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Summary of Factor Augmented Tensor-on-tensor Neural Networks, by Guanhao Zhou et al.


Factor Augmented Tensor-on-Tensor Neural Networks

by Guanhao Zhou, Yuefeng Han, Xiufan Yu

First submitted to arxiv on: 30 May 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG); Methodology (stat.ME)

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper proposes a novel approach to tensor-on-tensor regression, which involves predicting multi-dimensional arrays (tensors) across time with arbitrary tensor order and data dimension. Existing methods have limitations, such as focusing on linear models or using black-box deep learning algorithms that don’t utilize the tensor structure. The proposed Factor Augmented Tensor-on-Tensor Neural Network (FATTNN) integrates tensor factor models into deep neural networks to handle nonlinearity between complex data structures. The method begins by extracting predictive information from the covariates, represented as a “factor tensor,” which is then used as input for a temporal convolutional neural network. The proposed approach improves upon traditional statistical models and conventional deep learning approaches in terms of prediction accuracy and computational cost.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper looks at a new way to predict multi-dimensional arrays (tensors) that change over time. It’s like trying to guess what will happen next in a movie by looking at the main characters’ movements. The current methods are not very good because they either only look at simple patterns or use super complicated computer programs that don’t take advantage of the important information in the data. This new approach, called Factor Augmented Tensor-on-Tensor Neural Network (FATTNN), uses a combination of simple and complex techniques to make better predictions. It works by taking apart the data into smaller parts, finding what’s most important, and then using that to make predictions.

Keywords

» Artificial intelligence  » Deep learning  » Neural network  » Regression