参考文献库

按领域分类,附与 EICPS 具身空间理论的关联说明 · 10 个领域 · 42 篇文献

VLA 基础框架

RT-2: Vision-Language-Action Models Transfer Web Knowledge to Robotic Control

Brohan et al. (Google DeepMind) · 2023 arXiv:2307.15818

动作 Token 化;VLM 直接微调为策略

π₀: A Vision-Language-Action Flow Model for General Robot Control

Black et al. (Physical Intelligence) · 2024 arXiv:2410.24164

流匹配动作生成;50 Hz 全身控制

OpenVLA: An Open-Source Vision-Language-Action Model

Kim et al. · 2024 arXiv:2406.09246

7B 参数开源基线;超越 RT-2-X

GR00T N1: An Open Foundation Model for Generalist Humanoid Robots

NVIDIA · 2025 arXiv:2503.14734

双系统架构;与 EICPS 三层架构独立收敛

流形几何与谱分析

Über die Hypothesen, welche der Geometrie zu Grunde liegen

Riemann, B. · 1854 ·Göttinger Abhandlungen

黎曼流形奠基;具身空间的几何语言来源

Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen

Weyl, H. · 1911 ·Math. Ann.

Weyl 定律:特征值分布与几何的渐近关系

A Lower Bound for the Smallest Eigenvalue of the Laplacian

Cheeger, J. · 1970 ·Problems in Analysis, Princeton

Cheeger 不等式:λ₁ 与最窄通道宽度的关系

A Global Geometric Framework for Nonlinear Dimensionality Reduction

Tenenbaum, de Silva & Langford · 2000 ·Science 290

Isomap;流形假设的经典实验验证

Laplace-Beltrami Spectra as "Shape-DNA" of Surfaces and Solids

Reuter, Wolter & Peinecke · 2006 ·CAD 38(4)

Shape-DNA;LB 特征值序列作等距不变指纹

A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion

Sun, Ovsjanikov & Guibas · 2009 ·SGP

热核签名 HKS;多尺度几何描述符

Computational Topology: An Introduction

Edelsbrunner & Harer · 2010 ·American Mathematical Society

持久同调标准教材;拓扑谱 X_topo 的计算基础

Structures Métriques pour les Variétés Riemanniennes

Gromov, M. · 1981 ·CEDIC/Nathan, Paris

Gromov-Hausdorff 距离;Sim-to-Real Gap 的数学定义

PINN / 物理约束神经网络

Physics-Informed Neural Networks: A Deep Learning Framework for Solving Forward and Inverse Problems

Raissi, Perdikaris & Karniadakis · 2019 ·J. Computational Physics 378

PINN 奠基之作;方程残差入损失函数

Deep Lagrangian Networks: Using Physics as Model Prior for Deep Learning

Lutter, Ritter & Peters · 2019 ·ICLR

能量守恒约束;DeLaN 机器人控制

Hamiltonian Neural Networks

Greydanus, Dzamba & Yosinski · 2019 ·NeurIPS

辛梯度向量场;HNN 能量守恒保证

Port-Hamiltonian Neural ODE Networks on Lie Groups for Robot Dynamics Learning

Zhong et al. · 2024 arXiv:2401.09520

李群约束 + 哈密顿结构;端到端力矩预测

混合动力系统

Hybrid Dynamical Systems: Modeling, Stability, and Robustness

Goebel, Sanfelice & Teel · 2012 ·Princeton University Press

Flow-Jump 框架 H=(C,f,D,g) 标准数学定义

Hybrid Feedback Control

Sanfelice, R.G. · 2021 ·Princeton University Press

Flow-Jump 理论标准教材;EICPS 架构数学基础

Motion Planning for Hybrid Dynamical Systems

Sanfelice et al. · 2025 ·Sage Journals

混合系统运动规划采样框架

STL 信号时序逻辑

Monitoring Temporal Properties of Continuous Signals

Maler, O. & Nickovic, D. · 2004 ·FORMATS/FTRTFT, LNCS 3253

STL 奠基论文;引入连续信号时序逻辑

Robust Satisfaction of Temporal Logic over Real-Valued Signals

Donzé, A. & Maler, O. · 2010 ·FORMATS, LNCS 6246

鲁棒度语义;ρ 从布尔到实数

Control Barrier Functions for Signal Temporal Logic Tasks

Lindemann, L. & Dimarogonas, D.V. · 2019 ·IEEE L-CSS 3(1)

