Specific evidence of low-dimensional continuous attractor dynamics in grid cells

Yoon, KiJung, Buice, Michael A, Barry, Caswell, Hayman, Robin, Burgess, Neil, Fiete, Ila R·2013·Nature Neuroscience

Cited by (272)

Items 101–200 of 272

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    Alex T. Piet, Jeffrey C. Erlich, Charles D. Kopec, C. Brody · 2017 · Neural Computation
  2. Synaptic integrative mechanisms for spatial cognition
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  3. One-shot entorhinal maps enable flexible navigation in novel environments
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  4. Path integration maintains spatial periodicity of grid cell firing in a 1D circular track
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  5. Capacity-Resolution Trade-Off in the Optimal Learning of Multiple Low-Dimensional Manifolds by Attractor Neural Networks
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  6. Coherently remapping toroidal cells but not Grid cells are responsible for path integration in virtual agents
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  7. Predicting modular functions and neural coding of behavior from a synaptic wiring diagram
    Ashwin Vishwanathan, Alexandro D. Ramirez, Jingpeng Wu, Alex Sood, Runzhe Yang, Nico Kemnitz, Dodam Ih, Nicholas L. Turner, Kisuk Lee, Ignacio Tartavull et al. · 2020 · bioRxiv (Cold Spring Harbor Laboratory)
  8. Self-motion processing in visual and entorhinal cortices: inputs, integration, and implications for position coding
    Malcolm G. Campbell, Lisa Marie Giocomo · 2018 · Journal of Neurophysiology
  9. Environment geometry alters subiculum boundary vector cell receptive fields in adulthood and early development
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  11. Beyond hippocampus: Thalamic and prefrontal contributions to an evolving memory
    Nakul Yadav, Andrew C. Toader, Priyamvada Rajasethupathy · 2024 · Neuron
  12. The chicken and egg problem of grid cells and place cells
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  13. How to build a cognitive map: insights from models of the hippocampal formation
    James C. R. Whittington, David McCaffary, Jacob J. W. Bakermans, Timothy E.J. Behrens · 2022 · arXiv (Cornell University)
  14. Computational cross‐species views of the hippocampal formation
    Seren L. Zhu, Kaushik J. Lakshminarasimhan, Dora E. Angelaki · 2023 · Hippocampus
  15. Integration and multiplexing of positional and contextual information by the hippocampal network
    L. Posani, S. Cocco, R. Monasson · 2018 · bioRxiv
  16. Degeneracy in the robust expression of spectral selectivity, subthreshold oscillations, and intrinsic excitability of entorhinal stellate cells
    Divyansh Mittal, Rishikesh Narayanan · 2018 · Journal of Neurophysiology
  17. Inter- and intra-animal variation in the integrative properties of stellate cells in the medial entorhinal cortex
    Hugh Pastoll, Derek L.F. Garden, Ioannis Papastathopoulos, Gülşen Sürmeli, Matthew F. Nolan · 2020 · eLife
  18. Velocity coupling of grid cell modules enables stable embedding of a low dimensional variable in a high dimensional neural attractor
    Noga Mosheiff, Yoram Burak · 2019 · eLife
  19. Distorted Grids as a Spatial Label and Metric
    Francis Carpenter, Caswell Barry · 2016 · Trends in Cognitive Sciences
  20. Soft Modes as a Predictive Framework for Low-Dimensional Biological Systems Across Scales
    Christopher Joel Russo, Kabir B. Husain, Arvind Murugan · 2025 · Annual Review of Biophysics
  21. Identifying Core Regions for Path Integration on Medial Entorhinal Cortex of Hippocampal Formation
    Ayako Fukawa, Takahiro Aizawa, Hiroshi Yamakawa, Ikuko Eguchi Yairi · 2020 · Brain Sciences
  22. Replay as wavefronts and theta sequences as bump oscillations in a grid cell attractor network
    Louis Kang, M. DeWeese · 2019 · bioRxiv
  23. The development of the hippocampal neural representation of space
    Thomas Joseph Wills, Francesca Cacucci · 2013 · Current Opinion in Neurobiology
  24. Optogenetic pacing of medial septum parvalbumin-positive cells disrupts temporal but not spatial firing in grid cells
