Optimal Non-linear Models
نویسنده
چکیده
This paper is a survey about recent results on sparse representations and optimal models in different settings. Given a set of functions, we show that there exists an optimal collection of subspaces minimizing the sum of the square of the distances between each function and its closest subspace in the collection. Further, this collection of subspaces gives the best sparse representation for the given data, in a sense defined later, and provides an optimal model for sampling in a union of subspaces.
منابع مشابه
Flux Distribution in Bacillus subtilis: Inspection on Plurality of Optimal Solutions
Linear programming problems with alternate solutions are challenging due to the choice of multiple strategiesresulting in the same optimal value of the objective function. However, searching for these solutions is atedious task, especially when using mixed integer linear programming (MILP), as previously applied tometabolic models. Therefore, judgment on plurality of optimal m...
متن کاملApplication of Linear and Non-linear Programming Model to Assess the Sustainability of Water Resources in Agricultural Patterns
Water resources sustainability is one of the major issues in the agricultural sustainability. In this study sustainability of water resources has been investigated by use of linear and non-linear models in six models based on optimal utilization of water resources in the north parts farms of Iran because of incorrect use of agricultural water resources, from 2011 to 2012. Also “gross margin per...
متن کاملChaotic Test and Non-Linearity of Abnormal Stock Returns: Selecting an Optimal Chaos Model in Explaining Abnormal Stock Returns around the Release Date of Annual Financial Statements
For many investors, it is important to predict the future trend of abnormal stock returns. Thus, in this research, the abnormal stock returns of the listed companies in Tehran Stock Exchange were tested since 2008- 2017 using three hypotheses. The first and second hypotheses examined the non-linearity and non-randomness of the abnormal stock returns ′ trend around the release date of annual fin...
متن کاملNew Optimal Observer Design Based on State Prediction for a Class of Non-linear Systems Through Approximation
This paper deals with the optimal state observer of non-linear systems based on a new strategy. Despite the development of state prediction in linear systems, state prediction for non-linear systems is still challenging. In this paper, to obtain a future estimation of the system states, initially Taylor series expansion of states in their receding horizons was achieved to any specified order an...
متن کاملDetermining Comparative Advantages of Corn in Optimal Cultivation Pattern
The purpose of this study is to investigate comparative advantages of corn in comparison with other competitor crops. To do so, Linear Programming, to 2004-2005 data related to classic index (DRC) in Kermanshah province was applied. Results showed that corn has comparative advantages in all regions of Kermanshah province while in optimal cultivation pattern of 37.5 percentages of regions in exi...
متن کاملمساله پوشش هاب تک تخصیصی بر روی شبکه ستارهای؛ مدلبندی، خطیسازی و یافتن کران مناسب برای آن
The present study evaluates two problems of single allocation hub-covering problem with star structure including two problems of maximal p-hub covering and hub covering by considering the flow transfer costs. The star structure is as there is a central hub with definite location and other hubs are connected directly to the central hub. In the first problem, the goal is selection of p-hub locati...
متن کامل