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Unveiling Hidden Neural Codes: SIMPL – A Scalable and Fast Approach for Optimizing Latent Variables and Tuning Curves in Neural Population Data

Dr. Rishabh Pathak
This research paper presents SIMPL (Scalable Iterative Maximization of Population-coded Latents), a novel, computationally efficient algorithm designed to refine the estimation of latent variables and tuning curves from neural population activity. Latent variables in neural data represent essential low-dimensional quantities encoding behavioral or cognitive states, which neuroscientists seek to identify to understand brain computations better. Background and Motivation Traditional approaches commonly assume the observed behavioral variable as the latent neural code. However, this assumption can lead to inaccuracies because neural activity sometimes encodes internal cognitive states differing subtly from observable behavior (e.g., anticipation, mental simulation). Existing latent variable models face challenges such as high computational cost, poor scalability to large datasets, limited expressiveness of tuning models, or difficulties interpreting complex neural network-based functio...
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Supervised Learning

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Dr. Rishabh Pathak

What is Supervised Learning?

·   Definition: Supervised learning involves training a model on a labeled dataset, where the input data (features) are paired with the correct output (labels). The model learns to map inputs to outputs and can predict labels for unseen input data.

·   Goal: To learn a function that generalizes well from training data to accurately predict labels for new data.

·         Types:

·         Classification: Predicting categorical labels (e.g., classifying iris flowers into species).

·         Regression: Predicting continuous values (e.g., predicting house prices).

Key Concepts:

·         Generalization: The ability of a model to perform well on previously unseen data, not just the training data.

·         Overfitting and Underfitting:

·         Overfitting: The model learns noise in the training data, performing very well on training data but poorly on new data.

·         Underfitting: The model is too simple to capture the underlying pattern, resulting in poor performance on both training and testing data.

·         Relation to Model Complexity: The model's complexity must be appropriate for the size and nature of the dataset to avoid overfitting or underfitting.

Popular Supervised Learning Algorithms Covered:

·         k-Nearest Neighbors (k-NN): Classifies data points based on the labels of their nearest neighbors in the feature space.

·         Linear Models: Includes linear regression and logistic regression, which make predictions based on a linear combination of input features.

·  Naive Bayes Classifier: Probabilistic classifiers based on Bayes’ theorem with strong independence assumptions between features.

·         Decision Trees: Models that split data into branches to make predictions based on feature thresholds.

·   Ensembles of Decision Trees: Methods like Random Forests and Gradient Boosting that combine multiple trees to improve performance.

·     Support Vector Machines (SVM): Effective for classification tasks by finding the hyperplane that best separates classes.

·   Neural Networks (Deep Learning): Models inspired by biological neural networks capable of learning complex patterns.

Practical Application Example:

  • Supervised learning is illustrated with the classic problem of classifying iris flowers into several species based on physical measurements such as petal and sepal length.
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