Slides from Andrew's lecture on getting machine learning algorithms to work in practice can be found .
A list of last year's final projects can be found .
Here are a couple of Matlab tutorials that you might find helpful: and . For emacs users only: If you plan to run Matlab in emacs, here are , and a helpful .
For a free alternative to Matlab, check out . The official documentation is available . Some useful tutorials on Octave include and .
Depending on the computer you are using, you may be able to download a or for it if you don't already have one.
Assignments
Assignment
Assignment Data Files
Solution
Solution Data Files
Course Sessions (20):
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1 hr 9 min
The Motivation & Applications of Machine Learning, The Logistics of the Class, The Definition of Machine Learning, The Overview of Supervised Learning, The Overview of Learning Theory, The Overview of Unsupervised Learning, The Overview of Reinforcement Learning
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1 hr 16 min
An Application of Supervised Learning - Autonomous Deriving, ALVINN, Linear Regression, Gradient Descent, Batch Gradient Descent, Stochastic Gradient Descent (Incremental Descent), Matrix Derivative Notation for Deriving Normal Equations, Derivation of Normal Equations
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1 hr 13 min
The Concept of Underfitting and Overfitting, The Concept of Parametric Algorithms and Non-parametric Algorithms, Locally Weighted Regression, The Probabilistic Interpretation of Linear Regression, The motivation of Logistic Regression, Logistic Regression, Perceptron
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1 hr 13 min
Newton's Method, Exponential Family, Bernoulli Example, Gaussian Example, General Linear Models (GLMs), Multinomial Example, Softmax Regression
Multinomial Event Model, Non-linear Classifiers, Neural Network, Applications of Neural Network, Intuitions about Support Vector Machine (SVM), Notation for SVM, Functional and Geometric Margins
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1 hr 16 min
Optimal Margin Classifier, Lagrange Duality, Karush-Kuhn-Tucker (KKT) Conditions, SVM Dual, The Concept of Kernels
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1 hr 17 min
Kernels, Mercer's Theorem, Non-linear Decision Boundaries and Soft Margin SVM, Coordinate Ascent Algorithm, The Sequential Minimization Optimization (SMO) Algorithm, Applications of SVM
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1 hr 14 min
Bias/variance Tradeoff, Empirical Risk Minimization (ERM), The Union Bound, Hoeffding Inequality, Uniform Convergence - The Case of Finite H, Sample Complexity Bound, Error Bound, Uniform Convergence Theorem & Corollary
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1 hr 13 min
Uniform Convergence - The Case of Infinite H, The Concept of 'Shatter' and VC Dimension, SVM Example, Model Selection, Cross Validation, Feature Selection
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1 hr 22 min
Bayesian Statistics and Regularization, Online Learning, Advice for Applying Machine Learning Algorithms, Debugging/fixing Learning Algorithms, Diagnostics for Bias & Variance, Optimization Algorithm Diagnostics, Diagnostic Example - Autonomous Helicopter, Error Analysis, Getting Started on a Learning Problem
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1 hr 14 min
The Concept of Unsupervised Learning, K-means Clustering Algorithm, K-means Algorithm, Mixtures of Gaussians and the EM Algorithm, Jensen's Inequality, The EM Algorithm, Summary
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1 hr 15 min
Mixture of Gaussian, Mixture of Naive Bayes - Text clustering (EM Application), Factor Analysis, Restrictions on a Covariance Matrix, The Factor Analysis Model, EM for Factor Analysis
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1 hr 21 min
The Factor Analysis Model,0 EM for Factor Analysis, Principal Component Analysis (PCA), PCA as a Dimensionality Reduction Algorithm, Applications of PCA, Face Recognition by Using PCA
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1 hr 17 min
Latent Semantic Indexing (LSI), Singular Value Decomposition (SVD) Implementation, Independent Component Analysis (ICA), The Application of ICA, Cumulative Distribution Function (CDF), ICA Algorithm, The Applications of ICA
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1 hr 13 min
Applications of Reinforcement Learning, Markov Decision Process (MDP), Defining Value & Policy Functions, Value Function, Optimal Value Function, Value Iteration, Policy Iteration
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1 hr 17 min
Generalization to Continuous States, Discretization & Curse of Dimensionality, Models/Simulators, Fitted Value Iteration, Finding Optimal Policy
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1 hr 17 min
State-action Rewards, Finite Horizon MDPs, The Concept of Dynamical Systems, Examples of Dynamical Models, Linear Quadratic Regulation (LQR), Linearizing a Non-Linear Model, Computing Rewards, Riccati Equation
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1 hr 16 min
Advice for Applying Machine Learning, Debugging Reinforcement Learning (RL) Algorithm, Linear Quadratic Regularization (LQR), Differential Dynamic Programming (DDP), Kalman Filter & Linear Quadratic Gaussian (LQG), Predict/update Steps of Kalman Filter, Linear Quadratic Gaussian (LQG)
There will be one homework (HW) for each topical unit of the course. Due about a week after we finish that unit.