CBF 与 STL 结合;EICPS 安全约束验证的理论接口

Temporal Logic Motion Planning using Model Predictive Control

Raman et al. · 2014 ·CDC

STL-MPC 学术先驱;STL-RHC 框架的直接前身

Breach, A Toolbox for Verification and Parameter Synthesis of Hybrid Systems

Donzé, A. · 2010 ·CAV, LNCS 6174

STL 工程工具箱;鲁棒度在线计算参考实现

CBF 控制屏障函数

Safety Verification of Hybrid Systems Using Barrier Certificates

Prajna, S. & Jadbabaie, A. · 2004 ·HSCC, LNCS 2993

屏障证书前身;CBF 理论的起点

Robustness of Control Barrier Functions for Safety Critical Control

Xu, X., Tabuada, P. & Ames, A.D. · 2015 ·IFAC-PapersOnLine

CBF 鲁棒性分析;输入扰动下的安全保证

Control Barrier Functions: Theory and Applications

Ames, A.D. et al. · 2019 ·ECC

CBF-QP 系统性综述;EICPS Φ 投影门的数学核心

Reciprocal and Zeroing Control Barrier Functions for Multi-Agent Systems

Wang, L. et al. · 2017 ·ACC

多智能体 CBF;异构传感器约束扩展

HTN 分层任务网络

HTN Planning: Complexity and Expressivity

Erol, K., Hendler, J. & Nau, D.S. · 1994 ·AAAI

HTN 规划形式化奠基;表达力严格超过 STRIPS

SHOP2: An HTN Planning System

Nau, D. et al. · 2003 ·JAIR 20

SHOP2 实用 HTN 系统;IPC 竞赛冠军,军事后勤应用

Task Planning with a Receding Horizon for Temporal Logic Specifications

Jiang, Y. et al. · 2019 ·ICRA

HTN × 时序逻辑;与 EICPS STL-RHC 的交叉点

Hierarchical Planning for Long-Horizon Manipulation with Geometric and Symbolic Scene Graphs

Ding et al. · 2020 ·ICRA

LLM 前时代的 HTN+场景图;EICPS Brain 层同类工作

EKF / 状态估计

A New Approach to Linear Filtering and Prediction Problems

Kalman, R.E. · 1960 ·ASME J. Basic Engineering 82(1)

KF 奠基论文;阿波罗登月 AGC 导航基础

A New Extension of the Kalman Filter to Nonlinear Systems

Julier, S.J. & Uhlmann, J.K. · 1997 ·SPIE AeroSense

UKF;Sigma 点替代 Jacobian,EKF 的替代方案

Physics-Informed Neural Networks (PINN)

Raissi, Perdikaris & Karniadakis · 2019 ·J. Computational Physics

PINN-EKF:PINN 学习动力学并提供 Jacobian

Probabilistic Robotics

Thrun, Burgard & Fox · 2005 ·MIT Press

EKF-SLAM 标准教材;多传感器融合工程基础

几何深度学习 / GDL

Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Bronstein et al. · 2021 arXiv:2104.13478

GDL 奠基综述;等变性与不变性统一框架

MI-HGNN: Morphology-Informed Heterogeneous GNN for Contact Perception

Faris et al. (Georgia Tech) · 2025 ·ICRA

形态感知异构图网络;具身接触力估计

Geometric Laplace Neural Operator (GLNO)

Anonymous · 2025 arXiv:2512.16409

LB 谱算子推广至任意黎曼流形;ET 框架的深度实现参照

形式化验证与安全 AI

REVEL: Provably Safe Exploration via Neurosymbolic Policy

Anonymous · 2024 arXiv:2410.16281

与 EvidencePack 最接近的外部工作;神经符号可证明安全

Safe Reinforcement Learning via Shielding

Alshiekh et al. · 2018 ·AAAI

Shield 机制;与 CBF 安全反射弧的设计理念比较

Specification and Verification of a Safety-Critical Cyber-Physical System

Platzer, A. · 2018 ·dL / KeYmaera X

微分动态逻辑;形式化验证 CPS 的主流方法论

参考文献库 v2 · 2026-04-25  · 符号表 · 术语表