“Unfortunately I cannot directly pull the quote from the linked content due to access limitations.”

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“The paper shows that the generalization error of DGFMs tends to zero as the number of neurons and the training time tend to infinity.”

“The interaction parameter is found to be consistent with zero, though small deviations from standard radiation scaling are allowed.”

“The paper derives a Pontryagin maximum principle on the belief space, providing necessary conditions for optimality in this hybrid setting.”

“The paper determines the robust optimal growth rate, constructs a worst-case admissible model, and characterizes the robust growth-optimal strategy via a solution to a certain partial differential equation (PDE).”

“The article focuses on the mathematical analysis of a chemotaxis-Navier-Stokes system.”

“The paper shows that commutative Frobenius pseudomonoids in the bicategory of spans are in correspondence with 2-Segal cosymmetric sets.”

“For any objective with log-sum-exp structure over distances or energies, the gradient with respect to each distance is exactly the negative posterior responsibility of the corresponding component: $\partial L / \partial d_j = -r_j$.”

“The paper finds a partial extension of Poincaré duality theorem to hypersurfaces obtained by non-primitive Viro's combinatorial patchworking.”

“The paper demonstrates that the number of physical measures varies upper semi-continuously.”

“The paper proposes a two-step MCMC-algorithm in a Bayesian framework to overcome the issue of partial observations.”

“PointRAFT achieved a mean absolute error of 12.0 g and a root mean squared error of 17.2 g, substantially outperforming a linear regression baseline and a standard PointNet++ regression network.”

“This intrinsic meron spin texture, unlike their externally engineered counterparts, exhibits exceptional robustness against a wide range of inputs, including partially polarized and spatially disordered pupils corrupted by decoherence and depolarization.”

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“The dissertation develops new algorithmic principles and establishes fundamental limits for interactive learning along three dimensions: active learning with noisy data and rich model classes, sequential decision making with large action spaces, and model selection under partial feedback.”

“The SPDE-based extensions improve both point and probabilistic forecasts relative to standard benchmarks.”

“The paper proposes to leverage connections between proximal operators and Hamilton-Jacobi partial differential equations (HJ PDEs) to develop novel deep learning architectures for learning the prior.”

“SLMs struggle to follow the required style when the instruction is placed in system messages rather than user messages, which contradicts the intended function of system prompts.”

“The bolometric light curve indicates a synthesized $^{56}$Ni mass of $0.120\pm0.003~ ext{M}_{\odot}$, with an estimated ejecta mass of $0.79\pm0.09~ ext{M}_{\odot}$ and kinetic energy of $0.19 imes10^{51}$ erg.”

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

“The paper introduces the new flexible class of intrinsic Whittle--Matérn Gaussian random fields obtained as the solution to a stochastic partial differential equation (SPDE).”

“The paper introduces SpatialMosaic, a comprehensive instruction-tuning dataset featuring 2M QA pairs, and SpatialMosaic-Bench, a challenging benchmark for evaluating multi-view spatial reasoning under realistic and challenging scenarios, consisting of 1M QA pairs across 6 tasks.”

“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.”

“Leading LLMs showed a uniform 0.00% pass rate on all long-horizon tasks, exposing a fundamental failure in long-term planning.”

“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.”

“Our results mathematically characterize the background magnetic field exerts the stabilizing effect, and bridge the gap left by previous work with respect to the asymptotic behavior in time.”

“The main findings is that when running certain models partially offloaded to GPU, some models perform much better on Vulkan than CUDA”

“MUSIC accurately learns solutions to complex coupled systems under data-scarce and noisy conditions, consistently outperforming non-sparse formulations.”

“PI-MFM consistently outperforms purely data-driven counterparts, especially with sparse labeled spatiotemporal points, partially observed time domains, or few labeled function pairs.”

“I need help collecting data which is partial AI and partially human written so I can finetune it, Any help is appreciated”

“The paper analyzes the refined limiting profiles of the principal eigenpair (λ, φ) for (0.1) as α→∞, which display the visible effect of the large advection on (λ, φ).”

“The resulting evolution exhibits new features absent in the fully wetted case, including the coexistence of moving and pinned facets or the emergence and long-lived metastable states.”

“The IRL-based approach achieves approximately the same performance as the conventional SDRE method, demonstrating its capability as a reliable alternative for nonlinear system control that does not require an explicit environmental model.”

“INTERACT-CMIL achieves consistent improvements over CNN and foundation-model (FM) baselines, with relative macro F1 gains up to 55.1% (WHO4) and 25.0% (vertical spread).”

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“The study likely contributes to the understanding of wave propagation in complex media.”

“The paper likely provides a detailed mathematical treatment of the intersection of cylinders.”

“The paper derives an exact entanglement boundary based on the positivity of the partial transpose, valid in the symmetric resonant limit, and provides an explicit minimum collective fluctuation amplitude required to sustain steady-state entanglement.”

“The research likely explores the properties and behavior of these operators under specific conditions.”

“The study likely employs tools from functional analysis to establish existence, uniqueness, and regularity results for solutions.”

“The effectiveness of sparse subnetworks depends more on how much sparsity is applied in each layer than on the exact weights included in the subnetwork.”

“The study's focus on finite propagation and saturation suggests an interest in the long-term behavior and spatial extent of solutions to the equations.”

“The whole-area electrode achieves the highest output, with a 155 percent increase in power compared to the baseline partial electrode.”

“The paper verifies Sierpinski's Hypothesis H1 for the first $n \leq 4,553,432,387$ and demonstrates partial results for larger n, such as at least one quarter of the rows containing a prime.”

“The main results describe graded module structures of orbit harmonics quotients for the rook, partial transformation, and full transformation monoids.”

“The research focuses on the application of reinforcement learning to the task of quickest change detection within POMDPs.”

“The framework outperforms state-of-the-art methods in both predictive accuracy and interpretability.”

“The research focuses on understanding the transport properties in Indium Gallium Zinc Oxide (IGZO).”

“The context mentions the analysis focuses on qualitative properties of positive solutions.”