Taylor Videos for Action Recognition

TL;DR

The paper introduces Taylor videos, a novel motion representation for action recognition that emphasizes dominant motions by approximating motion functions through Taylor series expansion, improving recognition accuracy across multiple architectures.

Contribution

We propose the Taylor video format, which captures dominant motions via Taylor series expansion, enhancing action recognition performance over traditional RGB and optical flow inputs.

Findings

Taylor videos improve action recognition accuracy.

Fusion of Taylor videos with RGB or optical flow boosts performance.

Taylor skeleton sequences outperform original skeletons in skeleton-based recognition.

Abstract

Effectively extracting motions from video is a critical and long-standing problem for action recognition. This problem is very challenging because motions (i) do not have an explicit form, (ii) have various concepts such as displacement, velocity, and acceleration, and (iii) often contain noise caused by unstable pixels. Addressing these challenges, we propose the Taylor video, a new video format that highlights the dominate motions (e.g., a waving hand) in each of its frames named the Taylor frame. Taylor video is named after Taylor series, which approximates a function at a given point using important terms. In the scenario of videos, we define an implicit motion-extraction function which aims to extract motions from video temporal block. In this block, using the frames, the difference frames, and higher-order difference frames, we perform Taylor expansion to approximate this function at the starting frame. We show the summation of the higher-order terms in the Taylor series gives us dominant motion patterns, where static objects, small and unstable motions are removed. Experimentally we show that Taylor videos are effective inputs to popular architectures including 2D CNNs, 3D CNNs, and transformers. When used individually, Taylor videos yield competitive action recognition accuracy compared to RGB videos and optical flow. When fused with RGB or optical flow videos, further accuracy improvement is achieved. Additionally, we apply Taylor video computation to human skeleton sequences, resulting in Taylor skeleton sequences that outperform the use of original skeletons for skeleton-based action recognition.