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And solving the linear equation system when the system matrix is a triangular matrix is very efficient!# Normal equations:(J^TJ)x = J^Ty# This is exactly our Ax = b where:A = J^TJ # symmetric positive definite!b = J^Ty# Solve using Cholesky:A = LL^T # Cholesky decompositionLy = b # Forward substitutionL^Tx = y # Backward substitution # For n×n system:General matrix: O(n³) # Using Gaussian elimin..

Lecture 1, Jan 27th, 2025, https://rdi.berkeley.edu/adv-llm-agents/slides/inference_time_techniques_lecture_sp25.pdf Background: How do we evaluate consistency of free-form answers from multiple answer generation?