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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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Functional Brain Network Alterations in Response to Blindness and Sight Restoration

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Dr. Rishabh Pathak

 


Functional brain network alterations in response to blindness and sight restoration involve complex changes in neural connectivity, network organization, and information processing. Here are some key points regarding functional brain network alterations in response to blindness and sight restoration based on the provided information:

 1. Effect of Blindness on Functional Connectivity:

   - Blindness, whether congenital, early-onset, or late-onset, can lead to significant alterations in functional connectivity within the brain. Studies have shown that visual deprivation can weaken connectivity within the visual cortex and between the visual cortex and other sensory, motor, and association regions.

   - Resting-state functional connectivity studies have demonstrated decreased connectivity between primary visual areas (V1 and V2) and somatosensory, auditory, motor, and association areas in individuals with blindness, reflecting the impact of visual loss on neural communication and network dynamics.

 2. Whole-Brain Functional Connectivity Analysis:

   - Research has focused on examining whole-brain functional connectivity changes in response to blindness and sight restoration. Studies have utilized ROI-ROI functional connectivity analysis and graph theory measures to investigate how visual deprivation and sight recovery interventions influence neural network connectivity and organization.

   - Functional brain network alterations following blindness may involve changes in connectivity patterns between visual areas, sensory regions, motor cortex, and higher-order association areas. These alterations reflect the brain's adaptive responses to visual deprivation and the reorganization of neural networks to compensate for the loss of vision.

 3. Impact of Sight Restoration on Brain Networks:

   - Sight restoration interventions, such as retinal prostheses or gene therapy, can induce changes in functional brain networks by reintroducing visual input and stimulating visual processing areas. Studies have shown that restoring vision can enhance functional connectivity in the visual cortex and promote adaptive neural responses to the reintroduction of visual stimuli.

   - Functional brain network alterations following sight restoration may include enhanced visual responses, improved connectivity between visual areas, and adaptive learning processes that facilitate the integration of restored visual input into existing neural circuits. These changes reflect the brain's plasticity and capacity to adapt to restored sensory modalities.

 4. Implications for Rehabilitation and Technology Development:

   - Understanding functional brain network alterations in response to blindness and sight restoration is crucial for developing effective rehabilitation strategies and optimizing vision restoration technologies. By elucidating how visual deprivation and sight recovery interventions impact neural connectivity and network dynamics, researchers can enhance the design of interventions aimed at improving visual function and quality of life in individuals with visual impairments.

 

Overall, functional brain network alterations in response to blindness and sight restoration involve dynamic changes in neural connectivity and network organization, reflecting the brain's adaptive responses to visual deprivation and the reintroduction of visual input through sight recovery interventions. Studying these alterations provides valuable insights into the neural mechanisms underlying vision loss and restoration, with implications for clinical rehabilitation and the development of innovative therapies for individuals with visual impairments.

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