These are intended to build your conceptual analysis skills plus your implementation skills in Python.
HW0 : Numerical Programming Fundamentals
HW1 : Regression, Cross-Validation, and Regularization
HW2 : Evaluating Binary Classifiers and Implementing Logistic Regression
HW3 : Neural Networks and Stochastic Gradient Descent
HW4 : Trees
HW5 : Kernel Methods and PCA
After completing each unit, there will be a 20 minute quiz (taken online via gradescope).
Each quiz will be designed to assess your conceptual understanding about each unit.
Probably 10 questions. Most questions will be true/false or multiple choice, with perhaps 1-3 short answer questions.
You can view the conceptual questions in each unit's in-class demos/labs and homework as good practice for the corresponding quiz.
There will be three larger "projects" throughout the semester:
Project A: Classifying Images with Feature Transformations
Project B: Classifying Sentiment from Text Reviews
Project C: Recommendation Systems for Movies
Projects are meant to be open-ended and encourage creativity. They are meant to be case studies of applications of the ML concepts from class to three "real world" use cases: image classification, text classification, and recommendations of movies to users.
Each project will due approximately 4 weeks after being handed out. Start early! Do not wait until the last few days.
Projects will generally be centered around a particular methodology for solving a specific task and involve significant programming (with some combination of developing core methods from scratch or using existing libraries). You will need to consider some conceptual issues, write a program to solve the task, and evaluate your program through experiments to compare the performance of different algorithms and methods.
Your main deliverable will be a short report (2-4 pages), describing your approach and providing several figures/tables to explain your results to the reader.
You’ll be assessed on effort, the sophistication of your technical approach, the clarity of your explanations, the evidence that you present to support your evaluative claims, and the performance of your implementation. A high-performing approach with little explanation will receive little credit, while a careful set of experiments that illuminate why a particular direction turned out to be a dead end may receive close to full credit.
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- Submitted homeworks may be either typed or handwritten. However, for ease of grading, please submit answers to the individual questions that make up each homework assignment on separate pieces of paper. When turning in code, please both print and attach a copy of your code to your homework and submit your code through the course blackboard website.
- We might reuse problem set questions from previous years, covered by papers and webpages, we expect the students not to copy, refer to, or look at the solutions in preparing their answers. Since this is a graduate class, we expect students to want to learn and not google for answers.
- Homeworks must be done individually, except where otherwise noted in the assignments. 'Individually' means each student must hand in their own answers, and each student must write their own code in the programming part of the assignment. It is acceptable, however, for students to collaborate in figuring out answers and helping each other solve the problems. We will be assuming that, as participants in a graduate course, you will be taking the responsibility to make sure you personally understand the solution to any work arising from such a collaboration. Students who collaborate in this way are expected to list the name of those they collaborate with in their homework submissions.
- of all late homework assignments to Sharon Cavlovich. Put down the date and time of submission on the HW sheets when submitting your assignments to Sharon. If she is not available, please slide your HW under her door.
Browse Course Material
Course info, instructors.
Rohit Singh
Prof. Tommi Jaakkola
Ali Mohammad
Departments
Electrical Engineering and Computer Science
As Taught In
Algorithms and Data Structures
Artificial Intelligence
Probability and Statistics
Cognitive Science
Learning Resource Types
Machine learning, assignments.
Ali Mohammad and Rohit Singh prepared the problem sets and solutions.
ASSIGNMENTS
SOLUTIONS
SUPPORTING FILES
Problem set 1 ( )
Section A ( )
Section B ( )
perceptron_test.m ( )
perceptron_train.m ( )
Errata ( )
p1.zip ( ) (The ZIP file contains: 3 .m files and 4 .dat files.)
p3.zip ( ) (The ZIP file contains: 3 .svm files.)
strimage.m ( )
Problem set 2 ( )
( )
Errata ( )
Problem set 3 ( )
( )
Errata ( )
Problem set 4 ( )
( )
Errata ( )
Problem set 5 ( )
( )
Errata ( )
Prob1 data ( ) (The ZIP file contains: 12 .m files, 1 .de file.)
