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Energy Manifold Natural Gradient Descent: From Riemannian Optimization to Modern Neuroscience, NeuroAI and Quantum Physics

When Geometry, Energy, Artificial Intelligence and Neuroscience Converge Modern Artificial Intelligence is rapidly moving beyond the idea that learning simply means minimizing an error function. Increasingly, researchers are asking a deeper question: what is the structure of the space in which learning takes place? This question becomes particularly important when the system being modelled is constrained, nonlinear, dynamic, or governed by physical principles. A recent work titled “Energy Manifold Natural Gradient Descent: Riemannian Optimization for Neural PDE Solvers” , by Zhangyong Liang and Huanhuan Gao, introduces Energy Manifold Natural Gradient Descent (EMNGD) , a mathematical framework that extends energy-based natural-gradient optimization from unconstrained Euclidean parameter spaces to constrained Riemannian parameter manifolds . At its core, the framework proposes a simple but powerful principle: An optimization algorithm should not only determine how to reduce error; it sh...

Fourteen and Six Per Second Positive Bursts (Ctenoids) in Different Neurological Conditions


Fourteen and Six Per Second Positive Bursts (Ctenoids) have been observed in various neurological conditions, and their presence can provide insights into the underlying pathophysiology. 

1.     Benign Epileptiform Variants:

o Ctenoids are commonly considered benign epileptiform variants and are frequently observed in healthy individuals, particularly children, during drowsiness or light sleep.

o  They are typically not associated with pathological conditions or epileptic seizures in most cases.

2.   Metabolic Encephalopathy:

o In some cases, an abundance of Ctenoids, especially when accompanied by diffuse slowing and triphasic waves, may indicate metabolic encephalopathy, particularly of hepatic origin.

o The presence of Ctenoids in the context of metabolic disturbances can serve as an indicator of underlying encephalopathic processes.

3.   Pharmacological Effects:

o Certain medications, such as diphenhydramine, have been known to induce Ctenoids, highlighting the importance of considering drug-induced effects when interpreting EEG findings.

4.   Neurodevelopmental Disorders:

oCtenoids have been reported in individuals with neurodevelopmental disorders, although their significance in these conditions may vary.

o Understanding the presence of Ctenoids in the context of neurodevelopmental disorders can aid in comprehensive neurological assessments.

5.    Age-Related Prevalence:

o Ctenoids are more commonly observed in children and may decrease in prevalence with age.

o Their presence in adults, especially in significant abundance, may prompt further evaluation to rule out underlying metabolic encephalopathy or other conditions.

6.   Generalized Epilepsy:

o While Ctenoids are typically benign, they have been reported in individuals with generalized epilepsy, although their role in seizure generation or propagation remains unclear.

o The presence of Ctenoids in the context of epilepsy may require careful evaluation to differentiate them from epileptiform discharges associated with seizure activity.

In summary, while Fourteen and Six Per Second Positive Bursts (Ctenoids) are commonly benign and normal variants in EEG patterns, their occurrence in various neurological conditions underscores the importance of considering their presence in the broader clinical context to interpret their significance accurately.

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