Local sign stability and its implications for spectra of sparse random graphs and stability of ecosystems

Autor: Pietro Valigi, Izaak Neri, Chiara Cammarota

Publikováno v: Journal of Physics: Complexity, Vol 5, Iss 1, p 015017 (2024)

We study the spectral properties of sparse random graphs with different topologies and type of interactions, and their implications on the stability of complex systems, with particular attention to ecosystems. Specifically, we focus on the behaviour

Externí odkaz: https://doaj.org/article/9c2b91be06694ccb9e0b48fcbd32ee87

Complex Energy Landscapes in Spiked-Tensor and Simple Glassy Models: Ruggedness, Arrangements of Local Minima, and Phase Transitions

Autor: Valentina Ros, Gerard Ben Arous, Giulio Biroli, Chiara Cammarota

Publikováno v: Physical Review X, Vol 9, Iss 1, p 011003 (2019)

We study rough high-dimensional landscapes in which an increasingly stronger preference for a given configuration emerges. Such energy landscapes arise in glass physics and inference. In particular, we focus on random Gaussian functions and on the sp

Externí odkaz: https://doaj.org/article/d6319006785d4e299006e5440ef9b577

Fluctuations and Shape of Cooperative Rearranging Regions in Glass-Forming Liquids

Autor: Giulio Biroli, Chiara Cammarota

Publikováno v: Physical Review X, Vol 7, Iss 1, p 011011 (2017)

We develop a theory of amorphous interfaces in glass-forming liquids. We show that the statistical properties of these surfaces, which separate regions characterized by different amorphous arrangements of particles, coincide with the ones of domain w

Externí odkaz: https://doaj.org/article/61eb0ba18e7747c5adf8b51213ae78ff

Properties of Equilibria and Glassy Phases of the Random Lotka-Volterra Model with Demographic Noise

Autor: Felix Roy, Ada Altieri, Giulio Biroli, Chiara Cammarota

Publikováno v: Physical Review Letters
Physical Review Letters, American Physical Society, 2021, 126 (25), pp.258301. ⟨10.1103/PhysRevLett.126.258301⟩
Physical Review Letters, 2021, 126 (25), pp.258301. ⟨10.1103/PhysRevLett.126.258301⟩

In this letter we study a reference model in theoretical ecology, the disordered Lotka-Volterra model for ecological communities, in the presence of finite demographic noise. Our theoretical analysis, which takes advantage of a mapping to an equilibr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8695ee83e58c83732347ce270da1e078
http://hdl.handle.net/11573/1623024

Marvels and pitfalls of the Langevin algorithm in noisy high-dimensional inference

Autor: Lenka Zdeborová, Florent Krzakala, Chiara Cammarota, Pierfrancesco Urbani, Giulio Biroli, Stefano Sarao Mannelli

Publikováno v: Cammarota, C, Sarao, S, Biroli, G, Krzakala, F, Zdeborova, L & Urbani, P 2020, ' Marvels and pitfalls of the Langevin algorithm in noisy high-dimensional inference ', Physical Review X, vol. 10, no. 1, 011057, pp. 011057-1-011057-41 . https://doi.org/10.1103/PhysRevX.10.011057
Physical Review X
Physical Review X, American Physical Society, 2020, 10 (011057)
Physical Review X, Vol 10, Iss 1, p 011057 (2020)
Physical Review X, 2020, 10, pp.011057

Gradient-descent-based algorithms and their stochastic versions have widespread applications in machine learning and statistical inference. In this work we perform an analytic study of the performances of one of them, the Langevin algorithm, in the c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8cfee70840f568aba77ca390ba26e68e
https://kclpure.kcl.ac.uk/en/publications/84bc9c04-f4b7-4db0-971a-fd29a083f3ca