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Page 3160 of Mathematical Reviews Vol. , Issue 2000e [page]

2000 Mathematical Reviews  
(B-ULB-IF; Brussels) Probabilistic analysis of column-convex and directed diagonally- convex animals. II. Trajectories and shapes.  ...  A column-convex animal is a connected polyomino that meets ev- ery vertical line in an interval. Directed diagonally-convex animals are a subclass.  ... 

Theta phase coding in a network model of the entorhinal cortex layer II with entorhinal-hippocampal loop connections

Jun Igarashi, Hatsuo Hayashi, Katsumi Tateno
2006 Cognitive Neurodynamics  
Various methods have been developed, including factor analysis, principal component analysis (PCA), independent component analysis (ICA), manifold learning, and so on.  ...  We also tested how the shape of STDP rule affected the performance of the present model amid background noise [6].  ...  The DDA generates analog ridge-like functions from the given diffusion source position in the given direction, and the RDA traces the ridge lines.  ... 
doi:10.1007/s11571-006-9003-8 pmid:19003510 pmcid:PMC2267667 fatcat:avihqfr6a5e7tm43lythi27n3a

Propagation of chaos: a review of models, methods and applications. II. Applications [article]

Louis-Pierre Chaintron, Antoine Diez
2022 arXiv   pre-print
The first part of this review is an introduction to modelling aspects of stochastic particle systems and to the notion of propagation of chaos.  ...  The second part presents concrete applications and a more detailed study of some of the important models in the field.  ...  The work of AD is supported by an EPSRC-Roth scholarship co-funded by the Engineering and Physical Sciences Research Council and the Department of Mathematics at Imperial College London.  ... 
arXiv:2106.14812v4 fatcat:lmu2u5agkfhtjbetnwb547rszq

(Probably) Concave Graph Matching [article]

Haggai Maron, Yaron Lipman
2018 arXiv   pre-print
Following the recent works of zaslavskiy2009path,Vestner2017 we analyze and generalize the idea of concave relaxations.  ...  We introduce the concepts of conditionally concave and probably conditionally concave energies on polytopes and show that they encapsulate many instances of the graph matching problem, including matching  ...  Acknowledgments The authors would like to thank Boaz Nadler, Omri Sarig, Vova Kim and Uri Bader for their helpful remarks and suggestions.  ... 
arXiv:1807.09722v3 fatcat:g7eofeh7gfc63h5vdyeqpaarqq

Neural Representation of Spatial Topology in the Rodent Hippocampus

Zhe Chen, Stephen N. Gomperts, Jun Yamamoto, Matthew A. Wilson
2014 Neural Computation  
In contrast to a topographic code, our results support the efficiency of topological coding in the presence of sparse sample size and fuzzy space mapping.  ...  We recorded ensembles of hippocampal neurons as rodents freely foraged in one and two-dimensional spatial environments, and we used a "decode-to-uncover" strategy to examine the temporally structured patterns  ...  Layton and F. Kloosterman for sharing their experimental data, and thank C. Curto and K. Marku for sharing their data analysis software. We also thank E. N. Brown and S. Tonegawa for support.  ... 
doi:10.1162/neco_a_00538 pmid:24102128 pmcid:PMC3967246 fatcat:wkqgzfogjjartdkato6n52jehm

Uncovering spatial topology represented by rat hippocampal population neuronal codes

Zhe Chen, Fabian Kloosterman, Emery N. Brown, Matthew A. Wilson
2012 Journal of Computational Neuroscience  
We develop a hidden Markov model (HMM) and a variational Bayesian (VB) inference algorithm to achieve this computational goal, and we apply the analysis to extensive simulation and experimental data.  ...  Our empirical results show promising direction for discovering structural patterns of ensemble spike activity during periods of active navigation.  ...  Acknowledgements The work was supported in part by the NIH Grant DP1-OD003646 (E.N.B.) and MH061976 (M.A.W.). We thank Stuart Layton for providing the linear track experimental data used in the paper.  ... 
doi:10.1007/s10827-012-0384-x pmid:22307459 pmcid:PMC3974406 fatcat:ifevw6bc4bgahd64w6prw4hvza

Probabilistic Analysis of Carlitz Compositions

Guy Louchard, Helmut Prodinger
2002 Discrete Mathematics & Theoretical Computer Science  
We describe also the associated processes and the limiting trajectories, the width and thickness of a composition. We finally present a typical simulation.  ...  International audience Using generating functions and limit theorems, we obtain a stochastic description of Carlitz compositions of large integer n (i.e. compositions two successive parts of which are  ...  Acknowledgements The pertinent comments of the referee led to improvements in the presentation.  ... 
doi:10.46298/dmtcs.302 fatcat:hkpy4mqsazgkhhurupluh6cq44

Deformation capture and modeling of soft objects

Bin Wang, Longhua Wu, KangKang Yin, Uri Ascher, Libin Liu, Hui Huang
2015 ACM Transactions on Graphics  
We augment a state-of-the-art probabilistic tracking method to robustly handle noise, occlusions, fast movements and large deformations.  ...  We also showcase the ability of our system with high quality animations generated from optimized deformation parameters for a variety of soft objects, such as live plants and fabricated models.  ...  We are grateful to the authors of [Chen et al. 2014  ... 
doi:10.1145/2766911 fatcat:jh36tec37nbidbhwsvvphpjtyu

