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Recent works have demonstrated that the sample complexity of gradient-based learning of single index models, i.e. functions that depend on a 1-dimensional projection of the input data, is governed by their information exponent. However,…

Machine Learning · Statistics 2023-09-08 Alireza Mousavi-Hosseini , Denny Wu , Taiji Suzuki , Murat A. Erdogdu

The human visual system has a hierarchical structure consisting of layers of processing, such as the retina, V1, V2, etc. Understanding the functional roles of these visual processing layers would help to integrate the psychophysiological…

Computer Vision and Pattern Recognition · Computer Science 2014-12-19 Honghao Shan , Garrison Cottrell

Designing a model of retinal isomerization in Rhodopsin, the first step in vision, that accounts for both experimental transient and stationary state observables is challenging. Here, multi-objective Bayesian optimization is employed to…

Biological Physics · Physics 2024-09-17 Davinder Singh , Chern Chuang , Paul Brumer

In studies of the visual system as well as in computer vision, the focus is often on contrast edges. However, the primate visual system contains a large number of cells that are insensitive to spatial contrast and, instead, respond to…

Neurons and Cognition · Quantitative Biology 2021-03-30 Michael Schmuker , Rüdiger Kupper , Ad Aertsen , Thomas Wachtler , Marc-Oliver Gewaltig

Retinal imaging provides a non-invasive window into systemic microvascular health and has emerged as a potential biomarker for systemic diseases. However, whether retinal features encode biologically meaningful systemic signals that can be…

Image and Video Processing · Electrical Eng. & Systems 2026-05-26 Mini Han Wang , Liting Huang , Wei Hong , Boonthawan Wingwon

Spontaneous waves are ubiquitous during early brain development and are hypothesized to drive the development of receptive fields (RFs). Different stages of spontaneous waves in the retina have been observed to coincide with the development…

Neurons and Cognition · Quantitative Biology 2025-05-22 Jennifer Crodelle , Wei P. Dai

The light-dependent magnetic compass of night-migratory songbirds is widely hypothesized to rely on the radical pair mechanism within retinal cryptochrome. However, bridging the mechanistic gap between microsecond quantum spin dynamics and…

The phenomenon of cell sorting/segregation, by which cells organise spatially into clusters of specific cell type or function, is essential for tissue morphogenesis. This self-organization process involves an interplay between mechanical,…

Biological Physics · Physics 2025-03-19 Marius Bothe , Eloise Lardet , Alexei Poliakov , Gunnar Pruessner , Thibault Bertrand , Ignacio Bordeu

We present a hidden Markov model that describes variation in an animal's position associated with varying levels of activity in action potential spike trains of individual place cell neurons. The model incorporates a coarse-graining of…

Applications · Statistics 2014-12-22 Marc Box , Matt W. Jones , Nick Whiteley

In this paper, we propose a time-series stochastic model based on a scale mixture distribution with Markov transitions to detect epileptic seizures in electroencephalography (EEG). In the proposed model, an EEG signal at each time point is…

Signal Processing · Electrical Eng. & Systems 2021-11-15 Akira Furui , Tomoyuki Akiyama , Toshio Tsuji

We develop a stochastic model for the programmed frameshift of ribosomes synthesizing a protein while moving along a mRNA template. Normally the reading frame of a ribosome decodes successive triplets of nucleotides on the mRNA in a…

Biological Physics · Physics 2017-06-01 Bhavya Mishra , Gunter M. Schütz , Debashish Chowdhury

We examine immunostaining experimental data for the formation of the strip 2 of $even-skipped$ ($eve$) transcripts on $D.$ $melanogaster$ embryos. An estimate of the factor converting immunofluorescence intensity units into molecular…

Subcellular Processes · Quantitative Biology 2016-02-10 Guilherme N. Prata , José Eduardo M. Hornos , Alexandre F. Ramos

AI training datasets will inevitably contain AI-generated examples, leading to ``feedback'' in which the output of one model impacts the training of another. It is known that such iterative feedback can lead to model collapse, yet the…

Machine Learning · Computer Science 2026-02-24 Vibhas Kumar Vats , David J. Crandall , Samuel Goree

Several different enzymes display an apparent diffusion coefficient that increases with the concentration of their substrate. Moreover, their motion becomes directed in substrate gradients. Currently, there are several competing models for…

Biological Physics · Physics 2020-09-23 Giovanni Giunta , Hamid Seyed-Allaei , Ulrich Gerland

Continuous electroencephalography (EEG) is routinely used in neurocritical care to monitor seizures and other harmful brain activity, including rhythmic and periodic patterns that are clinically significant. Although deep learning methods…

Human-Computer Interaction · Computer Science 2026-01-05 Argha Kamal Samanta , Deepak Mewada , Monalisa Sarma , Debasis Samanta

Assessing brain development for small infants is important for determining how the human brain grows during the early period of life when the rate of brain growth is at its peak. The development of MRI techniques has enabled the…

Applications · Statistics 2018-06-27 Alexander Petersen , Sean Deoni , Hans-Georg Müller

Brain function as measured by multichannel EEG recordings can be described to a high level of accuracy by microstates, characterized as a sequence of time intervals within which the sign invariant normalized scalp electric potential field…

Neurons and Cognition · Quantitative Biology 2022-08-08 Roberto D. Pascual-Marqui , Kieko Kochi , Toshihiko Kinoshita

We propose a new model based on the Ising model with the aim to study synaptic plasticity phenomena in neural networks. It is today well established in biology that the synapses or connections between certain types of neurons are…

Disordered Systems and Neural Networks · Physics 2016-07-22 Eugene Pechersky , Guillem Via , Anatoly Yambartsev

DNA methylation is a primary layer of epigenetic modification that plays a pivotal role in the regulation of development, aging, and cancer. The concurrent activity of opposing enzymes that mediate DNA methylation and demethylation gives…

Biological Physics · Physics 2026-02-10 Fabrizio Olmeda , Misha Gupta , Onurcan Bektas , Steffen Rulands

The spectrum of the generator (Kolmogorov operator) of a diffusion process, referred to as the Ruelle-Pollicott (RP) spectrum, provides a detailed characterization of correlation functions and power spectra of stochastic systems via…

Mathematical Physics · Physics 2020-03-11 Alexis Tantet , Mickaël D. Chekroun , Henk A. Dijkstra , J. David Neelin