Prob2 data ( ) (The ZIP file contains: 10 .m files and 2 .dat files.)
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Introduction to Machine Learning
Homework 1 -- numpy and ml.
Due: Wednesday, February 15, 2023 at 11:00 PM
Welcome to your first homework! Homeworks are designed to be our primary teaching and learning mechanism, with conceptual, math, and coding questions that are designed to highlight the critical ideas in this course. You may choose to tackle the questions in any order, but the homeworks are designed to be followed sequentially. Often, insights from the early problems will help with the later ones.
You have 'free checking'! That means you can check and submit your answer as many times as you want. Your best submission (the one that gives you the most points taking into account correctness and lateness) will be counted---you don't have to worry about it.
After submitting your answers, even if you have gotten a perfect score, we highly encourage you to hit 'View Answer' to look at the staff solution. You may find the staff solutions approached the problems in a different way than you did, which can yield additional insight. Be sure you have gotten your points before hitting 'View Answer', however. You will not be allowed to submit again after viewing the answer.
Each week, we'll provide a Colab notebook for you to use draft and debug your solutions to coding problems (you have better editing and debugging tools there); but you should submit your final solutions here to claim your points.
This week's Colab notebook can be found here: HW01 Colab Notebook (Click Me!)
The homework comes in two parts:
Learning to use numpy
Introduction to linear regression
Machine learning algorithms almost always boil down to matrix computations, so we'll need a way to efficiently work with matrices.
numpy is a package for doing a variety of numerical computations in Python that supports writing very compact and efficient code for handling arrays of data. It is used extensively in many fields requiring numerical analysis, so it is worth getting to know.
We will start every code file that uses numpy with import numpy as np , so that we can reference numpy functions with the np. precedent. The fundamental data type in numpy is the multidimensional array, and arrays are usually generated from a nested list of values using the np.array command. Every array has a shape attribute which is a tuple of dimension sizes.
In this class, we will use two-dimensional arrays almost exclusively. That is, we will use 2D arrays to represent both matrices and vectors! This is one of several times where we will seem to be unnecessarily fussy about how we construct and manipulate vectors and matrices, but this will make it easier to catch errors in our code. Even if [[1,2,3]] and [1,2,3] may look the same to us, numpy functions can behave differently depending on which format you use. The first has two dimensions (it's a list of lists), while the second has only one (it's a single list). Using only 2D arrays for both matrices and vectors gives us predictable results from numpy operations.
Using 2D arrays for matrices is clear enough, but what about column and row vectors? We will represent a column vector as a d\times 1 array and a row vector as a 1\times d array. So for example, we will represent the three-element column vector, x = \left[ \begin{array}{c} 1 \\ 5 \\ 3 \\ \end{array} \right], as a 3 \times 1 numpy array. This array can be generated with
~~~ x = np.array([[1],[5],[3]]),
or by using the transpose of a 1 \times 3 array (a row vector) as in,
~~~ x = np.transpose(np.array([[1,5,3]]),
where you should take note of the "double" brackets.
It is often more convenient to use the array attribute .T , as in
~~~ x = np.array([[1,5,3]]).T
to compute the transpose.
Before you begin, we would like to note that in this assignment we will not accept answers that use for or while loops. One reason for avoiding loops is efficiency. For many operations, numpy calls a compiled library written in C, and the library is far faster than interpreted Python (in part due to the low-level nature of C, optimizations like vectorization, and in some cases, parallelization). But the more important reason for avoiding loops is that using numpy library calls leads to simpler code that is easier to debug. So, we expect that you should be able to transform loop operations into equivalent operations on numpy arrays, and we will practice this in this assignment.
Of course, there will be more complex algorithms that require loops, but when manipulating matrices you should always look for a solution without loops.
You can find general documentation on numpy here .
Numpy functions and features you should be familiar with for this assignment:
np.transpose (and the equivalent method a.T )
np.ndarray.shape
np.dot (and the equivalent method a.dot(b) )
np.linalg.inv
Elementwise operators +, -, *, /
Note that in Python, np.dot(a, b) is the matrix product a @ b , not the dot product a^T b .
If you're unfamiliar with numpy and want to see some examples of how to use it, please see this link: Numpy Overview .
Array Basics
Creating Arrays
Provide an expression that sets A to be a 2 \times 3 numpy array ( 2 rows by 3 columns), containing any values you wish.
