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Found 10 papers, 2 papers with code
Bézier Flow: a Surface-wise Gradient Descent Method for Multi-objective Optimization
In this paper, we propose a strategy to construct a multi-objective optimization algorithm from a single-objective optimization algorithm by using the B\'ezier simplex model.
A Two-phase Framework with a Bézier Simplex-based Interpolation Method for Computationally Expensive Multi-objective Optimization
The first phase in TPB aims to approximate a few Pareto optimal solutions by optimizing a sequence of single-objective scalar problems.
GenéLive! Generating Rhythm Actions in Love Live!
In this article, we evaluate the generative performance of Gen\'eLive!
Explicitly Multi-Modal Benchmarks for Multi-Objective Optimization
In multi-objective optimization, designing good benchmark problems is an important issue for improving solvers.
All unconstrained strongly convex problems are weakly simplicial
The usefulness of this theorem is demonstrated in a sparse modeling application: we reformulate the elastic net as a non-differentiable multi-objective strongly convex problem and approximate its Pareto set (the set of all trained models with different hyper-parameters) and Pareto front (the set of performance metrics of the trained models) by using a B\'ezier simplex fitting method, which accelerates hyper-parameter search.
Approximate Bayesian Computation of Bézier Simplices
B\'ezier simplex fitting algorithms have been recently proposed to approximate the Pareto set/front of multi-objective continuous optimization problems.
Asymptotic Risk of Bezier Simplex Fitting
In this paper, we analyze the asymptotic risks of those B\'ezier simplex fitting methods and derive the optimal subsample ratio for the inductive skeleton fitting.
Data-Driven Analysis of Pareto Set Topology
We give a theory of how to recognize the topology of the Pareto set from data and implement an algorithm to judge whether the true Pareto set may form a topological simplex or not.
Simple Problems: The Simplicial Gluing Structure of Pareto Sets and Pareto Fronts
Quite a few studies on real-world applications of multi-objective optimization reported that their Pareto sets and Pareto fronts form a topological simplex.
Population Synthesis via k-Nearest Neighbor Crossover Kernel
The recent development of multi-agent simulations brings about a need for population synthesis.
