Results 101 to 110 of about 467,935 (128)
On Two Extensions of Hilbert’s Integral Inequality
. The norm of a Hilbert’s type linear operator T : L 2 (0,∞) → L 2 (0,∞) is given. By introducing some parameters, we give the norms of two extensions of Hilbert’s integral operator.
Z. Jokar
doaj
The Cross‐Kernel Margin: A Robustness Measure for Quantum Kernel Methods
The cross‐kernel margin is introduced as a robustness measure for Quantum Kernel‐Assisted Support Vector Machines. This metric evaluates a classifier learned from a perturbed kernel within the ideal, unperturbed kernel geometry. Derived stability bounds quantify the corresponding inverse squared‐margin deviation and are numerically tested under local ...
S. Govender, I. Sinayskiy
wiley +1 more source
Adaptive Estimation for Weakly Dependent Functional Times Series
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro +2 more
wiley +1 more source
Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation
ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
wiley +1 more source
On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems
ABSTRACT We study prethermalization in time‐independent quantum many‐body systems on a d$d$‐dimensional lattice with an extensive local Hamiltonian H=N+εP$H=N+\varepsilon P$, in the regime where ε≪1$\varepsilon \ll 1$. We prove that the prethermal timescale is exponential in ε0/ε$\varepsilon _0/\varepsilon$, where ε0$\varepsilon _0$ is an explicit ...
Matteo Gallone
wiley +1 more source
Repelled Point Processes With Application to Numerical Integration
ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
wiley +1 more source
Sparse Minimum Redundancy Maximum Relevance for Feature Selection
ABSTRACT We propose a feature screening method that integrates both feature–feature and feature–target relationships. Inactive features are identified via a penalized minimum Redundancy Maximum Relevance (mRMR) procedure, which is the continuous version of the classical mRMR penalized by a non‐convex regularizer, and where the parameters estimated as ...
Peter Naylor +3 more
wiley +1 more source
When weak convergence in von Neumann algebras implies almost uniform convergence?
Abstract We show that weak sequential convergence in a semifinite von Neumann algebra M$\mathcal {M}$ equipped with a faithful normal semifinite trace τ$\tau$ implies almost uniform convergence if and only if M$\mathcal {M}$ is of type Ifin$\mathrm{I}_{\rm fin}$ with τ(1)<∞;$\tau (\mathbf {1})<\infty;$ and that weak sequential convergence in a finite ...
Yerlan Nessipbayev +2 more
wiley +1 more source
Geometry of essential matrix ranges and the Smith–Ward problem for operator systems
Abstract A d$d$‐tuple of bounded linear selfadjoint operators acting on an infinite‐dimensional separable Hilbert space is said to have the Smith–Ward property if the identity map of the image of the operator system in the Calkin algebra has a completely positive lift.
Douglas Farenick +2 more
wiley +1 more source
A short walk in quantum probability. [PDF]
Hudson R.
europepmc +1 more source

