← Search

Per Kristian Lehre

6 accepted papers

2025

Theoretical Guarantees for the Retention of Strict Nash Equilibria by Coevolutionary Algorithms

NeurIPS 2025poster

Most methods for finding a Nash equilibrium rely on procedures that operate over the entire action space, making them infeasible for settings with too many actions to be searched exhaustively. Randomised search heuristics such as coevolutionary algorithms offer benefits in such settings, however the…

Cited by 0SourceScholar
2025

Towards Runtime Analysis of Population-Based Co-evolutionary Algorithms on Sparse Binary Zero-Sum Game

AAAI 2025technical

The maximin optimisation problem, inspired by Von Neumann’s work (von Neumann 1928) and widely applied in adversarial optimisation, has become a key research area in machine learning. Gradient Descent Ascent (GDA) is a common method for solving these problems but requires the pay-off function to be…

Cited by 0SourcePDFScholar
2025

Why Playing Against Diverse and Challenging Opponents Speeds Up Coevolution: A Theoretical Analysis on Combinatorial Games

NeurIPS 2025poster

Competitive coevolutionary algorithms (CoEAs) have a natural application to problems that are adversarial or feature strategic interaction. However, there is currently limited theoretical insight into how to avoid pathological behaviour associated with CoEAs. In this paper we use impartial combinato…

Cited by 0SourceScholar
2024

Concentration Tail-Bound Analysis of Coevolutionary and Bandit Learning Algorithms

IJCAI 2024poster

Runtime analysis, as a branch of the theory of AI, studies how the number of iterations algorithms take before finding a solution (its runtime) depends on the design of the algorithm and the problem structure. Drift analysis is a state-of-the-art tool for estimating the runtime of randomised algorit…

Cited by 2SourcePDFScholar
2024

No Free Lunch Theorem and Black-Box Complexity Analysis for Adversarial Optimisation

NeurIPS 2024poster

Black-box optimisation is one of the important areas in optimisation. The original No Free Lunch (NFL) theorems highlight the limitations of traditional black-box optimisation and learning algorithms, serving as a theoretical foundation for traditional optimisation. No Free Lunch Analysis in adversa…

Cited by 0SourcePDFScholar
2021

Escaping Local Optima with Non-Elitist Evolutionary Algorithms

AAAI 2021technical

Most discrete evolutionary algorithms (EAs) implement elitism, meaning that they make the biologically implausible assumption that the fittest individuals never die. While elitism favours exploitation and ensures that the best seen solutions are not lost, it has been widely conjectured that non-elit…

Cited by 46SourcePDFScholar