keyword
https://read.qxmd.com/read/37509939/on-the-applicability-of-quantum-machine-learning
#21
JOURNAL ARTICLE
Sebastian Raubitzek, Kevin Mallinger
In this article, we investigate the applicability of quantum machine learning for classification tasks using two quantum classifiers from the Qiskit Python environment: the variational quantum circuit and the quantum kernel estimator (QKE). We provide a first evaluation on the performance of these classifiers when using a hyperparameter search on six widely known and publicly available benchmark datasets and analyze how their performance varies with the number of samples on two artificially generated test classification datasets...
June 28, 2023: Entropy
https://read.qxmd.com/read/37484295/conserved-quantities-of-euler-lagrange-system-via-complex-lagrangian
#22
JOURNAL ARTICLE
M Umar Farooq, Anum Naseem, C Wafo Soh
In this work we use complex Lagrangian technique to obtain Noether-like operators and the associated conserved quantities of an Euler-Lagrange (EL) system. We show that the three new conserved quantities namely, Noether conserved quantity, Lie conserved quantity and Mei conserved quantity reported by Fang et al. [1] for an EL-system and even more in numbers by Nucci [2] can also be obtained via complex variational formalism. Generally, a linear system of EL-equations possesses maximum 8-dimensional algebra of Noether symmetries and Noether's theorem yields related 8-first integrals...
June 2023: Heliyon
https://read.qxmd.com/read/37478584/independent-and-additive-contribution-of-white-matter-hyperintensities-and-alzheimer-s-disease-pathology-to-basal-forebrain-cholinergic-system-degeneration
#23
JOURNAL ARTICLE
Christine Kindler, Neeraj Upadhyay, Zeynep Bendella, Franziska Dorn, Vera C Keil, Gabor C Petzold
OBJECTIVES: Degeneration of the cholinergic basal forebrain nuclei (CBFN) system has been studied extensively in Alzheimer's disease (AD). White matter hyperintensities are a hallmark of aging as well as a common co-morbidity of AD, but their contribution to CBFN degeneration has remained unclear. Therefore, we explored the influence of white matter hyperintensities within cholinergic subcortical-cortical projection pathways on CBFN volumes and regional gray matter volumes in AD and age- and gender-matched controls...
July 17, 2023: NeuroImage: Clinical
https://read.qxmd.com/read/37420364/determination-of-an-extremal-in-two-dimensional-variational-problems-based-on-the-rbf-collocation-method
#24
JOURNAL ARTICLE
Ahmad Golbabai, Nima Safaei, Mahboubeh Molavi-Arabshahi
This paper introduces a direct method derived from the global radial basis function (RBF) interpolation over arbitrary collocation nodes occurring in variational problems involving functionals that depend on functions of a number of independent variables. This technique parameterizes solutions with an arbitrary RBF and transforms the two-dimensional variational problem (2DVP) into a constrained optimization problem via arbitrary collocation nodes. The advantage of this method lies in its flexibility in selecting between different RBFs for the interpolation and parameterizing a wide range of arbitrary nodal points...
September 23, 2022: Entropy
https://read.qxmd.com/read/37276568/hamiltonian-neural-networks-with-automatic-symmetry-detection
#25
JOURNAL ARTICLE
Eva Dierkes, Christian Offen, Sina Ober-Blöbaum, Kathrin Flaßkamp
Recently, Hamiltonian neural networks (HNNs) have been introduced to incorporate prior physical knowledge when learning the dynamical equations of Hamiltonian systems. Hereby, the symplectic system structure is preserved despite the data-driven modeling approach. However, preserving symmetries requires additional attention. In this research, we enhance HNN with a Lie algebra framework to detect and embed symmetries in the neural network. This approach allows us to simultaneously learn the symmetry group action and the total energy of the system...
June 1, 2023: Chaos
https://read.qxmd.com/read/37267136/larnext-end-to-end-lie-algebra-residual-network-for-face-recognition
#26
JOURNAL ARTICLE
