[HTML][HTML] Activation of serotonin neurons promotes active persistence in a probabilistic foraging task

E Lottem, D Banerjee, P Vertechi, D Sarra… - Nature …, 2018 - nature.com
… There was no effect of sequence length on behavior, p > 0.05, linear regression analysis …
(p < 0.001). c Same as b for the effect of photostimulation on the number of nose-pokes per trial (…

[PDF][PDF] Inference-based decisions in a hidden state foraging task: differential contributions of prefrontal cortical areas

P Vertechi, E Lottem, D Sarra, B Godinho, I Treves… - Neuron, 2020 - cell.com
Vertechi et al. design a behavioral task to probe inference in mice and … p value is too
small, we do not report the value but simply write p < 1e-10, which is floating point notation for p

[HTML][HTML] Learning to represent signals spike by spike

W Brendel, R Bourdoukan, P Vertechi… - PLoS computational …, 2020 - journals.plos.org
Networks based on coordinated spike coding can encode information with high efficiency in
the spike trains of individual neurons. These networks exhibit single-neuron variability and …

[HTML][HTML] Beyond topological persistence: Starting from networks

MG Bergomi, M Ferri, P Vertechi, L Zuffi - Mathematics, 2021 - mdpi.com
… we mean a class P ⊆ Obj ( C ) such that if an object X belongs to P and object Y … P of graphs
such that if a graph X belongs to P and graph Y is isomorphic to X, then also Y belongs to P

[HTML][HTML] Generalized Persistence for Equivariant Operators in Machine Learning

MG Bergomi, M Ferri, A Mella, P Vertechi - Machine Learning and …, 2023 - mdpi.com
… We consider an image I and split it in a collection of patches { P ( h , w ) i } of size ( h , w )
∈ N 2 . For every pixel pP i , we compute σ ( G m , n k ) ( p ) for some fixed values of m , n …

Dependent optics

P Vertechi - arXiv preprint arXiv:2204.09547, 2022 - arxiv.org
… Y ′ → X′ with a map put: get∗(Q) → P, where P and Q take the role of X ×X′ and Y × Y ′
and … As the target category is arbitrary, P does not correspond to a module over an enriched …

Rank-based persistence

MG Bergomi, P Vertechi - arXiv preprint arXiv:1905.09151, 2019 - arxiv.org
… An object P and the morphisms P p1 −→ X, P p2 −→ Y is a pullback if the following
diagram … commutes and, given another such P ,p1,p2 we have a unique morphism P

Unsupervised learning of an efficient short-term memory network

P Vertechi, W Brendel… - Advances in neural …, 2014 - proceedings.neurips.cc
Learning in recurrent neural networks has been a topic fraught with difficulties and problems.
We here report substantial progress in the unsupervised learning of recurrent networks that …

Machines of finite depth: Towards a formalization of neural networks

P Vertechi, MG Bergomi - Proceedings of the AAAI Conference on …, 2023 - ojs.aaai.org
… family of functions fp, where p varies within a parameter space P. Let P be a normed vector
space of parameters. A parametric machine is a Ck family of machines f(p, x): P × X → X such …

Neural network layers as parametric spans

MG Bergomi, P Vertechi - arXiv preprint arXiv:2208.00809, 2022 - arxiv.org
… e authors of [12] postulate a neighborhood relation q ∈ N(p) on a Riemannian manifold X,
together with local d-dimensional coordinates u(p, q) on pairs of neighbors. In our framework, …