Given a large number of objective functions, the level of complexity increases in an optimization problem. Therefore, this study presents a multivariate application of the normal boundary intersection (NBI) method to reduce dimensionality in optimization problems of the LBM process. Such an approach ...
In the final part of the thesis, we consider a multi-market reservoir management problem. The eroding peak/off-peak spreads on European electricity spot markets imply reduced profitability for the hydropower producers and force them to participate in the balancing markets. This motivates us to ...
The intrinsic dimensionality is, in essence, a local characteristic of the distribution, as shown in Fig. 6-4. If we establish small local regions around X1, X2, X3, etc., the dimensionality within the local region must be close to 1 [19],[20]. Because of this, the intrinsic dimensio...
3.hard optimization problem。对于神经网络的训练也有很多需要注意的,因为神经网络经过了多层的非线性转换,不再是一个山谷状了,可能是凹凹凸凸的,这样就导致有可能你只是到达了某一个山谷而不是全局的最优。这个时候我们就要选择一个比较好的初始值了,如果我们选择的初始值恰好就是在全局最优的旁边,那就稳了。有一...
tensor networks have the ability to reduce the dimensionality and alleviate the curse of dimensionality in a number of applied areas, especially in large scale optimization problems and deep learning. We briefly review and provide tensor links between low-rank tensor network decompositions and deep neu...
Dimensionality reduction is a necessary process in most big data recognition frameworks that tackles the problem of learning and trainability of the model in the design. Essentially, dimensionality reduction is often seen as a drawback to most system architectures because it eliminates data which may ...
In contrast to the traditional LDA, which actually maximizes the average divergence among classes, MDM attempts to find a low-dimensional subspace that maximizes the minimal (worst-case) divergence among classes. This ``minimal" setting solves the problem caused by the ``average" setting of LDA ...
Optimization of t-SNE by Tuning Perplexity for Dimensionality Reduction in NLP Chapter© 2023 Explore related subjects Discover the latest articles, news and stories from top researchers in related subjects. Artificial Intelligence Introduction
1)curse of dimensionality维数灾 1.In the normal load dispatching for the generating unit,with dynamic program method,it is prone to cause the curse of dimensionality,which will make the power system fail to meet the demand of real time control or general optimization.常规的动态规划法优化水电站...
of gradient information [6]. In the context of surrogate optimization models, local surrogates are updated within an iterative framework, while global surrogates are fitted only once with the training set [7]. The benefit of reduced runtimes and computational efficiency allows surrogates to be ...