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Spectral Latent Variable Models for Perceptual Inference

Atul Kanaujia, Cristian Sminchisescu, Dimitris Metaxas
2007 2007 IEEE 11th International Conference on Computer Vision  
that preserve global or local geometric properties of the modeled data; (2) offer low-dimensional generative models with probabilistic, bi-directional mappings between latent and ambient spaces, (3) are  ...  probabilistically consistent (i.e., reflect the data distribution, both jointly and marginally) and efficient to learn and use.  ...  We use a 2d face tracker based on a landmark representationa 80d vector encoding 40 (x 2d) points.  ... 
doi:10.1109/iccv.2007.4408845 dblp:conf/iccv/KanaujiaSM07 fatcat:alca33lpzfegrdzgaz52hln5bm

How tropical are seven- and eight-particle amplitudes?

Niklas Henke, Georgios Papathanasiou
2020 Journal of High Energy Physics  
By comparing these beyond-cluster adjacency predictions with existing data on the amplitude through four loops [30, 34, 67] , we establish that the NMHV amplitude does not satisfy them, namely Tr + (4,  ...  Section 7 deals with Tr + (3, 8) and the more compact representation we can obtain for the corresponding generalised biadjoint scalar amplitude, and finally section 8 contains our conclusions and outlook  ...  with the usual logarithms on the left-hand side at weight one, and (weight zero) rational numbers accompanying the total differentials on the right-hand side.  ... 
doi:10.1007/jhep08(2020)005 fatcat:pcgq4ir4xfbubgiy4gjhfhugl4

How tropical are seven- and eight-particle amplitudes? [article]

Niklas Henke, Georgios Papathanasiou
2020 arXiv   pre-print
with the usual logarithms on the left-hand side at weight one, and (weight zero) rational numbers accompanying the total differentials on the right-hand side.  ...  A function F is defined to be an MPL of weight n if its total differential obeys dF = φ β F φ β d ln φ β , (1.1) such that F φα is a MPL of weight n − 1 and so on, with the above recursive definition terminating  ... 
arXiv:1912.08254v2 fatcat:mmy3tseninhinob5jggisj3rhq

Synopses for Massive Data: Samples, Histograms, Wavelets, Sketches

Graham Cormode
2011 Foundations and Trends in Databases  
These methods proceed by computing a lossy, compact synopsis of the data, and then executing the query of interest against the synopsis rather than the entire dataset.  ...  Recent research into wavelet representations has focused on error guarantees beyond L 2 .  ...  sparse B-term representation belongs to the non-linear space { M −1 i=0 z i φ i : z i ∈ R, Z 0 ≤ B}, where the L 0 norm Z 0 denotes the number of non-zero coefficients in the vector Z = (z 0 , z 1 ,  ... 
doi:10.1561/1900000004 fatcat:wk7razxkmzcv7fzczftlohblwa

Modeling Chemical Reactors I: Quiescent Reactors [article]

C.E. Michoski, J.A. Evans, P.G. Schmitz
2010 arXiv   pre-print
We introduce a fully generalized quiescent chemical reactor system in arbitrary space =1,2 or 3, with n∈N chemical constituents α_i, where the character of the numerical solution is strongly determined  ...  Each graph is shown at T = 1.3 minutes.  ...  In order to circumvent this pathology, we demand convergence componentwise globally in space for each timestep. §2.3 Spatial discretization Now let use discretize in space.  ... 
arXiv:1012.5682v1 fatcat:5gqsfn4yyzgzjjxq2ge6t3im7q

SOME INVESTIGATIONS ON IMPROVING PERFORMANCE OF FADING CANNELS IN MANETS

Dr. Anbu Karuppusamy S
2021 Zenodo  
of the state vector by an angle of towards .  ...  M-dimensional state space Y can be applied The operator is a reflection at the hyper plane orthogonal to for vectors in the plane spanned by and it act as a reflection at the line through .  ... 
doi:10.5281/zenodo.5148816 fatcat:3p7mvkqddfa6naoaz55fnelolq

The unfolded universe of elementary particles. A geometric explanation of the standard model structure [article]

Daniel Bennequin
2016 arXiv   pre-print
Then we suggest predictions to go beyond the standard model.  ...  differential equations on vector bundles over the Minkowski space of signature (1, 3), like Dirac, Maxwell or Klein-Gordon equations.  ...  The space Λ ev (F ") splits in three summands, the constants, the 6 dimensions of bi-vectors and the rank one space of 4-vectors.  ... 
arXiv:1601.04127v1 fatcat:znqjddcunnez5ed7nbfi3clwl4

Can robots make good models of biological behaviour?

