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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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Dr. Rishabh Pathak

The Food and Drug Administration (FDA) is a regulatory agency within the United States Department of Health and Human Services responsible for protecting and promoting public health by ensuring the safety and efficacy of food, drugs, medical devices, cosmetics, and other products. Here is an overview of the FDA and its key functions:


1.      Regulatory Oversight:

o    The FDA regulates a wide range of products, including:

§  Food: Ensuring the safety and labeling of food products, dietary supplements, and additives.

§Drugs: Evaluating the safety, efficacy, and quality of pharmaceuticals for human use.

§  Medical Devices: Reviewing and approving medical devices to ensure their safety and effectiveness.

§  Biologics: Regulating biological products such as vaccines, blood products, and gene therapies.

§  Cosmetics: Monitoring the safety and labeling of cosmetic products.

§ Tobacco Products: Regulating the manufacturing, distribution, and marketing of tobacco products.

2.     Functions and Responsibilities:

o  Approval Process: The FDA reviews and approves new drugs, medical devices, and biologics through rigorous evaluation of clinical data to ensure their safety and efficacy before they can be marketed and sold to the public.

o Post-Market Surveillance: The FDA monitors products after approval to identify and address safety concerns, adverse events, and product recalls.

o  Labeling and Advertising: The FDA regulates the labeling and advertising of products to ensure accurate information is provided to consumers and healthcare professionals.

o  Inspections and Compliance: The FDA conducts inspections of manufacturing facilities to ensure compliance with regulatory standards and good manufacturing practices.

o  Public Health Education: The FDA provides information to the public about health risks, recalls, and regulatory actions to promote public health and safety.

3.     Drug Development Process:

o  The FDA plays a crucial role in the drug development process by reviewing investigational new drug applications (INDs), new drug applications (NDAs), and abbreviated new drug applications (ANDAs) submitted by pharmaceutical companies.

o  The FDA evaluates preclinical and clinical data to assess the safety and efficacy of new drugs, determining whether they can be approved for marketing and distribution.

4.    International Collaboration:

o    The FDA collaborates with regulatory agencies worldwide to promote global health and harmonize regulatory standards for products that are traded internationally.

oThrough initiatives like the International Conference on Harmonisation (ICH), the FDA works with international partners to streamline regulatory processes and facilitate the development of safe and effective products.

5.     Consumer Protection:

o    The FDA's primary mission is to protect and promote public health by ensuring the safety, efficacy, and security of products under its regulatory purview.

o  By setting and enforcing standards for product quality, manufacturing practices, and labeling, the FDA aims to safeguard consumers from potential health risks and fraudulent products.

In summary, the Food and Drug Administration (FDA) is a regulatory agency that plays a critical role in safeguarding public health by regulating the safety, efficacy, and quality of food, drugs, medical devices, and other products. Through its oversight, approval processes, post-market surveillance, and public health education efforts, the FDA works to ensure that products available to consumers meet established standards and contribute to the well-being of the population.



 

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