Bundle-Specific Axon Diameter Index as a New Contrast to Differentiate White Matter Tracts

Muhamed Barakovic, Gabriel Girard, Simona Schiavi, David Romascano, Maxime Descoteaux, Cristina Granziera, Derek K. Jones, Giorgio M. Innocenti, Jean-Philippe Thiran, Alessandro Daducci
2021 Frontiers in Neuroscience  
Overall, our method provides a more robust estimation of the axon diameter index of pathways by jointly estimating the microstructure properties of the tissue and the macroscopic organisation of the white  ...  We demonstrate the favourable performance of our approach comparing our estimates with existing histologically-derived measurements performed in the corpus callosum and the posterior limb of the internal  ...  of Lausanne (UNIL), Ecole polytechnique fdrale de Lausanne (EPFL), University of Geneva (UNIGE) and Geneva University Hospitals (HUG).  ... 
doi:10.3389/fnins.2021.646034 fatcat:h4fppfpdyzb6nhy25e2vbkp7ki

Rate-Invariant Recognition of Humans and Their Activities

A. Veeraraghavan, A. Srivastava, A.K. Roy-Chowdhury, R. Chellappa
2009 IEEE Transactions on Image Processing  
The model is composed of a nominal activity trajectory and a function space capturing the probability distribution of activity-specific time warping transformations.  ...  We use the square-root parameterization of time warps to derive geodesics, distance measures and probability distributions on the space of time warping functions.  ...  Finally, in Section VIII, we present conclusions and future research directions. II. PROBLEM STATEMENT Let C 1 , C 2 , ..., C M be M classes (in our case M different activity labels).  ... 
doi:10.1109/tip.2009.2017143 pmid:19398409 fatcat:tlawprfmovarzaazn2623mhmkq

14th International Symposium on Mathematical Programming

1990 Mathematical programming  
Finally I report numerical results of a comparison between the variant and a minimization approach using penalty functions.  ...  It is shown that for the success of the variant dom must ful ll a regularity property and that the choice of the normal vectors must meet some demands.Both requirements are ful lled if dom is polyhedral  ...  The IIS may contain both row and column bounds. Finding an IIS in a large LP provides a mechanism to locate the infeasibility.  ... 
doi:10.1007/bf01580875 fatcat:3jtclwmntzgjxkqs5uecombdaa

Transducer models in the ultrasound simulation program FIELD II and their accuracy

J. A. Jensen, D. Bk
2010 Journal of the Acoustical Society of America  
The combined effects of internal waves and bathymetry are studied for various relative directions of internal wave front and bottom ripples.  ...  Comparative analysis of these two different ducts is performed using our idealized model.  ...  Session 2pNSb Noise, Animal Bioacoustics and INCE: Effects of Noise on Humans and Non-Human Animals II Ann E.  ... 
doi:10.1121/1.3384240 fatcat:m5fvh5cecjceneniqfd5w2y3xy

A century of Gestalt psychology in visual perception: I. Perceptual grouping and figure–ground organization

Johan Wagemans, James H. Elder, Michael Kubovy, Stephen E. Palmer, Mary A. Peterson, Manish Singh, Rüdiger von der Heydt
2012 Psychological bulletin  
We then review classic and new image-based principles of figure-ground organization, how it is influenced by past experience and attention, and how it relates to shape and depth perception.  ...  We first introduce the key findings and ideas in the Berlin school of Gestalt psychology, and then briefly sketch its development, rise, and fall.  ...  Another way of thinking about this shape analysis is in terms of a skeletal or axial representation of shape.  ... 
doi:10.1037/a0029333 pmid:22845751 pmcid:PMC3482144 fatcat:ob2i5wa6zzf37gg5fqnoo3tonu

Dependent landmark drift: robust point set registration with a Gaussian mixture model and a statistical shape model [article]

Osamu Hirose
2018 arXiv   pre-print
Our transformation model is defined as a combination of the similar transformation, motion coherence, and the statistical shape model.  ...  The effectiveness of the method will be verified through comparisons with existing algorithms using datasets concerning human body shapes, hands, and faces.  ...  product and x (d) is the dth column of X.  ... 
arXiv:1711.06588v3 fatcat:pcqd4vkuyvfpxkpuj4ufqeyfwi

Reconstruction of developmental landscapes by optimal-transport analysis of single-cell gene expression sheds light on cellular reprogramming [article]

Geoffrey Schiebinger, Jian Shu, Marcin Tabaka, Brian Cleary, Vidya Subramanian, Aryeh Solomon, Siyan Liu, Stacie Lin, Peter Berube, Lia Lee, Jenny Chen, Justin Brumbaugh (+5 others)
2017 bioRxiv   pre-print
Here, we introduce an approach, WADDINGTON-OT, based on the mathematics of optimal transport, for inferring developmental landscapes, probabilistic cellular fates and dynamic trajectories from large-scale  ...  We construct a high-resolution map of reprogramming that rediscovers known features; uncovers new alternative cell fates including neural- and placental-like cells; predicts the origin and fate of any  ...  trajectories shaped by hills and valleys.  ... 
doi:10.1101/191056 fatcat:cvo77rioj5ahvdgtyfljyc77gy
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