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AlignMixup: Improving Representations By Interpolating Aligned Features [article]

Shashanka Venkataramanan, Ewa Kijak, Laurent Amsaleg, Yannis Avrithis
2022 arXiv   pre-print
In this work, we revisit mixup from the interpolation perspective and introduce AlignMix, where we geometrically align two images in the feature space.  ...  [20] eliminate "manifold intrusion"-mixed data con-flicting with true data.  ...  For (4) and (6) , we define Mix λ in (3) as standard mixup mix λ (2), like input [63] and manifold mixup [52] , respectively; while for (5), we define Mix λ as discussed in subsection 3.  ... 
arXiv:2103.15375v2 fatcat:mm7r4hqvdfbjdmcpjjdla2z3ym

Exploiting manifold geometry in hyperspectral imagery

C.M. Bachmann, T.L. Ainsworth, R.A. Fusina
2005 IEEE Transactions on Geoscience and Remote Sensing  
The manifolds derived from the individual tiles are then aligned and stitched together to recomplete the scene. Several alignment methods are discussed.  ...  than one of the standard linear mixing models.  ...  Fig. 6 . 6 Automated alignment of manifold coordinates.  ... 
doi:10.1109/tgrs.2004.842292 fatcat:mqhoprk7dffm7daplzymyymrzm

Experimental Measurements of Stretching Fields in Fluid Mixing

Greg A. Voth, G. Haller, J. P. Gollub
2002 Physical Review Letters  
Contours or level sets of a passive impurity field are found to be aligned parallel to the lines of large compression (unstable manifolds) at each instant.  ...  These quantities, previously available only numerically, attain local maxima along lines coinciding with the stable and unstable manifolds, thus revealing the dynamical structures that control mixing.  ...  Several authors have noted the way a passive scalar pattern is aligned with calculated unstable manifolds of the flow [3, 5, 12, 13] .  ... 
doi:10.1103/physrevlett.88.254501 pmid:12097088 fatcat:t2us7wduqnha7b25qeo5v734yq

Page 6397 of Mathematical Reviews Vol. , Issue 97J [page]

1997 Mathematical Reviews  
This paper represents an ample exposition on the use of invariant manifolds as a geometric template for the study of transport, stretching and mixing of a fluid under chaotic advection.  ...  (English summary) Chaos applied to fluid mixing, 5-124, Pergamon, Oxford, 1995.  ... 

Fabrication and Testing of Gas Filled Targets for Large Scale Plasma Experiments on Nova1

Gary F. Stone, Craig J. Rivers, Marita R. Spragge, Russell J. Wallace
1995 Fusion Technology  
Gas mixing manifold and gas analysis A manifold was designed to permit gasses to be mixed into a sample bottle for later use in filling the targets.  ...  The original gas mixing manifold was used to both mix the gas and fill the targets. A flow through filling method was initially employed.  ... 
doi:10.13182/fst95-a30419 fatcat:6mh53x5nmjeknap45yj6yhflnq

Affective interaction based on person-independent facial expression space

Hao Wang, Kongqiao Wang
2008 Neurocomputing  
subjects and different intensities of facial expressions on one generalized expression manifold.  ...  This paper proposes a Person-Independent Facial Expression Space (PIFES) to analyze and synthesize facial expressions based on Supervised Locality Preserving Projections (SLPP), which aligns different  ...  The 3-D visualization of the aligned manifold of 3 subjects is shown in Figure 6 .  ... 
doi:10.1016/j.neucom.2007.10.022 fatcat:ttbjytrhd5g5xpldgabxy3dily

Instantiated mixed effects modeling of Alzheimer's disease markers

R. Guerrero, A. Schmidt-Richberg, C. Ledig, T. Tong, R. Wolz, D. Rueckert
2016 NeuroImage  
of the manifold coordinates.  ...  [22] proposed a generative statistical (nonlinear mixed-effects) model for longitudinal data, described in a univariate Riemannian manifold setting, to estimate an average disease progression model,  ... 
doi:10.1016/j.neuroimage.2016.06.049 pmid:27381077 fatcat:tped4mrnqnahxbbjmwq2mywvla

Excitation of high angular momentum Rydberg states

W A Molander, C R Stroud, J A Yeazell
1986 Journal of Physics B Atomic and Molecular Physics  
We describe in detail the excitation of the aligned-circular-orbit states.  ...  It is shown that in excess of 90% of the excited state population can be put into the aligned-circular-orbit state. t Present address: Lawrence  ...  The percentage of the population reaching the aligned-circular-orbit state remains high, in excess of 90% for reasonable experimental conditions.  ... 
doi:10.1088/0022-3700/19/12/003 fatcat:ulil5wohyrdylo4fjlkfqpzuri

K"ahler Potential for Global Symmetry Breaking in Supersymmetric Theories [article]