Xiaolong Yang, Xiaohong Jia, Dihong Gong, Dong-Ming Yan, Zhifeng Li, Wei Liu
Face recognition has always been courted in computer vision and is especially amenable to situations with significant variations between frontal and profile faces. Traditional techniques make great strides either by synthesizing frontal faces from sizable datasets or by empirical pose invariant learning. In this paper, we propose a completely integrated embedded end-to-end Lie algebra residual architecture (LARNeXt) to achieve pose robust face recognition. First, we explore how the face rotation in the 3D space affects the deep feature generation process of convolutional neural networks (CNNs), and prove that face rotation in the image space is equivalent to an additive residual component in the feature space of CNNs, which is determined solely by the rotation...
June 2, 2023: IEEE Transactions on Pattern Analysis and Machine Intelligence
https://read.qxmd.com/read/37221188/a-quadratic-time-dependent-quantum-harmonic-oscillator
#27
JOURNAL ARTICLE
F E Onah, E García Herrera, J A Ruelas-Galván, G Juárez Rangel, E Real Norzagaray, B M Rodríguez-Lara
We present a Lie algebraic approach to a Hamiltonian class covering driven, parametric quantum harmonic oscillators where the parameter set-mass, frequency, driving strength, and parametric pumping-is time-dependent. Our unitary-transformation-based approach provides a solution to our general quadratic time-dependent quantum harmonic model. As an example, we show an analytic solution to the periodically driven quantum harmonic oscillator without the rotating wave approximation; it works for any given detuning and coupling strength regime...
May 23, 2023: Scientific Reports
https://read.qxmd.com/read/37212405/general-exponential-basis-set-parametrization-application-to-time-dependent-bivariational-wave-functions
#28
JOURNAL ARTICLE
Mads Greisen Højlund, Alberto Zoccante, Ove Christiansen
We present equations of motion (EOMs) for general time-dependent wave functions with exponentially parameterized biorthogonal basis sets. The equations are fully bivariational in the sense of the time-dependent bivariational principle and offer an alternative, constraint-free formulation of adaptive basis sets for bivariational wave functions. We simplify the highly non-linear basis set equations using Lie algebraic techniques and show that the computationally intensive parts of the theory are, in fact, identical to those that arise with linearly parameterized basis sets...
May 28, 2023: Journal of Chemical Physics
https://read.qxmd.com/read/37162801/arithmetic-statistics-of-prym-surfaces
#29
JOURNAL ARTICLE
Jef Laga
We consider a family of abelian surfaces over <mml:math xmlns:mml="https://www.w3.org/1998/Math/MathML"><mml:mi>Q</mml:mi></mml:math> arising as Prym varieties of double covers of genus-1 curves by genus-3 curves. These abelian surfaces carry a polarization of type (1, 2) and we show that the average size of the Selmer group of this polarization equals 3. Moreover we show that the average size of the 2-Selmer group of the abelian surfaces in the same family is bounded above by 5...
2023: Mathematische Annalen
https://read.qxmd.com/read/37009431/twisted-chiral-algebras-of-class-s-and-mixed-feigin-frenkel-gluing
#30
JOURNAL ARTICLE
Christopher Beem, Sujay Nair
The correspondence between four-dimensional <mml:math xmlns:mml="https://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn></mml:mrow> </mml:math> superconformal field theories and vertex operator algebras, when applied to theories of class <mml:math xmlns:mml="https://www.w3.org/1998/Math/MathML"><mml:mi>S</mml:mi></mml:math> , leads to a rich family of VOAs that have been given the monicker chiral algebras of class <mml:math xmlns:mml="https://www...
2023: Communications in mathematical physics
https://read.qxmd.com/read/36922122/normal-ordering-of-the-angular-momentum-cylindrical-ladder-operators-and-their-products-with-wigner-d-0-%C3%AE%C2%B5-1-functions
#31
JOURNAL ARTICLE
Xuanhao Chang, Dmitry V Millionshchikov, Ilya M Efremov, Sergey V Krasnoshchekov
