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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 is cross-model plasticity in blindness?

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Dr. Rishabh Pathak

 


Cross-modal plasticity in blindness refers to the phenomenon where the brain undergoes adaptive changes in response to the loss of vision by reallocating resources and neural processing to non-visual sensory modalities, such as touch and hearing. This adaptive reorganization leads to the functional integration of different sensory systems in the brain, even at the level of the primary sensory cortex (V1), which is traditionally associated with visual processing.

Key aspects of cross-modal plasticity in blindness include:

1. Recruitment of Visual Cortex: In the absence of visual input, areas of the visual cortex may become recruited for processing information from other sensory modalities, such as tactile or auditory stimuli. This recruitment reflects the brain's ability to repurpose visual regions for non-visual functions, demonstrating the flexibility and adaptability of neural circuits in response to sensory deprivation.

2. Enhanced Processing of Non-Visual Inputs: Cross-modal plasticity leads to enhanced processing of non-visual sensory information in blind individuals. For example, studies have shown that blind individuals may exhibit heightened tactile acuity or auditory discrimination abilities as a result of neuroplastic changes in the brain. This enhanced sensory processing reflects the brain's ability to compensate for the loss of vision by allocating resources to remaining sensory modalities.

3. Performance Enhancement: The adaptive reorganization of sensory processing pathways through cross-modal plasticity can result in performance enhancements in non-visual tasks. For instance, blind individuals may demonstrate superior auditory localization skills or tactile discrimination abilities compared to sighted individuals, highlighting the functional benefits of cross-modal plasticity in optimizing sensory processing and perception.

4. Experience-Dependent Effects: Cross-modal plasticity in blindness can be influenced by factors such as early exposure to tactile or auditory stimuli. For example, learning Braille at a young age has been associated with increased tactile-induced visual responses, indicating that early sensory experiences can shape the degree of cortical reorganization and sensory processing enhancements in blind individuals.

 


Overall, cross-modal plasticity in blindness reflects the brain's remarkable ability to adapt to sensory deprivation by reorganizing neural circuits and integrating information from different sensory modalities. Understanding the mechanisms underlying cross-modal plasticity is crucial for developing interventions and rehabilitation strategies that leverage the brain's adaptive capabilities to optimize sensory function and quality of life in individuals with visual impairments.

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