“The paper demonstrates that 'extreme-wave phenomena, often treated as deleterious fluctuations, can be harnessed as structural nonlinearity for scalable, energy-efficient neuromorphic photonic inference.'”

“The nonlinear coefficient λ provides accurate control of this periodicity: a positive λ stretches the region, while a negative λ compresses it.”

“The observed nonlinearity exhibits a mixed reactive-dissipative character.”

“The paper proposes to use a standard reduced basis method (RBM) to construct this low-order rational function. Algorithmically, this procedure is an iterative greedy approach, where the greedy objective is evaluated through an error estimator that exploits the linearity of the frequency domain representation.”

“The paper identifies an ac phase characterized by the emergence of two distinct frequencies, which spontaneously break the time-translation symmetry.”

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“The online control problem is formulated as a convex optimization problem, despite the nonlinearity of the system dynamics and the original economic cost function.”

“DCEN consistently outperforms state-of-the-art methods in sparse signal recovery, high-dimensional variable selection under strong collinearity, and Magnetic Resonance Imaging (MRI) image reconstruction, achieving superior recovery accuracy and robustness.”

“The research likely investigates methods to counteract signal distortions caused by nonlinearities in optical fibers.”

“FLLTPE and FLLTE demonstrated superior performance compared to other estimators.”

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“The context mentions Bose-Einstein Condensate dark matter with logarithmic nonlinearity.”

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