Deep latent variable models learn condensed representations of data that, hopefully, reflect the inner workings of the studied phenomena. Unfortunately, these latent representations are not statistically identifiable,...
We provide conditions under which we prove for measure-valued transport equations with nonlinear reaction term in the space of finite signed Radon measures, that positivity is preserved, as well as absolute continuity...
详细信息
We extracted four key metrics from the "Wimbledon_featured_***" dataset: scoring variance, cumulative winning serves, unforced errors, and physical *** first assigned reasonable weights to these four indicat...
详细信息
ISBN:
(纸本)9798400712647
We extracted four key metrics from the "Wimbledon_featured_***" dataset: scoring variance, cumulative winning serves, unforced errors, and physical *** first assigned reasonable weights to these four indicators through AHP-CRITIC, and then summed them up to obtain a momentum calculation model, which was used to calculate the momentum value of each scoring point. Momentum magnitudes of athletes and opponents were then compared, setting fluctuations as binary variables (“0” for defense and “1” for offense). Streaks were quantified using differences in scoring data. The chi-square test was then used to confirm this significant relationship between streaks and momentum fluctuations (p<0.05). The prediction model we developed used the scoring data as the input variable and the magnitude of momentum as the output variable. We first compared the accuracy of the four models, neural network, Markov chain and GBDT, and found that GBDT has 99.8% accuracy and neural network has only 69.9% accuracy, so we chose GBDT as the prediction *** model reflects the cumulative score and service opportunity are important indicators. When our model is used for the dataset “2023-wimbledon-1701”, the accuracy of the model is very high. The sensitivity analysis shows that the model has 68.6% accuracy after excluding key scoring data. A women's tennis tournament data is applied to our model with 95.4% accuracy, which shows the strong generalization ability of our model.
In this work, we investigate the use of Besov priors in the context of Bayesian inverse problems. The solution to Bayesian inverse problems is the posterior distribution which naturally enables us to interpret the unc...
In this work, we investigate the use of Besov priors in the context of Bayesian inverse problems. The solution to Bayesian inverse problems is the posterior distribution which naturally enables us to interpret the uncertainties. Besov priors are discretization invariant and can promote sparsity in terms of wavelet coefficients. We propose the randomize-then-optimize method to draw samples from the posterior distribution with Besov priors under a general parameter setting and estimate the modes of the posterior distribution. The performance of the proposed method is studied through numerical experiments of a 1D inpainting problem, a 1D deconvolution problem, and a 2D computed tomography problem. Further, we discuss the influence of the choice of the Besov parameters and the wavelet basis in detail, and we compare the proposed method with the state-of-the-art methods. The numerical results suggest that the proposed method is an effective tool for sampling the posterior distribution equipped with general Besov priors.
We investigated the impact of f(R,L_(m),T)gravity on the internal structure of compact stars,expecting this theory to manifest prominently in the high-density cores of such *** considered the algebraic function,f(R,L_...
详细信息
We investigated the impact of f(R,L_(m),T)gravity on the internal structure of compact stars,expecting this theory to manifest prominently in the high-density cores of such *** considered the algebraic function,f(R,L_(m),T)=R+αTL_(m),whereαrepresents the matter-geometry coupling *** specifically chose the matter Lagrangian density L_(m)=-ρto explore compact stars with anisotropic *** this end,we employed the MIT bag model as an equation of ***,we numerically solved the hydrostatic equilibrium equations to obtain mass-radius relations for quark stars(QSs),examining static stability criteria,adiabatic index,and speed of ***,we used recent astrophysical data to constrain the coupling parameterα,which may lead to either larger or smaller masses for QSs,compared to their counterparts in general relativity.
For any arc-weighted oriented graph D = (V (D), A(D), w), we write fasw(D) to denote the minimum weight of a feedback arc set in D. In this paper, we consider upper bounds on fasw(D) for arc-weight oriented graphs D w...
详细信息
A Z2×Z2-graded Lie algebra g is a Z2×Z2-graded algebra g with a bracket [[·,·]] that satisfies certain graded versions of the symmetry and Jacobi identity. In particular, despite the common termino...
详细信息
Accurate fall detection for orthopedic walker users is essential for timely medical intervention and enhancing safety for elderly and mobility-impaired individuals. This paper introduces a new method using a bidirecti...
详细信息
Sensor-based human activity recognition (HAR) is a widely explored research area focused on identifying human behaviors by analyzing sensor-generated data, particularly one-dimensional time series signals. Such HAR sy...
详细信息
This study addresses the deficiencies in the assumptions of the results in Chen and Yang, 2017 [1] due to the lack of uniformity. We first show the missing hypothesis by presenting a counterexample. Then we prove why ...
详细信息
暂无评论