  Engagement analysis finds various applications in healthcare, education,
advertisement, services. Deep Neural Networks, used for analysis, possess
complex architecture and need large amounts of input data, computational power,
inference time. These constraints challenge embedding systems into devices for
real-time use. To address these limitations, we present a novel two-stream
feature fusion "Tensor-Convolution and Convolution-Transformer Network"
(TCCT-Net) architecture. To better learn the meaningful patterns in the
temporal-spatial domain, we design a "CT" stream that integrates a hybrid
convolutional-transformer. In parallel, to efficiently extract rich patterns
from the temporal-frequency domain and boost processing speed, we introduce a
"TC" stream that uses Continuous Wavelet Transform (CWT) to represent
information in a 2D tensor form. Evaluated on the EngageNet dataset, the
proposed method outperforms existing baselines, utilizing only two behavioral
features (head pose rotations) compared to the 98 used in baseline models.
Furthermore, comparative analysis shows TCCT-Net's architecture offers an
order-of-magnitude improvement in inference speed compared to state-of-the-art
image-based Recurrent Neural Network (RNN) methods. The code will be released
at https://github.com/vedernikovphoto/TCCT_Net.