B Webb
2001 Behavioral and Brain Sciences  
ACKNOWLEDGMENTS Research and preparation for this commentary have been supported by grant NAGS-8781 from the National Aeronautics and Space Administration, and grant BCS 92-16562 from the National Science  ...  But this is no different in principle from the limitations of a person solving differential equations by hand.  ...  Must the Hodgkin-Huxley model of ionic currents be included, or will a simple threshold of weighted inputs do?  ... 
pmid:12412325 fatcat:xzdirg5xezamdpqc5k42qydf3m

Can robots make good models of biological behaviour?

Barbara Webb
2001 Behavioral and Brain Sciences  
No specific position in the space of models thus defined is the only correct one, but a good modelling methodology should be explicit about its position and the justification for that position.  ...  ACKNOWLEDGMENTS Research and preparation for this commentary have been supported by grant NAGS-8781 from the National Aeronautics and Space Administration, and grant BCS 92-16562 from the National Science  ...  ACKNOWLEDGMENTS The research described in this commentary has been supported by the EU Project COGVIS (IST-2000-29375) and MIRROR (IST-2000-28159), and by the Italian Space Agency (ASI).  ... 
doi:10.1017/s0140525x01000127 fatcat:paszkdmgg5azlplbfzfyfh3z7u

ACTA TEHNICA CORVINIENSIS Fascicule 2 [April-June]-Bulletin of Engineering Tome VII [2014] ACTA TEHNICA CORVINIENSIS Fascicule 2 [April-June]-Bulletin of Engineering Tome VII [2014] ACTA TEHNICA CORVINIENSIS Fascicule 2 [April-June]-Bulletin of Engineering Tome VII [2014] ACTA TEHNICA CORVINIENSIS Fascicule 2 [April-June]-Bulletin of Engineering Tome VII [2014] Review process & Editorial Policy

Romania Heput, Hungary Imre, J Rudas, Slovakia Velišek, Serbia Mirjana, Vojinović Miloradov, Alessandro Italy, Gasparetto, Portugal João, Paulo Davim, Romania Carmen, Alic (+71 others)
unpublished
It is created with the help of random binary vector called a mask. It selects the genes where the vector is "1" from the first parent and the genes where the vector is "0" from the other parent.  ...  Springer, Discrete Differential Geometry, 38 :175-188 [5.] Wang, C. and Tang K., 2004.  ...  In addition to new technological procedures in the processing of cylinder liners, piston group and bearings, this area also includes the reduction of piston mechanism weight, which significantly reduces  ... 
fatcat:5dbwmqxjrfh2jlu3w65fonxtz4

Numerical and Analytical Methods for Laser-Plasma Acceleration Physics

Francesco <1987> Rossi, Giorgio Turchetti
2015
The finite difference approximation ∆ h [f ](x) of a linear differential operator ∆ is a linear function of the field values at the locations x + h * k, being k a vector of signed integers, h the discretization  ...  This ability to sustain extremely large acceleration gradients enables compact accelerating schemes.  ... 
doi:10.6092/unibo/amsdottorato/6771 fatcat:rgenp376fje5rltu24cm7lnte4

Numerical Methods and Software for General and Structured Eigenvalue Problems [article]

Daniel Kreßner, Technische Universität Berlin, Technische Universität Berlin, Volker Mehrmann
2004
The efficient and reliable computation of these "matrix-vector products" is a delicate task, see e.g. [124] , and beyond the scope of this treatment.  ...  Theorem 1.34 (Compact WY representation [202] ).  ...  Algorithm 5.33 works withH, see (5.40), instead of H implying that the action of the matrices A, G and Q on a vector must be known.  ... 
doi:10.14279/depositonce-983 fatcat:z7vgefkaarfrniadzrsccldabm