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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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What are the Gamma band EEG responses from infants shows evidences of perceptual binding from atleast 8 months?

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Dr. Rishabh Pathak

The article discusses gamma band EEG responses from infants that show evidence of perceptual binding from at least 8 months of age. 

1.     Gamma Band EEG Responses:

  • Gamma band EEG responses refer to neural oscillations in the gamma frequency range (around 40 Hz) that are measured using electroencephalography (EEG).
  • Gamma band activity is associated with various cognitive processes, including perceptual binding, attention, and memory encoding.

2.     Perceptual Binding:

  • Perceptual binding is the process by which the brain integrates different sensory features into a coherent perceptual experience of a single object or scene.
  • It involves the binding together of distinct features, such as color, shape, and motion, into a unified representation.

3.     Evidence of Perceptual Binding in Infants:

  • The article mentions that gamma band EEG responses from infants provide evidence of perceptual binding from at least 8 months of age.
  • Time-frequency plots of EEG data show characteristic gamma bursts at around 280 ms after stimulus onset, similar to those observed in adults.
  • These gamma bursts are evident when infants are presented with stimuli that require the integration of spatially separate features to form a unitary object.
  • The presence of gamma band responses in infants suggests that they are capable of perceptual binding, indicating a level of neural processing associated with integrating visual information into coherent percepts.

4.     Developmental Milestone:

  • The emergence of gamma band EEG responses indicative of perceptual binding in infants by at least 8 months of age represents a developmental milestone in visual processing and perceptual integration.
  • This finding highlights the maturation of neural mechanisms involved in binding together different visual features to perceive objects as unified entities.

In summary, gamma band EEG responses from infants showing evidence of perceptual binding from at least 8 months of age indicate the development of neural processes associated with integrating visual information into coherent percepts. This milestone in perceptual development reflects the maturation of brain mechanisms involved in binding together distinct sensory features to form a unified perceptual experience.

 

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