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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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Abnormal Synaptic Homeostasis in Autism Spectrum Disorders

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Dr. Rishabh Pathak

Abnormal synaptic homeostasis is a key feature observed in individuals with autism spectrum disorders (ASD), contributing to the cognitive and behavioral impairments associated with the condition. Here is an overview of the abnormal synaptic homeostasis in ASD:


1.      Synaptic Dysfunction in Autism:

o    Excitatory-Inhibitory Imbalance: Individuals with ASD often exhibit an imbalance between excitatory and inhibitory neurotransmission, leading to altered synaptic activity and neural circuit function. This imbalance can affect information processing, sensory integration, and cognitive functions in individuals with ASD [T10].

o    Altered Synaptic Plasticity: Impairments in synaptic plasticity mechanisms, such as long-term potentiation (LTP) and long-term depression (LTD), have been reported in ASD. Dysregulation of synaptic plasticity can impact learning and memory processes, as well as social and communication skills in individuals with ASD [T11].

o    Synaptic Pruning Abnormalities: Atypical synaptic pruning, the process by which unnecessary synapses are eliminated during development, has been observed in ASD. Disruptions in synaptic pruning can lead to aberrant connectivity patterns, altered neural networks, and impaired information processing in the brain [T12].

2.Molecular Mechanisms Underlying Abnormal Synaptic Homeostasis:

o Dysregulation of Synaptic Proteins: Mutations in genes encoding synaptic proteins, such as neuroligins, neurexins, and Shank family proteins, have been implicated in ASD. Alterations in these synaptic proteins can disrupt synaptic structure, function, and plasticity, contributing to abnormal synaptic homeostasis in individuals with ASD [T13].

oAltered Neurotransmitter Systems: Dysfunctions in neurotransmitter systems, including glutamate, GABA, serotonin, and dopamine, have been linked to synaptic abnormalities in ASD. Imbalances in neurotransmission can affect synaptic signaling, neuronal excitability, and synaptic plasticity mechanisms in individuals with ASD [T14].

oImmune-Mediated Synaptic Dysfunction: Immune dysregulation and neuroinflammation have been associated with synaptic abnormalities in ASD. Immune-mediated synaptic dysfunction can lead to synaptic pruning deficits, altered synaptic connectivity, and impaired neural communication in individuals with ASD [T15].

3.     Therapeutic Implications:

oTargeting Synaptic Function: Therapeutic strategies aimed at modulating synaptic function and plasticity, such as NMDA receptor modulators, GABAergic agents, and synaptic protein regulators, may help restore synaptic homeostasis and improve cognitive and behavioral outcomes in individuals with ASD [T16].

oNeurotransmitter Modulation: Pharmacological interventions targeting neurotransmitter systems implicated in synaptic dysfunction, such as glutamatergic and GABAergic signaling, could potentially normalize synaptic activity and neural circuit function in individuals with ASD [T17].

oImmune Modulation: Approaches aimed at modulating immune responses and reducing neuroinflammation may help mitigate immune-mediated synaptic dysfunction and restore synaptic homeostasis in individuals with ASD [T18].

In conclusion, understanding and addressing the abnormal synaptic homeostasis in Autism Spectrum Disorders is crucial for developing targeted interventions that can improve synaptic function, neural connectivity, and cognitive outcomes in individuals with ASD. By targeting molecular mechanisms, neurotransmitter imbalances, and immune-mediated synaptic dysfunction, researchers and clinicians aim to restore synaptic homeostasis and enhance the quality of life for individuals affected by ASD.

 

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