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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 occipital onset

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Dr. Rishabh Pathak


 

Focal seizures with occipital onset originate in the occipital lobe, which is primarily responsible for visual processing.

1.      Ictal Patterns:

o    The EEG findings during focal seizures with occipital onset typically show diphasic sharp waves that may evolve into rhythmic activity. This rhythmic activity can become more pronounced over time, often encompassing bilateral posterior head regions while remaining localized to the occipital area.

2.     Clinical Manifestations:

o Patients experiencing occipital seizures may present with visual symptoms, such as visual hallucinations, flashes of light, or other visual distortions. These seizures can also lead to eye movements, such as eyelid flutter or upward gaze, which are common manifestations of occipital lobe involvement.

3.     EEG Characteristics:

o The ictal pattern in occipital seizures is characterized by phase reversals at the occipital electrodes, particularly at O1 and O2. The rhythmic activity may spread to adjacent regions but typically does not extend to frontal or central areas.

4.    Associated Conditions:

o  Focal seizures with occipital onset can be associated with various conditions, including structural lesions such as cortical dysplasia, tumors, or post-traumatic changes in the occipital lobe. In some cases, these seizures may occur in the context of idiopathic occipital lobe epilepsy.

5.     Diagnosis and Management:

o  Diagnosis often 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 may be considered.

6.    Prognosis:

o  The prognosis for patients with occipital seizures 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 more intensive interventions.

In summary, focal seizures with occipital onset are characterized by specific ictal patterns and clinical features related to visual disturbances. Understanding these seizures is essential for accurate diagnosis and effective management, particularly in the context of occipital lobe epilepsy.

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