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Geometry of spiking patterns in early visual cortex: A topological data analytic approach
Guidolin, A.; Desroches, M.
; Victor, J. D.; Purpura, K. P.; Rodrigues, S. (2022-11-16)
; Victor, J. D.; Purpura, K. P.; Rodrigues, S. (2022-11-16)
In the brain, spiking patterns live in a high-dimensional space of neurons and time. Thus, determining the intrinsic structure of this space presents a theoretical and experimental challenge. To address this challenge, we ...
Computing Higher Leray–Serre Spectral Sequences of Towers of Fibrations
Guidolin, A.; Romero, A. (2020-10-27)
(2020-10-27)
The higher Leray–Serre spectral sequence associated with a tower of fibrations represents a generalization of the classical Leray–Serre spectral sequence of a fibration. In this work, we present algorithms to compute higher ...
Targeting Infectious Agents as a Therapeutic Strategy in Alzheimer’s Disease
Fülöp, T.; Munawara, U.; Larbi, A.; Desroches, M.; Rodrigues, S.; Catanzaro, M.; Guidolin, A.; Khalil, A.; Bernier, F.; Barron, A.E.; Hirokawa, K.; Beauregard, P.B.; Dumoulin, D.; Bellenger, J.-P.; Witkowski, J.M.; Frost, E. (2020-05-26)
; Rodrigues, S.; Catanzaro, M.; Guidolin, A.; Khalil, A.; Bernier, F.; Barron, A.E.; Hirokawa, K.; Beauregard, P.B.; Dumoulin, D.; Bellenger, J.-P.; Witkowski, J.M.; Frost, E. (2020-05-26)
Alzheimer’s disease (AD) is the most prevalent dementia in the world. Its cause(s) are presently largely unknown. The most common explanation for AD, now, is the amyloid cascade hypothesis, which states that the cause of ...
Computing Multipersistence by Means of Spectral Systems
Guidolin, A.; Divasón, J.; Romero, A.; Vaccarino, F. (2019-07-08)
; Vaccarino, F. (2019-07-08)
In their original setting, both spectral sequences and persistent homology are algebraic topology tools defined from filtrations of objects (e.g. topological spaces or simplicial complexes) indexed over the set Z of integer ...