Euclidean (L2) & Manhattan (L1) Distance
Geometric Norms, Minkowski Generalization & The Curse of Dimensionality
#Geometry#Norms#Linear Algebra#Clustering#Curse of Dimensionality
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STAGE 1 / 7— Anti-Pattern
Section 1: The LLM Anti-Pattern vs Right-Sized Model
The Naive Generative LLM Approach:
Asking an LLM to cluster or find the nearest physical warehouse to a customer coordinate.
Why It Fails in Production:
LLMs hallucinate geography, fail at arithmetic square root formulas, and produce non-deterministic spatial queries.
Targeted Algorithm (Euclidean (L2) & Manhattan (L1) Distance)
Latency:0.001ms
Cost / 1M Ops:$0.00
Determinism:Exact Analytical Metric
Generative LLM Alternative
Latency:2,000ms
Cost / 1M Ops:$6,000
Determinism:Approximation / Guesswork