RT journal article T1 A critical analysis of the theoretical framework of the Extreme Learning Machine A1 Perfilieva, Irina A1 Madrid Labrador, Nicolás Miguel A1 Ojeda Aciego, Manuel A1 Artiemjew, Piotr A1 Niemczynowicz, Agnieszka A2 Matemáticas K1 Extreme Learning Machine K1 Feed-forward neural network K1 Generalized inverse Moore-Penrose matrix K1 Pseudo-inverse matrix AB Despite several successful applications of the Extreme Learning Machine (ELM) as a new neural network training method that combines random selection with deterministic computation, we show that some fundamental principles of ELM lack a rigorous mathematical basis. In particular, we refute the proofs of two fundamental claims and construct datasets that serve as counterexamples to the ELM algorithm. Finally, we provide alternative claims to the basic principles that justify the effectiveness of ELM in some theoretical cases. PB Elsevier SN 0925-2312 YR 2025 FD 2025-03-25 LK http://hdl.handle.net/10498/38430 UL http://hdl.handle.net/10498/38430 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026