Rank of vectors

Lecture "Linear algebra  Chapter 4: Vector space" provides learners with the knowledge: Definition and examples, linear independence, rank of vectors, basic and dimension, subspaces. Invite you to refer to the disclosures.
42p doinhugiobay_14 28012016 38 4 Download

This paper uses Decision Tree, Knearest neighbor (KNN), Support Vector Machine (SVM), Naive Bayes, and Logistic Regression for data categorization to estimate credit ranking of bank customers in one of major banks in Middle East.
10p kelseynguyen 28052020 4 0 Download

The purpose of this paper is to carry out the abelianization program proposed by Atiyah [1] and Hitchin [9] for the geometric quantization of SU(2) WessZuminoWitten model. Let C be a Riemann surface of genus g. Let Mg be the moduli space of semistable rank 2 holomorphic vector bundles on C with trivial determinant. For a positive integer k, let Γ(Mg , Lk ) be the space of holomorphic sections of the kth tensor product of the determinant line bundle L on Mg . An element of Γ(Mg , Lk ) is called a rank 2 theta function...
50p noel_noel 17012013 47 6 Download

This paper should be regarded as a sequel to [7]. There it was shown that the geometric Langlands conjecture for GLn follows from a certain vanishing conjecture. The goal of the present paper is to prove this vanishing conjecture. Let X be a smooth projective curve over a ground ﬁeld k. Let E be an mdimensional local system on X, and let Bunm be the moduli stack of rank m vector bundles on X.
67p tuanloccuoi 04012013 33 5 Download

In the ﬁrst three parts of this series, we considered quadratic, cubic and quartic rings (i.e., rings free of ranks 2, 3, and 4 over Z) respectively, and found that various algebraic structures involving these rings could be completely parametrized by the integer orbits of an appropriate group representation on a vector space. These orbit results are summarized in Table 1.
43p dontetvui 17012013 35 5 Download

We present a syntactically enriched vector model that supports the computation of contextualized semantic representations in a quasi compositional fashion. It employs a systematic combination of ﬁrst and secondorder context vectors. We apply our model to two different tasks and show that (i) it substantially outperforms previous work on a paraphrase ranking task, and (ii) achieves promising results on a wordsense similarity task; to our knowledge, it is the ﬁrst time that an unsupervised method has been applied to this task. ...
10p hongdo_1 12042013 42 2 Download

Correct stress placement is important in texttospeech systems, in terms of both the overall accuracy and the naturalness of pronunciation. In this paper, we formulate stress assignment as a sequence prediction problem. We represent words as sequences of substrings, and use the substrings as features in a Support Vector Machine (SVM) ranker, which is trained to rank possible stress patterns. The ranking approach facilitates inclusion of arbitrary features over both the input sequence and output stress pattern. ...
9p hongphan_1 14042013 34 2 Download

In this paper, we propose a threephase multiattribute ranking approach having as outcomes of the modeling phase what we refer to as net superiority and inferiority indexes. These are defined as bounded differences between the classical superiority and inferiority indexes.
12p tohitohi 22052020 4 0 Download

In order to treat highdimensional problems, one has to find datasparse representations. Starting with a sixdimensional problem, we first introduce the lowrank approximation of matrices. One purpose is the reduction of memory requirements, another advantage is that now vector operations instead of matrix operations can be applied.
24p viryucha2711 24042019 11 0 Download

In this paper, we introduce the indirect association measures of Linking Term Association (LTA), Minimum Weight Association (MWA), and Shared B to C Set Association (SBC), and compare them to Linking Set Association (LSA), concept embeddings vector cosine, Linking Term Count (LTC), and direct cooccurrence vector cosine.
19p vicolorado2711 23102020 2 0 Download

It is important to predict the quality of a protein structural model before its native structure is known. The method that can predict the absolute local quality of individual residues in a single protein model is rare, yet particularly needed for using, ranking and refining protein models.
8p vikentucky2711 26112020 6 0 Download

Recursive LeastSquares Adaptive Filters Array Algorithms Elementary Circular Rotations • Elementary Hyperbolic Rotations • SquareRootFree and Householder Transformations • A Numerical Example Geometric Interpretation • Statistical Interpretation Geometric Interpretation • Statistical Interpretation Reducing to the Regularized Form • Time Updates Estimation Errors and the Conversion Factor • Update of the Minimum Cost Motivation • A Very Useful Lemma • The Inverse QR Algorithm • The QR Algorithm The Prewindowed Case • LowRank Property • A Fast Array Algorithm • The Fast Transversal Filte...
40p longmontran 18012010 59 6 Download

We study the impact of syntactic and shallow semantic information in automatic classiﬁcation of questions and answers and answer reranking. We deﬁne (a) new tree structures based on shallow semantics encoded in Predicate Argument Structures (PASs) and (b) new kernel functions to exploit the representational power of such structures with Support Vector Machines. Our experiments suggest that syntactic information helps tasks such as question/answer classiﬁcation and that shallow semantics gives remarkable contribution when a reliable set of PASs can be extracted, e.g. from answers. ...
8p hongvang_1 16042013 23 3 Download

Statistical ranking methods based on centroid vector (profile) extracted from external knowledge have become widely adopted in the top definitional QA systems in TREC 2003 and 2004. In these approaches, terms in the centroid vector are treated as a bag of words based on the independent assumption. To relax this assumption, this paper proposes a novel language modelbased answer reranking method to improve the existing bagofwords model approach by considering the dependence of the words in the centroid vector. ...
8p hongvang_1 16042013 26 1 Download