“Further details of the project are not available in the provided text, but the concept shows great promise.”

“You throw a ball up (or at an angle), and note down the height of the ball at different points of time.”

“Like, I was doing personality stuff with it, and when replying he sent a "fake link" that led me to Never Gonna Give You Up....”

“By embedding the Riemannian metric tensor into the automatic differentiation graph, our architecture analytically reconstructs the Laplace-Beltrami operator, decoupling solution complexity from geometric discretization.”

“Our estimator can be trained without computing the autocovariance kernels and it can be parallelized to provide the estimates much faster than existing approaches.”

“Since the quality of data-driven ROMs is sensitive to the quality of the limited training data, we seek to identify training parameters for which using the associated training data results in the best possible parametric ROM.”

“近年、Graph Neural Network（GNN）は推薦・化学・知識グラフなど様々な分野で使われていますが、2020年に DeepMind が提案した MeshGraphNets（MGN） は、その中でも特に”

“The predicted melting temperature of 6225 K at 330 GPa.”

“The paper introduces the orthant normal distribution in its general form and shows how it can be used to structure prior dependence in the Bayesian elastic net regression model.”

“Ion-conducting pathways are quasi one-dimensional at short times and evolve into larger, branched structures characterized by a robust fractal dimension $d_f\simeq1.7$.”

“The authors' method enables simulations of bosonic quantum mixtures with substantially larger bond dimensions than previous works.”

“The method achieves approximately $4\sim10 imes$ and $2 imes$ speedups while using $1000$ cores, respectively, under the same level of structural and thermodynamic accuracy and with a reduced memory usage.”

“The paper concludes that the 'Cosmic Himalayas' are not an anomaly, but a natural outcome of structure formation in the Lambda CDM universe.”

“The paper derives fundamental estimation limits for a wide-band near-field sensing systems employing orthogonal frequency-division multiplexing signaling over a coherent processing interval.”

“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 paper proves that α=-1 is the unique choice achieving optimal energy stability under a specific condition, highlighting its theoretical advantage.”

“The paper introduces computational deficiency ($δ_{\text{poly}}$) and the class LeCam-P (Decision-Robust Polynomial Time).”

“The study employs cross-spectral analysis techniques to characterize the coherent dynamics of the flow, providing insight into the influence of geometry on unsteady swirl dynamics.”

“The system achieved a background rate of 0.49 $\rm cpm/cm^2$ while retaining more than 55% of $^{90}$Sr beta signals within a 7 cm diameter detection region.”

“The discovery of a direct second-order transition between the massless and symmetric massive fermion phases.”

“The resulting machine learning interatomic potential accurately reproduces experimental properties including volume expansion, operating voltage, and sodium concentration-dependent structural transformations, while revealing a four-order-of-magnitude difference in sodium diffusivity between the rhombohedral (sodium-rich) and tetragonal (sodium-poor) phases at 300 K.”

“The paper demonstrates a proof-of-concept generative surrogate for reconstructing coherent turbulent dynamics between sparse snapshots.”

“The multimodal design achieved an 83% boost in 31P B1 efficiency and a 21% boost in 1H B1 efficiency at the coil center compared to same-sized single-tuned references.”

“The high-density coexisting states are liquid-like in the binary cases.”

“The avalanche multiplication factor is sufficiently high ($G_ ext{av} \approx 1.3 \cdot 10^5$) to convert a mere 5.5 A seed current into macroscopic RE beams of $\approx 0.7$ MA when large amounts of impurities are present.”

“The study provides additional evidence that high-$M_A$ regions of coronal shock surface are instrumental in energetic particle phenomenology.”

“The paper establishes the consistency of the QMLE and derives its asymptotic distribution, and proposes a bias-corrected estimator.”

“The paper provides an analytical expression of the Lyapounov as a function of energy in the presence of both diagonal and off-diagonal disorder.”

“For any Feller's Brownian motion that is not purely driven by jumps at the boundary, we construct a sequence of boundary random walks whose appropriately rescaled processes converge weakly to the given Feller's Brownian motion.”

“The proposed HOOA achieves significant improvements, which reduces average task completion delay by 2.5% and average energy consumption by 3.1% compared with the best-performing benchmark approach and state-of-the-art DRL algorithm, respectively.”

“HMP-DRL consistently outperforms other methods, including state-of-the-art approaches, in terms of key metrics of robot navigation: success rate, collision rate, and time to reach the goal.”

“Carbon transport is dominated by facet-dependent surface diffusion, bounding sustainable supply on a 2.0 nm particle to ~44 carbon atoms per μs on the slow (10̄11) facet.”

“Classical approaches retain high-order accuracy and strong computational efficiency for single-instance problems... Physics-informed neural networks (PINNs) are also able to reproduce qualitative solutions but are generally less accurate and less efficient in low dimensions than classical solvers.”

“gg-Mix assumes only independence between the normal means and variances, without imposing any structural restrictions on their distributions.”

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

“The paper derives a symmetry that relates expectation values of Pauli strings, allowing for the reduction in the number of measurements needed when simulating fermionic systems.”

“The proposed method substantially improves power when p-values are conservative, while achieving comparable performance to existing methods when p-values are exact.”

“The paper introduces smooth cumulative- and inverse-cumulative-distribution-function ((I)CDF) timesteppers that evolve distributions rather than particles.”

“The authors obtain accurate ground-state energies for lattices up to 80 x 80 (6400 spins) and train deep Boltzmann machines for a system with 35 x 35 (1225 spins).”

“The simulations produce strong upper-chromospheric heating, multiple shock fronts, and continuum enhancements up to a factor of 2.5 relative to pre-flare levels, comparable to continuum enhancements observed during strong X-class white-light flares.”

“The introduction of a size-dependent "best" conductivity, $κ_{\mathrm{best}}$, allows FEM to reproduce MD hot-spot temperatures with high fidelity.”

“The paper introduces Energy-Aware Bayesian-CBFs (EB-CBFs) that construct conservative energy-based barriers directly from the Hamiltonian and vector-field posteriors, yielding safety filters that minimally modify a nominal controller while providing probabilistic energy safety guarantees.”

“Increasing strain rate promotes the activation of a growing number of stronger sites. Dislocation avalanches become larger through the superposition of simultaneous events and because stronger obstacles are required to arrest them.”

“The proposed methods substantially outperform nuclear-norm-based and non-robust alternatives under heavy-tailed noise and contamination.”

“The paper proposes 'weighted geometric mean' odds ratios and relative risks, and 'weighted mean' risk differences as transparent summary measures for ordinal outcomes.”

“Molecular dynamics simulations of 5 keV cascades predict enhanced peak defect production and recombination relative to a widely used empirical potential, indicating different cascade evolution.”

“In this tutorial, we demonstrate how we simulate a privacy-preserving fraud detection system using Federated Learning without relying on heavyweight frameworks or complex infrastructure.”

“The paper presents the first construction of an NN-FT that encodes the full Virasoro symmetry of a 2d CFT.”

“The pipeline can execute the software stack and the simulation up to three times faster than real-time.”

“The study demonstrates the feasibility of anatomically realistic $μ$FE simulations at this scale, with models containing over $8\times10^{8}$ DOFs.”