Aligning mixed manifolds

T Boucher, CJ Carey, S Mahadevan… - Proceedings of the AAAI …, 2015 - ojs.aaai.org
manifold learning algorithm, low rank alignment (LRA), which builds on the ideas of manifold
alignment and LRE to align … novel algorithm for manifold alignment that can align data sets …

Optimal image alignment with random projections of manifolds: algorithm and geometric analysis

E Kokiopoulou, D Kressner… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
… Image alignment consists of … the alignment problem as a manifold distance minimization
problem in the linear subspace defined by the measurements. The transformation manifold that …

Which models have perceptually-aligned gradients? an explanation via off-manifold robustness

S Srinivas, S Bordt, H Lakkaraju - Advances in neural …, 2023 - proceedings.neurips.cc
… well with perceptual alignment. Finally, based on the levels of on-and off-manifold robustness,
we identify three different regimes of robustness that affect both perceptual alignment and …

Three-dimensionally crossing manifold micro-mixer for fast mixing in a short channel length

TW Lim, Y Son, YJ Jeong, DY Yang, HJ Kong, KS Lee… - Lab on a Chip, 2011 - pubs.rsc.org
… that the mixing efficiency can be dramatically improved by designing a sequentially aligned
mixing structure incorporating H-CMM and a vertically crossing manifold micromixer (V-CMM…

[PDF][PDF] Heterogeneous domain adaptation using manifold alignment

C Wang, S Mahadevan - IJCAI proceedings-international joint conference …, 2011 - Citeseer
… We propose a manifold alignment based approach for heterogeneous … manifold alignment
approaches by making use of labels rather than correspondences to align the manifolds. This …

Learning nonlinear image manifolds by global alignment of local linear models

J Verbeek - IEEE transactions on pattern analysis and machine …, 2006 - ieeexplore.ieee.org
Aligning Local Linear Models Above, we defined a density model for data sampled from
nonlinear manifolds… a global parameterization of the manifold by aligning the local linear models…

Mixup as locally linear out-of-manifold regularization

H Guo, Y Mao, R Zhang - Proceedings of the AAAI conference on …, 2019 - ojs.aaai.org
… of MixUp, where the mixing policies are automatically learned from the data using an
additional network and objective function designed to avoid manifold intrusion. The proposed …

Exploiting manifold geometry in hyperspectral imagery

CM Bachmann, TL Ainsworth… - IEEE transactions on …, 2005 - ieeexplore.ieee.org
… than one of the standard linear mixing models. Additionally, we demonstrate … manifold is
then obtained by merging the tile manifolds. We discuss several methods of aligning manifolds

Progressive attentional manifold alignment for arbitrary style transfer

X Luo, Z Han, L Yang - Proceedings of the Asian …, 2022 - openaccess.thecvf.com
… attentional manifold alignment (PAMA) to align the content manifold to the style manifold.
The … (b) but renders with uniform and mixed style patterns. In the first row of Fig.8 (e), the blue …

Principal manifolds and nonlinear dimensionality reduction via tangent space alignment

Z Zhang, H Zha - SIAM journal on scientific computing, 2004 - SIAM
… We present a new algorithm for manifold … the manifold is learned by constructing an
approximation for the tangent space at each data point, and those tangent spaces are then aligned to …