2 papers
math.OC2026
On incremental and semi-global exponential stability of gradient flows satisfying generalized Åojasiewicz inequalities
Andreas Oliveira, Arthur C. B. de Oliveira, Mario Sznaier +1
The Åojasiewicz inequality characterizes objective-value convergence along gradient flows and, in special cases, yields exponential decay of the cost. However, such results do not…
cs.LG2025
On the Convergence of Overparameterized Problems: Inherent Properties of the Compositional Structure of Neural Networks
Arthur Castello Branco de Oliveira, Dhruv Jatkar, Eduardo Sontag
This paper investigates how the compositional structure of neural networks shapes their optimization landscape and training dynamics. We analyze the gradient flow associated with o…