
Explore Python for machine learning from basics. Explore the machine learning and big data ecosystem, statistics concepts, and hands-on techniques using IPython notebooks for fraud detection and recommendation engines.
Explore data-driven insights with Python across beginner to advanced machine learning concepts, from data collection and statistics to real-life applications like sentiment analysis and recommendation engines.
Explore analytics in the big data ecosystem, tracing the evolution from batch reporting to predictive analysis and content analysis, and learn how data-driven insights inform actionable decisions in machine learning.
Explore how big data shapes machine learning by examining volume, velocity, variety, and data sources from ERP, web, social, GPS, video, and platforms like Hadoop.
Explore how globalization and digital technology push organizations up the sophistication curve toward predictive analytics and cross-functional data insights.
Explore descriptive, predictive, and prescriptive analytics and data mining—from standard reports to optimization—and recognize that data is gold, converting to knowledge.
Learn how machine learning enables computers to learn from data, enabling real-world applications like recommendations, fraud detection, and pattern recognition as data and compute expand.
Compare supervised and unsupervised learning, covering tasks like classification, prediction, and clustering with techniques such as k-means, k-medoids, hierarchical clustering, and DBSCAN; distinguish structured and unstructured data.
Discover the fundamentals of sampling in machine learning, explaining why we sample, how to randomly select representative samples, and how they reveal properties of a larger population.
Define the target population and elements, use sampling units and a sampling frame to study resident males in India, and understand parameter, statistic, sampling error, and non-response bias.
Explore errors in observed data, including interviewer bias, respondent bias, and instrument bias with zero errors, and compare probability sampling (random, systematic, stratified) to non-probability sampling (convenience, judgment, quota, snowball).
Explore probabilistic sampling techniques, including random, systematic, and stratified sampling, and see how they reduce bias while selecting representative samples from a population.
Explore cluster sampling as a probabilistic technique used when a sampling frame is costly or unavailable, with examples, and compare it to non-probability methods like convenience, judgment, and quota sampling.
Identify the nature of data as qualitative or quantitative and explore their levels of measurement. Learn why selecting the right data type is essential for valid research and data science.
Explore qualitative data with nominal and ordinal levels. Differentiate quantitative data as continuous or discrete, and visualize with pie charts, bar charts, Pareto, and histograms for exploratory data analysis.
Master probability concepts for machine learning, including discrete and continuous random variables, distributions, events, conditional probability, Bayes theorem, and sample space for experiments.
Learn the relative frequency interpretation of probability through sample space, events, simple and compound events. Apply calculations from relative frequencies using real-world examples like service requests and telecom surveys.
Explore how probability models solve real-life problems by using joint probability of events. Learn how A and B intersect to show when both occur, with practical retail and travel examples.
Explore conditional probability and the formula p(a|b) = p(a ∩ b)/p(b), then apply it to ticket-resolution data and discuss lift in business analytics.
Explore conditional probability and define independence, showing when p(A|B) equals p(A) and when A and B multiply to p(A) p(B); illustrate with service tickets and bread and butter examples.
Apply the law of total probability for mutually exclusive and collectively exhaustive events to compute P(A) from P(A|B_j)P(B_j), then introduce Bayes theorem for inverse probability with practical examples.
Explore random variables as outcomes of a random process, linking sample space to numerical values. Distinguish discrete versus continuous variables with examples like coin toss, die rolls, and failure times.
Explore probability distributions as the complete description of a random variable, and contrast discrete and continuous cases using PMF and PDF that sum or integrate to one.
Explore cumulative probability distribution and the cumulative distribution function, with discrete, continuous, and mixed distributions, using a die example to illustrate probabilities, expectation, and variance.
Explore the Bernoulli distribution as a binary outcome with x=1 probability p and x=0 probability 1-p, revealing its mean p and variance p(1-p). Extend to the binomial distribution as the sum of independent Bernoulli trials.
Examine the binomial distribution using n and p, and compute the mean np and variance np(1-p). See how Gaussian (normal) distribution approximates binomial for large n and introduce geometric distribution.
Explore the geometric distribution's probability function and the Poisson distribution's arrival rate lambda for counts. Learn about mean and variance, and apply Chebyshev's inequality to bound probabilities in data.
Explore Chebyshev's inequality and its bounds on deviations from the mean, and contrast them with the normal (Gaussian) distribution, its probability density function, and mu and sigma.
Learn matrix algebra foundations, including scalars, vectors, and matrices, and master dimensions and the transpose operation. Explore matrix equality and square matrices as building blocks for computation.
Explore matrix operations by reviewing addition and subtraction of equal-order matrices, scalar multiplication, and the rule of conformability for matrix multiplication, with practical examples and intuition.
Explore real-life matrix multiplication across varying dimensions, observe how reversing order changes results, study diagonal, identity, and null matrices, transposes, determinants, and even principal component analysis basics.
