Outlier detection is a critical task in machine learning, particularly within unsupervised learning, where data labels are absent. The goal is to identify items in a dataset that deviate significantly from the norm. This technique is essential across numerous domains, including fraud detection, s...
This article rigorously explores the Central Limit Theorem for m-dependent random variables under sub-linear expectations, presenting new inequalities, proof outlines, and implications in modeling dependent sequences.
Principal Component Analysis (PCA) is a robust technique used for dimensionality reduction while retaining critical information in datasets. Its sensitivity makes it particularly useful for detecting outliers in multivariate datasets. Detecting outliers can provide early warnings of abnormal cond...
Overview of the Counts Outliers Detector (COD)
Albert Einstein’s quote, “Everything should be made as simple as possible, but not simpler,” encapsulates a fundamental principle in science and analytics. It emphasizes the importance of simplicity and clarity while cautioning against oversimplification that can lead to loss of essential detail ...
Outlier detection presents significant challenges, particularly in evaluating the effectiveness of outlier detection algorithms. Traditional methods of evaluation, such as those used in predictive modeling, are often inapplicable due to the lack of labeled data. This article introduces a method k...
An in-depth look at financial models such as Copula and GARCH, their importance in quantitative analysis, and practical applications with Python.
Statistical estimates always have some uncertainty. Consider a simple example of modeling house prices based solely on their area using linear regression. A prediction from this model wouldn’t reveal the exact value of a house based on its area, because different houses of the same size can have ...
Non-intrusive load monitoring (NILM) is an advanced technique that disaggregates a building’s total energy consumption into the usage patterns of individual appliances, all without requiring hardware installation on each device. This approach not only offers a cost-effective and scalable solution...
The Central Limit Theorem (CLT) is one of the cornerstone results in probability theory and statistics. It provides a foundational understanding of how the distribution of sums of random variables behaves. At its core, the CLT asserts that under certain conditions, the sum of a large number of ra...
