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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fusion of Supervised Learning and Reinforcement Learning for Dynamic Treatment Recommendation
监督学习 强化学习 融合 动态治疗推荐
2023/5/5
Electronic health records (EHR) have provided a great opportunity to exploit personalized health data to optimize clinical decision making and achieve personalized treatment recommendation. In this ta...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Fusion of Supervised Learning and Reinforcement Learning for Dynamic Treatment Recommendation
监督学习 强化学习 融合 动态治疗推荐 电子健康记录
2023/5/6
Electronic health records (EHR) have provided a great opportunity to exploit personalized health data to optimize clinical decision making and achieve personalized treatment recommendation. In this ta...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deep image prior for inverse problems: acceleration and probabilistic treatment
反问题 深度图像 加速 概率处理
2023/5/10
Since its first proposal in 2018, deep image prior has emerged as a very powerful unsupervised deep learning technique for solving inverse problems. The approach has demonstrated very encouraging empi...
Two-Treatment Crossover Designs.
Statistical Inference for the Difference Between the Best Treatment Mean and a Control Mean
Statistical Inference Best Treatment Mean Control Mean
2015/3/20
Statistical Inference for the Difference Between the Best Treatment Mean and a Control Mean.
The importance of distinct modeling strategies for gene and gene-specific treatment effects in hierarchical models for microarray data
Diffierential expression EM algorithm hierarchical models random effects uncertainty
2012/11/23
When analyzing microarray data, hierarchical models are often used to share information across genes when estimating means and variances or identifying differential expression. Many methods utilize so...
A unified treatment of ODEs under Osgood and Sobolev type conditions
DiPerna–Lions theory Sobolev regularity Osgood condition regular Lagrangian flow transport equation
2011/9/5
Abstract: In this paper we prove the existence, uniqueness and regularity of the DiPerna--Lions flow generated by a vector field which is "almost everywhere Osgood continuous", following Crippa and de...
Bias terms of measurement error in treatment by expected estimating equations
Estimating equations Bias Measurement error
2010/11/1
Inference for the effect of treatment on an outcome often suffers from the unavailability of valid measurements of treatment. Due to this, systematic errors in measurements of treatment occur frequent...
Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension
Incompatible Initial Boundary Data
2010/11/24
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one,...
Numerical treatment of long-range Coulomb potential with Berggren bases
Numerical treatment long-range Coulomb potential Berggren bases
2010/11/15
The Schrodinger equation incorporating long-range Coulomb potential takes the form of a Fredholm equation whose kernel is singular on its diagonal when represented by a basis bearing a continuum of st...
Solutions of matrix NLS systems and their discretisations: A unified treatment
matrix NLS difference equations bidifferential graded algebra
2010/4/1
Using a bidifferential graded algebra approach to integrable partial differential or difference equations, a unified treatment of continuous, semi-discrete (Ablowitz-Ladik) and fully discrete matrix N...
Optimal control of treatment in a basic virus infection model
Optimal control basic virus infection model
2010/9/13
The aim of this work is the application of optimal control for the system of ordinary differential equations modeling the Hepatitis B Virus (HBV) infection. The optimal controls represent the efficien...
A Unified Treatment of Certain Subclasses of Prestarlike Functions
Analytic functions Prestarlike functions radii of starlikeness convexity and close-to-convexity Cauchy-Schwarz inequality
2008/7/3
A Unified Treatment of Certain Subclasses of Prestarlike Functions.
A Unified Treatment of Some Sharp Inequalities
Quadrature formula Sharp error bounds Generalization Numerical integration
2008/7/3
A generalization of some recent sharp inequalities by N. Ujević is established. Applications in numerical integration are also considered.
History, Generalizations And Unified Treatment Of Two Ostrowski's Inequalities
Ostrowski's inequalities Cauchy-Buniakowski-Schwarz inequality Gram's determinant Unitary vector space Superadditive function Interpolation
2008/7/1
In this paper we present a historical review of the investigation of two Ostrowski inequalities and describe several distinct streams for their generalizations. Also we point out some new methods to o...