Eva Optimizer: Escaping Low-Curvature Traps in Deep Learning
Paper i proceeding, 2027

Adaptive optimization methods like Adam excel in handling sparse gradients and varying parameter scales, but risk instability in regions of low curvature due to excessive step sizes. We introduce Eva (Escaping Via Adaptive gradients), a family of novel optimizers comprising two variants—Eva+ and Eva-—that dynamically switch between Adam and scaled gradient steps based on local gradient and curvature properties. Our method implements component-wise detection to identify updates where Adam step magnitude exceeds the historical gradient norm. Eva+ employs gradient ascent to escape from degenerate regions, while Eva- provides conservative descent with magnitude damping. We set a threshold for detecting unstable updates, supported by theoretical analysis and empirical validation. Extensive experiments prove that both Eva variants achieve faster convergence and improved generalization compared to popular optimizers.

Gradient-based methods

Low-curvature optimization

Escape mechanisms

Deep learning

Adaptive optimization

Författare

Antonio Di Cecco

Università Campus Bio-Medico di Roma

Universita degli Studi Gabriele d'annunzio di Chieti-Pescara

Carlo Metta

Consiglo Nazionale Delle Richerche

Andrea Papini

Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik

Göteborgs universitet

Marco Fantozzi

Universita degli Studi di Parma

Silvia Giulia Galfré

Universita di Pisa

Michelangelo Vegliò

Università Campus Bio-Medico di Roma

Universita degli Studi Gabriele d'annunzio di Chieti-Pescara

Luigi Amedeo Bianchi

Universita degli Studi di Trento

Maurizio Parton

Universita degli Studi Gabriele d'annunzio di Chieti-Pescara

Francesco Morandin

Universita di Pisa

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

03029743 (ISSN) 16113349 (eISSN)

Vol. 16816 LNCS 112-127
9783032316653 (ISBN)

28th International Conference on Pattern Recognition, ICPR 2026
Lyon, France,

Ämneskategorier (SSIF 2025)

Beräkningsmatematik

Matematisk analys

DOI

10.1007/978-3-032-31666-0_8

Mer information

Senast uppdaterat

2026-08-20