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Uncertainty in Multiclass Classification

Dr. Rishabh Pathak
1. What is Uncertainty in Classification? Uncertainty refers to the model’s confidence or doubt in its predictions. Quantifying uncertainty is important to understand how reliable each prediction is. In multiclass classification , uncertainty estimates provide probabilities over multiple classes, reflecting how sure the model is about each possible class. 2. Methods to Estimate Uncertainty in Multiclass Classification Most multiclass classifiers provide methods such as: predict_proba: Returns a probability distribution across all classes. decision_function: Returns scores or margins for each class (sometimes called raw or uncalibrated confidence scores). The probability distribution from predict_proba captures the uncertainty by assigning a probability to each class. 3. Shape and Interpretation of predict_proba in Multiclass Output shape: (n_samples, n_classes) Each row corresponds to the probabilities of ...
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Neuro-Computational Model of Cortical Growth

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Dr. Rishabh Pathak

A neuro-computational model of cortical growth integrates principles from neuroscience and computational modeling to study the development of the cerebral cortex, the outer layer of the brain responsible for higher cognitive functions. Here are the key aspects of a neuro-computational model of cortical growth:


1. Biologically Realistic Representation: The model incorporates biologically realistic features of cortical development, such as neuronal migration, synaptogenesis, and dendritic arborization. By simulating these processes computationally, researchers can study how neural activity and connectivity influence cortical growth.


2. Neuroanatomical Constraints: The model considers neuroanatomical constraints, such as the presence of radial glial cells and the formation of cortical layers, to accurately represent the structural organization of the developing cortex. By incorporating these constraints, the model can capture the spatiotemporal dynamics of cortical growth.


3. Neuronal Connectivity: The model accounts for the establishment of neuronal connections within the cortex, including the formation of local circuits and long-range connections. By simulating the growth of axonal and dendritic arbors, researchers can study how connectivity patterns emerge during cortical development.


4. Activity-Dependent Plasticity: The model incorporates activity-dependent mechanisms of synaptic plasticity, such as Hebbian learning rules, to simulate how neural activity influences the refinement of cortical circuits. By considering the role of activity in shaping connectivity patterns, the model can elucidate the impact of sensory experience on cortical growth.


5. Computational Simulations: Neuro-computational models use computational simulations, such as neural network models or biologically detailed simulations, to study the dynamics of cortical growth. These simulations allow researchers to investigate how interactions between neurons, glial cells, and growth factors contribute to the development of the cortex.


6.  Plasticity and Learning: The model explores how plasticity mechanisms and learning algorithms influence the organization and function of the developing cortex. By simulating learning tasks or sensory experiences, researchers can study how cortical circuits adapt and reorganize in response to environmental stimuli.


7.   Validation and Comparison: Neuro-computational models are validated against experimental data, such as neuroimaging studies or electrophysiological recordings, to ensure their biological relevance and accuracy. By comparing model predictions with empirical observations, researchers can assess the model's ability to capture the dynamics of cortical growth.


8.  Insights into Neurodevelopmental Disorders: By simulating aberrant growth patterns or disruptions in cortical development, neuro-computational models can provide insights into the mechanisms underlying neurodevelopmental disorders, such as autism spectrum disorders or intellectual disabilities. These models help researchers understand how alterations in cortical growth processes may contribute to neurological conditions.


In summary, a neuro-computational model of cortical growth offers a powerful framework for studying the intricate processes involved in the development of the cerebral cortex. By combining neuroscience principles with computational modeling techniques, researchers can gain valuable insights into the mechanisms driving cortical growth, connectivity formation, and the emergence of functional circuits in the developing brain.

 

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