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A neuronal code for space in hippocampal coactivity dynamics independent of place fields
[article]
2021
bioRxiv
pre-print
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We compare the importance of these distinct information representation schemes for encoding environments. ...
We conclude that ensemble cofiring relationships constitute an advantageous neural code for environmental space, independent of place fields. ...
As expected, the place fields of the network units changed, they 'remapped,' on the new track (Fig. 1D, top) . ...
doi:10.1101/2021.07.26.453856
fatcat:3px3mcbbdrfvnn4xct7e5vweoy
Efficient cortical coding of 3D posture in freely behaving rats
[article]
2018
bioRxiv
pre-print
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Single units in both regions were tuned mainly to postural features of the head, back and neck, and much less so to their movement. ...
(PPC) and frontal motor cortex (M2), areas critical for spatial movement planning and navigation. ...
To our knowledge, such a non-uniformity of representation has not been described previously for positional coding of other effectors, or in other sensorimotor systems. ...
doi:10.1101/307785
fatcat:ppkkttvg6zetppccwfx3tzccum
Unsupervised Functional Data Analysis via Nonlinear Dimension Reduction
[article]
2020
arXiv
pre-print
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Moreover, it is unclear how to evaluate the quality of learned embeddings that do not yield invertible mappings, since the reconstruction error cannot be used as a performance measure for such representations ...
However, the performance of manifold methods recently proposed for tabular or image data has not been systematically assessed in the case of functional data yet. ...
The authors of this work take full responsibilities for its content. ...
arXiv:2012.11987v1
fatcat:svfu24dnavgi7h35awgckrw2me
Functional Differentiation of Macaque Visual Temporal Cortical Neurons Using a Parametric Action Space
2008
Cerebral Cortex
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An inspection of the ISOMAP solutions for the full population (N = 198), made it clear that the most faithful representations were for the second (300--550 ms), fifth (1050--1300 ms), and seventh (1550 ...
The 1D solution provided a poorer fit (70% explained variance) indicating that the responses of the neurons do not depend merely on variations of a 1D stimulus parameter, such as mean speed, for example ...
doi:10.1093/cercor/bhn109
pmid:18632741
fatcat:6jxqjzwmnfgu3nlut3fuaku2a4
A geometric approach to multi-view compressive imaging
2012
EURASIP Journal on Advances in Signal Processing
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conjunction with the proposed manifold lifting algorithm can even outperform image-by-image transform coding. ...
Building on results that guarantee stable embeddings of manifolds under random measurements, we propose a "manifold lifting" algorithm for recovering the ensemble that can operate even without knowledge ...
A preliminary version of some results in this paper originally appeared in [10] . ...
doi:10.1186/1687-6180-2012-37
fatcat:cpmlbux5nndzhjxj5hyz5mkrsy
Neural population geometry: An approach for understanding biological and artificial neural networks
[article]
2021
arXiv
pre-print
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We review examples of geometrical approaches providing insight into the function of biological and artificial neural networks: representation untangling in perception, a geometric theory of classification ...
One approach to addressing this challenge is to utilize mathematical and computational tools to analyze the geometry of these high-dimensional representations, i.e., neural population geometry. ...
Acknowledgements We thank Jacob Portes and David Clark for helpful comments. Research was supported by NSF NeuroNex Award DBI-1707398, and The Gatsby Charitable Foundation. ...
arXiv:2104.07059v2
fatcat:i3huichzs5eehcb7ij6rthkl2e
Maximal Linear Embedding for Dimensionality Reduction
2011
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Compared with traditional methods such as ISOMAP and LLE, our MLE yields an explicit modeling of the intrinsic variation modes of the observation data. ...
MLE learns a parametric mapping to recover a single global low-dimensional coordinate space and yields an isometric embedding for the manifold. ...
He has published extensively, including four books and more than 600 technical articles in refereed journals and conference proceedings in the areas of image processing, video coding and communication, ...
doi:10.1109/tpami.2011.39
pmid:21358001
fatcat:hdxl4coiujc53ezbujblr27rj4
Nonlinear manifold learning for meshfree finite deformation thin-shell analysis
2012
International Journal for Numerical Methods in Engineering
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methods; (3) parametrization of the surface using smooth meshfree (here maximum-entropy) approximants; and (4) gluing together the patch representations by means of a partition of unity. ...
We proceed in four steps: (1) partitioning of the node set into subregions of trivial topology; (2) automatic detection of the geometric structure of the surface patches by nonlinear dimensionality reduction ...
MA acknowledges the support received through the prize 'ICREA Academia' for excellence in research, funded by the Generalitat de Catalunya. ...
doi:10.1002/nme.4403
fatcat:qdqpyg4lgnfbnpusl3oj3hy3ly
Patch-Based Video Processing: A Variational Bayesian Approach
2009
IEEE transactions on circuits and systems for video technology (Print)
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The effectiveness of patch-based video models is demonstrated by extensive experimental results on a wider range of video materials. ...
