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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 temporal lobe onset and generalization

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Dr. Rishabh Pathak


Focal seizures with temporal lobe onset that generalize involve seizure activity that begins in the temporal lobe and subsequently spreads to involve both hemispheres of the brain.

1.      Ictal Patterns:

o    The EEG during focal seizures with temporal lobe onset typically shows an initial focal pattern that may evolve into generalized rhythmic activity. This can include an increase in amplitude and the presence of high-frequency rhythms at the temporal electrodes, particularly on the side of the seizure onset.

2.     Clinical Manifestations:

o    Patients may experience a range of symptoms, including alterations in consciousness, memory disturbances, and motor manifestations such as tonic posturing or clonic movements. The initial focal onset may present with specific symptoms related to the temporal lobe, such as auditory hallucinations or emotional changes, before progressing to generalized convulsions.

3.     EEG Characteristics:

o    The ictal pattern often shows an increase in amplitude bilaterally with the onset of the seizure, but the right temporal region may exhibit greater rhythmicity. The EEG may also demonstrate muscle artifact as the seizure progresses, which can obscure the underlying cerebral activity.

4.    Associated Conditions:

o    Focal seizures with temporal lobe onset and generalization can be associated with various conditions, including temporal lobe epilepsy, structural lesions such as hippocampal sclerosis, or tumors. These seizures may also occur in the context of idiopathic epilepsy syndromes.

5.     Diagnosis and Management:

o    Diagnosis typically involves a combination of clinical history, EEG monitoring, and neuroimaging (such as MRI) to identify any underlying structural abnormalities. Management may include antiepileptic medications, and in cases where seizures are refractory to medical treatment, surgical options such as temporal lobectomy may be considered.

6.    Prognosis:

o    The prognosis for patients with focal seizures of temporal lobe onset that generalize can vary based on the underlying cause and the response to treatment. Some patients may achieve good seizure control with medication, while others may require surgical intervention for better outcomes.

In summary, focal seizures with temporal lobe onset and generalization are characterized by specific ictal patterns and a range of clinical manifestations that reflect their origin in the temporal lobe. Understanding these seizures is essential for accurate diagnosis and effective management, particularly in the context of temporal lobe epilepsy.

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