Muneto Nitta
1999 arXiv   pre-print
The target space of nonlinear sigma models with a linear model origin is a G^C-orbit, which is a non-compact non-homogeneous K"ahler manifold.  ...  We show that, if and only if the orbit is open, it includes a compact homogeneous K"ahler manifold as a submanifold, and a class of strictly G-invariant K"ahler potentials reduces to a K"ahler potential  ...  Open orbit In the open orbit, there is no vacuum alignment. There are N − 1 pure-type generators and one mixed-type generator.  ... 
arXiv:hep-th/9903174v1 fatcat:ho2yw4svujhtnbrs3l5oixxhra

The Mixer Homogeneous Local in Media Device: Detailed Description and its Application to a Plant for the Production of Biogas using Biomass

Stefano Farné
2021 Mediterranean Journal of Basic and Applied Sciences  
The greatest advantage of this device is the possibility of mixing in a localized way and not affecting the entire volume of fluid.  ...  The mixing process affected by this device is fundamental in many areas of industry, from agri-food, to the purification of urban wastewater or petroleum processes.  ...  (1), preferably tubular, closed at both ends, on which it is made a first plurality of holes (1a) aligned along a generatrix of the first manifold (1); • a second manifold (2), preferably tubular, closed  ... 
doi:10.46382/mjbas.2021.5303 fatcat:cieo6pqgebeqrllhihofmsi4by

Optimal Image Alignment With Random Projections of Manifolds: Algorithm and Geometric Analysis

Effrosyni Kokiopoulou, Daniel Kressner, Pascal Frossard
2011 IEEE Transactions on Image Processing  
We cast the alignment problem as a manifold distance minimization problem in the linear subspace defined by the measurements.  ...  This paper addresses the problem of image alignment based on random measurements. Image alignment consists in estimating the relative transformation between a query image and a reference image.  ...  The authors in [28] study the non-differentiability of manifolds spanned by natural images. They show that non-  ... 
doi:10.1109/tip.2010.2102044 pmid:21189239 fatcat:dkyslzpecfgwdlkwhacjv3tp3u

Chaotic printing: using chaos to fabricate densely packed micro- and nanostructures at high resolution and speed

Grissel Trujillo-de Santiago, Mario Moisés Alvarez, Mohamadmahdi Samandari, Gyan Prakash, Gouri Chandrabhatla, Pamela Inés Rellstab-Sánchez, Batzaya Byambaa, Parisa Pour Shahid Saeed Abadi, Serena Mandla, Reginald K. Avery, Alejandro Vallejo-Arroyo, Amir Nasajpour (+3 others)
2018 Materials Horizons  
Each injection rapidly aligns to the manifold of the flow, due to the property of AD.  ...  A close-up of a particular region of the construct reveals a high level of alignment and resolution. Individual nanowires rotate and align to the flow manifold.  ...  For instance, at 5 rpm (the rotational speed used in our experiments), L = 1.61 cycle À1 = 2.68 s À1 for the mixing protocol [2701, 8101] .  ... 
doi:10.1039/c8mh00344k fatcat:gxhnrk2zwfaw7b6rikssursnsa

From waves to convection and back again: The phase space of stably stratified turbulence [article]

Nicolas E. Sujovolsky, Pablo D. Mininni
2019 arXiv   pre-print
The reduced model also allows us to study structure formation, alignment of field gradients in the flow, and to identify balance relations that hold for each fluid element.  ...  After this, fluid elements return to the first manifold. As the stratification increases, the volume of the first manifold increases, and the second manifold becomes harder to access.  ...  In spite of this, we can associate the second invariant manifold Σ 0 with flow regions that are more efficient at mixing.  ... 
arXiv:1912.03160v1 fatcat:scclbndwezc7berxuqmvkwmn4a

An expanding manifold in transmodal regions characterizes adolescent reconfiguration of structural connectome organization

Bo-yong Park, Richard AI Bethlehem, Casey Paquola, Sara Larivière, Raul Rodríguez-Cruces, Reinder Vos de Wael, Edward T Bullmore, Boris C Bernhardt, Neuroscience in Psychiatry Network (NSPN) Consortium
2021 eLife  
Projection of subcortico-cortical connectivity patterns into these manifolds showed parallel alterations in pathways centered on the caudate and thalamus.  ...  Statistical learning of cortical and subcortical manifold features at baseline and their maturational change predicted measures of intelligence at follow-up.  ...  We also 897 repeated the linear mixed effect modeling after excluding 10% of subjects with the lowest 898 alignment to the template manifold (Figure 1-figure supplement 6) . linear mixed effects models  ... 
doi:10.7554/elife.64694 fatcat:qey45dlnwfd4ti33tqcp4yjb6y

Lagrangian transport across the upper Arctic waters in the Canada Basin

Francisco Balibrea-Iniesta, Jiping Xie, Víctor J. García-Garrido, Laurent Bertino, Ana M. Mancho, Stephen Wiggins
2018 Quarterly Journal of the Royal Meteorological Society  
and mixing processes.  ...  The advantage of the Lagrangian descriptor is that it highlights large-scale persistent dynamical structures related to mathematical objects known as invariant manifolds, which determine fluid transport  ...  Panel d)200 emphasizes blue and red curves aligned with stable and unstable manifolds.  ... 
doi:10.1002/qj.3404 fatcat:q7rxtfnshratdhlm6x7nwwdk7m
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