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Bilevel Optimization

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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

논문

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Bilevel Optimization

논문

Bilevel ZOFO: Efficient LLM Fine-Tuning and Meta-Training

GuiLoMo: Allocating Expert Number and Rank for LoRA-MoE via Bilevel Optimization with GuidedSelection Vectors

Restarted contractive operators to learn at equilibrium

Differentially Private Bilevel Optimization: Efficient Algorithms with Near-Optimal Rates

Policy Optimization for Continuous-time Linear-Quadratic Graphon Mean Field Games

MISLEADER: Defending against Model Extraction with Ensembles of Distilled Models

Unit Commitment with Cost-Oriented Temporal Resolution

Targeted Unlearning Using Perturbed Sign Gradient Methods With Applications On Medical Images

Multi-period Mean-Buffered Probability of Exceedance in Defined Contribution Portfolio Optimization

Learning Where to Learn: Training Distribution Selection for Provable OOD Performance

Persistently Exciting Online Feedback Optimization Controller with Minimal Perturbations

GCAL: Adapting Graph Models to Evolving Domain Shifts

Sequential QCQP for Bilevel Optimization with Line Search

HBO: Hierarchical Balancing Optimization for Fine-Tuning Large Language Models

Bi-Level Policy Optimization with Nyström Hypergradients

A stochastic gradient method for trilevel optimization

Efficient Curvature-Aware Hypergradient Approximation for Bilevel Optimization

A Provably Convergent Plug-and-Play Framework for Stochastic Bilevel Optimization

PR-Attack: Coordinated Prompt-RAG Attacks on Retrieval-Augmented Generation in Large Language Models via Bilevel Optimization

Efficient First-Order Optimization on the Pareto Set for Multi-Objective Learning under Preference Guidance

On The Sample Complexity Bounds In Bilevel Reinforcement Learning

Learn to Bid as a Price-Maker Wind Power Producer

Optimizing Decomposition for Optimal Claim Verification

Exergy Battery Modeling and P2P Trading Based Optimal Operation of Virtual Energy Station

Path-Adaptive Matting for Efficient Inference Under Various Computational Cost Constraints

On the Convergence of Adam-Type Algorithm for Bilevel Optimization under Unbounded Smoothness

Projecting Assumptions: The Duality Between Sparse Autoencoders and Concept Geometry

Bilevel Optimized Implicit Neural Representation for Scan-Specific Accelerated MRI Reconstruction

PRDP: Progressively Refined Differentiable Physics

Adversarial Training for Defense Against Label Poisoning Attacks

Learning Theory for Kernel Bilevel Optimization

LDC-MTL: Balancing Multi-Task Learning through Scalable Loss Discrepancy Control

A First-order Generative Bilevel Optimization Framework for Diffusion Models

BILBO: BILevel Bayesian Optimization

qNBO: quasi-Newton Meets Bilevel Optimization

Enhancing Generalization via Sharpness-Aware Trajectory Matching for Dataset Condensation