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

Dr. Rishabh Pathak
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...
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The Endocannabinoid System: Novel Therapeutic Opportunities in Brain Repair?

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Dr. Rishabh Pathak

The endocannabinoid system presents novel therapeutic opportunities in brain repair due to its role in neuroprotection, neurogenesis, and synaptic plasticity. Here are key points highlighting the potential of the endocannabinoid system for brain repair:

1.      Neuroprotection:

oEndocannabinoids, such as anandamide and 2-arachidonoylglycerol (2-AG), have neuroprotective properties by reducing excitotoxicity, inflammation, and oxidative stress in the brain.

oActivation of cannabinoid receptors (CB1 and CB2) by endocannabinoids can promote neuronal survival and protect against neuronal damage in various neurological conditions.

2.     Neurogenesis:

oThe endocannabinoid system plays a crucial role in regulating neurogenesis, the process of generating new neurons in the brain.

oEndocannabinoids can modulate neural stem cell proliferation, differentiation, and migration, contributing to the repair and regeneration of neural tissue.

3.     Synaptic Plasticity:

oEndocannabinoids are involved in synaptic plasticity, the ability of synapses to adapt and reorganize in response to experience and injury.

oModulation of the endocannabinoid system can influence synaptic transmission, synaptic strength, and the formation of new synaptic connections, which are essential for brain repair.

4.    Inflammation and Immune Response:

oThe endocannabinoid system regulates immune responses and inflammatory processes in the brain.

oActivation of cannabinoid receptors can modulate microglial activation, cytokine production, and neuroinflammation, which are implicated in various neurodegenerative disorders.

5.     Neurological Disorders:

oTargeting the endocannabinoid system has shown promise in preclinical studies for treating neurological disorders such as stroke, traumatic brain injury, multiple sclerosis, and Alzheimer's disease.

oCannabinoids and modulators of the endocannabinoid system have demonstrated neuroprotective and anti-inflammatory effects in experimental models of brain injury and neurodegeneration.

6.    Therapeutic Potential:

oManipulating the endocannabinoid system through pharmacological agents or lifestyle interventions may offer therapeutic benefits for promoting brain repair and recovery after injury or disease.

oResearch into cannabinoid-based therapies for neuroprotection, neuroregeneration, and cognitive enhancement is ongoing, with the aim of developing novel treatments for brain disorders.

In conclusion, the endocannabinoid system presents exciting opportunities for promoting brain repair through its effects on neuroprotection, neurogenesis, synaptic plasticity, and inflammation. Harnessing the therapeutic potential of the endocannabinoid system may lead to innovative strategies for enhancing brain repair and functional recovery in various neurological conditions.

 

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