Results 121 to 130 of about 197,054 (272)
On Differentiating Eigenvalues and Eigenvectors [PDF]
Econometric Theory, 1985 Let X0 be a square matrix (complex or otherwise) and u0 a (normalized) eigenvector associated with an eigenvalue λo of X0, so that the triple (X0, u0, λ0) satisfies the equations Xu = λu, . We investigate the conditions under which unique differentiable functions λ(X) and u(X) exist in a neighborhood of X0 satisfying λ(X0) = λO, u(X0) = u0, Xu = λu ...
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Advanced Intelligent Systems, EarlyView.Feature from recent image foundation models (DINOv2) are useful for vision tasks (segmentation, object localization) with little or no human input. Once upsampled, they can be used for weakly supervised micrograph segmentation, achieving strong results when compared to classical features (blurs, edge detection) across a range of material systems.
Ronan Docherty +2 more
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Three Hypergraph Eigenvector Centralities
SIAM Journal on Mathematics of Data Science, 2019 Eigenvector centrality is a standard network analysis tool for determining the importance of (or ranking of) entities in a connected system that is represented by a graph. However, many complex systems and datasets have natural multi-way interactions that are more faithfully modeled by a hypergraph.
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International Forum of Allergy &Rhinology, EarlyView.ABSTRACT Background Appropriate medical therapy (AMT) is first‐line treatment for patients with chronic rhinosinusitis (CRS). We evaluated inflammatory structure, treatment‐induced changes, and biomarker‐outcome associations in AMT‐managed patients. Methods Fifty‐one CRS patients were evaluated before and after AMT which included a combination of oral ...
Asher C. Park +9 more
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Asymptotic Inference for Eigenvectors
The Annals of Statistics, 1981 Abstract : Asymptotic procedures are given for testing certain hypotheses concerning eigenvectors and for constructing confidence regions for eigenvectors. These asymptotic procedures are derived under fairly general conditions on the estimates of the matrix whose eigenvectors are of interest. Applications of the general results to principal components
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The Anatomical Record, EarlyView.Abstract Muscle architecture is a major determinant of muscle performance and, in mammalian lineages, has been correlated with both feeding ecology and locomotor behaviors. Over the past decade, contrast‐enhanced micro‐CT (DiceCT) has emerged as an alternative to traditional dissection‐based measurement.
Aleksandra Ratkiewicz +5 more
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Patterns of spinal motion, kinematic spaces and the land‐to‐sea transition in carnivorans
The Anatomical Record, EarlyView.Using 3D reconstructions, we quantify intervertebral joint mobility to investigate how cervical, thoracic, and lumbar vertebral regions evolved distinct kinematic roles in pinnipeds. The findings reveal lineage‐specific adaptations for swimming and highlight the functional significance of vertebral joint flexibility in ecological transitions.
Juan Miguel Esteban +3 more
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Eigenvectors in bottleneck algebra
Linear Algebra and its Applications, 1992 The paper deals with a characterization of the eigenvectors in terms of the associated graph and with an alternative way of computing them. Upper and lower bounds for all eigenvectors are given. The approach is illustrated by several numerical examples.
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Asian Journal of Control, EarlyView.Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
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Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Preserving population diversity and providing knowledge, which are two core tasks in the dynamic multi‐objective optimisation (DMO), are challenging since the sampling space is time‐ and space‐varying. Therefore, the spatiotemporal property of evolutionary information needs to be considered in the DMO.
Qinqin Fan +3 more
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