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Grid cells in the entorhinal cortex, together with head direction, place, speed and border cells, are major contributors to the organization of spatial representations in the brain. In this work we introduce a novel theoretical and…

Neurons and Cognition · Quantitative Biology 2019-07-25 Fabio Anselmi , Micah M. Murray , Benedetta Franceschiello

We propose a novel training method that integrates rules into deep learning, in a way the strengths of the rules are controllable at inference. Deep Neural Networks with Controllable Rule Representations (DeepCTRL) incorporates a rule…

Machine Learning · Computer Science 2021-11-18 Sungyong Seo , Sercan O. Arik , Jinsung Yoon , Xiang Zhang , Kihyuk Sohn , Tomas Pfister

Deep graph learning focuses on flexible and generalizable models that learn patterns in an automated fashion. Network science focuses on models and measures revealing the organizational principles of complex systems with explicit…

Machine Learning · Computer Science 2026-02-04 Christopher Blöcker , Martin Rosvall , Ingo Scholtes , Jevin D. West

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

Disordered Systems and Neural Networks · Physics 2024-05-08 Kenichi Nakazato

Deep neural networks are notoriously miscalibrated, i.e., their outputs do not reflect the true probability of the event we aim to predict. While networks for tabular or image data are usually overconfident, recent works have shown that…

Machine Learning · Computer Science 2024-03-11 Erik Nascimento , Diego Mesquita , Samuel Kaski , Amauri H Souza

Decades of research on the neural code underlying spatial navigation have revealed a diverse set of neural response properties. The Entorhinal Cortex (EC) of the mammalian brain contains a rich set of spatial correlates, including grid…

Neurons and Cognition · Quantitative Biology 2018-05-11 Christopher J. Cueva , Xue-Xin Wei

A robust theoretical framework that can describe and predict the generalization ability of deep neural networks (DNNs) in general circumstances remains elusive. Classical attempts have produced complexity metrics that rely heavily on global…

Machine Learning · Computer Science 2020-01-20 Marelie H. Davel , Marthinus W. Theunissen , Arnold M. Pretorius , Etienne Barnard

Multicellular self-assembly into functional structures is a dynamic process that is critical in the development and diseases, including embryo development, organ formation, tumor invasion, and others. Being able to infer collective cell…

Recent work by Baratin et al. (2021) sheds light on an intriguing pattern that occurs during the training of deep neural networks: some layers align much more with data compared to other layers (where the alignment is defined as the…

Machine Learning · Statistics 2023-04-12 Yizhang Lou , Chris Mingard , Yoonsoo Nam , Soufiane Hayou

To afford flexible behaviour, the brain must build internal representations that mirror the structure of variables in the external world. For example, 2D space obeys rules: the same set of actions combine in the same way everywhere (step…

Neurons and Cognition · Quantitative Biology 2025-03-04 William Dorrell , Peter E. Latham , Timothy E. J. Behrens , James C. R. Whittington

The task of learning patterns is typically associated with systems that update parameters on fixed architectures, such as neural networks, where learning proceeds through continuous optimization. Here, we demonstrate that pattern learning…

Disordered Systems and Neural Networks · Physics 2026-04-29 Shabeeb Ameen , Tao Zhang , J. M. Schwarz

Graph deep learning models, a class of AI-driven approaches employing a message aggregation mechanism, have gained popularity for analyzing the functional brain connectome in neuroimaging. However, their actual effectiveness remains…

Neural and Evolutionary Computing · Computer Science 2026-02-10 Keqi Han , Yao Su , Lifang He , Liang Zhan , Sergey Plis , Vince Calhoun , Carl Yang

Grid cells in the medial entorhinal cortex and place cells in the hippocampus together support spatial navigation. The two regions are reciprocally connected, and there is a chicken-and-egg problem for how both arise and reinforce each…

Neurons and Cognition · Quantitative Biology 2026-05-21 Zhaoze Wang , Genela Morris , Dori Derdikman , Pratik Chaudhari , Vijay Balasubramanian

The statistical properties of deep neural networks (DNNs) at initialization play an important role to comprehend their trainability and the intrinsic architectural biases they possess before data exposure Well established mean field (MF)…

Machine Learning · Computer Science 2026-03-03 Alberto Bassi , Marco Baity-Jesi , Aurelien Lucchi , Carlo Albert , Emanuele Francazi

Learning-based approaches for solving large sequential decision making problems have become popular in recent years. The resulting agents perform differently and their characteristics depend on those of the underlying learning approach.…

Machine Learning · Computer Science 2020-08-04 Timo P. Gros , Daniel Höller , Jörg Hoffmann , Verena Wolf

Deep neural networks are widely known for their remarkable effectiveness across various tasks, with the consensus that deeper networks implicitly learn more complex data representations. This paper shows that sufficiently deep networks…

Machine Learning · Computer Science 2023-10-31 Wojciech Masarczyk , Mateusz Ostaszewski , Ehsan Imani , Razvan Pascanu , Piotr Miłoś , Tomasz Trzciński

Multi-task learning shows strikingly inconsistent results -- sometimes joint training helps substantially, sometimes it actively harms performance -- yet the field lacks a principled framework for predicting these outcomes. We identify a…

Machine Learning · Computer Science 2026-04-10 Jasper Zhang , Bryan Cheng

Deep neural networks have demonstrated superior performance in artificial intelligence applications, but the opaqueness of their inner working mechanism is one major drawback in their application. The prevailing unit-based interpretation is…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Lei Lyu , Chen Pang , Jihua Wang

Understanding how activity in neural circuits reshapes following task learning could reveal fundamental mechanisms of learning. Thanks to the recent advances in neural imaging technologies, high-quality recordings can be obtained from…

Neurons and Cognition · Quantitative Biology 2021-11-29 Bryan M. Li , Theoklitos Amvrosiadis , Nathalie Rochefort , Arno Onken

Many recent models study the downstream projection from grid cells to place cells, while recent data has pointed out the importance of the feedback projection. We thus asked how grid cells are affected by the nature of the input from the…

Neurons and Cognition · Quantitative Biology 2015-07-16 Yedidyah Dordek , Ron Meir , Dori Derdikman