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======Computational examples======

======Computational examples======

The author of NIS conducted experiments in the [[spring oscillator model]], and the results are shown in the following figure. Figure a demostrates that the results for the next moment align linearly with the iterative macroscopic dynamics, validating the model's effectiveness. Figure b illustrates that the learned and real dynamics align, further validating the model. Figure c illustrates the model's accuracy in multi-step predictions, as the predicted and real curves are closely aligned. Figure d shows the magnitude of causal emergence at different scales. Causal emergence is most significant at scale is 2, consistent with the real spring oscillator model, where only two states (position and velocity) are needed to describe the system.

The author of NIS conducted experiments in the [[spring oscillator model]], and the results are shown in the following figure. Figure a demostrates that the results for the next moment align linearly with the iterative macroscopic dynamics, validating the model's effectiveness. Figure b illustrates that the learned and real dynamics align, further validating the model. Figure c illustrates the model's accuracy in multi-step predictions, as the predicted and real curves are closely aligned. Figure d shows the strength of causal emergence at different scales. Causal emergence is most significant at scale is 2, consistent with the real spring oscillator model, where only two states (position and velocity) are needed to describe the system.

[[文件:弹簧振子模型1.png|居左|600x600像素|替代=弹簧振子模型1|弹簧振子模型]]

[[文件:弹簧振子模型1.png|居左|600x600像素|替代=弹簧振子模型1|弹簧振子模型]]