“The author is working on a disease prediction model with a small tabular dataset and is questioning the feasibility of using classical ML techniques.”

“The PDE-ODI principle converts a broad class of parabolic differential equations into systems of ordinary differential inequalities.”

“The discrete period matrix admits the same canonical decomposition $Π= rac{1}{2} H + i T$ as in the smooth setting, where $H$ encodes the topological type and $T$ is purely imaginary.”

“The paper clarifies the roles of wavefunctions and averaging over moduli, concluding that holographic computations may be performed with or without averaging.”

“The paper derives closed-form Cram'er--Rao bounds (CRBs) for joint estimation of target position, velocity, and radar cross-section (RCS).”

“The paper develops a monotone iterative technique of lower and upper solutions to investigate the existence, uniqueness and approximability of the solution for the original classical Melan equation.”

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

“Including quantum anharmonicity simplifies the free-energy landscape and is essential for correct stability rankings, that is especially important for high-temperature phases that could be missed in classical 0 K CSP.”

“The paper focuses on Chern-Simons theory in 3D, motivated by its applications in condensed matter physics, gravity, and black hole physics, and explores its connection to asymptotic symmetries and integrable systems.”

“The paper finds that the entanglement entropy of Hawking radiation before the Page time increases with time, with the slope determined by the central charge. After the Page time, the unitarity of black hole evaporation is restored, and the entanglement entropy includes a logarithmic correction related to the central charge.”

“Models that anticoncentrate are not trainable on average.”

“The paper proves a new BD entropy inequality for a class of non-isentropic compressible fluids and shows the "viscous shallow water system with transport entropy" will admit global classical solutions for arbitrary large initial data to the spherically symmetric initial-boundary value problem in both two and three dimensions.”

“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 paper discusses 'nonlocally interacting spin systems realized by coupling many atoms to a delocalized mode of light.'”

“The resulting thermodynamic pressure increases with temperature but exhibits an approximately logarithmic dependence.”

“The Q-VWSD model outperforms state-of-the-art classical methods, particularly by effectively leveraging non-specialized glosses from large language models, which further enhances performance.”

“The paper establishes error bounds for the reconstructed solution and the source term without requiring classical source conditions, and derives an expected convergence rate for the source error in a weaker topology.”

“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 identifies the obstruction to the existence of the Prequantum Groupoid as the non-additivity of the integration of the prequantum form on the space of loops.”

“The paper demonstrates "parallel and independent control of 49-channel with negligible crosstalk and high uniformity."”

“Convolution defines a matrix transform that preserves positivity.”

“The discovered accelerator, featuring second differences and cross-product terms, achieved over 75 percent success rate in improving convergence compared to raw sequences.”

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

“The paper establishes the existence of weak steady solutions and provides a necessary and sufficient condition for nontrivial translational or rotational motion.”

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

“The paper demonstrates that classical crosstalk effects can significantly alter multi-qubit dynamics, which previous models could not explain.”

“The paper's key finding is the development of a semiparametric framework for debiased inverse reinforcement learning that yields statistically efficient inference for a broad class of reward-dependent functionals.”

“The resulting equations take the form of Regge-Wheeler equations modified by expectation values of the quantum black hole geometry, providing a clear characterization of quantum corrections to the classical description of the black hole interior.”

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

“The paper states: "This represents the first time that itinerant many-body systems have been prepared from rearranged atoms, opening the door to bottom-up assembly of a wide range of neutral-atom and molecular systems."”

“The paper emphasizes the simplicity and platform independence of the Gaussian (phase-space) framework.”

“The paper develops a relativistic generalization of the Lindblad master equation to model the electron's radiative dynamics.”

“The coarsening is realized by collapsing short edges. In order to capture the topological information required to calibrate the reduction level, we adapt the construction of classical topological descriptors made for point clouds (the so-called persistent diagrams) to spatial graphs.”

“Using number-theoretic methods, we completely classify these obstructions in the codimension three case revealing some delicate connections between Betti tables, commutative algebra and classical Diophantine equations.”

“The paper builds examples of real space sextics with 64 and 120 totally real tritangents.”

“The word problem is algorithmically decidable for finitely generated just infinite groups given by a recursively enumerable set of relations.”

“The paper reveals the structure of superconducting Berry curvatures and derives the superconducting Berry curvature induced thermal Edelstein effect and spin Nernst effect.”

“The rescaled Hitchin metric converges, in the semiclassical limit, to the hyperkähler metric on the hyperpolygon space.”

“The specific symmetry of 2D materials can induce a significant linear exciton Hall (Nernst) effect even without Berry curvature.”

“The paper demonstrates 'the generation of unclonable keys for one-time pad encryption which can be reconfigured on the fly by applying small voltages to on-chip thermo-optic elements.'”

“The article likely discusses the potential benefits of quantum machine learning in this specific context, such as improved computational efficiency or accuracy compared to classical methods.”

“The resulting augmented excess free-energy functional quantitatively reproduces equilibrium density profiles, coexistence curves, and surface tensions across a broad temperature range, and accurately predicts contact angles and droplet shapes far beyond the training regime.”

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

“The paper finds a robust 4Q bipartite lattice of hedgehogs and antihedgehogs which melts through a first order phase transition.”

“TabMixNN provides a unified interface for researchers to leverage deep learning while maintaining the interpretability and theoretical grounding of classical mixed-effects models.”

“”

“Propositional logics are usually polynomial-time reducible to their fragments with at most two variables (often to the one-variable or even variable-free fragments).”

“The paper proves that the family of Bethe subspaces extends regularly to the minimal wonderful model of the toric arrangement.”

“The paper analyzes various hybrid quantum-classical machine learning (ML) models to improve beam prediction performance.”

“The paper proves that the new partition sampling method yields stratified sampling point sets with lower expected star discrepancy than both classical jittered sampling and simple random sampling.”