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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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Are there any potential side effects or limitations to consider when using Vitamin C as a treatment for malignant melanoma?

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Dr. Rishabh Pathak

 


When using Vitamin C as a treatment for malignant melanoma, it is important to consider potential limitations and side effects. Some limitations include the lack of in vivo factors in in vitro studies, which may not fully represent biological interactions in real patients. Additionally, the studies mentioned in the review article were conducted in stimulating environments rather than in actual patients, which could affect the translation of results to clinical practice.

As for side effects, while Vitamin C has shown promising anti-tumor effects in melanoma cells, further research is needed to fully understand its efficacy and safety in real patients. It is crucial to conduct more studies to investigate Vitamin C's role in transforming the genetic nature of melanoma and to evaluate its potential side effects when used as an adjuvant therapy.

Osman, H. O., Thomas, N. E., Udekwe, S., Habashy, S., Jafri, A., & Heindl, S. E. (2021). Contribution of Vitamin C in the Treatment of Malignant Melanoma. Fortune Journal of Health Sciences, 4(3), 383-393. https://doi.org/10.26502/fjhs.029

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