Localization of the brain neural generators that create Electroencephalographs (EEGs) has been an important problem in clinical, research and technological applications related to the brain. The active regions in the ...
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Localization of the brain neural generators that create Electroencephalographs (EEGs) has been an important problem in clinical, research and technological applications related to the brain. The active regions in the brain are modeled as equivalent current dipoles, and the positions and moments of these dipoles or brain sources are estimated. So far, the brain dipoles are assumed to be fixed or time-invariant. However, recent neurological studies are showing that brain sources are not static but vary (in terms of location and moment) depending on various internal and external stimuli. This paper presents a shift in the current paradigm of brain source localization by considering dynamic sources in the brain. We formulate the brain source estimation problem from EEG measurements as a (nonlinear) state-space model. We use the Particle Filter (PF), essentially a sequential Monte Carlo method, to track the trajectory of the moving dipoles in the brain. We further address the “curse of dimensionality,” issue of the PF by taking advantage of the structure of the EEG state-space model, and marginalizing out the linearly evolving states. A Kalman Filter is used to optimally estimate the linear elements, whereas the PF is used to track only the non-linear components. This technique reduces the dimension of the problem; thus exponentially reducing the computational cost. Our simulation results show that, where the PF fails, the Marginalized PF is able to successfully track two dipoles in the brain with only 500 particles.
A new technique is proposed to select and estimate the significant aerodynamic parameters of micro unmanned aerial systems from ight data to improve the dynamical qualities of an indirect adaptive ight control system....
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A new technique is proposed to select and estimate the significant aerodynamic parameters of micro unmanned aerial systems from ight data to improve the dynamical qualities of an indirect adaptive ight control system. The aerodynamic variables are estimated in the frequency domain using the angle of attack and sideslip air-ow angles which in turn are estimated using an extended Kalman filter. Parameter estimation and selection procedures of significant aerodynamic parameters are based on linear regression model structures with forward orthogonal least square (OLS) and error reduction ratio (ERR) methods. When combined, the methods can be applied to create an indirect adaptive ight control system. This new approach is verified by comparing the results with those obtained from conventional sensor data, including air ow angle measurements. Performance comparison of the system identification methods show that the proposed technique can obtain the same quality of ight performance as if the airow measurements were available. The new methods are demonstrated in simulation of a benchmark ight performance experiment on an Aerosonde UAV.
This paper gives a concise review of work on ensuring feasibility and stability within linear MPC during target changes. A summary of similarities and weaknesses of the various proposals in the literature is presented...
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This paper gives a concise review of work on ensuring feasibility and stability within linear MPC during target changes. A summary of similarities and weaknesses of the various proposals in the literature is presented and this forms a useful baseline for establishing where improvements can be made.
The landing accuracy of a Mars lander is severely affected by a wide range of disturbances at the powered descent stage. To address this problem, a composite guidance law is proposed in this paper. The composite guida...
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In industrial practice, making an efficient production planning for a multi-product multi-stage manufacturing network implies that various aspects of the uncertain environment have to be taken into account. In this pa...
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ISBN:
(纸本)9781467381840
In industrial practice, making an efficient production planning for a multi-product multi-stage manufacturing network implies that various aspects of the uncertain environment have to be taken into account. In this paper, we address the uncertain conditions originating from internal and external factors including production efficiency, penalty cost of backorders and safety stock deviations, raw material supply and market demand. A novel chance constrained programming model with stochastic objectives and constraints is developed for the multi-product multi-stage integrated production planning problem incorporating the uncertainties. Then the proposed stochastic model is converted into an equivalent crisp mixed integer linear programming (MILP) problem by treating the stochastic objectives and constraints using a direct and an indirect approach. An industrial case is used for implementing and validating the proposed approach. The result indicates that the approach is flexible and that the trade-off between minimizing the cost and controlling the risk is efficient.
We consider the problem of optimally scheduling the flexible electricity demand of a fleet of plug-in electric vehicles (PEVs). More specifically, we analyze the solutions of the following charging optimization proble...
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ISBN:
(纸本)9781479978878
We consider the problem of optimally scheduling the flexible electricity demand of a fleet of plug-in electric vehicles (PEVs). More specifically, we analyze the solutions of the following charging optimization problems: a) the welfare-optimal problem, where the overall system cost is minimized;b) the fleet-optimal problem, where the charging cost of the fleet as a whole is minimized by a central agent, that is the PEV aggregator;c) the selfish-optimal problem, where the noncooperative PEVs aim at minimizing their individual charging cost. For a homogenous PEV fleet and a simplified problem setup, we show that the solutions of the three different approaches correspond to different valley-filling results. A main insight is that, as the population of PEVs grows, the selfish-optimal solution converges to the welfare-optimal solution. On the other hand, we show that the centralized fleet-optimal solution of the PEV aggregation can be recovered via decentralized selfish-optimal solutions with respect to an appropriate price signal as the population size grows. Finally, we demonstrate our technical results on a realistic PEV fleet case study.
In this paper, a novel framework for reduced order modeling in reservoir engineering is introduced, where tensor decompositions and representations of flow profiles are used to characterize empirical features of flow ...
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This paper discusses a practical implementation for photogrammetry missions in an UAV setting. Further advances, which exploit geometrical properties of the problem are considered. In particular, a bi-level optimizati...
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This paper discusses a practical implementation for photogrammetry missions in an UAV setting. Further advances, which exploit geometrical properties of the problem are considered. In particular, a bi-level optimization procedure which minimizes the total path-length is discussed. Various constraints and limitations are taken into account.
We propose and test on real data a two-tier estimation strategy for inferring occupancy levels from measurements of CO_2 concentration and temperature levels. The first tier is a blind identification step, based eithe...
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ISBN:
(纸本)9781467371605
We propose and test on real data a two-tier estimation strategy for inferring occupancy levels from measurements of CO_2 concentration and temperature levels. The first tier is a blind identification step, based either on a frequentist Maximum Likelihood method, implemented using non-linear optimization, or on a Bayesian marginal likelihood method, implemented using a dedicated Expectation-Maximization algorithm. The second tier resolves the ambiguity of the unknown multiplicative factor, and returns the final estimate of the occupancy levels. The overall procedure addresses some practical issues of existing occupancy estimation strategies. More specifically, first it does not require the installation of special hardware, since it uses measurements that are typically available in many buildings. Second, it does not require apriori knowledge on the physical parameters of the building, since it performs system identification steps. Third, it does not require pilot data containing measured real occupancy patterns (i.e., physically counting people for some periods, a typically expensive and time consuming step), since the identification steps are blind.
In this paper we develop parallel random coordinate gradient descent methods for minimizing huge linearly constrained separable convex problems over networks. Since we have coupled constraints in the problem, we devis...
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ISBN:
(纸本)9781479978878
In this paper we develop parallel random coordinate gradient descent methods for minimizing huge linearly constrained separable convex problems over networks. Since we have coupled constraints in the problem, we devise a family of algorithms that updates in parallel τ ≥ 2 (block) components per iteration. Moreover, the algorithms are adequate for distributed and parallel computations and their complexity per iteration is cheaper than of the full gradient method when the number of nodes N in the network is huge. We prove that for these methods we obtain in expectation an ∈-accurate solution in at most O(N/τ∈) iterations and thus the convergence rate depends linearly on the number of (block) components to be updated. We also describe several applications that fit in our framework, in particular the convex feasibility problem. Numerically, we show that the parallel coordinate descent method with τ > 2 accelerates on its basic counterpart corresponding to τ = 2.
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