Explore determinant properties, including det A equals det A transpose, sign changes from row and column swaps, and the role of rank and inverse in matrices.
Explore type I and type II errors, null and alternative hypotheses, and how alpha, beta, and power guide hypothesis testing decisions, including p-value and critical value approaches.
Learn the critical value approach to hypothesis testing, set null and alternative hypotheses, compute the t statistic for the population mean, and decide by alpha against the critical value.
Examine right, left, and two-tailed t tests with a 14 df sample, alpha 0.05, and mu=3. Determine rejection of the null via critical t values and the observed t statistic.
Master the p-value approach to hypothesis testing, comparing p to alpha, with four steps and null/alternative hypotheses and area under the curve.
Learn how p-values assess evidence against the null hypothesis, reject when p is less than alpha, and apply left-tail, right-tail, and two-tailed tests using both critical value and p-value approaches.
Conduct a one-sample right-tail hypothesis test on 25 Bernal hardness measurements to assess if the mean exceeds 170, and interpret the p-value, t-statistic, and 0.05 significance level.
Assess whether the vinca minor root extract lowers sunflower seeding height using a left-tailed t-test on 33 seeds, mean 13.66, p < 0.01, rejecting mu = 15.7.
Explore two-tailed hypothesis testing with null and alternate hypotheses, significance levels, p-values, and t-values, including rules to reject or fail to reject the null.
Learn to estimate population means and proportions using confidence intervals with a margin of error. Explore real examples, such as poll results and their bounds on public opinion.
Compute a t interval for the population mean using alpha, the t multiplier, and the standard error, then interpret the resulting confidence interval with an fvc example.
Review the normal distribution, contrast parametric and non-parametric data, explain standardization to a standard normal distribution, and apply the empirical rule to assess normality.
Assess how closely sample data follows a normal distribution with qualitative and quantitative methods, using q-q plots, Kolmogorov-Smirnov, and Shapiro-Wilk, and interpret normal probability plots within a 95% confidence band.
the lecture uses the Anderson-Darling test on ten weeks of expenditures, interprets a p-value of 0.742 as normality, and discusses outliers, transformations, and parametric versus non-parametric data.
Apply Box-Cox power transformation to find an optimal lambda that normalizes data, often via log transformation, and evaluate normality with tests like Anderson-Darling or Shapiro-Wilk.
Explore t tests for small samples, including one-sample and two-sample t tests, and compare the student's t distribution with the standard normal distribution to interpret results.
Explore one-sample and two-sample t tests using real-life data, formulate null and alternative hypotheses, compute t statistics and p-values, and interpret confidence intervals with practical Python and Minitab demos.
Compare two group means with a two-sample t test, interpret the t distribution, p values, and confidence intervals, and visualize differences using box plots and dot plots in hypothesis testing.
Learn chi square test of independence for two categorical variables, using contingency tables to compare observed and expected frequencies and interpret results with degrees of freedom and alpha.
Assess independence between gender and education level using chi-square tests at a 0.05 level of significance. Interpret contingency table results, p-values, and confidence levels to draw conclusions.
Explore the chi-square goodness-of-fit test, interpreting critical values and p-values to assess data fit. Use a 20%/80% resident vs non-resident example to apply a null hypothesis.
Compute and interpret a chi-squared goodness-of-fit test, compare observed vs expected frequencies, and assess independence in a contingency table using p-values and critical values.
"Machine Learning with Python: Basics to Advanced Analytics" is a comprehensive and fitting title for a course that covers essential concepts, tools, and techniques in both machine learning and statistics. This title conveys the course's focus on building a strong foundation in the key elements of data science, offering participants the knowledge and skills necessary to excel in the dynamic field of data-driven decision-making. It suggests a balanced and in-depth exploration of both machine learning and statistical principles, making it an appealing and informative choice for potential learners. This comprehensive program is designed to provide you with a solid understanding of the fundamental principles that underlie both Machine Learning (ML) and Statistics. In this course, we will explore key concepts, methodologies, and tools essential for anyone looking to embark on a journey into the world of data-driven decision-making.
In an era dominated by data, the ability to harness and interpret information is invaluable. This course is structured to equip you with the knowledge and skills needed to navigate the intricate landscapes of Machine Learning and Statistics. Whether you're a beginner eager to grasp the basics or an experienced professional seeking to reinforce your foundation, this course caters to diverse learning levels.
Course Structure: The course is organized into eleven sections, each focusing on a specific aspect of ML and Statistics. From the foundational principles of ML in Python to in-depth explorations of statistical concepts, you will progress through a structured curriculum that builds your expertise step by step. Each section comprises a series of lectures, providing a well-rounded and comprehensive learning experience.
What You Will Learn:
Understand the significance of Machine Learning and its applications.
Gain proficiency in using Python for ML implementations.
Explore the integration of Big Data and emerging trends in Machine Learning.
