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Optimization Methods for Machine Learning

Introduction (ML applications)-topics in Linear system (linear regression)-Basics of Gradient Descent and its variants (logistic regression)-A detailed understanding of Projected Gradient (white-box adversarial attack)and Proximal Gradient (lasso)-Details of Conditional Gradient (recommendation system)-The Sub gradient approach (svm)-Mirror Descent and Metric Gradient methods-Acceleration (total variation denoising)-Smoothing (robust svm)-optimal transport for machine learning -Alternating (VAE)- Minimax (adversarial training)-Averaging (GANs)-Splitting (federated learning)-Extra gradient (

Advanced Deep Learning

Introduction to Neural network and Back propagation-Basics of Tensor flow and Keras-Details on Convolutional Neural Networks and types of different convolutions-recent topics in Recurrent Neural Net-works, LSTM, GRUs-Time series Processing-Details of Transformer Networks for text and Vision- Instance and Semantic Segmentation-Generative Models, VAE-Deep Generative Adversarial Networks- Model Interpretation etc.

Applied Markov Decision Processes and Reinforcement Learning

Review of basic probability and stochastic processes. Introduction to Markov chains. Markov models for discrete time dynamic systems, Reward, Policies, Policy evaluation, Markov decision processes, Optimality criteria, Bellman’s optimality principle, Dynamic programming, Optimality equations, Policy search, Policy iteration, Value iteration. Generalized Policy Iteration, Approximate dynamic programming.

Deep Learning for Computational Data Science

Introduction of deep learning- Foundations of deep learning, basics aspects of machine learning, artificial intelligence, mathematics, statistics, and neurosciences (both theory and applications)- Applications in self-driving cars, new kinds of video games, AI, Automation, object detection and recognition, surveillance tracking etc.- Introduce to Neural networks and Deep learning approaches (mainly Convolutional Neural networks) and give a few typical applications.

Advanced Image Processing

Feature Detection and Characterization, Scale Space idea, Laplacian and Gaussian Derivatives, Differential Invariant Structure–Nonlinear Scale Space, Anisotropic Diffusion, PDE for image processing

Image Enhancement-Noise models, image de-noising using linear filters, order statistics-based filters and wavelet shrinkage methods, image sharpening, image super-resolution using Bayesian methods

Image segmentation: Graph-based techniques, Active Contours, Active Shape Models, Shape Analysis

Pattern Recognition and Machine Learning

PR overview - Feature extraction - Statistical Pattern Recognition - Supervised Learning - Parametric methods - non-parametric methods; ML estimation - Bayes estimation - KNN approaches. Dimensionality reduction, data normalization. Regression, and time series analysis. Linear discriminant functions. Fisher's linear discriminant and linear perceptron. Kernel methods and Support vector machine. Decision trees for classification. Unsupervised learning and clustering. K-means and hierarchical clustering. Decision Trees for classification.

Virtual Reality

Introduction: What is VR, applications, basic components of VR, Success stories of VR and challenges, VR hardware, visualization, VR content generation, and storing. Human Senses and VR: Discussion on how human senses correlate to VR such as Visual system, Auditory System, Olfaction, Gustation, etc.

Three-dimensional geometry theory: coordinate system, Vectors, Line, plane transformation etc. The rendering pipeline: Geometry and vertex operations, culling and clipping, screen mapping, scan conversion or rasterization, fragment processing, texturing, etc.

Multimedia Processing

International standards related to image/video/audio formulated by ISO/IEC/ITU. Short‐term Fourier Transform & Continuous Wave let Transform, CWT and its discretization, Discrete Wavelet Transforms, 2 ‐ D Wavelet Transforms, Coding Techniques in 2 ‐ D Wavelet Transforms, Family of MPEG 1/2/4 (Moving Picture Experts Group), H.26x(x=1,2,3), JPEG/JPEG‐LS/JPEG2000 (Joint Photographic Experts Group), JBIG1/2(Joint Binary Image Group), H.264/MPEG ‐ 4 Part 10 AVC (Advanced Video Coding) and the emerging H.265 standard (HEVC) and latest standard such as H.264 etc.

Computer Vision

Basic topics of computer vision, and image processing -Introduce some fundamental approaches for computer vision research: Image Filtering, Edge Detection, Interest Point Detectors, Motion and Optical Flow, Object Detection and Tracking, Region/Boundary Segmentation, Shape Analysis, and Statistical Shape Models, Deep Learning for Computer Vision, Imaging Geometry, Camera Modeling, and Calibration. Recent Advances in Computer vision.

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