Data-Driven Science and Engineering
Explora técnicas avanzadas de aprendizaje automático, sistemas dinámicos y control con ejemplos prácticos en Matlab y Python, basados en el libro "Data-Driven Science and Engineering" de Brunton y Kutz.
Engineering Mathematics
Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.
Signals and Systems
This course is a study of signals and systems, covering topics: formal definition of 'signal' and 'system', continuous and discrete signals, continuous and discrete-time systems, Linear Time-Invariant (LTI) systems, representation of continuous and discr…
Principles of Signals and Systems
This course introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication and control systems. Hence, a sound understanding of these principles is necessar…
Visual Analysis of Extremely Dense Crowded Scenes
Analyzing dense crowd scenes using computer vision techniques for counting, detecting, and tracking individuals. Explores multiple data sources, context, and neighborhood motion to address challenges in extremely crowded environments.
Gaussian Integral
Explore 12 diverse methods to solve the Gaussian Integral, from polar coordinates to complex analysis, enhancing your mathematical problem-solving skills and deepening your understanding.
Fourier Analysis
Comprehensive exploration of Fourier analysis, covering series, transforms, and applications. Includes practical implementations in MATLAB and Python for signal processing, PDEs, and image compression.
Linear Algebra
Comprehensive exploration of linear algebra concepts, including SVD, Fourier analysis, and compressed sensing, with practical applications and coding examples in MATLAB and Python.
Mitigating Backdoors in Machine Learning Models - Security and Defense Strategies
Explore techniques for defending against undetectable backdoors in machine learning systems through black-box mitigation strategies, focusing on binary classification and regression models.
Standard and Less Standard Asymptotic Methods - Lecture 3
Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.
Fourier Summation Formulas and Quasicrystals - Part 1
Explore Fourier summation formulas and quasicrystals in this advanced mathematics seminar. Gain insights into complex mathematical concepts and their applications.
Multiplayer Parallel Repetition for Three-Player Games on Binary Inputs
Explorez la répétition parallèle dans les jeux multijoueurs, en mettant l'accent sur les jeux à trois joueurs avec entrées binaires. Découvrez les dernières avancées et techniques d'analyse.
Hans Feichtinger- Fourier Analysis via the Banach Gelfand Triple
Explore Gabor analysis foundations using MATLAB, focusing on finite Abelian groups and matrix analysis methods. Learn to apply abstract harmonic analysis concepts to signal processing problems.
Endpoint Fourier Restriction and Unrectifiability
Explore endpoint Fourier restriction and its connection to measure unrectifiability in R^d, featuring a dichotomy between absolute continuity and 1-pure unrectifiability.
Betsy Stovall- Fourier Restriction to the Sphere Is Extremizable More Often Than Not
Explore Fourier restriction to the sphere, focusing on extremizers and their prevalence. Delve into proofs, key limits, and spatial decomposition in this mathematical analysis.
Terence Tao- The Circle Method from the Perspective of Higher Order Fourier Analysis
Explore higher order Fourier analysis and its application to the circle method, offering new perspectives on multilinear averages and complex mathematical problems.
Jonathan Hickman: The Helical Maximal Function
Explore the helical maximal function in R3, its Lp boundedness, and related Fourier analytic tools. Gain insights into space curves and geometric measure theory.
Ciprian Demeter - Restriction of Exponential Sums to Hypersurfaces
Explore exponential sums on hypersurfaces, focusing on sharp moment inequalities and scale-independent results. Gain insights into critical exponents and Hardy-Littlewood lemmas.
Weighted Fourier Extension Estimates and Applications
Explore weighted Fourier extension estimates and their applications in PDEs and geometric measure theory, covering topics like Fourier restriction, SME, and Falconer's distance set problem.
Ryan O'Donnell Tutorial on Hardness of Approximation - Part 3
Explore advanced concepts in approximation algorithms, focusing on Max 3-Lin, Fourier analysis, and edge weights in optimization problems.
Fourier Analysis of Boolean Functions - Lecture 8a of CS Theory Toolkit
Explore Fourier analysis of Boolean functions, focusing on real-valued functions and their Fourier transforms in this graduate-level theoretical computer science lecture.