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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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Focal seizure with mesial temporal onset

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Dr. Rishabh Pathak


Focal seizures with mesial temporal onset are a specific type of focal seizure that originates in the mesial (medial) temporal lobe of the brain.

1.      Ictal Patterns:

o  The ictal patterns associated with mesial temporal seizures often include rhythmic slowing that evolves into well-formed rhythmic activity. This can manifest as a phase-reversing rhythm on the EEG, typically observed in the temporal region.

2.     Clinical Manifestations:

o  Patients experiencing focal seizures with mesial temporal onset may exhibit a range of clinical symptoms, including staring, manual and oral automatisms, and impaired awareness. These seizures can lead to alterations in consciousness, which may not always be recognized by observers.

3.     EEG Characteristics:

o  The EEG findings during these seizures may show a progression from diffuse slowing to more organized rhythmic activity, often with a frequency that can increase over time. The presence of phase reversals in the temporal leads is a notable feature.

4.    Associated Conditions:

o  Mesial temporal seizures are commonly associated with structural abnormalities such as hippocampal sclerosis, which is a frequent finding in patients with temporal lobe epilepsy. This structural change can be identified histopathologically following surgical resection for epilepsy.

5.     Diagnosis and Management:

o Accurate diagnosis of mesial temporal seizures often requires a combination of clinical assessment, EEG monitoring, and imaging studies (such as MRI) to identify any underlying structural abnormalities. Management may include antiepileptic medications, and in some cases, surgical intervention may be considered for refractory seizures.

6.    Prognosis:

o  The prognosis for patients with mesial temporal seizures can vary. Some may respond well to medical treatment, while others may continue to experience seizures despite therapy. Surgical options may provide significant relief for those with localized epilepsy due to mesial temporal lobe pathology.

In summary, focal seizures with mesial temporal onset are characterized by specific ictal patterns and clinical features that reflect their origin in the temporal lobe. Understanding these seizures is crucial for effective diagnosis and management, particularly in the context of temporal lobe epilepsy.

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