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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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What are the Effects of vision restoration on Brain?

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Dr. Rishabh Pathak


Vision restoration technologies have the potential to induce significant effects on the brain, influencing neural processing, functional connectivity, and cognitive functions. Here are some effects of vision restoration on the brain:

 1. Cortical Reorganization: Vision restoration can lead to cortical reorganization in the brain, especially in areas associated with visual processing. Following sight recovery interventions, such as retinal prostheses or gene therapy, the visual cortex may undergo changes to accommodate the reintroduction of visual input. This reorganization reflects the brain's ability to adapt to restored sensory modalities and optimize neural processing for visual information.

 2. Functional Connectivity: Restoration of vision can impact functional connectivity within the brain, influencing how different regions communicate and interact. Studies have shown that sight recovery interventions can restore or modify connectivity patterns in the visual cortex and other sensory areas, reflecting the brain's ability to reestablish neural networks for processing visual information.

 3. Enhanced Visual Response: Following vision restoration, the brain may exhibit enhanced visual responses in areas associated with visual processing, such as the primary visual cortex. Studies have demonstrated increased activation in visual areas in response to visual stimuli after sight recovery, indicating improved neural responsiveness to restored visual input.

 4. Adaptive Learning and Plasticity: Vision restoration technologies require individuals to adapt to new visual experiences and interpret restored visual information. This process of adaptive learning can induce plastic changes in the brain, facilitating the integration of visual input and the development of visual perception skills. The brain's capacity for plasticity enables individuals to adjust to the restored sensory input and optimize visual processing.

 5. Task-Specific Performance Improvements: Studies on visual prosthetic devices have shown that patients' performance can improve with training, although the extent to which this improvement reflects enhanced perception of the restored visual input is still under investigation. Task-specific learning and practice can lead to improved performance on visual tasks, indicating the brain's ability to adapt to and optimize the use of restored vision.

 6. Quality of Life and Well-being: Beyond neural changes, vision restoration can have profound effects on individuals' quality of life, independence, and well-being. By enhancing visual function and perception, sight recovery interventions can improve daily activities, social interactions, and overall satisfaction with life. The restoration of vision can positively impact mental health, social engagement, and overall well-being in individuals with visual impairments.

 

Understanding the effects of vision restoration on the brain is essential for optimizing the development and implementation of sight recovery technologies, as well as for supporting individuals undergoing vision restoration interventions in achieving the best possible outcomes in terms of neural processing, functional adaptation, and quality of life.

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