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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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Photic Stimulation Responses

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Dr. Rishabh Pathak

Photic Stimulation Responses (PSR) refer to the brain's electrical activity in response to visual stimuli, typically involving flashing lights or strobe lights. 

1.      Description of Photic Driving Response:

§  When a patient is subjected to photic stimulation, such as a flashing strobe light, the EEG may show a characteristic pattern known as a photic driving response. This response is typically a series of sharply contoured, positive, monophasic transients that occur at the frequency of the light stimulation.

2.     Frequency and Amplitude:

§  The frequency of the photic driving response corresponds to the rate of the light flashes. For example, stimulation at 14 Hz can produce a 14-Hz bioccipital driving rhythm, which may show some asymmetry in amplitude across the occipital regions of the brain.

3.     Clinical Significance:

§  Photic stimulation is often used in clinical settings to assess the brain's response to visual stimuli, which can help in diagnosing certain neurological conditions, including epilepsy. Abnormal responses to photic stimulation may indicate a predisposition to seizures, particularly in patients with photosensitive epilepsy.

4.    Types of Responses:

§  The responses can vary based on the individual and the specific parameters of the stimulation. Some patients may exhibit a strong photic driving response, while others may show little to no response. The presence of a robust response can be indicative of normal brain function, while an abnormal response may warrant further investigation.

5.     Applications in EEG Testing:

§  Photic stimulation is a standard part of EEG testing protocols, especially in the evaluation of patients with suspected epilepsy. It helps to elicit and identify potential seizure activity that may not be apparent during baseline recording.

6.    Potential Artifacts:

§  Clinicians must be aware of potential artifacts that can occur during photic stimulation, such as blink artifacts or muscle artifacts, which can complicate the interpretation of the EEG results. Proper electrode placement and technique are essential to minimize these issues.

Summary

Photic Stimulation Responses are an important aspect of EEG testing, providing valuable information about the brain's response to visual stimuli. They can help in diagnosing conditions like epilepsy and assessing the likelihood of photosensitivity. Understanding the characteristics of these responses, including their frequency and amplitude, is crucial for accurate interpretation in clinical practice.

 

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