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Fourier-like summation of several grid cell modules with different spatial frequencies in the medial entorhinal cortex (MEC) has long been proposed to form the contours of place firing fields. Recent experiments largely, but not completely,…

Neurons and Cognition · Quantitative Biology 2019-10-15 Taiping Zeng , XiaoLi Li , Bailu Si

Spatial awareness in mammals is based on an internalized representation of the environment, encoded by large networks of spiking neurons. While such representations can last for a long time, the underlying neuronal network is transient:…

Neurons and Cognition · Quantitative Biology 2016-02-03 Andrey Babichev , Yuri Dabaghian

Spatial navigation in mammals is based on building a mental representation of their environment---a cognitive map. However, both the nature of this cognitive map and its underpinning in neural structures and activity remains vague. A key…

Neurons and Cognition · Quantitative Biology 2016-03-22 A. Babichev , S. Cheng , Yu. Dabaghian

We develop of a line of work initiated by Curto and Itskov towards understanding the amount of information contained in the spike trains of hippocampal place cells via topology considerations. Previously, it was established that simply…

Neurons and Cognition · Quantitative Biology 2018-11-21 Samir Chowdhury , Bowen Dai , Facundo Mémoli

Mobile robots require comprehensive scene understanding to operate effectively in diverse environments, enriched with contextual information such as layouts, objects, and their relationships. Although advances like neural radiation fields…

Robotics · Computer Science 2024-12-30 Jiawei Hou , Wenhao Guan , Longfei Liang , Jianfeng Feng , Xiangyang Xue , Taiping Zeng

A common approach to interpreting spiking activity is based on identifying the firing fields---regions in physical or configuration spaces that elicit responses of neurons. Common examples include hippocampal place cells that fire at…

Neurons and Cognition · Quantitative Biology 2021-08-10 D. Akhtiamov , A. G. Cohn , Y. Dabaghian

The human brain is the most powerful and efficient machine in existence today, surpassing in many ways the capabilities of modern computers. Currently, lines of research in neuromorphic engineering are trying to develop hardware that mimics…

Neural and Evolutionary Computing · Computer Science 2022-10-06 Daniel Casanueva-Morato , Alvaro Ayuso-Martinez , Juan P. Dominguez-Morales , Angel Jimenez-Fernandez , Gabriel Jimenez-Moreno

Topological data analyses are rapidly turning into key tools for quantifying large volumes of neurobiological data, e.g., for organizing the spiking outputs of large neuronal ensembles and thus gaining insights into the information produced…

Neurons and Cognition · Quantitative Biology 2019-09-18 Yuri Dabaghian

Humans and animals show remarkable learning efficiency, adapting to new environments with minimal experience. This capability is not well captured by standard reinforcement learning algorithms that rely on incremental value updates. Rapid…

Artificial Intelligence · Computer Science 2025-12-03 Ching Fang , Kanaka Rajan

Hippocampal CA3 is crucial for the formation of long-term associative memory. It has a heavily recurrent connectivity, and memories are thought to be stored as memory engrams in the CA3. However, despite its importance for memory storage…

Neurons and Cognition · Quantitative Biology 2017-04-26 Yansong Chua , Cheston Tan

Neural computation is associated with the emergence, reconfiguration and dissolution of cell assemblies in the context of varying oscillatory states. Here, we describe the complex spatio-temporal dynamics of cell assemblies through temporal…

Neurons and Cognition · Quantitative Biology 2020-01-20 Nicola Pedreschi , Christophe Bernard , Wesley Clawson , Pascale Quilichini , Alain Barrat , Demian Battaglia

Learning in the space-time domain remains a very challenging problem in machine learning and computer vision. Current computational models for understanding spatio-temporal visual data are heavily rooted in the classical single-image based…

Computer Vision and Pattern Recognition · Computer Science 2020-05-26 Andrei Nicolicioiu , Iulia Duta , Marius Leordeanu

Growing neuropsychological and neurophysiological evidence suggests that the visual cortex uses parts-based representations to encode, store and retrieve relevant objects. In such a scheme, objects are represented as a set of spatially…

Neurons and Cognition · Quantitative Biology 2015-03-13 Jenia Jitsev , Christoph von der Malsburg

In the mammalian brain newly acquired memories depend on the hippocampus for maintenance and recall, but over time these functions are taken over by the neocortex through a process called systems consolidation. However, reactivation of a…

Neurons and Cognition · Quantitative Biology 2019-03-29 Peter Helfer , Thomas R. Shultz

Recently, researchers have found time cells in the hippocampus that appear to contain information about the timing of past events. Some researchers have argued that time cells are taking a Laplace transform of their input in order to…

Neurons and Cognition · Quantitative Biology 2020-12-30 Alexander Hsu , Sarah Marzen

Episodic memory plays a crucial role in various cognitive processes, such as the ability to mentally recall past events. While cognitive science emphasizes the significance of spatial context in the formation and retrieval of episodic…

Machine Learning · Computer Science 2024-03-04 Junmo Cho , Jaesik Yoon , Sungjin Ahn

Topological techniques have become a popular tool for studying information flows in neural networks. In particular, simplicial homology theory is used to analyze how cognitive representations of space emerge from large conglomerates of…

Neurons and Cognition · Quantitative Biology 2025-02-19 Andrey Babichev , Vladimir Vashin , Yuri Dabaghian

Complementary Learning Systems theory holds that intelligent agents need two learning systems. Semantic memory is encoded in the neocortex with dense, overlapping representations and acquires structured knowledge. Episodic memory is encoded…

Machine Learning · Computer Science 2025-09-03 Lucie Fontaine , Frédéric Alexandre

We propose a topological framework for memory and inference grounded in the structure of spike-timing dynamics, persistent homology, and the Context-Content Uncertainty Principle (CCUP). Starting from the observation that polychronous…

Neurons and Cognition · Quantitative Biology 2025-08-19 Xin Li

We introduce a new neural architecture and an unsupervised algorithm for learning invariant representations from temporal sequence of images. The system uses two groups of complex cells whose outputs are combined multiplicatively: one that…

Neural and Evolutionary Computing · Computer Science 2010-06-03 Karo Gregor , Yann LeCun