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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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Psychoactive Drugs in Brain Development

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Dr. Rishabh Pathak

Psychoactive drugs can have significant effects on brain development, altering neural structure, function, and behavior. Here is an overview of the impact of psychoactive drugs on brain development:


1.     Neuronal Structure:

o Exposure to psychoactive drugs, including alcohol, nicotine, benzodiazepines, and antidepressants, can lead to structural changes in the brain, affecting neuronal morphology, dendritic arborization, and synaptic connectivity.

o    Chronic administration of psychoactive drugs during critical periods of brain development can disrupt normal neurodevelopmental processes, leading to aberrations in dendritic spines, synaptic plasticity, and neuronal architecture.

2.     Cognitive and Motor Behaviors:

o    Prenatal exposure to psychoactive drugs has been associated with cognitive impairments, motor deficits, and behavioral abnormalities in both animal models and human studies.

o    The effects of psychoactive drugs on brain development can manifest as learning difficulties, memory deficits, attentional problems, and motor coordination impairments, reflecting the impact of drug-induced neurochemical changes on cognitive and motor functions.

3.     Neurochemical Alterations:

o    Psychoactive drugs exert their effects on brain development by modulating neurotransmitter systems, neurotrophic factors, and intracellular signaling pathways that regulate neuronal growth, synaptic plasticity, and neural circuitry.

o    Changes in dopaminergic, serotonergic, glutamatergic, and GABAergic neurotransmission induced by psychoactive drugs can disrupt the delicate balance of neurochemical signaling in the developing brain, leading to long-lasting effects on behavior and cognition.

4.     Developmental Plasticity:

o    Early exposure to psychoactive drugs can interfere with normal brain plasticity mechanisms, impairing the ability of the brain to adapt to environmental stimuli, learn new information, and form stable neural connections.

o    The disruption of developmental plasticity by psychoactive drugs may result in persistent alterations in brain structure, function, and behavior, contributing to the vulnerability of the developing brain to substance-induced neurotoxicity.

5.     Long-Term Consequences:

o    The impact of psychoactive drugs on brain development can have long-term consequences, affecting cognitive performance, emotional regulation, and mental health outcomes in individuals exposed to drugs during critical periods of neurodevelopment.

o    Understanding the neurobiological effects of psychoactive drugs on brain development is essential for developing strategies to mitigate drug-induced neurotoxicity, support healthy brain maturation, and promote optimal cognitive and behavioral outcomes in at-risk populations.

By elucidating the mechanisms through which psychoactive drugs influence brain development, researchers can identify potential targets for intervention, prevention, and treatment of drug-related neurodevelopmental disorders, highlighting the importance of promoting drug-free environments for optimal brain health and development.

 

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