Write a procedure that takes an array and returns the transpose of the array. You can use np.transpose or the property T , but you may not use loops.
Note: as with other coding problems in 6.390 you do not need to call the procedure; it will be called/tested when submitted.
Shapes Hint: If you get stuck, code and run these expressions (with array values of your choosing), then print out the shape using A.shape
Let A be a 4\times 2 numpy array, B be a 4\times 3 array, and C be a 4\times 1 array. For each of the following expressions, indicate the shape of the result as a tuple of integers ( recall python tuples use parentheses, not square brackets, which are for lists, and a tuple with just one item x in it is written as (x,) with a comma ). Write "none" (as a Python string with quotes) if the expression is illegal.
For example,
If the result array was [45, 36, 75] , the shape is (3,)
If the result array was [[1,2,3],[4,5,6]] , the shape is (2,3)
Hint: for more compact and legible code, use @ for matrix multiplication, instead of np.dot . If A and B , are matrices (2D numpy arrays), then A @ B = np.dot(A, B) .
Indexing vs. Slicing The shape of the resulting array is different depending on if you use indexing or slicing. Indexing refers to selecting particular elements of an array by using a single number (the index) to specify a particular row or column. Slicing refers to selecting a subset of the array by specifying a range of indices.
If you're unfamiliar with these terms, and the indexing and slicing rules of arrays, please see the indexing and slicing sections of this link: Numpy Overview (Same as the Numpy Overview link from the introduction). You can also look at the official numpy documentation here .
In the following questions, let A = np.array([[5,7,10,14],[2,4,8,9]]) . Tell us what the output would be for each of the following expressions. Use brackets [] as necessary. If the operation is invalid, write the python string "none" .
Note: Remember that Python uses zero-indexing and thus starts counting from 0, not 1. This is different from R and MATLAB.
Indexing, revisited
Slicing, revisited
Lone Colon Slicing
Combining Indexing and Slicing
Combining Indexing and Slicing, revisited
Combining Indexing and Slicing, revisited again
Coding Practice
Now that we're familiar with numpy arrays, let's practice actually using numpy in our code!
In the following questions, you must get the shapes of the output correct for your answer to be accepted. If your answer contains the right numbers but the grader is still saying your answers are incorrect, check the shapes of your output. The number and placement of brackets need to match!
Write a procedure that takes a list of numbers and returns a 2D numpy array representing a row vector containing those numbers. Recall that a row vector in our usage will have shape (1, d) where d is the number of elements in the row.
Column Vector
Write a procedure that takes a list of numbers and returns a 2D numpy array representing a column vector containing those numbers. You can use the rv procedure.
Write a procedure that takes a column vector and returns the vector's Euclidean length (or equivalently, its magnitude) as a scalar . You may not use np.linalg.norm , and you may not use loops.
Remember that the formula for the Euclidean length for a vector \mathbf{x} is:
Write a procedure that takes a column vector and returns a unit vector (a vector of length 1 ) in the same direction. You may not use loops. Use your length procedure from above (you do not need to define it again).
Last Column
Write a procedure that takes a 2D array and returns the final column vector as a two dimensional array. You may not use loops. Hint: negative indices are interpreted as counting from the end of the array.
Matrix inverse
A scalar number x has an inverse x^{-1} , such that x^{-1} x = 1 , that is, their product is 1 . Similarly, a matrix A may have a well-defined inverse A^{-1} , such that A^{-1} A = I , where matrix multiplication is used, and I is the identity matrix. Such inverses generally only exist when A is a square matrix, and just as 0 has no well defined multiplicative inverse, there are also cases when matrices are "singular" and have no well defined inverses.
Write a procedure that takes a matrix A and returns its inverse, A^{-1} . Assume that A is well-formed, such that its inverse exists. Feel free to use routines from np.linalg .
Working with Data in Numpy
Representing data
Mat T. Ricks has collected weight and height data of 3 people and has written it down below:
Weight, Height 150, 5.8 130, 5.5 120, 5.3
He wants to put this into a numpy array such that each column represents one individual's weight and height (in that order), in the order of individuals as listed. Write code to set data equal to the appropriate numpy array:
We are beginning our study of machine learning with linear regression which is a fundamental problem in supervised learning. Please study Sections 2.1 through 2.4 of the Chapter 2 - Regression lecture notes before starting in on these problems.
