Skip to main content

Energy Manifold Natural Gradient Descent: From Riemannian Optimization to Modern Neuroscience, NeuroAI and Quantum Physics

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...

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.



 

Comments

Popular posts from this blog

Cancellous Bone

Cancellous bone, also known as trabecular or spongy bone, is the other main type of bone tissue found in the human skeleton alongside cortical bone. Cancellous bone has a porous and lattice-like structure, providing flexibility, shock absorption, and a site for hematopoiesis (blood cell formation). Here are key features and characteristics of cancellous bone: 1.     Structure : o     Trabeculae : Cancellous bone is composed of a network of thin, bony trabeculae that form an interconnected lattice structure. o     Bone Marrow : The spaces between trabeculae contain red bone marrow, which is involved in the production of blood cells (hematopoiesis). o     Less Compact : Cancellous bone is less dense and compact than cortical bone, with a higher surface area-to-volume ratio. 2.     Composition : o     Trabecular Bone : The trabeculae are made up of lamellae, osteocytes, and canaliculi similar to corti...

Anatomical Classification of Bones

Bones in the human body can be classified into five main anatomical categories based on their shape and structure. These classifications provide insights into the functions and characteristics of different bone types. Here are the five anatomical classifications of bones: 1.     Long Bones : o     Description : Long bones are characterized by their elongated shape, with a shaft (diaphysis) and two expanded ends (epiphyses). o     Examples : Femur, humerus, radius, ulna, tibia, fibula. o     Function : Long bones provide support, leverage, and mobility. They are essential for body movement and weight-bearing activities. 2.     Short Bones : o     Description : Short bones are roughly cube-shaped or have a similar length and width, providing stability and support. o     Examples : Carpals (wrist bones), tarsals (ankle bones). o     Function : Short bones contribute to we...

Review Settings of EEG

The review settings of an EEG recording refer to the parameters that can be adjusted to optimize the visualization and interpretation of electrical brain activity. Here is an overview of the key review settings in EEG analysis: 1.       Amplification (Gain/Sensitivity) : o Definition : Amplification, also known as gain or sensitivity, determines how much the electrical signals from the brain are amplified before being displayed on the EEG recording. o Measurement : Typically measured in microvolts per millimeter (μV/mm). o Impact : Adjusting the amplification setting can affect the visibility of high-amplitude and low-amplitude activity. High-amplitude activity may require vertical compression to fit within the display range, while low-amplitude activity may require lower sensitivity settings for better visualization. 2.      Frequency Filtering : o Bandpass : The frequency range within which EEG signals are analyzed. Common settings include ...

Frontal–central - Beta Activity

Frontal-central beta activity in EEG recordings refers to a specific pattern of beta waves that are predominantly observed in the frontal and central regions of the brain. Description : o   Frontal-central beta activity is characterized by increased beta waves present diffusely, with a buildup of greater beta activity specifically in the frontal-central regions. o   This pattern may be accompanied by generalized theta activity, which can be more visible when the beta activity declines. 2.      Frequency Range : o   Frontal-central beta activity typically falls within the beta frequency range, which is defined as 13 Hz or greater in EEG recordings. o   The frequency of frontal-central beta activity tends to be within the narrower range of 20 to 30 Hz, with variations in frequency observed based on age and state of consciousness. 3.      State Dependency : o    Frontal-central beta activity is considered state-dependent...

Composition of Bone Tissue

Bone tissue is a complex and dynamic connective tissue composed of various components that contribute to its structure, strength, and functionality. The composition of bone tissue includes: 1.     Cells : o     Osteoblasts : Bone-forming cells responsible for synthesizing and depositing the organic matrix of bone. o     Osteocytes : Mature bone cells embedded in the bone matrix, involved in maintaining bone tissue and responding to mechanical stimuli. o     Osteoclasts : Bone-resorbing cells responsible for breaking down and remodeling bone tissue. 2.     Organic Matrix : o     Collagen Fibers : Type I collagen is the predominant protein in the organic matrix of bone, providing flexibility, tensile strength, and resilience to bone tissue. o     Non-Collagenous Proteins : Include osteocalcin, osteopontin, and osteonectin, which play roles in mineralization, cell adhesion, and matrix o...