cognitive-horizon
MMXXVI

Algorithm Design & Optimization

Competition-grade problem-solving applied to your hardest computational challenges. When off-the-shelf solutions aren't enough.

When Standard Solutions Fall Short

Some problems don't have off-the-shelf solutions. They require custom algorithms, novel data structures, or mathematical modeling that goes beyond what any library provides. This is where our competition background pays dividends.

Art's mathematics competition results include 2nd in Fermat in 1996, 12th in Euclid while in grade 11, 7th in AHSME in grade 12, and 15th in Descartes. His background also includes university ACM programming competitions. That experience informs a habit of examining the mathematical structure of a problem before choosing an implementation.

Expertise Areas

Algorithm Design Computational Geometry Graph Theory Dynamic Programming Optimization Mathematical Modeling Numerical Methods Combinatorics Complexity Analysis Data Structures Probabilistic Algorithms Approximation Algorithms

Custom Algorithms

Bespoke algorithms designed for your specific problem domain, with rigorous complexity analysis and correctness proofs.

Performance Optimization

Taking existing systems from O(n^2) to O(n log n) — or finding the right approximation that makes an intractable problem solvable.

Mathematical Modeling

Translating business problems into formal mathematical models and solving them with the appropriate algorithmic techniques.

Have a problem that needs a custom solution?

We thrive on the problems other teams can't crack.