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This skill provides specialized patterns and best practices for working with complex-valued data in PyTorch, specifically tailored for astronomical imaging applications. It streamlines tasks such as 2D Fourier transforms (FFT/IFFT), conversions between phase/amplitude and real/imaginary representations, and the implementation of complex-valued loss functions. By addressing common pitfalls like phase wrapping and data type mismatches, it ensures robust mathematical operations in frequency-domain analysis and complex-valued neural network architectures.