AI & ML
Stabilizing Vector Approximate Message Passing with Circuit-Designed Lag-Lead Damping
arXiv math.IT0 views
arXiv:2611.08982v1 Announce Type: new Abstract: Vector approximate message passing (VAMP) often fails to converge on ill-conditioned matrices, and its damping factor is tuned either manually or adaptively. Using the fact that VAMP iterations are the discretization of an electric circuit, we show that the denoiser and the likelihood act as nonlinear resistors, the Onsager correction is a mirror resistor and damping is a lag filter. This circuit gives a closed-form loop gain whose spectrum can predict when VAMP fails. Because a lag filter cannot isolate the oscillating modes, we add a lead capacitor whose design often results in a negative capacitance. Across a wide range of condition numbers, our proposed damping strategy achieves a higher convergence rate than adaptive damping and Anderson acceleration at a lower mean iteration cost. On ill-conditioned multipath channels, across ranks and sparsity levels, it also converges more reliably than existing damping baselines.
Source:https://arxiv.org/abs/2611.08982PreviousThe Schur products of some nonbinary narrow-sense antiprimitive BCH codesNextEnhanced Informed Dynamic BP Decoding Scheduling Strategies for 5G NR LDPC Codes
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