Master the basics of statistical sampling, data types, and visualization.
Develop a solid understanding of probability theory and its relevance to ML.
Comprehend random variables, probability distributions, and their applications.
Explore various statistical distributions crucial for ML.
Acquire essential skills in matrix algebra and its application in ML.
Master the principles and techniques of hypothesis testing.
Delve into different types of hypothesis tests and their practical applications.
Gain insights into regression analysis and covariance.
Who Should Enroll: This course is suitable for beginners entering the field of data science, professionals seeking to enhance their statistical knowledge, and anyone interested in understanding the foundations of Machine Learning. Whether you are in academia, industry, or a self-learner, the course provides a comprehensive and accessible learning path.
Prerequisites: Basic knowledge of programming concepts is beneficial, but not mandatory. A curious mind and enthusiasm for exploring the intersection of data, statistics, and machine learning are the key prerequisites.
Course Format: The course is presented in a series of text-based lectures, each focusing on specific topics. It is self-paced, allowing you to progress through the material at your own speed. Each section concludes with quizzes and practical examples to reinforce your understanding.
Embark on this exciting journey into the world of data-driven decision-making! We are confident that, by the end of this course, you will have a strong foundation in both Machine Learning and Statistics, empowering you to tackle real-world challenges and contribute to the evolving field of data science. Let's get started!
Section 1: Introduction
In the introductory section, participants are provided with a foundational understanding of the field of Machine Learning (ML) with a specific focus on its applications using the Python programming language. The primary goal is to familiarize participants with the broad scope of ML, its historical evolution, and the crucial role Python plays in implementing ML algorithms. This section aims to set the stage for subsequent modules by establishing a common understanding of the core concepts in ML.
Section 2: Importing
Section 2 builds upon the introduction and delves deeper into various aspects of Machine Learning. The lectures in this section cover analytics within the ML context, emphasizing the role of data-driven insights in decision-making. The integration of Big Data into ML processes is explored, highlighting the challenges and opportunities posed by the vast amounts of data generated. Additionally, participants gain insights into emerging trends in ML, ensuring they are aware of the latest developments shaping the field.
Section 3: Basics of Statistics Sampling
This section shifts the focus to the fundamental principles of statistics, particularly sampling methods in the context of ML. Lectures cover various techniques, terminology, and concepts such as error observation and non-observation. The exploration of systematic and cluster sampling provides participants with a solid foundation in statistical sampling, crucial for making informed decisions in ML.
Section 4: Basics of Statistics Data types and Visualization
Section 4 concentrates on the basics of statistics related to data types and visualization. Participants learn how to categorize different types of data and explore visualization techniques, with a specific emphasis on qualitative data. This knowledge equips participants with the essential skills to represent and interpret data effectively in the ML context.
Section 5: Basics of Statistics Probability
Section 5 introduces participants to the probabilistic aspects of Machine Learning. Lectures cover fundamental probability concepts, including relative frequency probability, joint probability, conditional probability, independence, and total probability. This section establishes the probabilistic foundation necessary for understanding ML algorithms and their underlying statistical principles.
Section 6: Basics of Statistics Random Variables
The focus shifts to random variables and probability distributions in Section 6. Participants delve into the mathematical aspects of random variables and their distributions, gaining an understanding of how probability influences data in the ML context. This section lays the groundwork for comprehending the stochastic nature of variables encountered in ML applications.
Section 7: Basics of Statistics Distributions
Building upon Section 6, Section 7 deepens the exploration of probability distributions relevant to ML. Lectures cover specific distributions such as Bernoulli, Gaussian, geometric, continuous, and normal distributions. Participants gain insights into the applications of these distributions, establishing a strong statistical background for advanced ML concepts.
Section 8: Matrix Algebra
Section 8 introduces participants to matrix algebra, a fundamental tool in ML. Lectures cover mathematical expressions, computations, and properties of matrices, along with the concept of determinants. This section aims to provide participants with the necessary mathematical knowledge to understand and manipulate matrices in the context of ML algorithms.
Section 9: Hypothesis Testing
This section focuses on hypothesis testing in ML. Lectures cover error types, critical value approaches, P-value approaches, and various scenarios for hypothesis testing. Participants learn how to apply statistical methods to validate hypotheses, a crucial skill for making informed decisions based on data in ML.
Section 10: Hypothesis Tests-Types
Section 10 delves into specific types of hypothesis tests applicable in ML scenarios. Lectures cover normality tests, T-tests, tests of independence, and goodness of fit tests. Practical examples illustrate the application of these tests, providing participants with hands-on experience in applying statistical methods to real-world ML problems.
Section 11: Regression
The final section focuses on regression analysis, starting with the concept of covariance and its continuation. Participants gain insights into how covariance contributes to understanding relationships between variables in ML applications. The section aims to equip participants with the knowledge and skills required for regression analysis, a fundamental aspect of predictive modeling in ML.