3 citations · 7 across the 8 of their papers we have counts for
8 papers
Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension
George Andriopoulos, Zixuan Dong, Bimarsha Adhikari +1
Neural multivariate regression underpins a wide range of domains, including control, robotics, and finance, yet the geometry of its learned representations remains poorly character…
Neural Multivariate Regression: Qualitative Insights from the Unconstrained Feature Model
George Andriopoulos, Soyuj Jung Basnet, Juan Guevara +2
The Unconstrained Feature Model (UFM) is a mathematical framework that enables closed-form approximations for minimal training loss and related performance measures in deep neural…
The Prevalence of Neural Collapse in Neural Multivariate Regression
George Andriopoulos, Zixuan Dong, Li Guo +2
Recently it has been observed that neural networks exhibit Neural Collapse (NC) during the final stage of training for the classification problem. We empirically show that multivar…
On the cover time of Brownian motion on the Brownian continuum random tree
George Andriopoulos, David A. Croydon, Vlad Margarint +1
Upon almost-every realisation of the Brownian continuum random tree (CRT), it is possible to define a canonical diffusion process or `Brownian motion'. The main result of this arti…
Cross Entropy versus Label Smoothing: A Neural Collapse Perspective
Li Guo, George Andriopoulos, Zifan Zhao +3
Label smoothing loss is a widely adopted technique to mitigate overfitting in deep neural networks. This paper studies label smoothing from the perspective of Neural Collapse (NC),…
Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees
George Andriopoulos, Eleanor Archer
We prove an invariance principle for linearly edge reinforced random walks on -stable critical Galton-Watson trees, where and where the edge joining to its pare…
Invariance principles for random walks in random environment on trees
George Andriopoulos
In arXiv:1609.05666v1 [math.PR] a functional limit theorem was proved. It states that symmetric processes associated with resistance metric measure spaces converge when the underly…
Convergence of blanket times for sequences of random walks on critical random graphs
George Andriopoulos
Under the assumption that sequences of graphs equipped with resistances, associated measures, walks and local times converge in a suitable Gromov-Hausdorff topology, we establish a…