Blog
Sulle matrici intere commutanti
Dati $ d, N \in \mathbb{N}$, we define $\mathfrak{C}_D(N)$ to be the number of pairs of $d\times d$ matrices $A,B$ con voci in $[-N,N] \cap \mathbb{Z}$ tale che $AB = BA$. Lo dimostriamo $$ N^{10} \ll \mathfrak{C}_3(N) \ll N^{10},$$ thus confirming a...
Rappresentazioni di variabili discrete quantistiche
We present a fault-tolerant quantum algorithm for implementing the Discrete Variable Representation (DVR) trasformazione, a technique widely used in simulations of quantum-mechanical Hamiltonians. DVR provides a diagonal representation of local operators and enables sparse Hamiltonian structures, making it a powerful alternative to...
Condizione al contorno di equilibrio radiativo e analisi di correlazione superfici catalitiche in DSMC
This study integrates radiative equilibrium boundary conditions on a catalytic surface within the Direct Simulation Monte Carlo (DSMC) metodo. The radiative equilibrium boundary condition is based on the principle of energy conservation at each surface element, enabling the accurate capture of spatially...
Rilevamento anomalo adattivo basato su PCA per serie temporali multi-funzione in Missioni spaziali
Analyzing multi-featured time series data is critical for space missions making efficient event detection, potenzialmente a bordo, essential for automatic analysis. Tuttavia, limited onboard computational resources and data downlink constraints necessitate robust methods for identifying regions of interest in real time. This work...
Recupero della dinamica accelerata di Nesterov dalla dinamica della palla pesante tramite riscalamento temporale
In un vero spazio Hilbert, Consideriamo due problemi classici: the global minimization of a smooth and convex function $f$ (i.e., a convex optimization problem) e trovare gli zeri di un operatore monotono e continuo $V$ (i.e., un'equazione monotona). Attached to...
Generazione di dati eterogenei sugli alberi genetici
We introduce GenPhylo, a Python module that simulates nucleotide sequence data along a phylogeny avoiding the restriction of continuous-time Markov processes. GenPhylo uses directly a general Markov model and therefore naturally incorporates heterogeneity across lineages. We solve the challenge of generating transition...
FailLite: Failure-Resilient Model Serving for Resource-Constrained Edge Environments
Model serving systems have become popular for deploying deep learning models for various latency-sensitive inference tasks. While traditional replication-based methods have been used for failure-resilient model serving in the cloud, such methods are often infeasible in edge environments due to significant resource...
Positive-tone Nanolithography of Antimony Trisulfide with Femtosecond Laser Wet-etching
Antimony trisulfide ($Sb_{2}S_{3}$), as an emerging material for integrated photonic devices, has attracted significant attention due to its high index, low loss, and phase-changing property in the optical regime. Tuttavia, conventional lithography-based fabrication methods involve complex, time-consuming, multistep processes, rendering the photonic...
The area of spheres in the Brownian plane
We consider the area of spheres centered at the distinguished point in the Brownian plane. As a function of the radius, the resulting process has continuously differentiable sample paths. Inoltre, the pair consisting of the process and its derivative is time-homogeneous Markov...
Gli effetti dei carichi di pressione nella riduzione dimensionale dell'elasticità modelli
We study the dimensional reduction from three to two dimensions in hyperelastic materials subject to a live load, modeled as a constant pressure force. Our results demonstrate that this loading has a significant impact in higher-order scaling regimes, namely those associated with...