“The proposed approach leverages the analytical solution for linear vibration of system's modes so that physical parameters of a system remain easily accessible after the training without the need for a parameter encoder in the model architecture.”

“The paper reviews multiple ionization effects, plasma filament formation, supercontinuum broadening, and the unique capabilities of photonic crystal fibers.”

“The paper demonstrates that the most general inertial transformation which further preserves the speed of light in all directions is, however, still affine linear.”

“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 paper develops a general convergence analysis based on a reformulation of the operators by means of a fixed-point equation, providing a list of hypotheses related to the regularization properties of the equation and the convergence of the chosen approximation techniques on suitable subspaces.”

“The paper proves a fully nonlinear, saturable lower bound valid for arbitrary current vectors Δq: D_bath ≥ B(Δq,V,V'), where the bound depends only on the transported-charge signal Δq and the pre/post collision covariance matrices V and V'.”

“The state transfer fidelity reaches 98.2% for quantum states encoded in the first two energy levels, achieving a Bell state fidelity of 92.5%.”

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

“The tracking of multiple, unknown targets is formulated as a harmonic extension problem on a cellular sheaf, accommodating nonlinear dynamics and external disturbances for all agents.”

“The paper demonstrates that certain combinations of loss functions and tone mapping functions can reduce the effect of outliers while introducing minimal bias.”

“The paper successfully examines a relationship between the thermal and magnetic properties of the ferromagnetic amorphous alloy under its non-linear deformation, using the critical exponents.”

“The paper observes "another nonlinear structure that lags behind the source term, maintaining its shape and speed as it propagates."”

“MP-Jacobi couples min-sum message passing with Jacobi block updates, enabling parallel updates and single-hop communication.”

“The high precision of this technique allows us to observe power-law temperature dependence of $λ$, and to measure the anomalous nonlinear Meissner effect -- the current dependence of $λ$ arising from nodal quasiparticles. Together, these measurements provide smoking gun signatures of nodal superconductivity.”

“Solutions are attracted toward the unique invariant probability measure at polynomial rates of arbitrary order.”

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

“BF-APNN substantially reduces training time compared to RT-APNN while preserving high solution accuracy.”

“The paper derives necessary and sufficient conditions for the existence of such residual generators and provides explicit design formulas.”

“Dynamic multipliers can be used to guarantee the closed-loop power gain to be bounded and quantifiable.”

“The observation of a stacked quantum Hall effect (QHE) and a nonlinear Hall effect (NLHE) provides supporting evidence for the anticipated valley contrasted Berry curvature, a typical signature of a spin valley locked state.”

“The paper provides quantitative estimates on propagation of chaos for the deterministic case, showing an improved convergence rate.”

“The results showcase the real-world feasibility and superior performance of nonlinear MPC for 3D path-following guidance at ground speeds up to 36 meters per second.”

“The paper proposes a gradient-based algorithm with lower per-iteration cost than existing methods and adapts it to exploit the piecewise-linear structure of ReLU networks.”

“The paper introduces a practical notion of quasi-ergodicity: ensembles prepared in a small angular patch at fixed purity rapidly spread to cover all directions, while the purity gradually decreases toward its minimal value.”

“The proposed method significantly outperforms state-of-the-art (SOTA) methods. Compared to SOTA methods, it improves the position accuracy by 24.7% to 42.9%, and the angular accuracy by 40.9% to 78.4%.”

“The GUP corrections reduce to total derivatives, preserving the absence of the Boulware-Deser ghost.”

“The paper constructs standing waves of the NLS equation whose leading-order profile is a modulation of Bloch waves by means of the components of a spinor solving an appropriate cubic nonlinear Dirac (NLD) equation.”

“CRMS reduces latency by over 14% and improves energy efficiency compared with heuristic and search-based baselines.”

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“Our approach relies on nonlinear analysis, topological methods, and the theory of strongly continuous semigroups, yielding results applicable to a wide range of models.”

“NashOpt is an open-source Python library for computing and designing generalized Nash equilibria (GNEs) in noncooperative games with shared constraints and real-valued decision variables.”

“NeuroSPICE's flexibility enables the simulation of emerging devices, including highly nonlinear systems such as ferroelectric memories.”

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

“The proposed disturbance observer accurately reconstructs driver-induced disturbances with only minimal delay 14ms. A nonlinear extended Kalman Filter outperforms its linear counterpart in handling frictional nonlinearities.”

“The study identifies several inconsistencies that compromise the validity of the reported results.”

“DCK consistently outperforms conventional approaches in predictive accuracy and uncertainty quantification.”

“The paper introduces a computationally-embedded perspective that represents an embedded agent as an automaton simulated within a universal (formal) computer.”

“The NPRG approach allows one, in principle, to take into account all nonlinearities present in the elastic theory, in contrast to the SCSA treatment which requires, already at the formal level, significant simplifications.”

“The paper establishes the small-time global approximate controllability of the system using three scalar controls, and then studies the small-time global exact controllability to non-zero constant states.”

“When the noise acts on the velocity, the rescaled dynamics produce an additional Laplacian damping term, leading to a stochastic derivation of a Westervelt-type acoustic model.”

“LLMs possess foundational cross-modal reasoning ability but lack precise causal understanding of the nonlinear relationships between variables in thermal comfort.”

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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.”

“The paper presents computational techniques for assessing linear covariance performance using higher-order statistics, constrained optimization, and the unscented transform.”

“The resulting macroscopic model exhibits memory effects and a nonlinear, time-dependent effective current.”

“The proposed model achieves convergence on large test systems (e.g., IEEE 118 bus) in seconds and is validated against exact AC solutions.”

“The paper demonstrates the impressive performance of both quasi-continuum models in approximating the behavior of DDSWs and RWs.”

“The paper proves the "log-log" blowup rate and describes the mass concentration behavior near the blowup time. It also finds that increasing the repulsive potential can lead to global solutions.”

“DFINE significantly outperforms linear state-space models (LSSMs) in forecasting future neural activity.”

“CAM noise leads to an asymmetry between El Niño and La Niña events without the need for deterministic nonlinearities.”