Data & Analytics

EEG基础模型的诊断审计方法论 - 揭示EEG基础模型在高准确率背后可能隐藏的主体身份特征陷阱，提出系统性评估框架区分真实临床生物标志物与主体识别特征。

Tensor-based framework for higher-order Markov chains with memory on hypergraphs. Use when modeling complex systems with group interactions, memory effects, non-pairwise connections, or analyzing higher-order networks. Keywords: hypergraph, Markov chains, memory, tensor, higher-order networks, complex systems, random walks.

Hyperbolic Graph Convolutional Network (Brain-HGCN) for brain functional network analysis using Lorentz model and signed aggregation for excitatory/inhibitory connections. Activation triggers: hyperbolic GNN, brain network, fMRI analysis, geometric deep learning, Lorentz model.

Hybrid quantum-classical neural network for quantum phase recognition - jointly trains shallow parameterized quantum circuit with classical neural network, reduces sample complexity by ~10x, distinguishes topological phases on superconducting hardware

Hybrid quantum-classical neural network architecture for sample-efficient topological phase recognition. Uses shallow parameterized quantum circuits for nonlocal measurement basis transformation, jointly trained with classical neural networks, reducing sample complexity by ~10x.

Hybrid biophysical neuron modeling combining Neural ODEs with conductance-based models. Embeds data-driven Neural ODE components into mechanistic neuron models, capturing unknown ion channel kinetics while preserving interpretability. Enables 10x computational reduction of multi-compartment neurons.

Hybrid Quantum-Classical Neural Network (HQNN) methodology for medical image classification, specifically blood cell classification. Combines pre-trained classical backbone (ResNet-50) with variational quantum circuit for enhanced feature representation. Use when: (1) medical image classification with limited data, (2) hybrid quantum-classical ML pipeline design, (3) comparing quantum vs classical feature transformations, (4) NISQ-era quantum advantage in medical imaging. Activation: HQNN, hy...

Homology-based Morphometry (HBM) methodology for analyzing brain atrophy using persistent homology. Two complementary pipelines for quantifying multiscale geometric features of structural T1-weighted MRI scans: Pipeline 1 for regional thinning via Euclidean distance transform, Pipeline 2 for structural similarity via α-filtrations. Use for Alzheimer's disease detection, longitudinal brain change tracking, and topological biomarker extraction. Keywords: brain atrophy, persistent homology, TDA,...

Homology-based morphometry methods for analyzing brain atrophy using topological data analysis. Activation triggers: homology morphometry, brain atrophy, topological neuroimaging, persistent homology brain, TDA neuroimaging

Extracting interpretable higher-order topological features across multiple scales for Alzheimer's Disease classification using persistent homology. Captures connected components, cycles, and cavities from fMRI brain networks. Activation: higher-order topology, Alzheimer classification, persistent homology, brain network topology, topological features.

Methodology for extracting high-order functional brain network structures beyond pairwise connections under global constraints. Addresses theoretical limitations of pairwise FBN modeling. Activation: higher-order brain networks, beyond pairwise, global constraints, FBN limitations.

Higher-order brain network analysis using topological signal processing. Captures circulatory and multi-node interactions beyond pairwise graph models.. Activation: higher-order networks, topological signal processing, brain connectomics.

Parallelized Hierarchical Connectome (PHC) framework that upgrades temporal State-Space Models into spatiotemporal recurrent networks for brain connectivity modeling.. Activation: hierarchical connectome, state-space models, spatiotemporal.

GTaS Generative Spike Train Model

Inter-areal predictive coding for gradient-free continual learning in spiking neural networks. Brain-inspired learning rule using feedback connections to transmit prediction errors without backpropagation. Keywords: gradient-free learning, continual learning, predictive coding, inter-areal, SNN, catastrophic forgetting, bio-inspired.

Geometric Stability of Neural Population Codes methodology - Shesha metric quantifying pairwise distance structure reproducibility across split-half RDMs, dissociable from temporal stability and decoding accuracy. Use when analyzing representational reliability beyond centroid drift, comparing brain regions, or modeling attractor-network mechanisms for RDM consistency. Activation: geometric stability, Shesha, split-half RDM, representational dissimilarity, neural population code, striatum hip...

Geometric origin of exact mean-field reductions using Möbius symmetry and the Lorentzian Ansatz — proving the Cauchy-Lorentz family uniquely emerges as invariant under projective transport, unifying Ott-Antonsen and Montbrió-Pazó-Roxin reductions.

Geometric Basis Functions (GBF) framework for noninvasive whole human brain dynamics mapping using participant-specific eigenmodes derived from cortical geometry. Use when working with EEG/MEG source imaging, brain dynamics reconstruction, neuroimaging inverse problems, or cortical geometry-based neural activity mapping. Enables high-fidelity spatiotemporal reconstruction of neural sources using geometric constraints.

Geometric Basis Functions (GBF) methodology for noninvasive whole human brain dynamics mapping using participant-specific cortical eigenmodes. Reconstructs whole-brain spatiotemporal dynamics from EEG/MEG with anatomically-constrained source imaging. Activation - geometric basis functions, GBF, brain dynamics, source imaging, cortical geometry, EEG/MEG reconstruction.

Genetic and environmental architecture of human functional connectome using extended twin modeling. Separates measurement error from non-shared environment to estimate true connectivity heritability. Keywords: functional connectome, twin modeling, heritability, genetic architecture, brain connectivity.

Functional ensembles as units of computation in deep spiking networks. First-order functionally-connected (1FC) groups based on pairwise correlations, aggregate cofiring predicts downstream responses, ReLU-like input-output relationship with ensemble-size scaling, rare high-coordination events encode information. Activation: functional ensemble, SNN computation, functional connectivity, 1FC group, ensemble cofiring, deep spiking network analysis.

Functional Ensembles as Units of Computation in Deep Spiking Networks. 1FC (first-order functionally-connected) ensembles framework for analyzing information encoding in SNNs through rare coordinated firing events.

**arXiv ID:** 2412.15279 **Authors:** Tananun Songdechakraiwut, Yutong Wu **Published:** 2024-12-18T03:46:30Z **Abstract:** The human brain is a complex system, and understanding its mechanisms has been a long-standing challenge in neuroscience. The study of the functional connectome, which maps the functional connections between different brain regions, has provided valuable insights through various advanced analysis techniques developed over the years. Similarly, neural networks, inspired b...

Statistical benchmarking methodology for EEG motor-imagery BCI decoders using Friedman-Nemenyi tests. Proves no single decoding pipeline dominates across subjects — personalized model selection adds ~7% accuracy over best fixed choice. Use when evaluating BCI decoders, comparing multi-classifier performance, or designing subject-aware BCI systems.