3 papers
math.AC2026
Private neighbors, perfect codes and their relation with the -number of closed neighborhood ideals
Delio Jaramillo-Velez, Hiram H. López, Rodrigo San-José
In this work, we investigate the connections between dominating sets, private neighbors, and perfect codes in graphs, and their relationships with commutative algebra. In particula…
cs.LG2025
Perfectly-Private Analog Secure Aggregation in Federated Learning
Delio Jaramillo-Velez, Charul Rajput, Ragnar Freij-Hollanti +2
In federated learning, multiple parties train models locally and share their parameters with a central server, which aggregates them to update a global model. To address the risk o…
math.AC2024
The edge code of hypergraphs
Delio Jaramillo-Velez
Given a hypergraph , we introduce a new class of evaluation toric codes called edge codes derived from . We analyze these codes, focusing on determining t…