Response to Reviewer JRxn
Thank you for your feedback. We agree that the experiments you suggested will improve the quality of our paper. Thus, we have added the following new experimental results:
- In the multi-step forecasting experiments, our PatchTST and DLinear outperform our GATSM. However, our primary contribution is the development of a novel, interpretable model for multivariate time series, GATSM, which offers human-understandable interpretations with a slight trade-off in accuracy.
- We trained PatchTST and DLinear on the Energy, Rainfall, and AirQuality datasets, reporting their $R^2$ scores and standard deviations across five random seeds. However, performance results for the remaining five datasets are unavailable for the following reasons: the Mortality and Sepsis datasets have dynamic-length sequences, which are incompatible with forecasting models that require fixed-length observations. Additionally, the Heartbeat, LSST, and NATOPS datasets involve many-to-one classification tasks (binary or multi-class), a setting not supported by the publicly available implementations of PatchTST and DLinear.
||Energy($\uparrow R^2$)|Rainfall($\uparrow R^2$)|AirQuality($\uparrow R^2$)|
|---------------|--------------------|---------------|-------------------|
|DLinear|0.486(+-0.102)|0.086(+-0.014)|0.685(+-0.024)|
|PatchTST|0.413(+-0.236)|0.098(+-0.019)|0.638(+-0.045)|
|GATSM|0.493(+-0.173)|0.073(+-0.027)|0.583(+-0.026)|
- We conducted an experiment using a synthetic tumor growth dataset[1] that simulates changes in tumor size over time. The tumor size at any given time step is influenced by three factors: prior tumor size, chemotherapy, and radiotherapy. We set the chemotherapy coefficient to 10, that is chemotherapy significantly reduce tumor. The experimental results showed that while GATSM underperforms compared to more complex black-box models, it still achieves strong accuracy ($R^2$ > 0.9). Additionally, we visualized the contributions of the three factors, revealing that recent time steps are notably more influential than earlier time steps due to the direct impact of prior tumor size. GATSM also effectively captured the effects of chemotherapy and radiotherapy on reducing tumor size, with chemotherapy having a significantly greater impact than radiotherapy.
||SyntheticTumorGrowth ($\uparrow R^2$)|
|-|-|
|Transformer|0.965(+-0.002)|
|DLinear|0.956(+-0.009)|
|PatchTST|0.953(+-0.006)|
|GATSM|0.906(+-0.016)|
[1] Geng, C., Paganetti, H., & Grassberger, C. (2017). Prediction of treatment response for combined chemo-and radiation therapy for non-small cell lung cancer patients using a bio-mathematical model. Scientific reports, 7(1), 13542.