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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Monotonicity of the second Neumann eigenfunction in symmetry domain
对称域 第二个 诺依曼特征函数 单调性
2023/4/18
In 1974, Jeffrey Rauch proposed the hot spot conjecture for the second eigenfunctions of the Neumann eigenvalue problems. We will recall some of its development and related studies in recent years. We...
On Non-Monotonicity of the Success Probability in Linear Cryptanalysis
Linear cryptanalysis success probability non-monotonicity
2018/5/28
Like any other cryptanalytic attack, the success rate of a linear attack is expected to improve as more data becomes available. Bogdanov and Tischhauser (FSE 2013) made the rather surprising claim tha...
Nonparametric and Semiparametric Regressions Subject to Monotonicity Constraints: Estimation and Forecasting
Nonlinearity Nonparametric regression Semiparametric regression Local mono- tonicity Bagging
2016/1/25
This paper considers nonparametric and semiparametric regression models subject to monotonicity constraint. We use bagging as an alternative approach to Hall and Huang (2001). Asymptotic properties of...
Nonparametric and Semiparametric Regressions Subject to Monotonicity Constraints: Estimation and Forecasting
Nonlinearity Nonparametric regression Semiparametric regression Local mono- tonicity Bagging
2016/1/20
This paper considers nonparametric and semiparametric regression models subject to monotonicity constraint. We use bagging as an alternative approach to Hall and Huang(2001). Asymptotic properties of ...
Monotonicity and restart in fast gradient methods
flat gradient algorithm oscillation values
2015/8/7
Fast gradient methods are known to be non-monotone algorithms, and oscillations typically occur around the solution. To avoid this behavior, we propose in this paper a fast gradient method with restar...
Scale-Based Monotonicity Analysis in Qualitative Modelling with Flat Segments
Piecewise Quasi-Monotone Functions Model-Based Diagnostic Qualitative Model Abstraction
2015/8/3
Qualitative models are often more suitable than classical quantitative models in tasks such as Model-based Diagnosis (MBD), explaining system behavior, and designing novel devices from first principle...
Monotonicity and Restart in Fast Gradient Methods
Monotonicity Restart Fast Gradient Methods
2015/7/9
Fast gradient methods are known to be non-monotone algorithms, and oscillations typically occur around the solution. To avoid this behavior, we propose in this paper a fast gradient method with restar...
Simulation-based Response Surface Estimation in the Presence of Monotonicity
Simulation-based Response Surface Estimation Presence Monotonicity
2015/7/6
In many stochastic models, it is known that the response surface corresponding to a particular performance measure is monotone in the underlying parameter. For example, the steady-state mean waiting t...
Monotonicity preserving multigrid time stepping schemes for conservation laws
Monotonicity preserving multigrid stepping schemes conservation laws
2015/7/2
In this paper, we propose monotonicity preserving and total variation diminishing (TVD) mul tigrid methods for solving scalar conservation laws. We generalize the upwind-biased residual restriction an...
Adaptive Bayes test for monotonicity
Bayesian Nonparametric Nonparametric regression Nonparamet-ric hypothesis testing Asymptotic properties
2013/4/28
We study the asymptotic behaviour of a Bayesian nonparametric test of qualitative hypotheses. More precisely, we focus on the problem of testing monotonicity of a regression function. Even if some res...
Testing equality of functions under monotonicity constraints
Testing equality of functions monotonicity constraints
2012/9/19
We consider the problem of testing equality of functionsf j: [0,1] →Rfor j =1,2,...,J the basis ofJindependent samples from possibly different distributions under the assumption that the functions are...
Monotonicity in the Sample Size of the Length of Classical Confidence Intervals
Gamma function Location and scale parameters Stochastic monotonicity
2012/3/1
It is proved that the average length of standard confidence intervals for parameters of gamma and normal distributions monotonically decrease with the sample size. The proofs are based on fine propert...
Counterexamples to a Monotonicity Conjecture for the Threshold Pebbling Number
combinatorics probability theory graph theory graph pebbling pebbling number pebbling threshold
2011/9/20
Abstract: Graph pebbling considers the problem of transforming configurations of discrete pebbles to certain target configurations on the vertices of a graph, using the so-called pebbling move. This p...
Almgren-type monotonicity methods for the classification of behavior at corners of solutions to semilinear elliptic equations
Almgren monotonicity formula semilinear elliptic equations conical boundary points
2011/9/19
Abstract: A monotonicity approach to the study of the asymptotic behavior near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed. The presence...
Existence of Minimizers of a class of multi-constrained variationnal problems in the absence of compactness, symmetry and monotonicity
Minimizers multi-constrained variationnal problems absence of compactness symmetry and monotonicity
2011/8/23
Abstract: We prove the existence of minimizers of a class of multi-constrained variational problems in which the non linearity involved does not sat- isfy compactness, monotonicity, neither symmetry p...