    Mikkel Elle Lepperød, Ane Charlotte Christensen, Kristian Kinden Lensjø, Alessio Paolo Buccino, Jai Y. Yu, Marianne Fyhn, Torkel Hafting · 2021 · Science Advances
  25. Megamap: flexible representation of a large space embedded with nonspatial information by a hippocampal attractor network
    Kathryn R. Hedrick, Kechen Zhang · 2016 · Journal of Neurophysiology
  26. Partial coherence and frustration in self‐organizing spherical grids
    Stella, Federico, Urdapilleta, Eugenio, Luo, Yifan, Treves, Alessandro · 2020 · Hippocampus
  27. Human hippocampus and dorsomedial prefrontal cortex infer and update latent causes during social interaction
    Mahmoodi, Ali, Luo, Shuyi, Harbison, Caroline, Piray, Payam, Rushworth, Matthew F.S. · 2024 · Neuron
  28. Medial entorhinal cortex mediates learning of context-dependent interval timing behavior
    Erin R. Bigus, Hyun‐Woo Lee, John C. Bowler, Jiani Shi, James G. Heys · 2024 · Nature Neuroscience
  29. Attractor dynamics reflect decision confidence in macaque prefrontal cortex
    Siyu Wang, Rossella Falcone, Barry J. Richmond, Bruno B. Averbeck · 2023 · Nature Neuroscience
  30. Human hippocampus and dorsomedial prefrontal cortex infer and update latent causes during social interaction
    Ali Mahmoodi, Shu-Yi Luo, C. Harbison, Payam Piray, M. Rushworth · 2023 · bioRxiv
  31. How Do You Build a Cognitive Map? The Development of Circuits and Computations for the Representation of Space in the Brain
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  32. Gauge Fields in the Central Nervous System
    Arturo Tozzi, Biswa Sengupta, James Francis Peters, Karl John Friston · 2017 · Springer series in cognitive and neural systems
  33. Spatial Maps in the Entorhinal Cortex and Adjacent Structures
    Dori Derdikman, Edvard Ingjald Moser · 2014 · Springer eBooks
  34. Global modules robustly emerge from local interactions and smooth gradients
    Mikail Khona, Sarthak Chandra, Ila Fiete · 2025 · Nature
  35. During hippocampal inactivation, grid cells maintain synchrony, even when the grid pattern is lost
    Noam Almog, Gilad Tocker, Tora Bonnevie, Edvard Ingjald Moser, May‐Britt Moser, Dori Derdikman · 2019 · eLife
  36. Size Matters: How Scaling Affects the Interaction between Grid and Border Cells
    Diogo Santos-Pata, Riccardo Zucca, Sock Ching Low, Paul F. M. J. Verschure · 2017 · Frontiers in Computational Neuroscience
  37. Efficiency of local learning rules in threshold-linear associative networks
    Francesca Schönsberg, Y. Roudi, A. Treves · 2020 · bioRxiv
  38. Untethered firing fields and intermittent silences: Why grid‐cell discharge is so variable
    Johannes Nagele, Andreas V. M. Herz, Martin Stemmler · 2020 · Hippocampus
  39. Periodic population codes: From a single circular variable to higher dimensions, multiple nested scales, and conceptual spaces
    Andreas V. M. Herz, Alexander Mathis, Martin Stemmler · 2017 · Current Opinion in Neurobiology
  40. How does the modular organization of entorhinal grid cells develop?
    Praveen K. Pilly, Stephen Grossberg · 2014 · Frontiers in Human Neuroscience
  41. How to build a grid cell
    Christoph Schmidt‐Hieber, Michael Häusser · 2013 · Philosophical Transactions of the Royal Society B Biological Sciences
  42. Thalamocortical architectures for flexible cognition and efficient learning
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  44. Emergence of dynamically reconfigurable hippocampal responses by learning to perform probabilistic spatial reasoning
    Ingmar Kanitscheider, Ila Fiete · 2017 · bioRxiv (Cold Spring Harbor Laboratory)
  45. Pulse Bifurcations in Stochastic Neural Fields
    Z. Kilpatrick, Grégory Faye · 2014 · SIAM Journal on Applied Dynamical Systems
  46. Ketamine evoked disruption of entorhinal and hippocampal spatial maps
    Francis Kei Masuda, Emily A Aery Jones, Yanjun Sun, Lisa Marie Giocomo · 2023 · Nature Communications
  47. Attractor dynamics reflect decision confidence in macaque prefrontal cortex
    Si-Yu Wang, Rossella Falcone, Barry J. Richmond, B. Averbeck · 2023 · bioRxiv
  48. Multiple bumps can enhance robustness to noise in continuous attractor networks
    Raymond Wang, Louis Kang · 2022 · bioRxiv
  49. Accurate angular integration with only a handful of neurons
