ロボットナビゲーションのための非劣モジュラ視覚注意
Non-submodular Visual Attention for Robot Navigation
視覚慣性ナビゲーションの効率化のため、MSEベースの非劣モジュラ目的関数で視覚特徴を選択する枠組みを提案し、4つの多項式時間近似アルゴリズムを導入して性能保証とリアルタイム性を示した。
詳しい要約
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著者: Reza Vafaee, Kian Behzad, Milad Siami, Luca Carlone, Ali Jadbabaie
分類: cs.RO, cs.SY, eess.SY
原文アブストラクト
This paper presents a task-oriented computational framework to enhance Visual-Inertial Navigation (VIN) in robots, addressing challenges such as limited time and energy resources. The framework strategically selects visual features using a Mean Squared Error (MSE)-based, non-submodular objective function and a simplified dynamic anticipation model. To address the NP-hardness of this problem, we introduce four polynomial-time approximation algorithms: a classic greedy method with constant-factor guarantees; a low-rank greedy variant that significantly reduces computational complexity; a randomized greedy sampler that balances efficiency and solution quality; and a linearization-based selector based on a first-order Taylor expansion for near-constant-time execution. We establish rigorous performance bounds by leveraging submodularity ratios, curvature, and element-wise curvature analyses. Extensive experiments on both standardized benchmarks and a custom control-aware platform validate our theoretical results, demonstrating that these methods achieve strong approximation guarantees while enabling real-time deployment.
