Matemática aplicada al aprendizaje automático. Learn about the prerequisite mathematics for applications in data science and machine learning

4.5

estrellas

15,711 calificaciones

David Dye +3 instructores más

ofrecido por

Programa especializado: Matemática aplicada al aprendizaje automáticoImperial College London

Qué aprenderás

Implement mathematical concepts using real-world data

Derive PCA from a projection perspective

Understand how orthogonal projections work

Master PCA

Habilidades que obtendrás

Eigenvalues And EigenvectorsPrincipal Component Analysis (PCA)Multivariable CalculusLinear AlgebraBasis (Linear Algebra)Transformation MatrixLinear RegressionVector CalculusGradient DescentDimensionality ReductionPython Programming

Acerca de este Programa Especializado

For a lot of higher level courses in Machine Learning and Data Science, you find you need to freshen up on the basics in mathematics - stuff you may have studied before in school or university, but which was taught in another context, or not very intuitively, such that you struggle to relate it to how it’s used in Computer Science. This specialization aims to bridge that gap, getting you up to speed in the underlying mathematics, building an intuitive understanding, and relating it to Machine Learning and Data Science. In the first course on Linear Algebra we look at what linear algebra is and how it relates to data. Then we look through what vectors and matrices are and how to work with them. The second course, Multivariate Calculus, builds on this to look at how to optimize fitting functions to get good fits to data. It starts from introductory calculus and then uses the matrices and vectors from the first course to look at data fitting. The third course, Dimensionality Reduction with Principal Component Analysis, uses the mathematics from the first two courses to compress high-dimensional data. This course is of intermediate difficulty and will require Python and numpy knowledge. At the end of this specialization you will have gained the prerequisite mathematical knowledge to continue your journey and take more advanced courses in machine learning.

Proyecto de aprendizaje aplicado

Through the assignments of this specialisation you will use the skills you have learned to produce mini-projects with Python on interactive notebooks, an easy to learn tool which will help you apply the knowledge to real world problems. For example, using linear algebra in order to calculate the page rank of a small simulated internet, applying multivariate calculus in order to train your own neural network, performing a non-linear least squares regression to fit a model to a data set, and using principal component analysis to determine the features of the MNIST digits data set.

Resultados profesionales del estudiante

47%

Comenzaste una nueva carrera profesional después de completar este programa especializado.

Certificado para compartir

Obtén un certificado al finalizar

Cursos 100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Cronograma flexible

Establece y mantén fechas de entrega flexibles.

Nivel principiante

No se requiere experiencia previa.

Approximately 4 months to complete

Suggested pace of 4 hours/week

Inglés (English)

Subtítulos: Inglés (English), Árabe (Arabic), Francés (French), Portugués (europeo), Chino (simplificado), Italiano, Vietnamita, Coreano, Alemán (German), Ruso (Russian), Turco (Turkish), Español (Spanish), Griego

Resultados profesionales del estudiante

47%

Comenzaste una nueva carrera profesional después de completar este programa especializado.

Certificado para compartir

Obtén un certificado al finalizar

Cursos 100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.

Cronograma flexible

Establece y mantén fechas de entrega flexibles.

Nivel principiante

No se requiere experiencia previa.

Approximately 4 months to complete

Suggested pace of 4 hours/week

Inglés (English)

Hay 3 cursos en este Programa Especializado

Curso1

Curso 1

Mathematics for Machine Learning: Linear Algebra

4.7

estrellas

9,063 calificaciones

•

1,835 reseña

In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems. Finally we look at how to use these to do fun things with datasets - like how to rotate images of faces and how to extract eigenvectors to look at how the Pagerank algorithm works.

Since we're aiming at data-driven applications, we'll be implementing some of these ideas in code, not just on pencil and paper. Towards the end of the course, you'll write code blocks and encounter Jupyter notebooks in Python, but don't worry, these will be quite short, focussed on the concepts, and will guide you through if you’ve not coded before. At the end of this course you will have an intuitive understanding of vectors and matrices that will help you bridge the gap into linear algebra problems, and how to apply these concepts to machine learning.

Curso2

Curso 2

Mathematics for Machine Learning: Multivariate Calculus

4.7

estrellas

4,331 calificaciones

•

778 reseña

This course offers a brief introduction to the multivariate calculus required to build many common machine learning techniques. We start at the very beginning with a refresher on the “rise over run” formulation of a slope, before converting this to the formal definition of the gradient of a function. We then start to build up a set of tools for making calculus easier and faster. Next, we learn how to calculate vectors that point up hill on multidimensional surfaces and even put this into action using an interactive game. We take a look at how we can use calculus to build approximations to functions, as well as helping us to quantify how accurate we should expect those approximations to be. We also spend some time talking about where calculus comes up in the training of neural networks, before finally showing you how it is applied in linear regression models. This course is intended to offer an intuitive understanding of calculus, as well as the language necessary to look concepts up yourselves when you get stuck. Hopefully, without going into too much detail, you’ll still come away with the confidence to dive into some more focused machine learning courses in future.

