Deep Learning in Personalized Music Emotion Recognition
Music has a unique power to evoke strong emotions in us--bringing us to tears, lifting us into ecstasy or triggering vivid memories. Often described as a universal language, it conveys feelings that transcend words. But are machines, too, able to understand this language and capture emotions conveyed in music? This book delves into the field of Musical Emotion Recognition (MER), aiming to develop a mathematical model to predict the emotional content of music. It explores the fundamentals of this interdisciplinary research area, including the relationship between music and emotions, mathematical representations of music and deep learning algorithms. Two MER models are developed and evaluated: one employing handcrafted audio features with a long short-term memory architecture and the other using embeddings from the pre-trained music understanding model MERT. Results show that MERT embeddings can enhance predictions compared to traditional handcrafted features. Additionally, driven by the subjectivity of musical emotions and the low inter-rater agreement of annotations, this book investigates personalized emotion recognition. The findings suggest that personalized models surpass the limitations of general MER systems and can even outperform a theoretically perfect general MER system.
Game Theory for Applied Econometricians
Over the last 30 years the practice and use of game theory has changed dramatically, yet textbooks continue to present game theory with algebraic formalism and toy models. This book, on the other hand, illustrates game theory concepts using real-world data and analyses problems with real policy implications.
Functional Differential Geometry
An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory. Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Mis矇rables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level. The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.
Complex Analysis and Dynamics in One Variable with Applications
Geometric Deformations of Discriminants and Apparent Contours
Metrical and Ergodic Theory of Continued Fraction Algorithms
This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades. The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, θ-continued fractions, N-continued fractions, and generalized R矇nyi continued fractions. The book systematically lays out the required preliminaries, making the book easy to read. This monograph provides a solid introduction into the theory of continued fractions. The book is intended for researchers in metrical theory, as well as advanced graduate students and mathematicians interested in this field.
Generalization of Some Inequalities for Rational Functions with Prescribed Poles
Introduction to Linear Algebra with Earth Science Applications
This is a Linear Algebra textbook specifically designed for students who are majoring in any Earth Science-related subjects like Geophysics and Atmospheric Sciences, and are also interested in Mathematics. With these target readers in mind, we set out to provide an adequate treatment of Linear Algebra concepts that enables them to tackle relevant Earth Science problems. It aims at striking a balance between mathematical theories and physical (mainly Earth Science) applications. For the first part, it contains a comprehensive review ofMatrix and Vector OperationsVector (Inner Product) Spaces and Linear TransformationsEigenvalues/Eigenvectors and Diagonalization, and moreMeanwhile, the topics of the second part include: Principal Component Analysis (PCA)Least-square Linear RegressionDiscrete Fourier Transform (DFT)Markov ChainsMatrix Factorization Methods such as Cholesky/L(D)U/SVDDynamical SystemsContinuum MechanicsData AssimilationIn each chapter, we focus on a selected Linear Algebra topic, motivated by Earth Science examples (if available) and supplemented with Python programming tutorials. At the end of each chapter, a number of exercises (answered, a total of 136) are given for elucidating the concepts and working on Earth Science projects. This book also provides several colored figures for illustration.
Game-Based Learning, Gamification in Education and Serious Games 2023
In a world where video games are more than just entertainment, Current Advances in Serious Games, Game-based Learning and Gamification in Education explores the transformative power of games in shaping learning, awareness, and engagement. This collection highlights groundbreaking research on game-based learning, digital intelligence, and adaptive gamification. Featuring insights from leading experts, it examines how serious games combat misinformation, enhance media literacy, promote cultural heritage, and personalize educational experiences. Whether you are an educator, researcher, developer, or game enthusiast, this book provides a compelling look at how games are revolutionizing education, training, and social awareness. Dive into the cutting-edge world where learning meets play!
Deep Learning model for prediction and prevention of COVID-19 outbreak
Surveys in Combinatorics 2024
This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of London in July 2024. Each article provides an overview of recent developments in a current hot research topic in combinatorics. Topics covered include: Latin squares, Erdős covering systems, finite field models, sublinear expanders, cluster expansion, the slice rank polynomial method, and oriented trees and paths in digraphs. The authors are among the world's foremost researchers on their respective topics but their surveys are accessible to nonspecialist readers: they are written clearly with little prior knowledge assumed and with pointers to the wider literature. Taken together these surveys give a snapshot of the research frontier in contemporary combinatorics, helping researchers and graduate students in mathematics and theoretical computer science to keep abreast of the latest developments in the field.
How Did You Count?
"I hope that this Teacher's Guide supports your own inquiry into children's mathematics, and I hope that the images elicit brilliance from the children you do math with--wherever you and they may count."From the author of the award-winning Which One Doesn't Belong? and How Many? comes How Did You Count?, the latest title in Christopher Danielson's collection that is sure to spark conversation, questioning, and wondering amongst both younger and older students alike.In this innovative Teacher's Guide, Danielson gives you the tools you need to both begin and dig deeper into the How Did You Count? routine. In clear, accessible language, Danielson discusses the mathematical ideas likely to emerge on each page of the How Did You Count? picture book and helps you anticipate and understand your students' likely answers. Through classroom stories, he models listening to, talking about, and delighting in students' ideas around counting, numbers, and operations.Reading this Teacher's Guide alongside your copy of the How Did You Count? children's picture book will help you and your students discover together how the beauty of counting and numerical relationships and structure extends far beyond 1, 2, 3.This listing is for the Teacher's Guide only. There is also a Teacher's Guide and How Did You Count? picture book set available.
Proof
An award-winning mathematician shows how we prove what's true, and what to do when we can't "Engaging and uncondescending" - Financial Times How do we establish what we believe? And how can we be certain that what we believe is true? And how do we convince other people that it is true? For thousands of years, from the ancient Greeks to the Arabic golden age to the modern world, science has used different methods--logical, empirical, intuitive, and more--to separate fact from fiction. But it all had the same goal: find perfect evidence and be rewarded with universal truth. As mathematician Adam Kucharski shows, however, there is far more to proof than axioms, theories, and laws: when demonstrating that a new medical treatment works, persuading a jury of someone's guilt, or deciding whether you trust a self-driving car, the weighing up of evidence is far from simple. To discover proof, we must reach into a thicket of errors and biases and embrace uncertainty--and never more so than when existing methods fail. Spanning mathematics, science, politics, philosophy, and economics, this book offers the ultimate exploration of how we can find our way to proof--and, just as importantly, of how to go forward when supposed facts falter.
How Did You Count?
Winner of the 2026 Mathical Book Prize!From the author of the award-winning Which One Doesn't Belong? and How Many? comes How Did You Count?, the latest title in Christopher Danielson's collection that is sure to spark conversation, questioning and wondering amongst both younger and older students alike.This listing is for a hard cover copy of the children's picture book. There is also a Teacher's Guide / Picture book set and a 5-pack of the softcover picture book available.