A hypothesis in linear regression has the form y = \theta^T x + \theta_0 where x is a d \times 1 input vector, y is a scalar output prediction, \theta is a d \times 1 parameter vector and \theta_0 is a scalar offset parameter.
This week, just to get warmed up, we will consider a simple algorithm for trying to find a hypothesis that fits the data well: we will generate a lot of random hypotheses and see which one has the smallest error on this data, and return that one as our answer. (We don't recommend this method in actual practice, but it gets us started and makes some useful points.)
Here is a data-set for a regression problem, with d = 1 and n = 5 : \mathcal{D} = {([1], 2), ([2], 1), ([3], 4), ([4], 3), ([5], 5)} Recall from the notes that \mathcal{D} is a set of (x, y) (input, output) pairs.
Linear prediction
Assume we are given an input x as a column vector and the parameters specifying a linear hypothesis. Let's compute a predicted value.
Write a Python function which is given:
x : input vector d \times 1
th : parameter vector d \times 1
th0 : offset parameter 1 \times 1 or scalar
and returns:
y value predicted for input x by hypothesis th , th0
Lots of data!
Now assume we are given n points in an array, let's compute predictions for all the points.
X : input array d \times n
a 1\times n vector y of predicted values, one for each column of X for hypothesis th , th0
Try to make it so that your answer to this question can be used verbatim as an answer to the previous question.
Mean squared error
Given two 1 \times n vectors of output values, Y and Y_hat , compute a 1 \times 1 (or scalar) mean squared error.
Read about np.mean
Y : vector of output values 1 \times n
Y_hat : vector of output values 1 \times n
a 1\times 1 array with the mean square error
More mean squared error
Assume now that you have two k \times n arrays of output values, Y and Y_hat . Each row (0 \dots k-1) in a matrix represents the results of using a different hypothesis. Compute a k \times 1 vector of the mean-squared errors associate with each of the hypotheses (but averaged over all n data points, in each case.)
Read about the axis and keepdims arguments to np.mean
(Try to make it so that your answer to this question can be used verbatim as an answer to the previous question.)
Y : vector of output values k \times n
Y_hat : vector of output values k \times n
a k\times 1 vector of mean squared error values
Linear prediction error
Use the mse and lin_reg_predict procedures to implement a procedure that takes
X : d \times n input array representing n points in d dimensions
Y : 1 \times n output vector representing output values for n points
th0 : offset 1 \times 1 (or scalar)
and returns
1 \times 1 (or scalar) value representing the MSE of hypothesis th , th0 on the data set X , Y .
Read about the axis argument to np.mean
Our first machine learning algorithm!
The code is below. It takes in
X : d\times n input array representing n points in d dimensions
Y : 1\times n output vector representing output values for n points
k : a number of hypotheses to try
And generates as output
the tuple ((th, th0), error) where th , th0 is a hypothesis and error is the MSE of that hypothesis on the input data.
Note that in this code we use np.random.rand rather than np.random.randn as we will see in the lab. So some of the behavior will be different, and we'll ask some questions about that below.
Read about np.random.rand
Read about np.argmin
Rather than asking you to write the code, we are going to ask you some questions about it.
c. When we call lin_reg_err in line 4, we have objects with the following dimensions:
X : d \times n
ths : d\times k
th0s : 1\times k
If we want to get a matrix of predictions of all the hypotheses on all the data points, we can write np.dot(ths.T, X) + th0s.T But if we do the dimensional analysis here, there's something fishy.
(The form below is to help us improve/calibrate for future assignments; submission is encouraged but not required. Thanks!)
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Late homework policy -. Late homeworks will be penalized according to the following policy: Homework is worth full credit at the beginning of class on the due date. It is worth half credit for the next 48 hours. It is worth zero credit after that. Turn in hardcopies of all late homework assignments to Sharon Cavlovich.
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The assignments section provides problem sets, solutions, and supporting files from the course.
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Homework 1 -- Numpy and ML
Homework 1 -- Numpy and ML. Due: Wednesday, February 15, 2023 at 11:00 PM. Welcome to your first homework! Homeworks are designed to be our primary teaching and learning mechanism, with conceptual, math, and coding questions that are designed to highlight the critical ideas in this course. You may choose to tackle the questions in any order ...
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This course introduces principles, algorithms, and applications of machine learning from the point of view of modeling and prediction. It includes formulation of learning problems and concepts of representation, over-fitting, and generalization. These concepts are exercised in supervised learning and reinforcement learning, with applications to ...
