The method of reduction in convex programming - WOLKOWICZ - 1979 () Citation Context ... Hermitian matrix H = Ik -- OUU', (2)54 JOTA: VOL. 47, NO. 1, SEPTEMBER 1985 where Ik is the k 脳 k identity matrix, 0 = 2/u'u, and the superscript t denotes transpose. Then, A'A =...
Regarding sentence-pair regression tasks, to overcome the massive computational overhead caused by the quadratic dependence on the input size of the attention mechanism in transformers models [5,9], the use of siamese architectures is a very effective method for efficiently deriving semantically meaning...
Second, we apply matrix reduction to the problem of estimating a covariance matrix of stock returns, used in financial portfolio optimization problem. We summarize all the previously proposed estimation methods in a common framework and present a new and effective Tikhonov method. Third, we present ...
where \(Z = \sigma (Wh)\) arises as an output of a fully connected layer with the weight matrix W, and \(\sigma (x)=\max (0, x)\) is the rectified linear unit. Deep-clustering embedding Motivated by Yang et al.36, we use a two-stage method. The first stage is to pre-trai...
Operation \({\mathscr{C}}\) sets a one-dimensional discrete cosine transform99 in the reduction method, thus a matrix G is defined as a generator matrix to evaluate the output coefficients of \({\mathscr{C}}\), see later (45). The definition of \({\mathscr{C}}\) (see later in ...
In this article, a method to preserve stability in parametric model reduction by matrix interpolation is presented. Based on the matrix measure approach, sufficient conditions on the original system matrices are derived. Once they are fulfilled, the stability of each of the reduced models is guarant...
Dimensionality reduction methods capture variability in a limited number of random variables to facilitate 2- or 3D-visualization of datasets with tens to thousands of dimensions. This approach is recognizable in the commonly used method of principal component analysis (PCA), which uses linear combinati...
We show the underlying chemical reactions, pH-neutralization processes and phase transformations during this surprisingly simple and fast reduction method. The approach establishes a sustainable toxic-waste treatment from aluminium production through using red mud as feedstock to mitigate greenhouse gas ...
The object passed into the input json parameter often comes from a response to a query operation in the REST API or a toJSON() method from another ArcGIS product. See the Using fromJSON() topic in the Guide for details and examples of when and how to use this function. Parameter...
(TR) have been applied to compress DNNs and shown considerable compression effectiveness. In this work, we introduce the hierarchical Tucker (HT), a classical but rarely-used tensor decomposition method, to investigate its capability in neural network compression. We convert the weight matrices and ...