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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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The Presence of a pre-stretch and aging

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Dr. Rishabh Pathak

The presence of a prestretch, also known as the stretch-shortening cycle, and its relationship to aging can have significant implications for muscle function, performance, and injury risk. Here are some key points regarding the presence of a prestretch and its effects on aging:

1. Prestretch and Muscle Function:

  • The prestretch refers to the rapid lengthening of a muscle before it contracts, allowing for the storage of elastic energy.
  • This stretch-shortening cycle is a critical mechanism for enhancing muscle performance, power output, and efficiency during dynamic movements like jumping, running, and throwing.
  • The prestretch enables muscles to generate greater force and power by utilizing the stored elastic energy from the stretch phase.

2. Effects of Aging on Prestretch:

  • With aging, there is a natural decline in muscle elasticity, strength, and power, which can affect the effectiveness of the prestretch mechanism.
  • Older adults may experience reduced muscle stiffness and slower rates of force development, impacting their ability to utilize the stretch-shortening cycle efficiently.
  • Age-related changes in muscle tissue, such as decreased collagen content and muscle mass, can impair the storage and release of elastic energy during the prestretch phase.

3. Impact on Performance:

  • The presence of a prestretch is crucial for activities that require rapid and explosive movements, such as sprinting, jumping, and agility tasks.
  • Aging-related changes in muscle function and the prestretch mechanism can lead to decreased performance in power-based activities and sports that rely on quick, forceful movements.
  • Older individuals may experience challenges in generating high levels of force and power due to alterations in muscle-tendon function and neuromuscular coordination associated with aging.

4. Injury Risk:

  • The ability to effectively utilize the prestretch can influence injury risk during physical activities.
  • Impaired prestretch function in aging individuals may lead to compensatory movement patterns, reduced muscle coordination, and increased susceptibility to musculoskeletal injuries, such as strains, sprains, and falls.
  • Age-related changes in muscle elasticity and neuromuscular control can impact the body's ability to absorb and dissipate forces, potentially increasing the risk of injury during dynamic movements.

5. Training Considerations:

  • Exercise programs that target muscle power, speed, and neuromuscular coordination can help mitigate the effects of aging on the prestretch mechanism.
  • Incorporating plyometric exercises, resistance training, and agility drills can improve muscle function, enhance the stretch-shortening cycle, and maintain or enhance performance in older adults.
  • Proper warm-up routines and movement preparation strategies can optimize the prestretch response and reduce the risk of injury during physical activity.

In conclusion, the presence of a prestretch plays a vital role in muscle function, power generation, and movement efficiency, particularly during dynamic activities. Aging-related changes in muscle properties and neuromuscular function can impact the effectiveness of the prestretch mechanism, affecting performance and injury risk in older individuals. Understanding the relationship between the prestretch and aging can inform exercise interventions and training strategies aimed at preserving muscle function, enhancing performance, and reducing injury risk in the aging population.

 

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