Curso3

Curso 3

Mathematics for Machine Learning: PCA

4.0

estrellas

2,317 calificaciones

•

582 reseña

This intermediate-level course introduces the mathematical foundations to derive Principal Component Analysis (PCA), a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values and variances, we'll compute distances and angles between vectors using inner products and derive orthogonal projections of data onto lower-dimensional subspaces. Using all these tools, we'll then derive PCA as a method that minimizes the average squared reconstruction error between data points and their reconstruction.

At the end of this course, you'll be familiar with important mathematical concepts and you can implement PCA all by yourself. If you’re struggling, you'll find a set of jupyter notebooks that will allow you to explore properties of the techniques and walk you through what you need to do to get on track. If you are already an expert, this course may refresh some of your knowledge. The lectures, examples and exercises require: 1. Some ability of abstract thinking 2. Good background in linear algebra (e.g., matrix and vector algebra, linear independence, basis) 3. Basic background in multivariate calculus (e.g., partial derivatives, basic optimization) 4. Basic knowledge in python programming and numpy Disclaimer: This course is substantially more abstract and requires more programming than the other two courses of the specialization. However, this type of abstract thinking, algebraic manipulation and programming is necessary if you want to understand and develop machine learning algorithms.

Instructores

ofrecido por

Imperial College London

Imperial College London is a world top ten university with an international reputation for excellence in science, engineering, medicine and business. located in the heart of London. Imperial is a multidisciplinary space for education, research, translation and commercialisation, harnessing science and innovation to tackle global challenges.

Preguntas Frecuentes

¿Recibiré crédito universitario por completar el programa especializado?
Esta Especialización no otorga crédito universitario, pero algunas universidades pueden aceptar los Certificados de especializaciones para obtener crédito. Consulta con tu institución para obtener más información. Los Títulos en línea y los Certificados Mastertrack™ de Coursera brindan la oportunidad de obtener créditos universitarios.
Can I just enroll in a single course?
Si estás suscrito, obtienes una prueba gratis de 7 días, que podrás cancelar cuando desees sin ningún tipo de penalidad. Una vez transcurrido ese tiempo, no realizamos reembolsos. No obstante, puedes cancelar tu suscripción cuando quieras. Consulta nuestra política completa de reembolsos.
¿Puedo inscribirme en un solo curso?
¡Sí! Para empezar, haz clic en la tarjeta del curso que te interesa e inscríbete. Puedes inscribirte y completar el curso para obtener un certificado que puedes compartir o puedes acceder al curso como oyente para ver los materiales del curso de manera gratuita. Cuando cancelas la suscripción de un curso que forma parte de un programa especializado, se cancela automáticamente la suscripción de todo el programa especializado. Visita el panel del estudiante para realizar un seguimiento de tu progreso.
Can I take the course for free?
Sí, Coursera ofrece ayuda económica a los estudiantes que no pueden pagar la tarifa. Solicítala haciendo clic en el enlace de Ayuda económica que está debajo del botón “Inscribirse” a la izquierda. Se te pedirá que completes una solicitud. Recibirás una notificación en caso de que se apruebe. Deberás completar este paso para cada uno de los cursos que forman parte del Programa especializado, incluido el proyecto final. Obtén más información.
¿Puedo tomar este curso de manera gratuita?
Cuando te inscribes en el curso, tienes acceso a todos los cursos del programa especializado y obtienes un certificado cuando completas el trabajo. Si solo deseas leer y ver el contenido del curso, puedes participar del curso como oyente de manera gratuita. Si no puedes pagar la tarifa, puedes solicitar ayuda económica.
¿Este curso es 100 % en línea? ¿Necesito asistir a alguna clase en persona?
Este curso es completamente en línea, de modo que no necesitas ir a un aula en persona. Puedes acceder a tus lecciones, lecturas y tareas en cualquier momento y cualquier lugar a través de Internet o tu dispositivo móvil.
¿Cuánto tiempo se necesita para completar un programa especializado?
High school maths knowledge is required. Basic knowledge of Python can come in handy, but it is not necessary for courses 1 and 2. For course 3 (intermediate difficulty) you will need basic Python and numpy knowledge to get through the assignments.
Do I need to take the courses in a specific order?
We recommend taking the courses in the order in which they are displayed on the main page of the Specialization.
Will I earn university credit for completing the Specialization?
This is a non-credit Specialization.
¿Recibiré crédito universitario por completar el programa especializado?
At the end of this Specialization you will have gained the prerequisite mathematical knowledge to continue your journey and take more advanced courses in machine learning.

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