Tag
worst-case-bounds
- Apr 30, 2026 Median-of-Medians and the Deterministic Linear Selection Bound Why grouping into fives makes the pivot provably good, how the recurrence resolves to a linear bound, and why the constant keeps it out of hot paths. algorithms
- Aug 31, 2025 Cuckoo Hashing and the Guarantee of Two Probes How two hash functions and a displacement rule give worst-case constant lookup, why insertion can cycle, and how a stash or a larger bucket count makes it succeed. data structures
- Oct 12, 2023 Smoothed Analysis: Why the Simplex Method Beats Its Worst Case Worst-case bounds are exponential and average-case bounds assume a distribution nobody can justify. Perturbing the input by a Gaussian turns the question into a function of how much noise the input carries. algorithms