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  50. Probabilistic Learning by Rodent Grid Cells
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    César Rennó‐Costa, Ana Cláudia Costa da Silva, Wilfredo Blanco, Sidarta Tollendal Gomes Ribeiro · 2018 · Neurobiology of Learning and Memory
  53. Nonequilibrium Statistical Mechanics of Continuous Attractors
    Weishun Zhong, Zhiyue Lu, David J. Schwab, Arvind Murugan · 2020 · Neural Computation
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  56. Inferring circuit mechanisms from sparse neural recording and global perturbation in grid cells
    John Widloski, Michael P Marder, Ila Fiete · 2018 · eLife
  57. A structured scaffold underlies activity in the hippocampus
    Mulders, Dounia, Yim, Man Yi, Lee, Jae Sung, Lee, Albert K., Taillefumier, Thibaud, Fiete, Ila R. · 2021
  58. Coexistence of Cyclic Sequential Pattern Recognition and Associative Memory in Neural Networks by Attractor Mechanisms
    Jing Huo, Jiali Yu, Min Wang, Zhang Yi, Jinsong Leng, Yong Liao · 2024 · IEEE Transactions on Neural Networks and Learning Systems
  59. Hexagons all the way down: grid cells as a conformal isometric map of space
    V. Schøyen, Kosio Beshkov, M. Pettersen, Erik Hermansen, Konstantin Holzhausen, Anders Malthe-So̷renssen, M. Fyhn, M. Lepperød · 2024 · bioRxiv
  60. Task-anchored grid cell firing is selectively associated with successful path integration-dependent behaviour
    Harry Clark, Matthew F. Nolan · 2023 · bioRxiv (Cold Spring Harbor Laboratory)
  61. Grid-Cell Activity on Linear Tracks Indicates Purely Translational Remapping of 2D Firing Patterns at Movement Turning Points
    Michaela Pröll, S. Häusler, A. Herz · 2018 · Journal of Neuroscience
  62. Making our way through the world: Towards a functional understanding of the brain's spatial circuits
    Ingmar Kanitscheider, Ila Fiete · 2017 · Current Opinion in Systems Biology
  63. Robust and efficient coding with grid cells
    Lajos Vágó, Balázs B. Ujfalussy · 2018 · PLoS Computational Biology
  64. The Preferred Directions of Conjunctive Grid X Head Direction Cells in the Medial Entorhinal Cortex Are Periodically Organized
    Alexander Keinath · 2016 · PLoS ONE
  65. Dynamics of robust pattern separability in the hippocampal dentate gyrus
    Joel Zylberberg, Robert A. Hyde, Ben W. Strowbridge · 2015 · Hippocampus
  66. Not so griddy: Internal representations of RNNs path integrating more than one agent
    William T. Redman, Francisco Acosta, Santiago Acosta-Mendoza, N. Miolane · 2024 · bioRxiv
  67. Flexible control of representational dynamics in a disinhibition-based model of decision-making
    Bo Shen, Kenway Louie, Paul William Glimcher · 2023 · eLife
  68. Place-cell capacity and volatility with grid-like inputs
    Man Yi Yim, Lorenzo A. Sadun, Ila Fiete, Thibaud O. Taillefumier · 2021 · eLife
  69. The population dynamics of a canonical cognitive circuit
    Rishidev Chaudhuri, Berk Gerçek, Biraj Pandey, Adrien Peyrache, Ila Fiete · 2019 · bioRxiv (Cold Spring Harbor Laboratory)
  70. How Does the Brain Solve the Computational Problems of Spatial Navigation?
    John Widloski, Ila Fiete · 2014 · Springer eBooks
  71. Slow Transition to Low-Dimensional Chaos in Heavy-Tailed Recurrent Neural Networks
    Eva Yi Xie, S. Mihalas, L. Kusmierz · 2025 · bioRxiv
  72. Learning a Continuous Attractor Neural Network from Real Images
    Xiaolong Zou, Zilong Ji, Xiao Liu, Yuanyuan Mi, K. Y. Michael Wong, Si Wu · 2017 · Lecture notes in computer science
  73. Brain-Inspired Multimodal Navigation With Multiscale Hippocampal–Entorhinal Neural Network
    Chuang Yang, Zhi Xiong, Xiao-Ling Liang, Jian-Ye Liu · 2024 · IEEE Transactions on Instrumentation and Measurement
  74. Modeled grid cells aligned by a flexible attractor
    Sabrina Benas, Ximena Fernández, Emilio Kropff · 2024 · eLife
  75. Ketamine evoked disruption of entorhinal and hippocampal spatial maps
    Francis Kei Masuda, Yanjun Sun, Emily A Aery Jones, Lisa Marie Giocomo · 2023 · bioRxiv (Cold Spring Harbor Laboratory)
  76. A Neuronal Code for Space in Hippocampal Coactivity Dynamics Independent of Place Fields
    Eliott R. J. Levy, Eunhye Park, William T. Redman, André Antonio Fenton · 2021 · SSRN Electronic Journal