The operator canonical perturbation theory (CPT) is an efficient tool for solving the molecular vibration-rotation Schrödinger equation. The corresponding Watson Hamiltonian can be written using angular momentum cylindrical ladder operators (Jz , J± = Jx ∓ iJy ) possessing the Lie algebra su(2) commutation relations [J+ , J- ] = 2Jz , [Jz , J± ] = ±J± . The reduced effective Hamiltonians suitable for fitting to observed spectra are traditionally based on Hermitian basis sets, e...
March 14, 2023: Journal of Chemical Physics
https://read.qxmd.com/read/36897984/a-quantum-information-processing-machine-for-computing-by-observables
#32
JOURNAL ARTICLE
F Remacle, R D Levine
A quantum machine that accepts an input and processes it in parallel is described. The logic variables of the machine are not wavefunctions (qubits) but observables (i.e., operators) and its operation is described in the Heisenberg picture. The active core is a solid-state assembly of small nanosized colloidal quantum dots (QDs) or dimers of dots. The size dispersion of the QDs that causes fluctuations in their discrete electronic energies is a limiting factor. The input to the machine is provided by a train of very brief laser pulses, at least four in number...
March 14, 2023: Proceedings of the National Academy of Sciences of the United States of America
https://read.qxmd.com/read/36850645/a-structure-based-iterative-closest-point-using-anderson-acceleration-for-point-clouds-with-low-overlap
#33
JOURNAL ARTICLE
Chao Zeng, Xiaomei Chen, Yongtian Zhang, Kun Gao
The traditional point-cloud registration algorithms require large overlap between scans, which imposes strict constrains on data acquisition. To facilitate registration, the user has to strategically position or move the scanner to ensure proper overlap. In this work, we design a method of feature extraction based on high-level information to establish structure correspondences and an optimization problem. And we rewrite it as a fixed-point problem and apply the Lie algebra to parameterize the transform matrix...
February 11, 2023: Sensors
https://read.qxmd.com/read/36847774/the-multistate-quantum-monte-carlo-algebraic-diagrammatic-construction-method
#34
JOURNAL ARTICLE
Adem Halil Kulahlioglu, Andreas Dreuw
A multistate formulation of the recently developed quantum Monte Carlo (QMC) algebraic diagrammatic construction (ADC) method, QMCADC, is presented. QMCADC solves the Hermitian eigenvalue problem of the second-order ADC scheme for the polarization propagator stochastically by combining ADC schemes with projector quantum Monte Carlo (PQMC). It allows for massively parallel distributed computing and exploits the sparsity of the effective ADC matrix, thereby relaxing memory and processing requirements of ADC methods significantly...
February 27, 2023: Journal of Physical Chemistry. A
https://read.qxmd.com/read/36821260/freeform-optics-characterization-with-surface-registration-and-fitting-algorithms-for-optical-point-based-spatial-path-3d-topography-metrology
#35
JOURNAL ARTICLE
Yiting Duan, Xiaodong Zhang
Accurate characterization of the form error for freeform optics is critical for controlled manufacturing and evaluation of optical properties. To solve the difficulty of current surface registration and fitting algorithms, and improve characterization accuracy of the form error of freeform optics for optical point-based spatial path 3D topography metrology, in this paper, improved surface registration and fitting algorithms are proposed, including a B-spline surface description of freeform optics, point orthogonal projection, registration parameter optimization, and B-spline fitting...
January 20, 2023: Applied Optics
https://read.qxmd.com/read/36712785/explicit-calculation-of-structural-commutation-relations-for-stochastic-and-dynamical-graph-grammar-rule-operators-in-biological-morphodynamics
#36
JOURNAL ARTICLE
Eric Mjolsness
