This PDF file includes:

• Section S1. Derivation of the wave equation update relationship
• Section S2. Realistic physical platforms and nonlinearities
• Section S3. Input and output connection matrices
• Section S4. Comparison of wave RNN and conventional RNN
• Section S5. Binarization of the wave speed distribution
• Fig. S1. Saturable absorption response.
• Fig. S2. Cross-validated training results for an RNN with a saturable absorption nonlinearity.
• Table S1. Comparison of a scalar wave model and a conventional RNN on a vowel recognition task.
• References (35–43)

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