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Shape information is crucial for human perception and cognition, and should therefore also play a role in cognitive AI systems. We employ the interdisciplinary framework of conceptual spaces, which proposes a geometric representation of…

Machine Learning · Computer Science 2021-11-17 Lucas Bechberger , Kai-Uwe Kühnberger

Current linearizing encoding models that predict neural responses to sensory input typically neglect neuroscience-inspired constraints that could enhance model efficiency and interpretability. To address this, we propose a new method called…

The brain is likely the most complex organ, given the variety of functions it controls, the number of cells it comprises, and their corresponding diversity. Studying and identifying neurons, the brain's primary building blocks, is a crucial…

Machine Learning · Computer Science 2023-06-02 Ofek Ophir , Orit Shefi , Ofir Lindenbaum

Neural fields, also known as implicit neural representations, have emerged as a powerful means to represent complex signals of various modalities. Based on this Dupont et al. (2022) introduce a framework that views neural fields as data,…

Machine Learning · Computer Science 2023-02-10 Matthias Bauer , Emilien Dupont , Andy Brock , Dan Rosenbaum , Jonathan Richard Schwarz , Hyunjik Kim

Mathematical morphology is a theory and technique to collect features like geometric and topological structures in digital images. Given a target image, determining suitable morphological operations and structuring elements is a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Yucong Shen , Xin Zhong , Frank Y. Shih

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

The human brain cortical layer has a convoluted morphology that is unique to each individual. Characterization of the cortical morphology is necessary in longitudinal studies of structural brain change, as well as in discriminating…

Neurons and Cognition · Quantitative Biology 2019-02-21 Sevil Maghsadhagh , Anders Eklund , Hamid Behjat

Neuromorphology is crucial to identifying neuronal subtypes and understanding learning. It is also implicated in neurological disease. However, standard morphological analysis focuses on macroscopic features such as branching frequency and…

Neurons and Cognition · Quantitative Biology 2022-03-10 Thomas L. Athey , Jacopo Teneggi , Joshua T. Vogelstein , Daniel Tward , Ulrich Mueller , Michael I. Miller

Neuronal circuits formed in the brain are complex with intricate connection patterns. Such complexity is also observed in the retina as a relatively simple neuronal circuit. A retinal ganglion cell receives excitatory inputs from neurons in…

Neurons and Cognition · Quantitative Biology 2020-03-03 Shanshan Jia , Zhaofei Yu , Arno Onken , Yonghong Tian , Tiejun Huang , Jian K. Liu

Understanding the operation of biological and artificial networks remains a difficult and important challenge. To identify general principles, researchers are increasingly interested in surveying large collections of networks that are…

Machine Learning · Statistics 2022-01-14 Alex H. Williams , Erin Kunz , Simon Kornblith , Scott W. Linderman

We introduce a graphical method originating from the computer graphics domain that is used for the arbitrary and intuitive placement of cells over a two-dimensional manifold. Using a bitmap image as input, where the color indicates the…

Neural and Evolutionary Computing · Computer Science 2018-03-23 Nicolas P. Rougier

Segmentation of anatomical shapes from medical images has taken an important role in the automation of clinical measurements. While typical deep-learning segmentation approaches are performed on discrete voxels, the underlying objects being…

Image and Video Processing · Electrical Eng. & Systems 2023-09-19 Nil Stolt-Ansó , Julian McGinnis , Jiazhen Pan , Kerstin Hammernik , Daniel Rueckert

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

Understanding the intricate architecture of brain networks and its connection to brain function is essential for deciphering the underlying principles of cognition and disease. While traditional graph-theoretical measures have been widely…

Chaotic Dynamics · Physics 2025-11-13 Anca Radulescu , Eva Kaslik , Alexandru Fikl , Johan Nakuci , Sarah Muldoon , Michael Anderson

Foundation models have shown remarkable success in fitting biological visual systems; however, their black-box nature inherently limits their utility for understanding brain function. Here, we peek inside a SOTA foundation model of neural…

Neurons and Cognition · Quantitative Biology 2026-01-30 Johannes Bertram , Luciano Dyballa , Anderson Keller , Savik Kinger , Steven W. Zucker

A shape filter is presented to repair segmentation results obtained in calcium imaging of neurons in vivo. This post-segmentation algorithm can automatically smooth the shapes obtained from a preliminary segmentation, while precluding the…

Image and Video Processing · Electrical Eng. & Systems 2018-06-04 Jie Wang , Zhongxiao Fu , Nasrin Sadeghzadehyazdi , Jonathan Kipnis , Scott T. Acton

We introduce a novel framework for the classification of functional data supported on nonlinear, and possibly random, manifold domains. The motivating application is the identification of subjects with Alzheimer's disease from their…

Methodology · Statistics 2024-04-15 Eardi Lila , Wenbo Zhang , Swati Rane Levendovszky

In the study of neurons, morphology influences function. The complexity in the structure of neurons poses a challenge in the identification and analysis of similar and dissimilar neuronal cells. Existing methodologies carry out structural…

Image and Video Processing · Electrical Eng. & Systems 2018-02-21 Tamal Batabyal , Scott T. Acton

The brain is composed of billions of neurons with virtually endless morphologies and ion channel compositions, resulting in unique extracellular waveforms. Nevertheless, almost all neuronal morphologies can be reduced to a simple…

Neurons and Cognition · Quantitative Biology 2026-01-12 Jérémie Sibille , Kai Lun Teh , Alexandra Tzilivaki , Dietmar Schmitz , Paula T. Kuokkanen

Shape-constrained functional data encompass a wide array of application fields, such as activity profiling, growth curves, healthcare and mortality. Most existing methods for general functional data analysis often ignore that such data are…

Methodology · Statistics 2024-08-13 Poorbita Kundu , Hans-Georg Müller