Bloomberg presents "Foundations of Machine Learning," a training course that was initially delivered internally to the company's software engineers as part of its "Machine Learning EDU" initiative. This course covers a wide variety of topics in machine learning and statistical modeling. The primary goal of the class is to help participants gain ...
In this post, you will complete your first machine learning project using Python. In this step-by-step tutorial you will: Download and install Python SciPy and get the most useful package for machine learning in Python. Load a dataset and understand it's structure using statistical summaries and data visualization.
A 24/7 free Machine Learning homework AI tutor that instantly provides personalized step-by-step guidance, explanations, and examples for any Machine Learning homework problem. Improve your grades with our AI homework helper!
This repository contains the exercises, lab works and home works assignment for the Introduction to Machine Learning online class taught by Professor Leslie Pack Kaelbling, Professor Tomás Lozano-P...
Find Machine Learning Tutor - ML Lessons and Classes Get a 1 on 1 online Machine learning tutor for your university course, help in ML homework assignments using Python & R or ML teacher for your professional projects.
Need Machine Learning Assignment Help? Over the last ten years, machine learning has evolved as one of the most in-demand subjects in computer science. Increasingly, students are trying to learn and get hold of this new subject. As you dive deeper into machine learning, you might encounter certain challenges in understanding the subject or get stuck while working on university assignments ...
Get online tutoring for Machine Learning test prep and homework help from private tutors at top universities. Book your first lesson and get the Machine Learning help you need today!
Late homework policy -. Late homeworks will be penalized according to the following policy: Homework is worth full credit at the beginning of class on the due date. It is worth half credit for the next 48 hours. It is worth zero credit after that. Turn in hardcopies of all late homework assignments to Sharon Cavlovich.
Homework Help & Tutoring We offer an array of different online Machine Learning tutors, all of whom are advanced in their fields and highly qualified to instruct you.
The course will also discuss recent applications of machine learning, such as to robotic control, data mining, autonomous navigation, bioinformatics, speech recognition, and text and web data processing.
This resource contains information regarding Mathematics of machine learning assignment 1.
Homeworks There will be one homework (HW) for each topical unit of the course. Due about a week after we finish that unit. These are intended to build your conceptual analysis skills plus your implementation skills in Python. HW0: Numerical Programming Fundamentals HW1: Regression, Cross-Validation, and Regularization HW2: Evaluating Binary Classifiers and Implementing Logistic Regression HW3 ...
Homework 2 Corrections and Clarifications: The original homework assignment stated there was a third optional question. This was incorrect. There are only two required (and no optional) questions. When using the MAP estimate for question 2.5, note that hallucinating each word appearing Beta times in the training set corresponds to having a Dirichlet prior with all parameters equal to (Beta + 1 ...
Stumped by your AI and machine learning homework questions? Study smarter with bartleby's step-by-step business law textbook solutions, a searchable library of homework questions (asked and answered) from your fellow students, and subject matter experts on standby 24/7 to provide homework help when you need it.
Homework 1 -- Numpy and ML. Due: Wednesday, February 14, 2024 at 11:00 PM. Welcome to your first homework! Homeworks are designed to be our primary teaching and learning mechanism, with conceptual, math, and coding questions that are designed to highlight the critical ideas in this course. You may choose to tackle the questions in any order ...
Struggling with machine learning assignments? Conquer your challenges and boost your confidence with Codersarts' expert homework help services. Get personalized support, hands-on coding guidance, and expert advice. Achieve academic success and unlock the potential of machine learning with Codersarts. Free consultation available!
The assignments section provides problem sets, solutions, and supporting files from the course.
Access Introduction to Machine Learning 3rd Edition solutions now. Our solutions are written by Chegg experts so you can be assured of the highest quality!
A 24/7 free homework AI tutor that instantly provides personalized step-by-step guidance, explanations, and examples for any homework problem. Improve your grades with our AI homework helper!
Get personalized homework help for free — for real. Brainly is the knowledge-sharing community where hundreds of millions of students and experts put their heads together to crack their toughest homework questions.
Our PhD experts assure you with A+ grade in Machine Learning Assignment Help and homework help. 10,500+ Clean Executable solutions delivered so far!
Homework 1 -- Numpy and ML. Due: Wednesday, February 15, 2023 at 11:00 PM. Welcome to your first homework! Homeworks are designed to be our primary teaching and learning mechanism, with conceptual, math, and coding questions that are designed to highlight the critical ideas in this course. You may choose to tackle the questions in any order ...