Locally regular embedding. - Internet Archive Scholar

We conclude then that the L^p-isoperimetric profile is monotonous under regular embeddings, as well as coarse embeddings, between amenable unimodular locally compact compactly generated groups. ... As an example of these couplings; using ideas from Bader and Rosendal, we prove a "dynamical criteria" for the existence of regular embeddings between amenable locally compact compactly generated unimodular ... It is also not clear how to obtain an injective map out of a regular embedding between locally compact groups. ...

arXiv:2402.16787v2 fatcat:ittemzsdw5erto4wzuu2zbfuru

Open Access Multiple Versions

We address the problem of regularity of the embedding in standard Hölder spaces C a (M), a ∈ R. ... Local CR, i.e., holomorphic, embeddings of M are known to exist from the works of Kuranishi and Akahori. ... We iterate this process, generating a sequence of smooth embeddings, which converge in suitable norm to a CR embedding with the stated regularity. ...

doi:10.1007/s12220-010-9192-6 fatcat:wfll2ft3qfdhfbwko622x55r6y

Szczepanski

Local CR, i.e. holomorphic, embeddings of M are known to exist from the works of Kuranishi and Akahori. We address the problem of regularity of the embedding in standard Hölder spaces C^a(M), a∈R. ... If the structure of M is of class C^m, m∈Z, 4≤ m≤∞, we construct a local CR embedding near each point of M. This embedding is of class C^a, for every a, 0≤ a < m+(1/2). ... iterate this process, generating a sequence of smooth embeddings, which converge in suitable norm to a CR embedding with the stated regularity. ...

arXiv:0911.4550v1 fatcat:m5vy7aiwozbfhesfasz3igfcbq

Eventually, we provide a regularization method to guarantee such compatibility and preserving at the same time all the nice properties granted by G'. ... From a purely analytical point of view, the incompatibility of G' with G means that the normalized graph Ĝ can not be embedded into the normalized graph Ĝ'. ... As we observe from Figure 6 , the reason for which one moves to a non-local version of the random-walk is preserved also by the regularized version, since the decay is mostly unaffected from the regularization ...

arXiv:2101.00425v2 fatcat:i2p54nlsovbtpgu6ol3bpdchjy

Multiple Versions

We demonstrate that locally linear embedding (LLE) inherently admits some unwanted results when no regularization is used, even for cases in which regularization is not supposed to be needed in the original ... It is observed that all these bad results can be effectively prevented by using regularization. ... Locally linear embedding (LLE) [6] , due to its simplicity in idea as well as efficiency in implementation, is a popular manifold learning method, which has been studied a lot and has many variant and ...

arXiv:2108.12680v1 fatcat:eqhvhvyrirfd5evu3kwwcgg25y

We construct a polyhedral 2-manifold of genus 2 embedded in Euclidean 3-space, and hence oriented, built up of 12 planar (but nonconvex) heptagons, three meeting at each vertex, i.e., locally regular or ... If all faces are p-gons ( p ≥ 3) and all vertices are q-valent (q ≥ 3), we call the polyhedron locally regular or equivelar of type { p, q} [5, 8, 9] or simply equivelar. ... Basic definitions and facts A polyhedral 2-manifold or briefly, a polyhedron, is a compact 2-manifold embedded in Euclidean 3-space E 3 and hence oriented, which is built up of planar convex or nonconvex ...

doi:10.1016/j.ejc.2008.01.014 fatcat:k3u7rmdfsrb6ndfrvuhxkpny24

Szczepanski

We propose a method for BUg Localization with word embeddings and Network Regularization (BULNER). The preliminary results suggest that BULNER has better performance than two state-of-the-art methods. ... Bug localization (BL) from the bug report is the strategic activity of the software maintaining process. ... In this paper, we propose BULNER, an IR-based bug localization method, which stands for BUg Localization with word embeddings and Network Regularization. ...

arXiv:1908.09876v1 fatcat:vnf5wwysg5em3jas47gxuawkjm

Open Access

To model the relationship, we propose the Graph Regularized Embedding Network (GREN), which leverages the intra-image and inter-image information to locate diseases on chest X-ray images. ... In order for the deep embedding layers of the neural network to retain structural information (important in the localization task), we use the Hash coding and Hamming distance to compute the graphs, which ... in the embedding space. ...

arXiv:2107.06442v2 fatcat:nttdofjslvebpb6lu4ksklejqy

Open Access Multiple Versions

To verify this point, we introduce a simple yet effective regularization, i.e., Dynamic Weighted Decorrelation Regularization (DWDR), to explicitly encourage networks to learn independent embedding channels ... Cross-view geo-localization aims to spot images of the same location shot from two platforms, e.g., the drone platform and the satellite platform. ... We deploy the final visual embeddings with different dimensions in geo-localization to investigate the effect of embedding dimensions on retrieval accuracy. ...

