Results 41 to 50 of about 1,148,156 (325)
Orthogonal Neighborhood Preserving Projections [PDF]
Fifth IEEE International Conference on Data Mining (ICDM'05), 2006 Orthogonal neighborhood preserving projections (ONPP) is a linear dimensionality reduction technique which attempts to preserve both the intrinsic neighborhood geometry of the data samples and the global geometry. The proposed technique constructs a weighted data graph where the weights are constructed in a data-driven fashion, similarly to locally ...
Effrosini Kokiopoulou, Yousef Saad
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A convergent nonlinear splitting via orthogonal projection [PDF]
, 1984 summary:We study the convergence of the iterations in a Hilbert space $V,x_{k+1}=W(P)x_k, W(P)z=w=T(Pw+(I-P)z)$, where $T$ maps $V$ into itself and $P$ is a linear projection operator.
Mandel, Jan
core +1 more source
Orthogonal projection regularization operators [PDF]
Numerical Algorithms, 2007 The authors propose Tikhonov regularization operators of the form \(L = I - W W^T\), with \(W^T W = I\) and easy to be computed. They successfully apply these constructions to iterative and singular value decomposition-based methods. Numerical examples are presented for first kind integral equations and image restoration problems.
MORIGI, SERENA +2 more
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Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex
Advances in Mathematical Physics, 2015 Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection.
Murat Savas +2 more
doaj +1 more source
Zero-shot Hashing with orthogonal projection for image retrieval
Pattern Recognition Letters, 2019 Hashing has been widely used in large-scale image retrieval. Supervised information such as semantic similarity and class label, and Convolutional Neural Network (CNN) has greatly improved the quality of hash codes and hash functions. However, due to the
Haofeng Zhang, Yang Long, Ling Shao
semanticscholar +1 more source
Orthogonal Projection and Total Least Squares [PDF]
Numerical Linear Algebra with Applications, 1993 AbstractOverdetermined linear systems often arise in applications such as signal processing and modern communication. When the overdetermined system of linear equations AX ≈︁ B has no solution, compatibility may be restored by an orthogonal projection method. The idea is to determine an orthogonal projection matrix P by some method M such that [Ã B̃] =
Ricardo D. Fierro, James R. Bunch
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
The Orthogonal Projection and the Riesz Representation Theorem [PDF]
Formalized Mathematics, 2015 Abstract In this article, the orthogonal projection and the Riesz representation theorem are mainly formalized. In the first section, we defined the norm of elements on real Hilbert spaces, and defined Mizar functor RUSp2RNSp, real normed spaces as real Hilbert spaces.
Keiko Narita +2 more
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Molecular Oncology, EarlyView.Circulating tumor cells (CTCs) and plasma cell‐free DNA (cfDNA) were analyzed to detect ESR1 mutations and methylation in patients with advanced breast cancer. CTC‐derived DNA showed higher sensitivity for mutation detection and revealed complementary genetic and epigenetic alterations, highlighting the added value of CTC analysis for understanding ...
Dimitra Stergiopoulou +12 more
wiley +1 more source