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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convexity, Uniqueness, and Stability of the Regular Shock Reflection-diffraction Problem
规则冲击 反射衍射问题 凸性 唯一性 稳定性
2023/4/17
We will talk about our recent results on the convexity, uniqueness, and stability of regular reflection solutions for the potential flow equation in a natural class of self-similar solutions. The appr...
The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
A Simple Condition for the Convexity of Optimal Control over Networks with Delays
Convexity Delays
2015/6/19
We consider the problem of multiple subsystems, each with its own controller, such that the dynamics of each subsystem may affect those of other subsystems with some propagation delays, and the contro...
Convexity of Optimal Control over Networks with Delays and Arbitrary Topology
Delays Arbitrary Topology
2015/6/19
We consider the design of optimal controllers for a networked system (or a spatio-temporal system), where the dynamics of each subsystem may affect those of other subsystems with some propagation dela...
Quadratic Invariance is Necessary and Sufficient for Convexity
Convexity Necessary and Sufficient
2015/6/19
In decentralized control problems, a standard approach is to specify the set of allowable decentralized controllers as a closed subspace of linear operators. This then induces a corresponding set of o...
In decentralized control problems, a standard approach is to specify the set of allowable decentralized controllers as a closed subspace of linear operators. This then induces a corresponding set of Y...
Adaptivity of averaged stochastic gradient descent to local strong convexity for logistic regression
Adaptivity averaged stochastic gradient descent local strong convexity logistic regression
2013/4/28
In this paper, we consider supervised learning problems such as logistic regression and study the stochastic gradient method with averaging, in the usual stochastic approximation setting where observa...
Interest Rate Risk of Bond Prices on Macedonian Stock Exchange - Empirical Test of the Duration, Modified Duration and Convexity and Bonds Valuation
Treasury Bonds risk-free valuation intrinsic value duration, convexity
2012/9/14
This article presents valuation of Treasury Bonds (T-Bonds) on Macedonian Stock Exchange (MSE) and empirical test of duration, modified duration and convexity of the T-bonds at MSE in order to determi...
Non-Convexity Of The Dimension Function For SierpiNski Pedal
Moran Equation SierpiNski Pedal
2012/8/10
We disprove the conjecture of the paper [5] on the Schur-convexity
of the dimension function for the family of Sierpi磏ski pedal triangles.
We also show that this function is not convex and the relat...
Local convexity properties of Apollonian and Seittenranta's metric balls
Apollonian distance Seittenranta’s distance metric ball local convexity
2012/4/17
We consider local convexity properties of the Apollonian and the Seittenranta's metric balls. The Apollonian metric balls are considered in the twice punctured space, convex and starlike domains. The ...
Radius of Close-to-convexity of Harmonic Functions
Coefficient inequality partial sums radius of univalence analytic univalent convex and starlike harmonic functions
2011/8/24
Abstract: Let ${\mathcal H}$ denote the class of all normalized complex-valued harmonic functions $f=h+\bar{g}$ in the unit disk ${\mathbb D}$, and let $K=H+\bar{G}$ denote the harmonic Koebe function...
Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem
Finite time blow-up solutions p-Laplacian generalized convexity regularly varying functions
2011/9/22
Abstract: In this paper we study a class of nonlinearities for which a nonlocal parabolic equation with Neumann-Robin boundary conditions, for $p$-Laplacian, has finite time blow-up solutions.
Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input
Convexity of Workload Autocorrelation Independent Increment Input Probability
2011/8/26
Abstract: We propose a method based on probabilistic arguments to study the convexity of the autocorrelation function of processes associated with a single server queue. To illustrate the power of the...
The 2-log-convexity of the Apéry Numbers
Apery numbers log-convexity 2-log-convexity infinite log-convexity
2014/6/3
We present an approach to proving the 2-log-convexity of sequences satisfying three-term recurrence relations. We show that the Apéry numbers, the Cohen-Rhin numbers, the Motzkin numbers, the Fine num...
Neyman-Pearson classification, convexity and stochastic constraints
binary classifi cation Neyman-Pearson paradigm anomaly detection stochastic constraint convexity empirical risk minimization chance constrained optimization
2011/3/25
Motivated by problems of anomaly detection, this paper implements the Neyman-Pearson paradigm to deal with asymmetric errors in binary classification with a convex loss. Given a finite collection of c...