Skip to main content

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 ...
Post a Comment

Gliding Joints

Image
Dr. Rishabh Pathak

Gliding joints, also known as plane joints, are a type of synovial joint that allows for limited gliding or sliding movements in various directions. Here is an overview of gliding joints:

Gliding Joints:

1.    Structure:

o    Gliding joints consist of flat or slightly curved articulating surfaces that glide over each other.

o    The joint surfaces are relatively flat, allowing for simple back-and-forth or side-to-side movements.

2.    Function:

o Gliding joints permit limited sliding movements in multiple directions, such as back-and-forth and side-to-side.

o These joints provide flexibility and smooth motion between adjacent bones.

3.    Examples:

o    Intercarpal Joints:

§  The joints between the carpal bones of the wrist are classic examples of gliding joints.

§  These joints allow for small gliding movements during wrist flexion, extension, abduction, and adduction.

o    Intertarsal Joints:

§  The joints between the tarsal bones of the foot are also gliding joints.

§  They facilitate subtle gliding motions during foot movements and weight-bearing activities.

4.    Movements:

o  Gliding: Sliding or gliding of one bone over another without significant angular or rotational movement.

o    Side-to-Side: Movement in a lateral direction.

o    Back-and-Forth: Movement in an anterior-posterior direction.

5.    Stability:

o    Gliding joints provide stability and support for fine movements and weight distribution.

o Ligaments, joint capsules, and surrounding soft tissues help maintain joint alignment and prevent excessive movement.

6.    Clinical Significance:

o    Gliding joints are prone to overuse injuries, such as repetitive strain injuries in the wrist or foot.

o    Proper ergonomics, strengthening exercises, and rest are essential for maintaining the health and function of gliding joints.

Understanding the structure and function of gliding joints is important for healthcare professionals, athletes, and individuals seeking to prevent joint injuries and maintain optimal movement patterns. Proper care, ergonomic practices, and targeted exercises can help preserve the function and longevity of gliding joints in the body.

 

Categories:

Comments

Post a Comment

Popular posts from this blog

Relation of Model Complexity to Dataset Size

Dr. Rishabh Pathak
Core Concept The relationship between model complexity and dataset size is fundamental in supervised learning, affecting how well a model can learn and generalize. Model complexity refers to the capacity or flexibility of the model to fit a wide variety of functions. Dataset size refers to the number and diversity of training samples available for learning. Key Points 1. Larger Datasets Allow for More Complex Models When your dataset contains more varied data points , you can afford to use more complex models without overfitting. More data points mean more information and variety, enabling the model to learn detailed patterns without fitting noise. Quote from the book: "Relation of Model Complexity to Dataset Size. It’s important to note that model complexity is intimately tied to the variation of inputs contained in your training dataset: the larger variety of data points your dataset contains, the more complex a model you can use without overfitting....
Post a Comment
Read more

Linear Models

Dr. Rishabh Pathak
1. What are Linear Models? Linear models are a class of models that make predictions using a linear function of the input features. The prediction is computed as a weighted sum of the input features plus a bias term. They have been extensively studied over more than a century and remain widely used due to their simplicity, interpretability, and effectiveness in many scenarios. 2. Mathematical Formulation For regression , the general form of a linear model's prediction is: y^ ​ = w0 ​ x0 ​ + w1 ​ x1 ​ + … + wp ​ xp ​ + b where; y^ ​ is the predicted output, xi ​ is the i-th input feature, wi ​ is the learned weight coefficient for feature xi ​ , b is the intercept (bias term), p is the number of features. In vector form: y^ ​ = wTx + b where w = ( w0 ​ , w1 ​ , ... , wp ​ ) and x = ( x0 ​ , x1 ​ , ... , xp ​ ) . 3. Interpretation and Intuition The prediction is a linear combination of features — each feature contributes prop...
Post a Comment
Read more

Predicting Probabilities

Dr. Rishabh Pathak
1. What is Predicting Probabilities? The predict_proba method estimates the probability that a given input belongs to each class. It returns values in the range [0, 1] , representing the model's confidence as probabilities. The sum of predicted probabilities across all classes for a sample is always 1 (i.e., they form a valid probability distribution). 2. Output Shape of predict_proba For binary classification , the shape of the output is (n_samples, 2) : Column 0: Probability of the sample belonging to the negative class. Column 1: Probability of the sample belonging to the positive class. For multiclass classification , the shape is (n_samples, n_classes) , with each column corresponding to the probability of the sample belonging to that class. 3. Interpretation of predict_proba Output The probability reflects how confidently the model believes a data point belongs to each class. For example, in ...
Post a Comment
Read more

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 ...
Post a Comment
Read more

LPFC Functions

Dr. Rishabh Pathak
The lateral prefrontal cortex (LPFC) plays a crucial role in various cognitive functions, particularly those related to executive control, working memory, decision-making, and goal-directed behavior. Here are key functions associated with the lateral prefrontal cortex: 1.      Executive Functions : o     The LPFC is central to executive functions, which encompass higher-order cognitive processes involved in goal setting, planning, problem-solving, cognitive flexibility, and inhibitory control. o     It is responsible for coordinating and regulating other brain regions to support complex cognitive tasks, such as task switching, attentional control, and response inhibition, essential for adaptive behavior in changing environments. 2.      Working Memory : o     The LPFC is critical for working memory processes, which involve the temporary storage and manipulation of information to guide behavior and decis...
Post a Comment
Read more