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Lionel Tondji Ngoupeyou Lydia Knufing ¨ |
Mahmoud Aslan |
Mark Hartenstein |
Mark van der Wilk |
Markus Hegland |
Martin Hewing |
Matthew Alger |
Matthew Lee |
Draft (2023-10-18) of “Mathematics for Machine Learning”. Feedback: https://mml-book.com. |
Foreword 5 |
Maximus McCann |
Mengyan Zhang |
Michael Bennett |
Michael Pedersen |
Minjeong Shin |
Mohammad Malekzadeh Naveen Kumar |
Nico Montali |
Oscar Armas |
Patrick Henriksen |
Patrick Wieschollek |
Pattarawat Chormai |
Paul Kelly |
Petros Christodoulou |
Piotr Januszewski |
Pranav Subramani |
Quyu Kong |
Ragib Zaman |
Rui Zhang |
Ryan-Rhys Griffiths |
Salomon Kabongo |
Samuel Ogunmola |
Sandeep Mavadia |
Sarvesh Nikumbh |
Sebastian Raschka |
Senanayak Sesh Kumar Karri Seung-Heon Baek |
Shahbaz Chaudhary |
Shakir Mohamed |
Shawn Berry |
Sheikh Abdul Raheem Ali Sheng Xue |
Sridhar Thiagarajan Syed Nouman Hasany Szymon Brych |
Thomas Buhler ¨ |
Timur Sharapov |
Tom Melamed |
Vincent Adam |
Vincent Dutordoir |
Vu Minh |
Wasim Aftab |
Wen Zhi |
Wojciech Stokowiec Xiaonan Chong |
Xiaowei Zhang |
Yazhou Hao |
Yicheng Luo |
Young Lee |
Yu Lu |
Yun Cheng |
Yuxiao Huang |
Zac Cranko |
Zijian Cao |
Zoe Nolan |
Contributors through GitHub, whose real names were not listed on their GitHub profile, are: |
SamDataMad |
bumptiousmonkey idoamihai |
deepakiim |
insad |
HorizonP cs-maillist kudo23 |
empet |
victorBigand 17SKYE |
jessjing1995 |
We are also very grateful to Parameswaran Raman and the many anony mous reviewers, organized by Cambridge University Press, who read one or more chapters of earlier versions of the manuscript, and provided con structive criticism that led to considerable improvements. A special men tion goes to Dinesh Singh Negi, our L... |
©2023 M. P. Deisenroth, A. A. Faisal, C. S. Ong. Published by Cambridge University Press (2020). |
6 Foreword Table of Symbols |
Symbol Typical meaning |
a, b, c, α, β, γ Scalars are lowercase |
x, y, z Vectors are bold lowercase |
A, B, C Matrices are bold uppercase |
x⊤, A⊤Transpose of a vector or matrix |
A−1Inverse of a matrix |
⟨x, y⟩ Inner product of x and y |
x⊤y Dot product of x and y |
B = (b1, b2, b3) (Ordered) tuple |
B = [b1, b2, b3] Matrix of column vectors stacked horizontally B = {b1, b2, b3} Set of vectors (unordered) |
Z, N Integers and natural numbers, respectively |
R, C Real and complex numbers, respectively |
Rn n-dimensional vector space of real numbers |
∀x Universal quantifier: for all x |
∃x Existential quantifier: there exists x |
a := b a is defined as b |
a =: b b is defined as a |
a ∝ b a is proportional to b, i.e., a = constant · b |
g ◦ f Function composition: “g after f” |
⇐⇒ If and only if |
=⇒ Implies |
A, C Sets |
a ∈ A a is an element of set A |
∅ Empty set |
A\B A without B: the set of elements in A but not in B D Number of dimensions; indexed by d = 1, . . . , D N Number of data points; indexed by n = 1, . . . , N Im Identity matrix of size m × m |
0m,n Matrix of zeros of size m × n |
1m,n Matrix of ones of size m × n |
ei Standard/canonical vector (where i is the component that is 1) dim Dimensionality of vector space |
rk(A) Rank of matrix A |
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