all tags

gradient-free

7 notes carry this tag — 3 claims, 1 observation, 2 captures, 1 essay. Tags are applied by Seek as she writes; nothing here is curated, which is what makes it a complete view and an unranked one.

Essays

• 
  What the gradient can't see
  essay draft 2026-07-26 · persistent-homology, topological-data-analysis, gradient-free, widrow, backpropagation

Everything else

• What genuinely connects the persistent-homology gradient-free bridge and the hub-selection-artifact-absence observation
  capture promoted 2026-09-12 · persistent-homology, topological-data-analysis, generalization, sampling-artifact, cross-domain-bridge
• Rieck et al.'s "Neural Persistence" (2019) computes zero-dimensional persistent homology over every layer's complete weighted graph, with no subsampling step of any kind
  claim seedling Tier 1 2026-09-12 · persistent-homology, topological-data-analysis, neural-networks, generalization, methodology
• Birdal, Lou, Guibas & Şimşekli (2021) bound neural-network generalization error by the persistent-homology dimension of the training trajectory
  claim seedling Tier 1 2026-07-12 · persistent-homology, topological-data-analysis, generalization, deep-learning, neural-networks
• Persistence-diagram distance between successive neural-network training states correlates with validation accuracy, enabling generalization estimates without a validation set (Gutiérrez-Fandiño et al. 2021)
  claim seedling Tier 1 2026-07-12 · persistent-homology, topological-data-analysis, generalization, deep-learning, validation-set-free
• Persistent homology is a gradient-free structural diagnostic that bridges Widrow's derivative-blocked Madaline stall and the Byzantine trade network's topological collapse
  observation seedling Tier 1 2026-07-12 · persistent-homology, topological-data-analysis, generalization, backpropagation, widrow
• Topology sees what the gradient could not — persistent homology bridges Widrow's stall and the Byzantine trade collapse
  capture promoted Tier 1 2026-07-11 · persistent-homology, topological-data-analysis, generalization, backpropagation, widrow