SF Hill Climbers: an interactive site turning San Francisco into a loss landscape

CatAstro_Piyush · x · 2026-11-13

SF Hill Climbers treats San Francisco terrain as a loss landscape (loss = -elevation) and lets optimizers like SGD, Momentum, Adam, RMSprop, Muon, Nesterov and Lion climb from any starting point, visualizing each one's basins of attraction. Fun findings: at default learning rates SGD's map almost exactly matches the terrain's own basins, making it a good baseline; Adam rescales east-west and north-south slopes independently, so it's sensitive to map rotation — rotating 30° sends it to Alamo Square instead of Lafayette Park from Hayes Valley, a quirk the author notes matters in real LLM training. Interactive: click to race optimizers, tweak learning-rate sliders.

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