Fusion frames and distributed processing

PG Casazza, G Kutyniok, S Li - Applied and computational harmonic …, 2008 - Elsevier
Let [Formula: see text] be a (redundant) sequence of subspaces of a Hilbert space each
being endowed with a weight vi, and let H be the closed linear span of the Wis, a composite …

Constructing tight fusion frames

PG Casazza, M Fickus, DG Mixon, Y Wang… - Applied and …, 2011 - Elsevier
Tight fusion frames are an emerging concept of frame theory with applications in distributed
processing and communications. However, very little has been determined about the …

Robust dimension reduction, fusion frames, and Grassmannian packings

G Kutyniok, A Pezeshki, R Calderbank, T Liu - Applied and Computational …, 2009 - Elsevier
We consider estimating a random vector from its measurements in a fusion frame, in
presence of noise and subspace erasures. A fusion frame is a collection of subspaces, for …

[PDF][PDF] Robustness of fusion frames under erasures of subspaces and of local frame vectors

PG Casazza, G Kutyniok - Contemp. Math, 2008 - Citeseer
Fusion frames were recently introduced to model applications under distributed processing
requirements. In this paper we study the behavior of fusion frames under erasures of …

A brief introduction to Hilbert space frame theory and its applications

PG Casazza, RG Lynch - Finite Frame Theory: A Complete …, 2016 - books.google.com
A brief introduction to Hilbert space frame theory and its applications Page 16 Proceedings
of Symposia in Applied Mathematics Volume 73 , 2016 http://dx. doi. org/10.1090/psapm/073/00627 …

A Survey of Fusion Frames in Hilbert Spaces

L Köhldorfer, P Balazs, P Casazza, S Heineken… - … Analysis in the Spirit of J …, 2024 - Springer
Fusion frames are a very active area of research today because of their myriad of
applications in pure mathematics, applied mathematics, engineering, medicine, signal and …

A feature-based information-theoretic approach for detecting interpretable, long-timescale pairwise interactions from time series

A Nguyen, O McMullin, JT Lizier, BD Fulcher - arxiv preprint arxiv …, 2024 - arxiv.org
Quantifying relationships between components of a complex system is critical to
understanding the rich network of interactions that characterize the behavior of the system …

Characterization and Construction of K-Fusion Frames and Their Duals in Hilbert Spaces

F Arabyani Neyshaburi, AA Arefijamaal - Results in Mathematics, 2018 - Springer
K-frames, a new generalization of frames, were recently considered by L. G ̆ aa˘ vruţa in
connection with atomic systems and some problems arising in sampling theory. Also, fusion …

Sparse fusion frames: existence and construction

R Calderbank, PG Casazza, A Heinecke… - Advances in …, 2011 - Springer
Fusion frame theory is an emerging mathematical theory that provides a natural framework
for performing hierarchical data processing. A fusion frame can be regarded as a frame-like …

Tight p-fusion frames

C Bachoc, M Ehler - Applied and Computational Harmonic Analysis, 2013 - Elsevier
Fusion frames enable signal decompositions into weighted linear subspace components.
For positive integers p, we introduce p-fusion frames, a sharpening of the notion of fusion …