splines

A PDF of course lecture notes from Peking University, reviewing the history of curves and surfaces (splines, etc.) in Computer Aided Geometric Design (CAGD).

Vela 是一个视觉-语言-动作基础模型，用基于样条的连续轨迹替代固定速率的动作块表示，通过自适应时间分辨率提升机器人操作的长时程规划与局部精度，并在 LIBERO-X、EBench 及真实长时程任务上取得有前景的结果。

Introduces PI-Splines, a structured spline-based architecture for physics-informed learning that parametrizes unknown fields with trainable B-spline coefficients, providing compact support, analytical derivatives, and strong boundary condition enforcement, demonstrated as a competitive alternative to neural network-based methods.

This paper introduces Monotone Alternating Splines (MAS), a novel framework for modeling cumulative conditional intensity functions in temporal point processes. MAS overcomes structural limitations of existing monotone neural networks, achieving better accuracy and efficiency on synthetic and real datasets.