Nerve Theorems for Fixed Points of Neural Networks
Explore how network connectivity shapes neural activity using combinatorial threshold-linear networks. Learn about nerve theorems and their application in understanding fixed points of large neural networks.
Pawel Dlotko - A Few Simple Stories on Topology in Action
Explore practical applications of computational topology in material science, dynamical systems, and brain research. Learn how theory and algorithms work together to solve real-world problems.
An Application of Neighborhoods in Directed Graphs in the Classification of Binary Dynamics
Explore graph theory applications in classifying binary dynamics, focusing on vertex neighborhoods and their use in analyzing neuronal network activity, with insights from the Blue Brain Project.
Kathryn Hess - Bedlewo: Topology Meets Neuroscience
Explore how topology applies to neuroscience across scales, from neurons to brain regions. Discover topological analysis of microconnectomes and neuron classification, with insights into brain imaging data.
Deep Learning of Dynamical Systems for Mechanistic Insight and Prediction in Psychiatry
Explore deep learning techniques for analyzing dynamical systems in psychiatry, uncovering mechanisms, and predicting outcomes using neural and behavioral data from various sources.
Math and Nature
Explore mathematical patterns in nature and their applications in neuroscience. Discover how math reveals hidden structures in the world and aids in developing medical solutions for neurological disorders.
Using Maths and Physics to Treat Parkinson’s With a Vibrating Glove
Innovative vibrotactile therapy for Parkinson's disease using mathematical models to design stimulation patterns, showing promising results in reducing symptoms and abnormal brain activity through non-invasive fingertip vibrations.
Self-Consistent Transfer Operators for High-Dimensional Expanding Coupled Maps
Explore self-consistent transfer operators in high-dimensional expanding coupled maps, examining equilibrium measures, stability, and the relationship between thermodynamic limits and finite-dimensional systems.
Tensor Decompositions - A Quick Tour of Illustrative Applications
Explore tensor decompositions for data analysis and dimensionality reduction. Learn fundamentals, applications in various fields, and hands-on examples using real-world datasets.
Mathematical Modelling of Microtube-Driven Regrowth of Glioma After Local Resection
Explore mathematical modeling of glioma regrowth post-resection, focusing on microtube-driven mechanisms and their impact on tumor recurrence and treatment strategies.
The Key Equation Behind Probability - Entropy, Cross-Entropy, and KL Divergence
Explore probability theory fundamentals, from surprise to entropy, cross-entropy, and KL divergence. Learn key concepts applicable to neuroscience and machine learning.
Nonlinear Dynamics of Neuronal Models with Applications to Bird Song Dynamics - Class 2
Explore nonlinear dynamics of neuronal models and their application to bird song dynamics, focusing on advanced concepts and real-world examples.
Nonlinear Dynamics of Neuronal Models with Applications to Bird Song Dynamics - Class 1
Explore nonlinear dynamics in neuronal models, focusing on bird song dynamics. Gain insights into complex neuroscience concepts and their applications.
Latent Multimodal Functional Graphical Model Estimation
Explore latent graphical model estimation for multimodal functional data, focusing on brain connectivity analysis using simultaneous imaging techniques.
Topological Perspectives on Networks
Explore algebraic topology tools for network analysis, focusing on their application in neuroscience to understand structure-function relationships.
Topological Perspectives on Networks
Explore algebraic topology tools for network analysis, focusing on their application in neuroscience to understand structure-function relationships.
PDEs for Neural Assemblies - Analysis, Simulations, and Behavior
Explore PDEs for neural assemblies, analyzing their behavior through simulations and mathematical techniques with Professor Benoît Perthame from Sorbonne University.
Front Initiation in Continuous Neural Fields
Explore front initiation mechanisms in continuous neural fields, examining mathematical models and their applications in neuroscience and cognitive science.
Graph Rules and Topological Insights for Inhibitory Network Dynamics
Explore graph rules and topological insights for inhibitory network dynamics, uncovering mathematical principles behind neural networks.
Marked Point Process Modeling and Estimation Problems in Neural Data Analysis
Explore marked point process modeling and estimation techniques for analyzing neural data, focusing on advanced statistical approaches in neuroscience research.
Beatboxing and Brain Activity: Exploring Vocal Capabilities Through Technology
Explore the fascinating intersection of engineering, beatboxing, and neuroscience as Ball demonstrates vocal techniques and reveals brain activity during musical improvisation.