Bilevel Optimization

97 papers with code • 0 benchmarks • 0 datasets

Bilevel Optimization is a branch of optimization, which contains a nested optimization problem within the constraints of the outer optimization problem. The outer optimization task is usually referred as the upper level task, and the nested inner optimization task is referred as the lower level task. The lower level problem appears as a constraint, such that only an optimal solution to the lower level optimization problem is a possible feasible candidate to the upper level optimization problem.

Source: Efficient Evolutionary Algorithm for Single-Objective Bilevel Optimization

Latest papers with no code

On the Complexity of First-Order Methods in Stochastic Bilevel Optimization

no code yet • 11 Feb 2024

We study the complexity of finding stationary points with such an $y^*$-aware oracle: we propose a simple first-order method that converges to an $\epsilon$ stationary point using $O(\epsilon^{-6}), O(\epsilon^{-4})$ access to first-order $y^*$-aware oracles.

Principled Penalty-based Methods for Bilevel Reinforcement Learning and RLHF

no code yet • 10 Feb 2024

But bilevel problems such as incentive design, inverse reinforcement learning (RL), and RL from human feedback (RLHF) are often modeled as dynamic objective functions that go beyond the simple static objective structures, which pose significant challenges of using existing bilevel solutions.

Implicit Diffusion: Efficient Optimization through Stochastic Sampling

no code yet • 8 Feb 2024

We present a new algorithm to optimize distributions defined implicitly by parameterized stochastic diffusions.

A Framework for Bilevel Optimization on Riemannian Manifolds

no code yet • 6 Feb 2024

We provide convergence and complexity analysis for the proposed hypergradient descent algorithm on manifolds.

Decentralized Bilevel Optimization over Graphs: Loopless Algorithmic Update and Transient Iteration Complexity

no code yet • 5 Feb 2024

In this paper, we introduce a single-loop decentralized SBO (D-SOBA) algorithm and establish its transient iteration complexity, which, for the first time, clarifies the joint influence of network topology and data heterogeneity on decentralized bilevel algorithms.

From Text to Pixels: A Context-Aware Semantic Synergy Solution for Infrared and Visible Image Fusion

no code yet • 31 Dec 2023

With the rapid progression of deep learning technologies, multi-modality image fusion has become increasingly prevalent in object detection tasks.

Decision-focused predictions via pessimistic bilevel optimization: a computational study

no code yet • 29 Dec 2023

In this work, we contribute to recent efforts in producing \emph{decision-focused} predictions, i. e., to build predictive models that are constructed with the goal of minimizing a \emph{regret} measure on the decisions taken with them.

REBEL: A Regularization-Based Solution for Reward Overoptimization in Robotic Reinforcement Learning from Human Feedback

no code yet • 22 Dec 2023

Current methods to mitigate this misalignment work by learning reward functions from human preferences; however, they inadvertently introduce a risk of reward overoptimization.

Less or More From Teacher: Exploiting Trilateral Geometry For Knowledge Distillation

no code yet • 22 Dec 2023

A simple neural network then learns the implicit mapping from the intra- and inter-sample relations to an adaptive, sample-wise knowledge fusion ratio in a bilevel-optimization manner.

Diffusion-Driven Generative Framework for Molecular Conformation Prediction

no code yet • 22 Dec 2023

The task of deducing three-dimensional molecular configurations from their two-dimensional graph representations holds paramount importance in the fields of computational chemistry and pharmaceutical development.