Results 91 to 100 of about 1,227,664 (287)

Interior derivative estimates and Bernstein theorem for Hessian quotient equations [PDF]

, 2023
In this paper, we obtain the interior derivative estimates of solutions for elliptic and parabolic Hessian quotient equations. Then we establish the Bernstein theorem for parabolic Hessian quotient equations, that is, any parabolically convex solution $u=
Wang, Bo, Bao, Jiguang, Dai, Limei
core   +1 more source

Dynamics and Optimal Harvesting Control for a Stochastic One-Predator-Two-Prey Time Delay System with Jumps

Complexity, 2019
We consider a stochastic one-predator-two-prey harvesting model with time delays and Lévy jumps in this paper. Using the comparison theorem of stochastic differential equations and asymptotic approaches, sufficient conditions for persistence in mean and ...
Tingting Ma, Xinzhu Meng, Zhengbo Chang
doaj   +1 more source

Homophily‐adjusted social influence estimation

Canadian Journal of Statistics, EarlyView.
Abstract Homophily and social influence are two key concepts of social network analysis. Distinguishing between these phenomena is difficult, and approaches to disambiguate the two have been primarily limited to longitudinal data analyses. In this study, we provide sufficient conditions for valid estimation of social influence through cross‐sectional ...
Hanh T.D. Pham, Daniel K. Sewell
wiley   +1 more source

A quantitative result for the $k$-Hessian equation

In this paper, we study a symmetrization that preserves the mixed volume of the sublevel sets of a convex function, under which, a Pólya-Szeg\H o type inequality holds. We refine this symmetrization to obtain a quantitative improvement of the Pólya-Szeg\H o inequality for the $k$-Hessian integral, and, with similar arguments, we show a quantitative ...
Masiello A. L., Salerno F.
openaire   +3 more sources

Learning sparse mixture‐of‐experts generalized linear models in ultrahigh dimensions

Canadian Journal of Statistics, EarlyView.
Abstract Motivated by the challenges of heterogeneity and high dimensionality in the analysis of modern data, we investigate continuous regularization methods for learning sparse mixture‐of‐experts generalized linear models (MoE‐GLM). Although there are foundational results about regularized estimators in a broad class of regression models including ...
Pengqi Liu, Abbas Khalili
wiley   +1 more source

The Neumann Problem for Parabolic Hessian Quotient Equations [PDF]

In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the $k$-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian ...
Ma, Xi-Nan, Chen, Chuanqiang, Zhang, Dekai   +2 more
core   +1 more source

A viscosity approach to the Dirichlet problem for degenerate complex Hessian-type equations

, 2018
29 pagesInternational audienceA viscosity approach is introduced for the Dirichlet problem associated to complex Hessian type equations on domains in $\C^n$.
Dinew, Sławomir, Do, Hoang-Son, Tô, Tat Dat, Dinew, Slawomir   +3 more
core   +1 more source

extBatchMarking: An R package for hidden Markov models for extended batch data

Canadian Journal of Statistics, EarlyView.
Abstract We describe a new R package for extended batch‐mark methods. Extended batch marking is a valuable and efficient technique for estimating population sizes and survival probabilities of wild animals. It assigns the same identifier to a group of animals simultaneously, allowing researchers to track their survival over time.
Kehinde Olobatuyi, Simon Johns, Matthew R.P. Parker, Steve Hof, Laura L.E. Cowen   +4 more
wiley   +1 more source

A New Finite-Difference Method for Nonlinear Absolute Value Equations

Mathematics
In this paper, we propose a new finite-difference method for nonconvex absolute value equations. The nonsmooth unconstrained optimization problem equivalent to the absolute value equations is considered.
Peng Wang, Yujing Zhang, Detong Zhu
doaj   +1 more source

A Variational Approach to the Quaternionic Hessian Equation

The Journal of Geometric Analysis
In this paper, we introduce finite energy classes of quaternionic $m$-plurisubharmonic functions of Cegrell type and define the quaternionic $m$-Hessian operator on some Cegrell's classes. We use the variational approach to solve the quaternionic $m$-Hessian equation when the right-hand side is a positive Radon measure.
Amal, Hichame, Asserda, Saïd, Barloub, Mohamed   +2 more
openaire   +3 more sources