Reproduce “Continuous-Time Acoustic Modelling with Neural Controlled Differential Equations” on OpenResearch

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About this paper

Mattias Cross, Minghui Zhao, Anton Ragni

The authors introduce a text-to-speech method that uses phone durations to produce changing acoustic representations. A neural controlled differential equation evolves a hidden state along a phone-and-time path whose samples feed a standard decoder. In an ESD emotion-intensity test, a one-layer model at h=1.0 reaches macro Spearman correlation 0.53, versus 0.08 for the finetuned baseline; results vary by emotion.

Key insights

  • Duration influences the values of the acoustic representation throughout a phone, rather than only determining how many times a static embedding is copied.
  • The CDE and matched LSTM models behave differently despite receiving the same duration-augmented inputs, suggesting that the continuous-time formulation contributes more than generic sequential modelling alone.
  • Temporal resolution and CDE depth have non-monotonic effects: finer solver steps or additional layers do not consistently improve objective metrics or emotion tracking.

Summary by alphaXiv.

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