Unverified50% confidenceFactExact time
The multi-scale FFT algorithm proposed in the paper represents the likelihood ratio on a special grid: within each dyadic interval the grid is uniform, but different intervals have different granularity.
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11/2/2026
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UnverifiedFFT outputs complex values containing magnitude and phase; its magnitude spectrum is inherently shift-invariant, but the phase information is extremely sensitive to shifts.66% similarUnverifiedThe new algorithm constructs special moduli to perform exact multiplication at smaller lengths, optimizing the zero-padding step in traditional FFT multiplication.65% similarUnverifiedExperiments show that under high-precision requirements, the multi-scale FFT algorithm can bring speedups of several orders of magnitude.64% similarUnverified实际部署中因并行计算的浮点非确定性可能产生细微差异并随链式生成放大63% similarUnverifiedWriting only one position or conditionally independent positions per step can theoretically match the distribution exactly, while writing more dependent positions causes errors to accumulate.63% similar
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