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Improved Moves for Truncated Convex Models

M. Pawan Kumar, Olga Veksler, Philip H. S. Torr
2011 Journal of machine learning research  
We consider the problem of obtaining an approximate maximum a posteriori estimate of a discrete random field characterized by pairwise potentials that form a truncated convex model.  ...  For this problem, we propose two st-MINCUT based move making algorithms that we call Range Swap and Range Expansion.  ...  form a truncated convex model).  ... 
dblp:journals/jmlr/KumarVT11 fatcat:tklshku7znhtjewfv7ix57isre

Improved Moves for Truncated Convex Models

M. Pawan Kumar, Philip H. S. Torr
2008 Neural Information Processing Systems  
For this problem, we propose an improved st-MINCUT based move making algorithm.  ...  We consider the problem of obtaining the approximate maximum a posteriori estimate of a discrete random field characterized by pairwise potentials that form a truncated convex model.  ...  of truncated convex models).  ... 
dblp:conf/nips/KumarT08 fatcat:ncteglczfnf5hiye7dzwgcex4u

Multi-label Moves for MRFs with Truncated Convex Priors [chapter]

Olga Veksler
2009 Lecture Notes in Computer Science  
A multi-label move, unlike expansion and swap, gives each pixel has a choice of more than two labels to switch to. In particular, we develop several multilabel moves for truncated convex priors.  ...  At each iteration, a move-making algorithm makes a proposal (move) for a pixel p to either keep its old label or switch to a new label.  ...  We develop and compare several new multi-label moves for energies with a truncated convex prior, and a new multi-label move for the Potts model.  ... 
doi:10.1007/978-3-642-03641-5_1 fatcat:mgc7ni5gsbalxd3vqkq3nsyj3y

Multi-label Moves for MRFs with Truncated Convex Priors

Olga Veksler
2011 International Journal of Computer Vision  
A multi-label move, unlike expansion and swap, gives each pixel has a choice of more than two labels to switch to. In particular, we develop several multilabel moves for truncated convex priors.  ...  At each iteration, a move-making algorithm makes a proposal (move) for a pixel p to either keep its old label or switch to a new label.  ...  We develop and compare several new multi-label moves for energies with a truncated convex prior, and a new multi-label move for the Potts model.  ... 
doi:10.1007/s11263-011-0491-6 fatcat:e3va2t7jezetxm67zxvqe73gd4

A local O(n2) gathering algorithm

Bastian Degener, Barbara Kempkes, Friedhelm Meyer auf der Heide
2010 Proceedings of the 22nd ACM symposium on Parallelism in algorithms and architectures - SPAA '10  
See Figure 3 for an illustration. r i can be moved to the point of the local convex hull closest to the point shown as p in Figure 3 .  ...  Now we compute a lower bound for the expected area by which r i truncates the global convex hull in the time step t in which it is first active, depending only on its internal angle of the global convex  ... 
doi:10.1145/1810479.1810523 dblp:conf/spaa/DegenerKH10 fatcat:p4svwiio2ra2feqfbms47v6cja

GRMA: Generalized Range Move Algorithms for the Efficient Optimization of MRFs

Kangwei Liu, Junge Zhang, Peipei Yang, Stephen Maybank, Kaiqi Huang
2016 International Journal of Computer Vision  
However, two problems have greatly limited the applicability of range move algorithms: 1) They are limited in the energy functions they can handle (i.e., only truncated convex functions); 2) They tend  ...  In this paper, we propose two generalized range move algorithms (GR-MA) for the efficient optimization of MRFs.  ...  We thank Olga Veksler for her great help to this work, and we thank Pushmeet Kohli for his valuable comments.  ... 
doi:10.1007/s11263-016-0944-z fatcat:rsuz3sjtdrc25klhke3ca4j7bi

Demystifying Batch Normalization in ReLU Networks: Equivalent Convex Optimization Models and Implicit Regularization [article]

Tolga Ergen, Arda Sahiner, Batu Ozturkler, John Pauly, Morteza Mardani, Mert Pilanci
2022 arXiv   pre-print
Experiments with CIFAR image classification highlight the effectiveness of this explicit regularization for mimicking and substantially improving the performance of standard BN networks.  ...  convex objective.  ...  For CIFAR-100, the chosen learning rates for the Adam, Adam-Truncated, Convex, and Convex-Truncated models were 10 −5 , 10 −4 , 5 × 10 −5 , and 10 −5 , respectively.  ... 
arXiv:2103.01499v3 fatcat:wsurdsbwerh6faey7hjq6cdtdm

Page 930 of Journal of Sedimentary Petrology Vol. 45, Issue 4 [page]

1975 Journal of Sedimentary Petrology  
For each category the filter is truncated. In the surf zone, the filter is truncated at the coarser end; in the swash and dune areas, the filters are truncated at the finer end.  ...  In a conceptual model where sand is moved from the surf, through the swash zone, and into either beach ridges or dunes, a time sequence can be established as follows: first, surf; second, swash; third,  ... 

