#random walk
6 resultsSparse Annotations with Random Walks for U-Net Segmentation of Biodegradable Bone Implants in Synchrotron Microtomograms
Niclas Bockelmann, Diana Krüger, D. C. Florian Wieland +9
The paper introduces a random-walk based method to generate sparse annotations for training a U‑Net to segment biodegradable bone implants in synchrotron microtomography, achieving…
On the quenched functional CLT in 2d random sceneries, examples
Guy Cohen, Jean-Pierre Conze
The paper proves a quenched functional central limit theorem for sums of a random field along a two‑dimensional random walk, covering iid random sceneries, fields generated by comm…
Local Central Limit Theorem for a Random Walk Perturbed in One Point
Giuseppe Genovese, Renato LucÃ
The paper studies a symmetric random walk on a ν‑dimensional lattice with an antisymmetric perturbation at the origin and proves a local central limit theorem, revealing short‑rang…
Random walk on comb-type subsets of Z^2
Endre Csaki, Antonia Foldes
The paper analyzes the behavior of a simple symmetric random walk on modified two‑dimensional integer lattices (comb‑type subsets of \(\mathbb{Z}^2\)) where selected horizontal edg…
Cross-domain Network Representations
Shan Xue, Jie Lu, Guangquan Zhang
The paper introduces CDNR, a method that learns node embeddings for networks lacking structural information by transferring random-walk based knowledge from a richly connected sour…
Slower variation of the generation sizes induced by heavy-tailed environment for geometric branching
Ayan Bhattacharya, Zbigniew Palmowski
The paper studies a branching process with geometric offspring where the success probability is random and heavy‑tailed, showing that the population size acquires increasingly heav…