In this paper, we present a patch-based variational Bayesian framework for video processing and demonstrate its potential in denoising, inpainting and deinterlacing. ...
Elad for providing the denoising results of their K-SVD algorithm as the benchmark. ...
doi:10.1109/tcsvt.2008.2005805
fatcat:faai4nfzkvgwrh33pa4e2zzo7q
Spatial sound for video games and virtual environments utilizing real-time GPU-based convolution
2008
Proceedings of the 2008 Conference on Future Play Research, Play, Share - Future Play '08
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of graphics processing units for the computationally efficient generation of spatial audio for dynamic and interactive games and virtual environments. ...
This has allowed for real-time, interactive realistic graphics-based applications on typical consumer-level PCs. ...
The authors also thank the Center for Image Processing and Integrated Computing (CIPIC) at the University of California, Davis, for making their HRTF dataset freely available. ...
doi:10.1145/1496984.1497012
dblp:conf/fplay/CowanK08
fatcat:7nf5ptomljgwzc7f2yyhrqo3sq
Nonlinear Dimensionality Reduction Methods in Climate Data Analysis
[article]
2009
arXiv
pre-print
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These linear methods may not be appropriate for the analysis of data arising from nonlinear processes occurring in the climate system. ...
Numerous techniques for nonlinear dimensionality reduction have been developed recently that may provide a potentially useful tool for the identification of low-dimensional manifolds in climate data sets ...
in machine learning contexts, and has been used in many studies in this field, particularly for face recognition in static and video images [e. ...
arXiv:0901.0537v1
fatcat:2ethc7ddtjdyxkbqzmtg64upwi
Place cells in head-fixed mice navigating a floating real-world environment
[article]
2020
bioRxiv
pre-print
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Here we show that the use of a real-world environment system for head-fixed mice, consisting of a track floating on air, provides some advantages over virtual reality systems for the study of spatial memory ...
However, spatial coding in virtual reality preparations has been observed to be impaired. ...
We primarily used the mRuby image to 256 repeatedly identify the same cells across time. 257 To verify place coding in CA1 neurons, we acquired two-photon time-series videos of GCaMP6s 258 fluorescence ...
doi:10.1101/2020.10.18.344184
fatcat:yqm72wlr3vc3rhuxtouekrqnky
Place Cells in Head-Fixed Mice Navigating a Floating Real-World Environment
2021
Frontiers in Cellular Neuroscience
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However, spatial coding in virtual reality preparations has been observed to be impaired. ...
Here we show that the use of a real-world environment system for head-fixed mice, consisting of an air-floating track with proximal cues, provides some advantages over virtual reality systems for the study ...
ACKNOWLEDGMENTS We thank David Dupret, Richard Morris and Leo Khiroug for useful discussions, and Sihao Lu for his assistance with the Matlab adaptation of the FISSA toolbox. ...
doi:10.3389/fncel.2021.618658
pmid:33642996
pmcid:PMC7906988
fatcat:4jhhwrdhvnhm5cn6bteorgl6ke
Representation Learning: A Review and New Perspectives
[article]
2014
arXiv
pre-print
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2012 pre-print arXiv:1206.5538v1 fatcat:smr74p7mfvbdheadhxitaxllfeOther Versions
Although specific domain knowledge can be used to help design representations, learning with generic priors can also be used, and the quest for AI is motivating the design of more powerful representation-learning ...
This motivates longer-term unanswered questions about the appropriate objectives for learning good representations, for computing representations (i.e., inference), and the geometrical connections between ...
Acknowledgements The author would like to thank David Warde-Farley and Razvan Pascanu for useful feedback, as well as NSERC, CIFAR and the Canada Research Chairs for funding. ...
arXiv:1206.5538v3
fatcat:axiuzjr77zesvkaiewoh7cwmbq
Theta phase coding in a network model of the entorhinal cortex layer II with entorhinal-hippocampal loop connections
2006
Cognitive Neurodynamics
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Learning fruitful representation from data is one of fundamental problems in machine learning and pattern recognition. ...
In this lecture, we will review this model having mechanisms of theta rhythm generation and theta phase coding, and show how successfully sequence learning is done. ...
Acknowledgements This work was supported by a Grant-in-Aid for Science Research in a Priority Area "Super-Hierarchical Structures" from the Ministry of Education, Culture, Sports, Science and Technology ...
doi:10.1007/s11571-006-9003-8
pmid:19003510
pmcid:PMC2267667
fatcat:avihqfr6a5e7tm43lythi27n3a
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