  77. If I had a million neurons
    Michael Erik Hasselmo · 2015 · Progress in brain research
  78. An abstract relational map emerges in the human medial prefrontal cortex with consolidation
    Alon Boaz Baram, Hamed Nili, Ines V. Barreiros, Veronika Samborska, Timothy E.J. Behrens, Mona M. Garvert · 2026 · Current Biology
  79. Explicit error coding can mediate gain recalibration in continuous bump attractor networks
    Gorkem Secer, James J. Knierim, Noah John Cowan · 2025 · Nature Communications
  80. Line attractors of coupled ring neural networks with block circulant weight matrix
    Jiali Yu, Yi Zhang, Jinsong Leng · 2019 · International Journal of Computer Mathematics
  81. Modeling grid fields instead of modeling grid cells
    Sophie Rosay, Simon N. Weber, Marcello Mulas · 2019 · Journal of Computational Neuroscience
  82. Object-vector coding in the medial entorhinal cortex
    Ø. Høydal, E. R. Skytøen, M. Moser, E. Moser · 2018 · bioRxiv
  83. Hippocampal Based Model Reveals the Distinct Roles of Dentate Gyrus and CA3 during Robotic Spatial Navigation
    D. Pata, A. Escuredo, Stéphane Lallée, P. Verschure · 2014 · Living Machines
  84. Structured experience shapes strategy learning and neural dynamics in the medial entorhinal cortex
    John C. Bowler, Dua Azhar, Cambria M. Jensen, Hyun‐Woo Lee, James G. Heys · 2026 · Nature Neuroscience
  85. Robust variability of grid cell properties within individual grid modules enhances encoding of local space
    William T. Redman, Santiago Acosta-Mendoza, Xue-Xin Wei, Michael J. Goard · 2024 · bioRxiv
  86. Simultaneous embedding of multiple attractor manifolds in a recurrent neural network using constrained gradient optimization
    Haggai Agmon, Y. Burak · 2023 · Neural Information Processing Systems
  87. Simulation of oscillatory dynamics induced by an approximation of grid cell output
    Roger D. Traub, Miles A. Whittington, Mark O. Cunningham · 2022 · Reviews in the Neurosciences
  88. A brain-like navigation method inspired by the spatial cells’ cognitive mechanism
    Yishen Liao, Hejie Yu, Naigong Yu · 2022 · Computers & Electrical Engineering
  89. Unsupervised learning for robust working memory
    Jintao Gu, Sukbin Lim · 2022 · PLoS Computational Biology
  90. Effect of boundaries on grid cell patterns
    Mauro M. Monsalve‐Mercado, Christian Leibold · 2020 · Physical Review Research
  91. Recurrent amplification of grid‐cell activity
    Tiziano D’Albis, Richard Kempter · 2020 · Hippocampus
  92. The Role of Hierarchical Dynamical Functions in Coding for Episodic Memory and Cognition
    Holger Dannenberg, Andrew S. Alexander, Jennifer C. Robinson, Michael Erik Hasselmo · 2019 · Journal of Cognitive Neuroscience
  93. Flexible representation of higher-dimensional cognitive variables with grid cells
    Mirko Klukas, Marcus Lewis, Ila Fiete · 2019 · bioRxiv (Cold Spring Harbor Laboratory)
  94. Cortical microcircuit determination through global perturbation and sparse sampling in grid cells
    John Widloski, Ila Fiete · 2015 · bioRxiv (Cold Spring Harbor Laboratory)
  95. Computational Models of Grid Cell Firing
    Daniel Bush, Christoph Schmidt‐Hieber · 2018 · Springer series in computational neuroscience
  96. Speed modulations in grid cell information geometry
    Zeyuan Ye, Ralf Weßel · 2025 · Nature Communications
  97. Dynamic and reversible remapping of network representations in an unchanging environment
    Isabel I. C. Low, Alex H. Williams, Malcolm G. Campbell, Scott W. Linderman, L. Giocomo · 2022 · Neuron
  98. Low-Dimensional Dynamics of Brain Activity Associated with Manual Acupuncture in Healthy Subjects
    Xinmeng Guo, Jiang Wang · 2021 · Sensors
  99. Fragmented Spatial Maps from Surprisal: State Abstraction and Efficient Planning
    Mirko Klukas, Sugandha Sharma, Yilun Du, Tomás Lozano‐Pérez, Leslie Pack Kaelbling, Ila Fiete · 2021 · bioRxiv (Cold Spring Harbor Laboratory)
  100. Distinct algorithms for combining landmarks and path integration in medial entorhinal, visual and retrosplenial cortex
    Malcolm G. Campbell, Alexander Attinger, Samuel A. Ocko, Surya Ganguli, Lisa Marie Giocomo · 2020 · bioRxiv (Cold Spring Harbor Laboratory)