“Compared with the kinetic Langevin sampling algorithm, the proposed algorithm exhibits a higher contraction rate in the asymptotic time regime.”

“Softmax takes the raw, unbounded scores produced by a neural network and transforms them into a well-defined probability distribution...”

“Generative classifiers...can avoid this issue by modeling all features, both core and spurious, instead of mainly spurious ones.”

“The key methodological innovation is that orthogonal complement projections completely eliminate cross-modal interference when estimating each loading space.”

“The bursts exhibit significant morphological diversity, including multiple sub-bursts, downward frequency drifts, and intrinsic widths ranging from 1.032 - 32.159 ms.”

“Models that anticoncentrate are not trainable on average.”

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

“The paper proposes a non-negative matrix factorization based on the generalized Poisson distribution, which can flexibly accommodate overdispersion, and introduces a maximum likelihood approach for parameter estimation.”

“The paper shows that the DLA dimension grows as $Θ(4^n)$ for weighted graphs (with continuous weight distributions) and almost all unweighted graphs, implying barren plateaus.”

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

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

“The paper derives the polynomial rate of decay of ruin probabilities in insurance portfolios where insolvency is driven by a single extreme claim.”

“Backpropagation arises as the differential of a KL projection map on a delta-lifted factorization.”

“BSD consistently yields higher test accuracy (e.g. +1.4% for ResNet-50 on CIFAR-100) and significantly lower Expected Calibration Error (ECE) (-40% ResNet-50, CIFAR-100) than existing architecture-preserving self-distillation methods.”

“The modular reduction allows us to exploit any SLC sampling algorithm in order to traverse the backwards path, and we establish novel guarantees with short proofs for both uni-modal and multi-modal densities.”

“The findings reveal a surprising dichotomy: while the number of samples needed to accurately tilt a bounded random vector increases polynomially in the tilt amount, it increases at a super polynomial rate for unbounded distributions.”

“The paper claims an enhanced convergence rate of order $\mathcal{O}(h)$ in the $L^2$-Wasserstein distance, significantly improving the existing order-half convergence.”

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“The paper provides a quantitative framework for selecting effective free energy estimation strategies in condensed-phase systems.”

“The adder property is preserved despite changes in growth dynamics, emphasizing that the reduction in size variability is a consequence of the growth law rather than simple scaling with mean size.”

“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 paper states: "We recover many RRab groups associated with known Galactic GCs and derive the first RR Lyrae-based distances for BH 140 and NGC 5986. We also detect small groups of two to three RRab stars at distances up to ~25 kpc that are not associated with any known GC, but display GC-like distributions in all six parameters."”

“The paper derives a fundamental identity that connects the (path-) derivative of a (possibly) non-Euclidean energy score to the score of the noisy marginal.”

“The RCP fraction depends nearly linearly on this parameter, leading to a universal collapse of simulation data.”

“EGDA achieves robust cross-session performance, obtaining accuracies of 81.22%, 80.15%, and 83.27% across three transfer tasks, and surpassing several baseline methods.”

“The paper predicts sizable $\cos(2φ)$ and $\cos(4φ)$ azimuthal asymmetries arising from the interference of linearly polarized photon states.”

“The paper highlights the scaling hypothesis for loop-length distributions, the emergence of critical exponents $τ=15/7$, $d_f=7/4$, and $σ=3/7$ in several universality classes.”

“The authors propose constraining the RL objective to a dynamically-pruned ``safe'' vocabulary that excludes the extreme tail.”

“FLEX-MoE introduces client-expert fitness scores that quantify the expert suitability for local datasets through training feedback, and employs an optimization-based algorithm to maximize client-expert specialization while enforcing balanced expert utilization system-wide.”

“The paper provides the first mechanistic evidence that Non-IID data distributions cause structurally distinct local circuits to diverge, leading to their degradation in the global model.”

“The paper derives a closed-form expression for the system reliability of a 1-out-of-n cold standby redundant system.”

“The title suggests a focus on theoretical analysis within the field of probability and statistics, specifically related to Markov processes and the Wasserstein distance.”

“MetaCD outperforms other baselines in both accuracy and generalization.”

“SwinCCIR effectively overcomes problems of conventional CC imaging, which are expected to be implemented in practical applications.”

“The paper quantifies how the constraining capacities vary across different detectors and source parameters, and identifies the regions of parameter space that satisfy the small-coupling condition.”

“FoldAct explicitly addresses challenges through three key innovations: separated loss computation, full context consistency loss, and selective segment training.”

“Reformulated prompts most effectively improve alignment by reducing distribution concentration on socially acceptable answers and achieving distributions closer to ANES.”

“The experimental cross sections represent experimental benchmark data for the further development of quantum theoretical methods, which will have to provide the bulk of the atomic data required for the modeling of nonequilibrium plasmas such as kilonovae.”

“The paper introduces a general active nonparametric testing procedure that combines an adaptive source-selecting strategy within the testing-by-betting framework.”

“The study demonstrates that the hybrid field coupling of the IR illumination with a polymer nanosphere and a metallic AFM probe is nearly as strong as the plasmonic coupling in case of a gold nanosphere.”

“The paper develops a tractable inferential framework that avoids label enumeration and direct simulation of the latent state, exploiting a duality between the diffusion and a pure-death process on partitions.”

“FedAuto mitigates the combined effects of connection failures and data heterogeneity via adaptive aggregation.”

“The extracted NMDs of complex nuclei show better agreement with ab initio calculations across the low- and high-momentum range, especially around $k_F$, successfully reproducing both the behaviors of Fermi motion and SRCs.”

“The modular structure enables flexible policy adaptation to new tasks by adding or fine-tuning components, which inherently mitigates catastrophic forgetting.”

“The source exhibited extreme activity for a few months after its discovery and sustained its active phase for over 500 days.”

“The paper proposes a distributed inference framework for data integration in the presence of both distribution heterogeneity and data structural heterogeneity.”

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“SCL-PNC induces the convergence of the incremental expansion model through a structured combination of the expandable backbone, adapt-layer, and the parametric ETF classifier.”

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