R&D for a product employing new technologies is a challenging issue for companies and governments alike, especially at the critical juncture of deciding the degree of resource allocation, if any. Decision-makers generally rely either on historical data or intuitive prediction to gauge the rate of(More)
An AI algorithm to automate symbolic design reformulation is an enduring challenge in design automation. Existing research shows that design tools either require high levels of knowledge engineering or large databases of training cases. To address these limitations, we present a singular value decomposition (SVD) and unsupervised clustering based method(More)
Rotation dynamics of eigenvectors of modular network adjacency matrices under random perturbations are presented. In the presence of q communities, the number of eigenvectors corresponding to the q largest eigenvalues form a "community" eigenspace and rotate together, but separately from that of the "bulk" eigenspace spanned by all the other eigenvectors.(More)
The new generation of Head Mounted Displays (HMDs) is beginning to make the much-anticipated arrival of augmented reality (AR) and virtual reality (VR) in consumer products reality. A large body of research from the last three decades has laid the foundation for the concepts now emerging in the market. Yet, there has been little focus on the analysis of(More)
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