
Mastering Language Models: From Architecture to Optimization
Recent Advances in Optimization Methods for Machine Learning: A Systematic Review
In the finale of Topic 7 and the series, Maya and Leo unpack a 2025 systematic review of optimization methods for machine learning β the optimizer that decides whether a ninety-day run converges. They map the gradient-based family as a lineage of flaw-fixes (SGD, momentum, Nesterov, AdaGrad, RMSProp, Adam, AdamW), touch second-order/quasi-Newton and large-batch methods (LARS, LAMB), and perform the real split: adaptive Adam converges fast but well-tuned SGD often generalizes better. They resolve it on air as a regime question β adaptive to survive a sparse model's jumpy router early, SGD to land in the flatter basin late β and close by gesturing back across sparsity, data, and optimization. Sources: β’ Recent Advances in Optimization Methods for Machine Learning: A Systematic Review: https://www.mdpi.com/2227-7390/13/13/2210/pdf?version=1751874017 β’ Mathematics 13(13):2210 abstract page (DOI 10.3390/math13132210): https://www.mdpi.com/2227-7390/13/13/2210 β’ The Marginal Value of Adaptive Gradient Methods in Machine Learning: https://arxiv.org/pdf/1705.08292 β’ Mastering Language Models: From Architecture to Optimization β Topic 7 overview (t7e0): https://www.mdpi.com/2227-7390/13/13/2210