Moving object detection based on non-convex RPCA with segmentation constraint

Zixuan Hu, Yongli Wang, Rui Su, Xinxin Bian, Hongchao Wei, Guoping He
2020 IEEE Access  
Experimental results show that the proposed model can effectively improve the accuracy of moving object detection, and has better visual effect of foreground object detection than existed methods.  ...  To solve the above problems, a new non-convex rank approximate RPCA model based on segmentation constraint is proposed.  ...  For example, RPCA model can separate the background and the moving object at the same time.  ... 
doi:10.1109/access.2020.2977273 fatcat:jsf6bdg32nd2ncgbiheizvru5i

A CONVEX OPTIMIZATION APPROACH TO THE MODE ACCELERATION PROBLEM

S. O. Reza Moheimani, Dunant Halim
2002 IFAC Proceedings Volumes  
We will show that the problem can be cast as a convex optimization problem that can be solved via linear matrix inequalities. ?  ...  The purpose of this note is to introduce an alternative procedure to the mode acceleration method when the underlying structure model includes damping.  ...  This allows for the problem to be cast as a convex optimization problem.  ... 
doi:10.3182/20020721-6-es-1901.00463 fatcat:k246xxzaond4pmrex6ijwnbvfm

A convex optimization approach to the mode acceleration problem

S.O.Reza Moheimani, Dunant Halim
2004 Automatica  
We will show that the problem can be cast as a convex optimization problem that can be solved via linear matrix inequalities. ?  ...  The purpose of this note is to introduce an alternative procedure to the mode acceleration method when the underlying structure model includes damping.  ...  This allows for the problem to be cast as a convex optimization problem.  ... 
doi:10.1016/j.automatica.2003.12.012 fatcat:oytseywjjranrgucapou66465a

Augmented Reality as a Didactic Resource for Teaching Mathematics

Roger Fernández-Enríquez, Laura Delgado-Martín
2020 Applied Sciences  
Finally, we design an innovative, didactic proposal for teaching the polyhedra in the third course of compulsory Secondary Education in Spain, using the resources created with the augmented reality technology  ...  Technical development takes a lot of time, resources, and effort, and for implementation in the classroom, the entire technical and curricular part must be perfectly organized.  ...  The AR models will facilitate visualization (they can move, rotate the marker and the polyhedron will also move with the marker) and understand concepts like faces, vertices, and edges, that will be in  ... 
doi:10.3390/app10072560 fatcat:nd7zsftjdnhz5mtgz5xhsyshoq

Application and adaptation of the truncated Newton method for non-convex plasticity problems [article]

F. Bormann, R.H.J. Peerlings, M.G.D. Geers
2018 arXiv   pre-print
The stability of the truncated Newton method is demonstrated for the, highly non-convex, Peierls-Nabarro model, solved within a Finite Element framework.  ...  In successful models of such complex behaviour, its origin lies within non-convexity of the governing free energy functional.  ...  Acknowledgements We would like to thank Pratheek Shanthraj of the Max Planck Institute for Iron Research for useful comments on the present work.  ... 
arXiv:1810.13393v1 fatcat:isnm75vuazc6rcylkydibth3pq

The forming characteristic in the single-point incremental forming of a complex shape

Van Cuong Do, Bong Hyun Lee, Seung Han Yang, Young Suk Kim
2017 International Journal of Nanomanufacturing  
Incremental sheet forming is popularly applied because of its reduced cost, flexibility, and applicability for small batch production.  ...  The sheet is clamped around its periphery with a blank holder that moves synchronously with the tool in a vertical direction, and the forming tool moves along a trajectory on the convex surface of the  ...  Figure 8 shows the finite element model for the ISF process for a complex shape.  ... 
doi:10.1504/ijnm.2017.082409 fatcat:wtkhcxpq25ehnmzjjmch3l5wqa

Truncated Max-of-Convex Models [article]

Pankaj Pansari, M. Pawan Kumar
2016 arXiv   pre-print
Truncated convex models (TCM) are a special case of pairwise random fields that have been widely used in computer vision.  ...  We propose a natural generalization of TCM to high-order random fields, which we call truncated max-of-convex models (TMCM).  ...  Discussion We proposed a novel family of high-order random fields called truncated max-of-convex models (TMCM) which are generalization of truncated convex models (TCM).  ... 
arXiv:1512.07815v2 fatcat:gk6imma7j5bqnfy25f2lxyqr6i
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