5 papers
Sparse positive maps on qutrits with exact nondecomposability thresholds and PPT-entanglement transitions
Davide Poderini, Angela Rosy Morgillo, Fabio Benatti +3
We study a family of sparse positive maps on qutrits for which positivity, decomposability, and PPT entanglement can all be analysed explicitly. The block structure of the associat…
Perceptual misalignment of texture representations in convolutional neural networks
Ludovica de Paolis, Fabio Anselmi, Alessio Ansuini +1
Mathematical modeling of visual textures traces back to Julesz's intuition that texture perception in humans is based on local correlations between image features. An influential a…
Generating Non-Decomposable Maps with Differentiable Semidefinite Programming
Angela Rosy Morgillo, Davide Poderini, Fabio Anselmi +3
Positive maps that are not decomposable are a key resource in entanglement theory because they can detect bound entangled states, yet systematic methods for constructing them remai…
Zigzag Persistence of Neural Responses to Time-Varying Stimuli
Yuri Gardinazzi, Alessio Ansuini, Eugenio Piasini +2
We use topological data analysis to study neural population activity in the Sensorium 2023 dataset, which records responses from thousands of mouse visual cortex neurons to diverse…
The Spectral Bias of Shallow Neural Network Learning is Shaped by the Choice of Non-linearity
Justin Sahs, Ryan Pyle, Fabio Anselmi +1
Despite classical statistical theory predicting severe overfitting, modern massively overparameterized neural networks still generalize well. This unexpected property is attributed…