Zobrazeno 1 - 10
of 10 103
pro vyhledávání: '"Salvatori AS"'
Scattering amplitudes for colored theories have recently been formulated in a new way, in terms of curves on surfaces. In this note we describe a canonical set of functions we call surface functions, associated to all orders in the topological expans
Externí odkaz:
http://arxiv.org/abs/2412.21027
Energy-based learning algorithms, such as predictive coding (PC), have garnered significant attention in the machine learning community due to their theoretical properties, such as local operations and biologically plausible mechanisms for error corr
Externí odkaz:
http://arxiv.org/abs/2410.04708
Autor:
Murru, Nadir, Salvatori, Giulia
We propose a novel factorization algorithm that leverages the theory underlying the SQUFOF method, including reduced quadratic forms, infrastructural distance, and Gauss composition. We also present an analysis of our method, which has a computationa
Externí odkaz:
http://arxiv.org/abs/2409.03486
Unexpected stimuli induce "error" or "surprise" signals in the brain. The theory of predictive coding promises to explain these observations in terms of Bayesian inference by suggesting that the cortex implements variational inference in a probabilis
Externí odkaz:
http://arxiv.org/abs/2408.05834
Autor:
Friston, Karl, Heins, Conor, Verbelen, Tim, Da Costa, Lancelot, Salvatori, Tommaso, Markovic, Dimitrije, Tschantz, Alexander, Koudahl, Magnus, Buckley, Christopher, Parr, Thomas
This paper describes a discrete state-space model -- and accompanying methods -- for generative modelling. This model generalises partially observed Markov decision processes to include paths as latent variables, rendering it suitable for active infe
Externí odkaz:
http://arxiv.org/abs/2407.20292
Data imputation and data generation have important applications for many domains, like healthcare and finance, where incomplete or missing data can hinder accurate analysis and decision-making. Diffusion models have emerged as powerful generative mod
Externí odkaz:
http://arxiv.org/abs/2407.02549
Autor:
Pinchetti, Luca, Qi, Chang, Lokshyn, Oleh, Olivers, Gaspard, Emde, Cornelius, Tang, Mufeng, M'Charrak, Amine, Frieder, Simon, Menzat, Bayar, Bogacz, Rafal, Lukasiewicz, Thomas, Salvatori, Tommaso
In this work, we tackle the problems of efficiency and scalability for predictive coding networks in machine learning. To do so, we first propose a library called PCX, whose focus lies on performance and simplicity, and provides a user-friendly, deep
Externí odkaz:
http://arxiv.org/abs/2407.01163
Autor:
Salvatori, Giulio
We study the construction of local subtraction schemes through the lenses of tropical geometry. We focus on individual Feynman integrals in parametric presentation, and think of them as particular instances of Euler integrals. We provide a necessary
Externí odkaz:
http://arxiv.org/abs/2406.14606
We present a characterization of the algebraic integers with continued fraction expansions of the form $[a_0, \overline{a_1, \ldots, a_n, s}]$, where $(a_1, \ldots, a_n)$ is a palindrome and $s \in \mathbb{N}_{\geq 1}$. In particular, we focus on the
Externí odkaz:
http://arxiv.org/abs/2405.06430
Autor:
Zhou, Jianxin, Fejza, Kadishe, Salvatori, Massimiliano, Della Latta, Daniele, Hermann, Gregory M., Di Fulvio, Angela
Our understanding of organs at risk is progressing to include physical small tissues such as coronary arteries and the radiosensitivities of many small organs and tissues are high. Therefore, the accurate segmentation of small volumes in external rad
Externí odkaz:
http://arxiv.org/abs/2404.04202