Select a subset of columns/rows of a matrix so that they represent the matrix well.Formulated as Column Subset Selection Problem and Column–Row Subset Selection Problem.Unique Games Conjecture implies that there is no PTAS.First complexity theoretic result of this kind for these problems....
In this paper, we consider the problem of column subset selection. We present a novel analysis of the spectral norm reconstruction for a simple randomized algorithm and establish a new bound that depends explicitly on the sampling probabilities. The sampling dependent error bound (i) allows us to...
column subset selection 列子集选择(Column Subset Selection,CSS)是一种数据预处理技术,用于选择最有用的特征子集来提高机器学习模型的性能。 在数据挖掘和机器学习任务中,特征的选择是重要的一步。选择正确的特征可以减少计算成本,提高模型的性能和泛化能力。CSS的目标是找到一个最小的特征子集,该子集可以提供与原始...
. Many of these algorithms are linear time columns subset selection algorithms, returning a subset of poly(klogn) columns whose cost is no more than a poly(k) factor larger than the cost of the best rank-k matrix. The above error measures are special cases of the following general ...
column subset selection problem which is con-cerned with the selection of a few columns from a source matrix A that best ap-proximate the span of a target matrix B. The paper then proposes a fast greedyalgorithm for solving this problem and draws connections to different problemsthat can be...
Theselectionparameter is implemented in the parent_GroupByobject, which sets the internalself._selectionattribute to thekeyhere This is where I'm lost. How does this actually slice the object and only return a subset of it? Any help here would be greatly appreciated. Thanks. ...
07 Case Study II: Vehicle Routing Problem with Time Windows 这是大家的老熟客了,就不过多介绍了。直接看对比的结果: The last column corresponds to the time reduction when comparing GNN-S with NO-S. One can see that the column selection with the GNN model gives positive results, yielding avera...
This code is submitted for the purpose of reproducing the experimental results in the paper "Fair column subset selection". The code is written in Python 3.6. The Authors are not responsible for any errors that might occur in the code, if used for any other purpose than reproducing the resul...
An Improved Approximation Algorithm for the Column Subset Selection Problem We consider the problem of selecting the best subset of exactly $k$ columns from an $m imes n$ matrix $A$. We present and analyze a novel two-stage algorit... C Boutsidis,MW Mahoney,P Drineas - John Wiley & So...
: A subset of the columns is selected randomly. The number of columns selected is on average the same as with the GNN selection 对比的结果如下,其中The time reduction column compares the GNN-S to the NO-S algorithm.相比平均减少26%的时间。