OR Visualizations
Algorithms you can see.
Research blog
Research Notes
Ideas, methods, algorithms, and things I'm working through.
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Stochastic Queens Elimination
A stochastic, elimination-based variant of the n-queens problem: an MDP formulation, a provably suboptimal greedy baseline, a closed-form heuristic (ACG) with a worst-case approximation guarantee, and an exact MIP for the deterministic case.
Recent Notes
Max-Cut on a Sphere
A graph, a sphere, and one random plane.
Read
An interactive counterexample to greedy-degree
Two queens tie for the highest degree on a four-queen board and activating one of them is exactly optimal.
Read
Simulated Annealing
A hand-designed energy surface with six wells, and a search that accepts a worse outcome on purpose because it's still hot enough to afford to.
Read
Ant Colony Optimization
A from-scratch Elitist Ant System on a 17-city TSP instance small enough to solve exactly, so every convergence claim is checked against a provable answer.
ReadSeries
MDP Series
Markov Decision Processes, from seminar to subtlety.
SQEP
Stochastic Queens Elimination, from the paper to the policy simulator.
Interactive
Interactive companion
An interactive S-SQEP policy simulator
Don't just read about Random-admissible, Greedy-degree, and Adaptive Coverage Greedy — step through them yourself on the same n=8 board as the main post, and watch the cumulative conflict cost race against the exact optimal value.
Launch companion
Interactive companion
An interactive counterexample to greedy-degree
Two queens tie for the highest degree on a four-queen board and activating one of them is exactly optimal.
Launch companionArchive
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2026
- SepMax-Cut on a SphereOptimization · 1/1
- SepCounterexample, interactivelySQEP · 3/3
- AugSimulated AnnealingOR Visualizations · 3/3
- JulStochastic Queens EliminationSQEP · 1/3
- JulAn interactive S-SQEP policy simulatorSQEP · 2/3
- JulAnt Colony OptimizationOR Visualizations · 2/3
- JulGenetic Algorithm EvolutionOR Visualizations · 1/3