arXiv:2211.05296v1 fatcat:oxgq6cv3bvdkrdou6yxvnykniu

In this paper, we proposed a new nonlinear dimensionality reduction algorithm called regularized Kernel Local Linear Embedding (rKLLE) for highly structured data. ... It is built on the original LLE by introducing kernel alignment type of constraint to effectively reduce the solution space and find out the embeddings reflecting the prior knowledge. ... Locally Linear Embedding (LLE) preserves the local linear relations in the input data which is encapsulated in a weight matrix W. ...

doi:10.1007/978-3-642-10439-8_25 fatcat:gf7dlal5lvcs5kfo2ji7ftg6oy

In this paper, we introduce the classic manifold learning method, the Local Linear Embedding (LLE), to learn the non-linear structure underlying the data and use the learned local geometry of manifold ... as a regularization for SSC and LRR, which results the proposed LLE-SSC and LLE-LRR clustering methods. ... The sparse manifold clustering and embedding method [8] showed that introducing the local manifold structure can enhance the clustering performance for the data with non-linear property. ...

doi:10.3390/app8112175 fatcat:tek2oxdomvfghdvapppxb53ww4

DOAJ

This paper introduces a novel semi-supervised tri-training classification algorithm based on regularized local discriminant embedding (RLDE) for hyperspectral imagery. ... In this algorithm, the RLDE method is used for optimal feature information extraction, to solve the problems of singular values and over-fitting, which are the main problems in the local discriminant embedding ... Table 1 . 1 Results of cooperative training classification based on the regularized local discriminant embedding (RLDE) local feature extraction method (%).Table 1. ...

doi:10.3390/rs11060654 fatcat:tk343dszrrfwbllaiclkxkl4re

DOAJ Szczepanski

Non-locally regularization results are used to compute final membership functions for the segmentation. ... After being normalized in interclass, the similarities are incorporated into a non-local means de-noising formula to regularize the segmentation in both spatial and temporal dimensions. ... The second drawback can be overcome by the non-locally regularization described in the following subsection. ...

doi:10.1016/j.jvcir.2016.03.027 fatcat:yotozg5sbbdtxlifpjiinwnxmu

In this context, the conformity of the strong/regularized and embedded/smeared discontinuity approaches are investigated, regarding the strategies dealing with the kinematics and statics. ... Accordingly, localized failure in solids can be approached by embedding/smearing a traction-based inelastic discontinuity (band) within an (equivalent) elastic matrix along a specific orientation. ... Embedded/smeared discontinuity approaches In the above strong and regularized discontinuity approaches, the traction continuity condition (2.1) 2 is enforced in weak form. ...

doi:10.1016/j.ijsolstr.2015.05.016 fatcat:s7druizpa5b5jd2no4nekbutoq

Since the term on the right is locally free, this locally splits, and thus locally Cx Y is a linear cone over Nx Y and the above embedding is a section. ... Hence by the previous lemma, this embedding is linear, i.e. p~x(0) <-> n~x(0) is a linear embedding. ... Lemma 1 . 1 The embedding of a point in a scheme is weakly linear if and only if the scheme is regular at the point.Proof. Let (A, m) be the local ring at the point. ...

doi:10.1090/s0002-9947-1993-1040263-6 fatcat:eol2pejornaxxedqppitawoc6y

Szczepanski

Isoperimetric Profiles and Regular Embeddings of locally compact groups [article]

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Regularity in the Local CR Embedding Problem

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Regularity in the local CR embedding problem [article]

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Compatibility, embedding and regularization of non-local random walks on graphs [article]

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Avoiding unwanted results in locally linear embedding: A new understanding of regularization [article]

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A locally regular heptagon–dodecahedron embedded in 3-space

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BULNER: BUg Localization with word embeddings and NEtwork Regularization [article]

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GREN: Graph-Regularized Embedding Network for Weakly-Supervised Disease Localization in X-ray Images [article]

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Learning Cross-view Geo-localization Embeddings via Dynamic Weighted Decorrelation Regularization [article]

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Regularized Kernel Local Linear Embedding on Dimensionality Reduction for Non-vectorial Data [chapter]

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Sparse and Low-Rank Subspace Data Clustering with Manifold Regularization Learned by Local Linear Embedding

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A Novel Tri-Training Technique for the Semi-Supervised Classification of Hyperspectral Images Based on Regularized Local Discriminant Embedding Feature Extraction

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Segmentation of longitudinal brain MR images using bias correction embedded fuzzy c-means with non-locally spatio-temporal regularization

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On the conformity of strong, regularized, embedded and smeared discontinuity approaches for the modeling of localized failure in solids

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Intersection theory of linear embeddings

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