Many emergent, non-fundamental models of complex systems can be described naturally by the temporal evolution of spatial structures with some nontrivial discretized topology, such as a graph with suitable parameter vectors labeling its vertices. For example, the cytoskeleton of a single cell, such as the cortical microtubule network in a plant cell or the actin filaments in a synapse, comprises many interconnected polymers whose topology is naturally graph-like and dynamic. The same can be said for cells connected dynamically in a developing tissue...
September 2022: Front Syst Biol
https://read.qxmd.com/read/36697505/gray-matter-differences-associated-with-menopausal-hormone-therapy-in-menopausal-women-a-dartel-based-vbm-study
#37
JOURNAL ARTICLE
Tae-Hoon Kim, ByoungRyun Kim, Youe Ree Kim, Chang-Won Jeong, Young Hwan Lee
Menopausal hormone therapy (MHT) in women can reduce troublesome menopause symptoms and prevent cognitive decline. This cross-sectional study investigated the MHT-related effect on brain morphology and its association with sex hormones in menopausal women by using an optimized diffeomorphic anatomical registration through exponentiated Lie algebra (DARTEL)-based voxel-based morphometry (VBM) method. Twenty-one menopausal women without MHT (noMHT) and 20 menopausal women with MHT were included in this study...
January 25, 2023: Scientific Reports
https://read.qxmd.com/read/36554207/multisensor-estimation-fusion-on-statistical-manifold
#38
JOURNAL ARTICLE
Xiangbing Chen, Jie Zhou
In the paper, we characterize local estimates from multiple distributed sensors as posterior probability densities, which are assumed to belong to a common parametric family. Adopting the information-geometric viewpoint, we consider such family as a Riemannian manifold endowed with the Fisher metric, and then formulate the fused density as an informative barycenter through minimizing the sum of its geodesic distances to all local posterior densities. Under the assumption of multivariate elliptical distribution (MED), two fusion methods are developed by using the minimal Manhattan distance instead of the geodesic distance on the manifold of MEDs, which both have the same mean estimation fusion, but different covariance estimation fusions...
December 9, 2022: Entropy
https://read.qxmd.com/read/36475803/adaptive-optimal-control-of-entangled-qubits
#39
JOURNAL ARTICLE
David L Goodwin, Pranav Singh, Mohammadali Foroozandeh
Developing fast, robust, and accurate methods for optimal control of quantum systems comprising interacting particles is one of the most active areas of current science. Although a valuable repository of algorithms is available for numerical applications in quantum control, the high computational cost is somewhat overlooked. Here, we present a fast and accurate optimal control algorithm for systems of interacting qubits, QOALA (quantum optimal control by adaptive low-cost algorithm), which is predicted to offer [Formula: see text]( M 2 ) speedup for an M -qubit system, compared to the state-of-the-art exact methods, without compromising overall accuracy of the optimal solution...
December 9, 2022: Science Advances
https://read.qxmd.com/read/36466320/the-looijenga-lunts-verbitsky-algebra-and-verbitsky-s-theorem
#40
JOURNAL ARTICLE
Alessio Bottini
In these notes we review some basic facts about the LLV Lie algebra. It is a rational Lie algebra, introduced by Looijenga-Lunts and Verbitsky, acting on the rational cohomology of a compact Kähler manifold. We study its structure and describe one irreducible component of the rational cohomology in the case of a compact hyperkähler manifold.
2022: Milan J Math
keyword
keyword
159764
2
3
Fetch more papers »
Fetching more papers... Fetching...
Remove bar
Read by QxMD icon Read
×

Save your favorite articles in one place with a free QxMD account.

×

Search Tips

Use Boolean operators: AND/OR

diabetic AND foot
diabetes OR diabetic

Exclude a word using the 'minus' sign

Virchow -triad

Use Parentheses

water AND (cup OR glass)

Add an asterisk (*) at end of a word to include word stems

Neuro* will search for Neurology, Neuroscientist, Neurological, and so on

Use quotes to search for an exact phrase

"primary prevention of cancer"
(heart or cardiac or cardio*) AND arrest -"American Heart Association"

We want to hear from doctors like you!

Take a second to answer a survey question.