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new [arXiv] M. Wu, V. Itskov. A Topological Approach to Inferring the Intrinsic Dimension of Convex Sensing Data. 2020.
[arXiv] K. Morrison, A. Degeratu, V. Itskov, C. Curto. Diversity of emergent dynamics in competitive threshold-linear networks: a preliminary report. 2016.

Peer-reviewed publications:

[pdf] V. Itskov, A. Kunin, Z. Rosen. Hyperplane neural codes and the polar complex. The Abel Symposia proceedings, vol 15, pp. 343-369, 2020.
[pdf] J. Cruz, C. Giusti, V. Itskov, B. Kronholm. On open and closed convex codes. Discrete and Computational Geometry, 61(2):247-270, 2019.
[main, supp_text] C. Giusti, E. Pastalkova, C. Curto*, V. Itskov*. Clique topology reveals intrinsic geometric structure in neural correlations. PNAS, 112 (44):13455-13460, 2015. (*equal contribution).
[pdf] C. Giusti, V. Itskov. A no-go theorem for one-layer feedforward networks. Neural Computation, 26 (11):2527-2540, 2014.
[pdf] C. Curto, A. Degeratu, V. Itskov. Encoding binary neural codes in networks of threshold-linear neurons. Neural Computation, 25(11):2858-2903, 2013.
[pdf] C. Curto, V. Itskov, A. Veliz-Cuba, N. Youngs. The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes. Bulletin of Mathematical Biology, 75:1571-1611, 2013.
[pdf] C. Curto, V. Itskov, K. Morrison, Z. Roth, J.L. Walker. Combinatorial neural codes from a mathematical coding theory perspective. Neural Computation, 25(7):1891-1925, 2013.
[pdf] C.Curto, A. Degeratu, V. Itskov. Flexible memory networks. Bulletin of Mathematical Biology, 74:590-614, 2012.
[pdf] V. Itskov, D. Hansel, M. Tsodyks. Short-term facilitation may stabilize parametric working memory trace. Frontiers in Computational Neuroscience, 5:1-19, 2011.
[pdf] V. Itskov*, C. Curto*, E. Pastalkova, G. Buzsaki. Cell assembly sequences arising from spike threshold adaptation keep track of time in the hippocampus. Journal of Neuroscience, 31(8), 2011. (*equal contribution)
[pdf] V. Itskov, P. Olver, F. Valiquette. Lie completion of pseudo-groups. Transformation Groups, 16(1):161-173, 2011.
[pdf] C. Lacefield, V. Itskov, T. Reardon, R. Hen, J. Gordon. Effects of Adult-Generated Granule Cells on Coordinated Network Activity in the Dentate Gyrus. Hippocampus, 22(1):106-116, 2012.
[link] K.D. Harris, P. Bartho, P. Chadderton, C. Curto, J. de la Rocha, L. Hollender, V. Itskov, A. Luczak, S. Marguet, A. Renart, S. Sakata. How do neurons work together? Lessons from auditory cortex. Hearing Research, 271(1-2), 2011.
[pdf] C. Curto, S. Sakata, S. Marguet, V. Itskov, K.D. Harris. A simple model of cortical dynamics explains variability and state-dependence of sensory responses in urethane-anesthetized auditory cortex. Journal of Neuroscience, 29(34), 2009.
[pdf] C. Curto*, V. Itskov*. Cell groups reveal structure of stimulus space. PLoS Computational Biology 4(10), 2008. (*equal contribution)
[pdf] E. Pastalkova, V. Itskov , A. Amarasingham , G. Buzsaki. Internally Generated Cell Assembly Sequences in the Rat Hippocampus. Science 321(5894):1322 - 1327, 2008.
[pdf] V. Itskov, L.F. Abbott. Capacity of a Perceptron for Sparse Discrimination . Phys. Rev. Lett. 101(1), 2008.
[link] V. Itskov, E. Pastalkova, K. Mizuseki, G. Buzsaki, K.D. Harris. Theta-mediated dynamics of spatial information in hippocampus. Journal of Neuroscience, 28(23), 2008.
[pdf] V. Itskov, C. Curto, K.D. Harris. Valuations for spike train prediction. Neural Computation, 20(3), 644-667, 2008.
[pdf] V. Itskov. Orbit reduction of contact ideals. Contemporary Mathematics. vol. 285, 171-181, 2001.
[pdf] V. Itskov, M.Karasev, and Yu.Vorobjev. Infinitesimal Poisson cohomology. In "Coherent transform, quantization, and Poisson geometry". AMS Trans. Ser. 2, 187, 327-360, 1998.

Book chapters:

[pdf] C. Curto, V. Itskov. Combinatorial neural codes. Book chapter to appear in the Handbook of Discrete and Combinatorial Mathematics, 2016

Miscellaneus writing:

1) A pitch for more theory -- a white paper at an eclectic workshop.