67 citations · 143 across the 32 of their papers we have counts for
32 papers
Spaces and sequences in the hippocampus: a homological perspective
Andrey Babichev, Vladimir Vashin, Yuri Dabaghian
Topological techniques have become a popular tool for studying information flows in neural networks. In particular, simplicial homology theory is used to analyze how cognitive repr…
Grid Cells, Border Cells and Discrete Complex Analysis
Y. Dabaghian
We propose a mechanism enabling the appearance of border cells -- neurons firing at the boundaries of the navigated enclosures. The approach is based on the recent discovery of dis…
Grid Cell Percolation
Yuri Dabaghian
Grid cells play a principal role in enabling mammalian cognitive representations of ambient environments. The key property of these cells -- the regular arrangement of their firing…
Learning Orientations: a Discrete Geometry Model
Y. Dabaghian
In the mammalian brain, many neuronal ensembles are involved in representing spatial structure of the environment. In particular, there exist cells that encode the animal's locatio…
Spatial representability of neuronal activity
D. Akhtiamov, A. G. Cohn, Y. Dabaghian
A common approach to interpreting spiking activity is based on identifying the firing fields---regions in physical or configuration spaces that elicit responses of neurons. Common…
Topological stability of the hippocampal spatial map and synaptic transience
Yuri Dabaghian
Spatial awareness in mammals is based on internalized representations of the environment---cognitive maps---encoded by networks of spiking neurons. Although behavioral studies sugg…