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“The paper develops an approximate Stein's Unbiased Risk Estimator (SURE) for the average mean squared error and establishes asymptotic optimality and regret bounds for a class of machine learning-assisted linear shrinkage estimators.”

“The best solution approach for a practical path-based model reduces the IP gap by an average of 26.5% and 22.5% for the two largest instance groups, compared to solving the reformulation alone.”

“The paper revisits the process of eigenvalue approximation from the perspective of computational spectral geometry.”

“The basic inequality upper bounds f(θ_T)-f(z) for any reference point z in terms of the accumulated step sizes and the distances between θ_0, θ_T, and z.”

“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 introduces the semi-overlapping multi-(multi-armed) bandit (SOMMAB), in which a single evaluation provides distinct feedback to multiple bandits due to structural overlap among their arms.”

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

“The method effectively suppresses spectral pollution and resolves closely spaced spectral components.”

“The paper proves that for certain values of the circle diameter, the number of touching pairs is less than that from a specific spiral construction, which is conjectured to be extremal.”

“The paper discovers three new families of periodic orbits and proves the existence of stable periodic orbits for restitution coefficients larger than previously known.”

“The Bayesian analysis demonstrates that the observational bounds are effective in significantly constraining the low-density region of the equation of state.”

“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.”

“Higgs-like inflation in $f(T,φ)$ gravity is fully consistent with current bounds, naturally accommodating the preferred shift in the scalar spectral index and leading to distinctive tensor-sector signatures.”

“The paper identifies "smooth branches of extremal amplitudes separated by sharp kinks at $d=5$ and $d=7$, coinciding with a transition in threshold analyticity and the loss of some well-known dispersive positivity constraints."”

“The paper proposes a novel sparse-penalization framework for high-dimensional Pconf classification.”

“The paper provides an expression of the optimal terminal wealth for complete markets using max-plus decomposition and derives explicit forms for the Black-Scholes-Merton model.”

“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.”

“For all \( n \geq \exp\exp(30.5) \), \( \mathrm{PD}_n \) is graphic.”

“The paper introduces a kernel Cheeger constant that quantifies connectedness relative to kernel localization, yielding a clean stability certificate.”

“The paper develops a general and computationally tractable framework for computing sharp bounds on the effects of counterfactual policies.”

“The paper presents a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to finite-dimensional systems evolving under general nonunitary dynamics.”

“The algorithm exhibits an iteration complexity that matches the best known complexity result for obtaining an (ε₁,ε₂,0)-stationary point when h is Lipschitz.”

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“GCA losses are $H$-consistent for any hypothesis set that is bounded or complete, with $H$-consistency bounds that scale more favorably as $1/\sqrt{\mathsf p_{\min}}$, offering significantly stronger theoretical guarantees in imbalanced settings.”

“The paper formalizes LDA search as an optimal stopping problem and provides an adaptive stopping algorithm that yields a high-probability upper bound on the gains achievable from a continued search.”

“The paper establishes asymptotically tight lower and upper bounds on the over-thresholds and shows that for infinitely many instances of m the two bounds coincide.”

“The paper provides explicit code parameters and properties as well as some additional bounds on parameters such as rank and distance.”

“The paper establishes upper bounds on the suboptimality gap in both offline and online settings for private and robust alignment.”

“The paper identifies quantum geometric bounds for observables in non-Hermitian systems and showcases these findings in topological systems with non-Hermitian Chern numbers.”

“The algorithm consistently achieves lower error than the fluid-based method, and even one order of magnitude lower in a fusion-relevant test case. Moreover, the algorithm exhibits a significant speedup compared to the reference kinetic MC method.”

“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).”

“DSC models the weight update as a residual trajectory within a Star-Shaped Domain, employing a Magnitude-Gated Simplex Interpolation to ensure continuity at the identity.”

“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.”

“Any tropical circuit calculating the optimal value of a Traveling Salesperson round tour uses at least $2^{Ω(k \log \log k)}$ gates.”

“The paper gives finite-sample uniform convergence bounds for accuracy and calibration functionals of VLM-induced classifiers under Lipschitz stability with respect to prompt embeddings.”

“The paper proposes Trust Region Masking (TRM), which excludes entire sequences from gradient computation if any token violates the trust region, providing the first non-vacuous monotonic improvement guarantees for long-horizon LLM-RL.”

“The paper establishes improved upper and lower bounds on γ(C_ℓ^k) for general ℓ not divisible by k. It also determines the exact value of γ(C_ℓ^k) for integers ℓ not divisible by k in a set of (natural) density at least φ(k)/k.”

“The error of approximation of the $2π$-periodic sawtooth function $(π-x)/2$, $0\leq x<2π$, by its $n$-th Fourier polynomial is shown to be bounded by arccot$((2n+1)\sin(x/2))$.”

“The paper proves that there exist upper and lower bounds which are constant multiples of n^{-u/2} (dim V)^n, where u is the dimension of any maximal unipotent subgroup of G.”

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“Precision measurements of resonance masses at colliders provide sensitivity to LIV at the level of $10^{-9}$, comparable to bounds derived from cosmic rays.”

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“The paper establishes tight distribution-dependent and -independent bounds for binary classification and extends these bounds to multi-class classification, including adversarial scenarios.”

“Neglecting the PEs in the PDAs leads to an overestimation of the RIS performance gain, explaining the discrepancies between theoretical and measured results.”

“The paper develops a new covariance approximation method based on Gaussian approximation, implemented via an iterative application of Stein's method.”

“The paper derives upper and lower bounds on estimation error, proving optimality of the method with noisy data.”

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“The paper establishes bounds, presents realizability results, determines exact values for some graph families, and demonstrates an equivalence between the weighted Roman domination number and the differential of a weighted graph.”

“The paper demonstrates "exponential convergence rates of POD Galerkin methods that are based on truth solutions which are obtained offline from low-order, divergence stable mixed Finite Element discretizations."”