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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convex integration and non-uniqueness of weak solutions for viscous fluids
粘性流体弱解 凸积分 非唯一性
2023/4/23
In this talk, I will discuss the method of convex integration and its applications on non-uniqueness of weak solutions to the hyper-viscous incompressible Navier-Stokes equations as well as the hypo-v...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stochastic Navier-Stokes equations via convex integration
凸积分 随机 纳维-斯托克斯方程
2023/5/8
In this talk I will talk about our recent work on the three dimensional stochastic Navier-Stokes equations via convex integration method. First we establish non-uniqueness in law, existence and non-un...
NEAREST CONVEX HULL CLASSIFIERS FOR REMOTE SENSING CLASSIFICATION
Pattern recognition Classification Image understanding Accuracy analysis Land cover
2015/12/31
This paper introduces a new approach, nearest convex hull (NCH), for remote sensing classification. NCH is an intuitive classification method which labels the test point as the training class whose co...
On achieving reduced error propagation sensitivity in DFE design via convex optimization
Digital TV receiver error rate transmission
2015/8/11
Decision Feedback Equalization (DFE) is expected in digital TV receivers and other high error rate environments. Error propagation usually occurs in infrequent bursts. It is argued here that the minim...
QoS and fairness constrained convex optimization of resource allocation for wireless cellular and ad hoc networks
Wireless cellular network distribution network resources optimization
2015/8/11
For wireless cellular and ad hoc networks with QoS constraints, we propose a suite of problem formulations that allocate network resources to optimize SIR, maximize throughput, and minimize delay. The...
Advances in convex optimization: Interior-point methods, cone programming, and applications
Convex optimization linear programming nonlinear convex programming program robust
2015/8/11
In this talk I will give an overview of some major developments in convex optimization that have emerged over the last ten years or so. The basic idea is that convex problems are fundamentally tractab...
Tractable fitting with convex polynomials via sum-of-squares
Set data the sum of squares polynomial convex piecewise polynomial piecewise polynomial set
2015/8/10
We consider the problem of fitting given data(u1, y1),...,(um, ym) where ui ∈ Rn and yi ∈ R with a convex polynomial f. A technique to solve this problem using sum of squares polynomials is pres...
TEMPORAL TOPOLOGICAL RELATIONSHIPS OF CONVEX SPACES IN SPACE SYNTAX THEORY
Space Syntax theory GI Science GI theory Category theory Convex Space Graph Topology
2015/8/10
GI science development has to be served by an effective GI theory. Development of GI theory requires clear characterisation of GI domain to demonstrate real world effectively and also provide a framew...
Temperature-aware processor frequency assignment for MPSoCs using convex optimization
Temperature-aware thermal MPSoCs convex optimization
2015/8/10
The increasing processing capability of Multi-Processor Systems-on-Chips (MPSoCs) is leading to an increase in chip power dissipation, which in turn leads to significant increase in chip temperature. ...
Temperature control of high-performance multi-core platforms using convex optimization
Thermal-aware design temperature control dynamic frequency scaling static and dynamic optimization
2015/8/10
With technology advances, the number of cores integrated on a chip and their speed of operation is increasing. This, in turn is leading to a significant increase in chip temperature. Temperature gradi...
Compensation of multimode fiber dispersion using adaptive optics via convex optimization
Interference between the optimal technology multimode fiber optimize the adaptive optics system spatial light modulator impulse response
2015/8/10
We propose a provably optimal technique for minimizing inter-symbol interference (ISI) in multimode fiber (MMF) systems using adaptive optics via convex optimization. We use a spatial light modulator ...
We consider the problem of choosing a set of k sensor measurements, from a set of m possible or potential sensor measurements, that minimizes the error in estimating some parameters. Solving this prob...
Automatic code generation for real-time convex optimization
Convex optimization embedded systems signal processing automatic control data
2015/8/7
This chapter concerns the use of convex optimization in real-time embedded systems, in areas such as signal processing, automatic control, real-time estimation, real-time resource allocation and decis...
Real-time convex optimization in signal processing
Convex optimization signal processing coefficient of algorithm filtering array design
2015/8/7
Convex optimization has been used in signal processing for a long time, to choose coefficients for use in fast (linear) algorithms, such as in filter or array design; more recently, it has been used t...
Design of affine controllers via convex optimization
Discrete time-varying linear dynamic system noise linear noise causal controller
2015/8/7
We consider a discrete-time time-varying linear dynamical system, perturbed by process noise, with linear noise corrupted measurements, over a finite horizon. We address the problem of designing a gen...