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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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Genetic Development Disorders

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Dr. Rishabh Pathak

Genetic developmental disorders are conditions that arise from abnormalities in an individual's genetic makeup and can impact various aspects of development, including physical, cognitive, and behavioral domains. 

1.     Definition:

    • Genetic developmental disorders are conditions that result from genetic mutations or abnormalities in the individual's DNA.
    • These disorders can affect the normal development and functioning of various bodily systems, leading to a wide range of physical, cognitive, and behavioral symptoms.

2.     Causes:

    • Genetic developmental disorders are caused by alterations in the individual's genetic material, which can be inherited from parents or occur spontaneously due to new mutations.
    • These genetic changes can disrupt normal developmental processes, leading to structural, functional, or regulatory abnormalities in the body.

3.     Types of Disorders:

    • Genetic developmental disorders encompass a broad spectrum of conditions, including chromosomal disorders (e.g., Down syndrome), single gene disorders (e.g., cystic fibrosis), and complex genetic disorders (e.g., autism spectrum disorders).
    • These disorders can manifest in infancy, childhood, or later in life, affecting various aspects of physical health, cognitive abilities, and social functioning.

4.     Clinical Presentation:

    • The clinical presentation of genetic developmental disorders varies widely depending on the specific genetic mutation and its effects on development.
    • Symptoms may include intellectual disabilities, physical abnormalities, sensory impairments, behavioral challenges, and susceptibility to certain medical conditions.

5.     Diagnosis and Management:

    • Diagnosing genetic developmental disorders often involves genetic testing, clinical assessments, and medical evaluations to identify the underlying genetic cause.
    • Management strategies for these disorders may include early intervention services, medical treatments, behavioral therapies, and supportive care to address the individual's specific needs and optimize their development and quality of life.

In summary, genetic developmental disorders are conditions that result from genetic abnormalities and can impact various aspects of development. Understanding the genetic basis of these disorders is essential for accurate diagnosis, personalized treatment approaches, and ongoing support for individuals and families affected by these conditions.

 

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