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Related papers: Topological coding in hippocampus

200 papers

We present for mental processes the program of mathematical mapping which has been successfully realized for physical processes. We emphasize that our project is not about mathematical simulation of brain's functioning as a complex physical…

Neurons and Cognition · Quantitative Biology 2010-11-30 Andrei Khrennikov

Grid cells in the entorhinal cortex encode the position of an animal in its environment using spatially periodic tuning curves of varying periodicity. Recent experiments established that these cells are functionally organized in discrete…

Neurons and Cognition · Quantitative Biology 2016-01-13 Noga Weiss Mosheiff , Haggai Agmon , Avraham Moriel , Yoram Burak

Brain connectomics is still largely dominated by pairwise-based models, such as graphs, which cannot represent circulatory or higher-order functional interactions. In this paper, we propose a multimodal framework based on Topological Signal…

Neurons and Cognition · Quantitative Biology 2026-04-01 Breno C. Bispo , Stefania Sardellitti , Juliano B. Lima , Fernando A. N. Santos

Local patterns of excitation and inhibition that can generate neural waves are studied as a computational mechanism underlying the organization of neuronal tunings. Sparse coding algorithms based on networks of excitatory and inhibitory…

Neurons and Cognition · Quantitative Biology 2022-05-30 Leon Lufkin , Ashish Puri , Ganlin Song , Xinyi Zhong , John Lafferty

Fascinating and puzzling phenomena, such as landmark vector cells, splitter cells, and event-specific representations to name a few, are regularly discovered in the hippocampus. Without a unifying principle that can explain these divergent…

Neurons and Cognition · Quantitative Biology 2022-12-06 Rajkumar Vasudeva Raju , J. Swaroop Guntupalli , Guangyao Zhou , Miguel Lázaro-Gredilla , Dileep George

Current theories suggest that adaptive decision-making necessitates the interaction between multiple decision-making systems. The computational definitions of different models of decision-making suggest interactions with task demands and…

Neurons and Cognition · Quantitative Biology 2023-07-28 Ugurcan Mugan , Seiichiro Amemiya , Paul S. Regier , A. David Redish

In the wake of recent advances in experimental methods in neuroscience, the ability to record in-vivo neuronal activity from awake animals has become feasible. The availability of such rich and detailed physiological measurements calls for…

Quantitative Methods · Quantitative Biology 2016-11-03 Gal Mishne , Ronen Talmon , Ron Meir , Jackie Schiller , Uri Dubin , Ronald R. Coifman

Decoding neurons to extract information from transmission and employ them into other use is the goal of neuroscientists' study. Due to that the field of neuroscience is utilizing the traditional methods presently, we hence combine the…

Machine Learning · Computer Science 2020-06-30 Donghan Liu , Benjamin C. M. Fung , Tak Pan Wong

Understanding the encoding and decoding mechanisms of dynamic neural responses to different visual stimuli is an important topic in exploring how the brain represents visual information. Currently, hierarchically deep neural networks (DNNs)…

Neurons and Cognition · Quantitative Biology 2025-12-24 Jingyi Feng , Xiang Feng

Memory systems can store vastly different amounts of information despite similar hardware constraints. Here, we show that superior spatial memory emerges from a discrete stiffening of hippocampal population geometry-a transition from…

Neurons and Cognition · Quantitative Biology 2026-05-19 Prashant C. Raju

The hippocampal-entorhinal complex plays a major role in the organization of memory and thought. The formation of and navigation in cognitive maps of arbitrary mental spaces via place and grid cells can serve as a representation of memories…

Neurons and Cognition · Quantitative Biology 2022-10-31 Paul Stoewer , Achim Schilling , Andreas Maier , Patrick Krauss

Cognitive maps are a proposed concept on how the brain efficiently organizes memories and retrieves context out of them. The entorhinal-hippocampal complex is heavily involved in episodic and relational memory processing, as well as spatial…

Neurons and Cognition · Quantitative Biology 2024-01-04 Paul Stoewer , Achim Schilling , Andreas Maier , Patrick Krauss

The coding mechanism of sensory memory on the neuron scale is one of the most important questions in neuroscience. We have put forward a quantitative neural network model, which is self organized, self similar, and self adaptive, just like…

Neural and Evolutionary Computing · Computer Science 2014-06-26 Peilei Liu , Ting Wang

Over the last few decades, a lot of progress has been made in understanding different aspects of the brain's ability to form abstract representations, but a specific mechanism for how they are created and used remains to emerge. Here, we…

Neurons and Cognition · Quantitative Biology 2020-03-02 Prashant C. Raju

We propose a method, based on persistent homology, to uncover topological properties of a priori unknown covariates of neuron activity. Our input data consist of spike train measurements of a set of neurons of interest, a candidate list of…

Neurons and Cognition · Quantitative Biology 2015-10-23 Gard Spreemann , Benjamin Dunn , Magnus Bakke Botnan , Nils A. Baas

In this paper we propose a neurogeometrical model of the behaviour of cells of the arm area of the primary motor cortex (M1). We will mathematically express as a fiber bundle the hypercolumnar organization of this cortical area, first…

Neurons and Cognition · Quantitative Biology 2023-06-14 Caterina Mazzetti , Alessandro Sarti , Giovanna Citti

Metastable brain dynamics are characterized by abrupt, jump-like modulations so that the neural activity in single trials appears to unfold as a sequence of discrete, quasi-stationary states. Evidence that cortical neural activity unfolds…

Neurons and Cognition · Quantitative Biology 2019-06-20 Giancarlo La Camera , Alfredo Fontanini , Luca Mazzucato

Spatiotemporal flows of neural activity, such as traveling waves, have been observed throughout the brain since the earliest recordings; yet there is still little consensus on their functional role. Recent experiments and models have linked…

Neurons and Cognition · Quantitative Biology 2026-02-03 T. Anderson Keller , Lyle Muller , Terrence J. Sejnowski , Max Welling

We use topological data analysis to study neural population activity in the Sensorium 2023 dataset, which records responses from thousands of mouse visual cortex neurons to diverse video stimuli. For each video, we build frame-by-frame…

Algebraic Topology · Mathematics 2026-03-04 Yuri Gardinazzi , Alessio Ansuini , Eugenio Piasini , Fabio Anselmi , Matteo Biagetti

Neural network models capable of storing memory have been extensively studied in computer science and computational neuroscience. The Hopfield network is a prototypical example of a model designed for associative, or content-addressable,…

Neurons and Cognition · Quantitative Biology 2025-09-24 Marco Cafiso , Paolo Paradisi