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We consider the problem of randomly choosing the sensors of a linear time-invariant dynamical system subject to process and measurement noise. We sample the sensors independently and from the same distribution. We measure the performance of…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Christopher I. Calle , Shaunak D. Bopardikar

This paper presents a Cramer-Rao bound (CRB) for the estimation of parameters confined to an arbitrary set. Unlike existing results that rely on equality or inequality constraints, manifold structures, or the nonsingularity of the Fisher…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Heedong Do , Angel Lozano

New developments in empirical analyses of the proton-proton differential cross section data at high energies are reported. Making use of an unconstrained model-independent parametrization for the scattering amplitude and two different fit…

High Energy Physics - Phenomenology · Physics 2011-05-27 D. A. Fagundes , M. J. Menon , G. L. P. Silva

We present the construction and performance of a plug-n-play type point contact spectroscopy probe equipped with a piezo-driven coarse approach mechanism for sub-kelvin applications. A modular assembly has been built which can be placed in…

Superconductivity · Physics 2020-01-08 Shekhar Das , Goutam Sheet

Atomic force microscopy (AFM) is a powerful tool to investigate interaction forces at the micro and nanoscale. Cantilever stiffness, dimensions and geometry of the tip can be chosen according to the requirements of the specific application,…

Applied Physics · Physics 2020-07-31 M. Chighizola , L. Puricelli , L. Bellon , A. Podestà

The power of quantum sensing rests on its ultimate precision limit, quantified by the quantum Cramer-Rao bound (QCRB), which can surpass classical bounds. In multi-parameter estimation, the QCRB is not always saturated as the quantum nature…

Quantum Physics · Physics 2024-05-24 Changhao Li , Mo Chen , Paola Cappellaro

We compute bounds on coefficients of effective operators in the Standard Model that can be inferred from observations of neutrino scattering by the COHERENT experiment. While many operators are bound extremely well by past experiments the…

High Energy Physics - Phenomenology · Physics 2022-11-01 Witold Skiba , Qing Xia

recently proposed strictly phenomenological static quark-antiquark potential belonging to the generality $V(r)=-Ar^{-\alpha}+\kappa r^{\beta}+V_{0}$ is tested with heavy quarkonia in the context of the shifted large N-expansion method. This…

High Energy Physics - Phenomenology · Physics 2009-11-11 Sameer M. Ikhdair , Ramazan Sever

With recent advances in scanning probe microscopy (SPM), it is now routine to determine the atomic structure of surfaces and molecules while quantifying the local tip-sample interaction potentials. Such quantitative experiments are based on…

Applied Physics · Physics 2018-12-24 Omur E. Dagdeviren , Yoichi Miyahara , Aaron Mascaro , Tyler Enright , Peter Grütter

We examine the constraints that future lepton colliders would impose on the effective field theory describing modifications of top-quark interactions beyond the standard model, through measurements of the $e^+e^-\to bW^+\:\bar bW^-$…

High Energy Physics - Phenomenology · Physics 2017-09-01 Gauthier Durieux

In the Tapping mode, a variation of the oscillation amplitude and phase as a function of the tip sample distance is the necessary measurement to access quantitatively to the properties of the surface. In the present work, we give a…

Atomic and Molecular Clusters · Physics 2016-08-16 Jean-Pierre Aimé , Rodolphe Boisgard , Laurent Nony , Gérard Couturier

We use molecular dynamics simulations to test integral equation theory predictions for the structure of fluids of spherical particles with eight different piecewise-constant pair interaction forms comprising a hard core and a combination of…

Soft Condensed Matter · Physics 2015-05-01 Kyle B. Hollingshead , Thomas M. Truskett

We analyse the precision limits for simultaneous estimation of a pair of conjugate parameters in a displacement channel using Gaussian probes. Having a set of squeezed states as an initial resource, we compute the Holevo Cram\'er-Rao bound…

Quantum Physics · Physics 2020-05-27 Syed M. Assad , Jiamin Li , Yuhong Liu , Ningbo Zhao , Wen Zhao , Ping Koy Lam , Z. Y. Ou , Xiaoying Li

Adequacy for estimation between an inferential method and a model can be de{\ldots}ned through two main requirements: {\ldots}rstly the inferential tool should de{\ldots}ne a well posed problem when applied to the model; secondly the…

Statistics Theory · Mathematics 2025-07-30 Michel Broniatowski , Justin Moutsouka

Electroweak precision tests of the Standard Model of the fundamental interactions are reviewed ranging from the lowest to the highest energy experiments. Results from global fits are presented with particular emphasis on the extraction of…

High Energy Physics - Phenomenology · Physics 2012-09-25 Jens Erler

A version of quantum Cram\'{e}r-Rao bound dictates that the covariance of any set of operators is bounded by a product of the derivatives of expectation values and the inverse of quantum metric. We elaborate that because quantum metric…

Quantum Physics · Physics 2026-03-06 Wei Chen

We investigate the ultimate precision achievable in Gaussian quantum metrology. We derive general analytical expressions for the quantum Fisher information matrix and for the measurement compatibility condition, ensuring asymptotic…

Quantum Physics · Physics 2018-07-18 Rosanna Nichols , Pietro Liuzzo-Scorpo , Paul A. Knott , Gerardo Adesso

In real supervised learning scenarios, it is not uncommon that the training and test sample follow different probability distributions, thus rendering the necessity to correct the sampling bias. Focusing on a particular covariate shift…

Machine Learning · Computer Science 2012-06-22 Yaoliang Yu , Csaba Szepesvari

This paper evaluates state-of-the-art contact models at predicting the motions and forces involved in simple in-hand robotic manipulations. In particular it focuses on three primitive actions --linear sliding, pivoting, and rolling-- that…

Robotics · Computer Science 2017-11-01 Roman Kolbert , Nikhil Chavan-Dafle , Alberto Rodriguez

In this paper, we derive for the first time the exact Cramer-Rao bounds (CRBs) on semi-blind channel estimation for amplify-and-forward two-way relay networks. The bounds cover a wide range of modulation schemes that satisfy a certain…

Information Theory · Computer Science 2012-07-24 Saeed Abdallah , Ioannis N. Psaromiligkos