Papers › Complex Transformer: A Framework for Modeling Complex-Valued Sequence

Complex Transformer: A Framework for Modeling Complex-Valued Sequence

22 Oct 2019arXiv:1910.10202archive 2025-07-28

Muqiao Yang, Martin Q. Ma, Dongyu Li, Yao-Hung Hubert Tsai, Ruslan Salakhutdinov

While deep learning has received a surge of interest in a variety of fields in recent years, major deep learning models barely use complex numbers. However, speech, signal and audio data are naturally complex-valued after Fourier Transform, and studies have shown a potentially richer representation of complex nets. In this paper, we propose a Complex Transformer, which incorporates the transformer model as a backbone for sequence modeling; we also develop attention and encoder-decoder network operating for complex input. The model achieves state-of-the-art performance on the MusicNet dataset and an In-phase Quadrature (IQ) signal dataset.

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Tasks

DecoderDeep LearningMusic Transcription

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Music Transcription MusicNet Complex Transformer APS 74.22 #2 of 6 Archive leaderboard report
Music Transcription MusicNet Complex Transformer Number of params 11.61M #2 of 6 Archive leaderboard report
Music Transcription MusicNet Concatenated Transformer APS 71.3 #4 of 6 Archive leaderboard report
Music Transcription MusicNet Concatenated Transformer Number of params 9.79M #4 of 6 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

Methods

Absolute Position EncodingsAdamAttentionBPEDense ConnectionsDropoutLabel SmoothingLayer NormalizationLinear LayerMulti-Head AttentionPosition-Wise Feed-Forward LayerReLUResidual ConnectionSoftmaxTransformer

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