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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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How do early sensory, motor, and language experiences impact brain plasticity in development?

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Dr. Rishabh Pathak

Early sensory, motor, and language experiences play a crucial role in shaping brain plasticity during development. These experiences influence the formation and refinement of neural connections, ultimately impacting various aspects of brain function. Here is how each type of experience impacts brain plasticity:


1.     Sensory Experiences: Sensory experiences, such as exposure to different stimuli like touch, sound, and visual input, are essential for the development of sensory systems in the brain. During early development, sensory experiences help to establish and strengthen neural pathways related to sensory processing. For example, exposure to a variety of sensory stimuli can lead to the refinement of sensory maps in the brain, enhancing sensory perception and discrimination abilities.


2. Motor Experiences: Motor experiences, including movement and physical interactions with the environment, are critical for the development of motor skills and coordination. Engaging in various motor activities helps to stimulate the growth of motor-related brain regions and the formation of neural circuits involved in motor control. Through repetitive motor experiences, the brain undergoes structural and functional changes that support the acquisition and refinement of motor skills.


3.  Language Experiences: Language experiences, such as exposure to speech sounds and communication interactions, are fundamental for the development of language processing areas in the brain. During early development, the brain is highly plastic and responsive to language input. Through exposure to language, neural circuits involved in language comprehension, production, and communication are established and refined. Language experiences shape the organization of language-related brain regions and influence language development throughout life.


In summary, early sensory, motor, and language experiences have a profound impact on brain plasticity in development by shaping neural circuits, enhancing sensory processing, improving motor skills, and facilitating language acquisition. These experiences contribute to the structural and functional changes in the brain that underlie the development of various cognitive and behavioral abilities.

 

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