Polynomial Convergence of Bandit No-Regret Dynamics in Congestion Games

L Dadi, I Panageas, S Skoulakis, L Viano… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce an online learning algorithm in the bandit feedback model that, once adopted
by all agents of a congestion game, results in game-dynamics that converge to an $\epsilon …

Spectral Independence a New Tool to Analyze Markov Chains

K Liu - 2023 - search.proquest.com
We introduce a versatile technique called spectral independence for the analysis of Markov
chain Monte Carlo algorithms in high-dimensional probability and statistics. We rigorously …

Integer Traffic Assignment Problem: Algorithms and Insights on Random Graphs

R Harfouche, G Piccioli, L Zdeborová - arXiv preprint arXiv:2405.10763, 2024 - arxiv.org
Path optimization is a fundamental concern across various real-world scenarios, ranging
from traffic congestion issues to efficient data routing over the internet. The Traffic …

Approximate sampling and counting of graphs with near-regular degree intervals

G Amanatidis, P Kleer - arXiv preprint arXiv:2110.09068, 2021 - arxiv.org
The approximate uniform sampling of graphs with a given degree sequence is a well-known,
extensively studied problem in theoretical computer science and has significant …