“The proposed sampler consistently improves sample quality under the same NFE budget and can be competitive with, and sometimes outperform, state-of-the-art higher-order samplers.”

“The proposed DRL controllers achieve online inference times of 0.6 ms per decision versus roughly 370-550 ms for AO-WMMSE solvers.”

“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.”

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

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

“The CPU time was 5-11 ms for depth doses and fluence spectra at multiple depths. Gaussian beam calculations took 31-78 ms.”

“The paper introduces two complementary high-order strategies for triangular elements: a reduced quadrilateralization approach and a triangle based spectral element method based on Dubiner polynomials.”

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

“The paper introduces 'incremental certificate learning' to maximize work in sound linear relaxation and invoke exact piecewise-linear reasoning only when relaxations become inconclusive.”

“PINNs run 90,000 times slower than finite difference with larger errors.”

“The paper discusses the use of VQE as a novel SAT-solver and the importance of qubit efficiency in the Noisy Intermediate Scale Quantum-era.”

“The method couples a high-fidelity, asymptotic-preserving VPL solver with inexpensive, strongly correlated surrogates based on the Vlasov--Poisson--Fokker--Planck (VPFP) and Euler--Poisson (EP) equations.”

“The paper argues that 'stochastic generative models can be fragile in operational domains unless paired with mechanisms that provide verifiable feasibility, robustness to distribution shift, and stress testing under high-consequence scenarios.'”

“McCoy orchestrates an LLM to translate medical literature into ASP code, combines it with patient data, and processes it using an ASP solver to arrive at the final diagnosis.”

“The model provides amortized predictions of conditional distributions over any arbitrary points in the data. Compared to previous NP models, our model is simple to implement and can be used to sample from conditional distributions using an ODE solver, without requiring auxiliary conditioning methods.”

“The learned model consistently reduces the discrepancy between quantum and classical solutions beyond what is achieved by ZNE alone.”

“BSFfast provides precomputed, tabulated effective BSF cross sections for a wide class of phenomenologically relevant models, including highly excited bound states and, where applicable, the full network of radiative bound-to-bound transitions.”

“The proposed preconditioners significantly accelerate the convergence of iterative solvers compared to existing methods.”

“The results confirm the high-order accuracy of the model through convergence studies and demonstrate a substantial speed-up over low-order numerical schemes.”

“The paper proposes a higher-order argumentation framework with supports ($HAFS$), which explicitly allows attacks and supports to act as both targets and sources of interactions.”

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

“The paper utilizes a sampling-free intrusive stochastic Galerkin approach and domain decomposition (DD)-based solvers.”

“The title itself provides the core information: the problem (relative pose estimation), the constraints (unknown focal length, two affine correspondences), and the approach (minimal solver).”

“EPD-Solver leverages the Mean Value Theorem for vector-valued functions to approximate the integral solution more accurately.”

“The paper finds that the complexity of solving the Poisson equation can either increase or decrease with the Reynolds number, depending on the specific flow being simulated (e.g., Navier-Stokes turbulence vs. Burgers equation).”

“The paper highlights the transition from 'solver-centric' to 'data-centric' paradigms in scheduling, emphasizing the shift towards learning from experience and adapting to dynamic environments.”

“The library provides a deployable tool for teaching quantum mechanics and preliminary exploration of tunneling dynamics.”

“"AIに聞けば何でもできる」「AIに任せた方が速い" (Anything can be done by asking AI, it's faster to leave it to AI)”

“LD-DIM achieves consistently improved numerical stability and reconstruction accuracy of both parameter fields and corresponding PDE solutions compared with physics-informed neural networks (PINNs) and physics-embedded variational autoencoder (VAE) baselines, while maintaining sharp discontinuities and reducing sensitivity to initialization.”

“The context mentions that the article is from ArXiv, indicating a pre-print research paper.”

“The algorithm solves weighted MaxCut instances with up to 1000 vertices using only 10 qubits, and numerical results indicate that it consistently outperforms the Goemans-Williamson algorithm.”

“The results...show that this tailored workflow achieves financial performance on par with classical methods while delivering a broader set of high-quality investment strategies.”

“The lower triangular matrix $L_G$ and the upper triangular matrix $U_G$, generated by FSAI, are non-singular and non-negative. The diagonal entries of $L_GAU_G$ are positive and $L_GAU_G$, the preconditioned matrix, is a singular M-matrix.”

“PALB exhibits empirical log-linear scaling.”

“Our bi-objective approach reduces aid distribution inequity by 34% without compromising efficiency.”

“今回はLLMから数理最適化ソルバーを呼び出す 数理最適化MCP（ReMIP MCP） とそれを使ったデモを作ったので紹介します。”

“The study focuses on solving life-and-death problems in the game of Go.”

“Learning Physics on Irregular Domains Using Multi-scale Geometry Aware Physics Attention Transformer”

“The research focuses on the hybridization of neural operators and traditional solvers.”

“Generative Krylov Subspace Representations for Scalable Quantum Eigensolvers”

“Solver-Independent Automated Problem Formulation via LLMs”

“The context implies the focus is on utilizing solvers for optimization problems with constraints.”

“”

“The article is a research paper, so direct quotes are not available without access to the full text. However, the core concepts revolve around CDCL and VSIDS within the context of facility layout optimization.”

“The article likely contains specific details about the computational methods used, such as the type of solvers, mesh generation techniques, and turbulence models employed.”

“The paper uses convolutional-neural-operator-based transfer learning.”

“The research focuses on Answer Set Programming (ASP) for logic puzzle solving.”

“The article focuses on combining multiple solvers through deep neural networks.”

“The article's source is ArXiv, suggesting a peer-reviewed academic publication.”

“The paper focuses on Hybrid Iterative Solvers with Geometry-Aware Neural Preconditioners for Parametric PDEs.”