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Denise: Deep Learning based Robust PCA for Positive Semidefinite Matrices

arXiv.org Machine Learning

The robust PCA of high-dimensional matrices plays an essential role when isolating key explanatory features. The currently available methods for performing such a low-rank plus sparse decomposition are matrix specific, meaning, the algorithm must re-run each time a new matrix should be decomposed. Since these algorithms are computationally expensive, it is preferable to learn and store a function that instantaneously performs this decomposition when evaluated. Therefore, we introduce Denise, a deep learning-based algorithm for robust PCA of symmetric positive semidefinite matrices, which learns precisely such a function. Theoretical guarantees that Denise's architecture can approximate the decomposition function, to arbitrary precision and with arbitrarily high probability, are obtained. The training scheme is also shown to convergence to a stationary point of the robust PCA's loss-function. We train Denise on a randomly generated dataset, and evaluate the performance of the DNN on synthetic and real-world covariance matrices. Denise achieves comparable results to several state-of-the-art algorithms in terms of decomposition quality, but as only one evaluation of the learned DNN is needed, Denise outperforms all existing algorithms in terms of computation time.


5 Deep Learning Challenges To Watch Out For

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From your Google voice assistant to your'Netflix and chill' recommendations to the very humble Grammarly -- they're all powered by deep learning. Deep learning has become one of the primary research areas in artificial intelligence. Most of the well-known applications of artificial intelligence, such as image processing, speech recognition and translations, and object identification are carried out by deep learning. Thus, deep learning has the potential to solve most business problems, streamlining your work procedures, or creating useful products for end customers. However, there are certain deep learning challenges that you should be aware of, before going ahead with business decisions involving deep learning.


Introduction to Convolutional Neural Networks - KDnuggets

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Images are made up of pixels. Each pixel is represented by a number between 0 and 255. Therefore each image has a digital representation which is how computers can work with images. There are 4 major operations in CNN image detection/classification. Convolution operation works on 2 signals in 1D and 2 images in 2D.


Udemy Code Convolutional Neural Networks: Zero to Full Real-World Apps

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"The implementation part is very good and up-too the mark. The explanation step by step process is very good." (February 2018). "course done very well; everything is explained in detail; really satisfied!!!" (February 2018). "Difficult topics are simply illustrated and therefore easy to understand." (January 2018).


Advanced AI: Deep Reinforcement Learning in Python

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Online Courses Udemy Advanced AI: Deep Reinforcement Learning in Python, The Complete Guide to Mastering Artificial Intelligence using Deep Learning and Neural Networks Created by Lazy Programmer Team, Lazy Programmer Inc. English [Auto-generated], Indonesian [Auto-generated], 5 more Students also bought Deep Learning: Convolutional Neural Networks in Python Deep Learning: Recurrent Neural Networks in Python Unsupervised Machine Learning Hidden Markov Models in Python Bayesian Machine Learning in Python: A/B Testing Data Science: Supervised Machine Learning in Python Preview this course GET COUPON CODE Description This course is all about the application of deep learning and neural networks to reinforcement learning. If you've taken my first reinforcement learning class, then you know that reinforcement learning is on the bleeding edge of what we can do with AI. Specifically, the combination of deep learning with reinforcement learning has led to AlphaGo beating a world champion in the strategy game Go, it has led to self-driving cars, and it has led to machines that can play video games at a superhuman level. Reinforcement learning has been around since the 70s but none of this has been possible until now. The world is changing at a very fast pace.


Black And White Movies Coloured By Artificial Intelligence

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Colourisation or adding colours to the black and white or monochrome images and videos has witnessed a widespread adoption for a few decades now. Traditional colourisation techniques need a lot of human efforts as well as are costlier. However, with the advent of emerging technologies like artificial intelligence, these two major issues are disappearing slowly. Not only this but also we have witnessed how researchers are using deepfake techniques to swap faces of celebrities and other popular faces around the globe. Let's take a look at the few movies that have been coloured using artificial intelligence.


How to Think Like a Data Scientist - KDnuggets

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Data science is a new and maturing field, with a variety of job functions emerging, from data engineering and data analysis to machine and deep learning. A data scientist must combine scientific, creative and investigative thinking to extract meaning from a range of datasets, and to address the underlying challenge faced by the client. There is an ever-growing amount of data generated in all areas of life -- from retail, transport and finance, to healthcare and medical research. Increases in available computing power and recent advances in artificial intelligence have propelled data scientists -- the people who take the raw data, analyze it, and make it useful and usable -- into the spotlight. Data science has topped the list of 50 best jobs in North America since 2016, based on criteria such as earning potential, reported job satisfaction, and the number of job openings on Glassdoor.


Random Forests (and Extremely) in Python with scikit-learn

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In this guest post, you will learn by example how to do two popular machine learning techniques called random forest and extremely random forests. In fact, this post is an excerpt (adapted to the blog format) from the forthcoming Artificial Intelligence with Python โ€“ Second Edition: Your Complete Guide to Building Intelligent Apps using Python 3.x and TensorFlow 2. Now, before you will learn how to carry out random forests in Python with scikit-learn, you will find some brief information about the book. The new edition of this book, which will guide you to artificial intelligence with Python, is now updated to Python 3.x and TensorFlow 2. Furthermore, it has new chapters that, besides random forests, cover recurrent neural networks, artificial intelligence and Big Data, fundamental use cases, chatbots, and more. Finally, artificial Intelligence with Python โ€“ Second Edition is written by two experts in the field of artificial intelligence; Alberto Artasanches and Pratek Joshi (more information about the authors can be found towards the end of the post). Now, in the next section of this post, you will learn what random forests and extremely random forests are.


From Languages to Information: Another Great NLP Course from Stanford - KDnuggets

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We recently highlighted one of the most acclaimed courses on using deep learning techniques for natural language processing, Stanford's freely available Natural Language Processing with Deep Learning (CS224n). Stanford has another fantastic NLP course which is also freely available online, and which is also taught by a world renowned NLP researcher, academic, and author. The course in question is From Languages to Information (CS124), and it is taught by Dan Jurafsky. Just as with the previous Stanford NLP course profile, let's be clear about a couple of things; first, this isn't a recent occurrence, and the course materials and videos (see below) have been available online for quite some time (the materials were once collected into a Coursera course as well). Second, and possibly more importantly, there is no option to enroll, as this is not a MOOC; it is simply the freely available materials from this world-class course on the foundations of natural language processing.


Complex Sequential Understanding through the Awareness of Spatial and Temporal Concepts

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Understanding sequential information is a fundamental task for artificial intelligence. Current neural networks attempt to learn spatial and temporal information as a whole, limited their abilities to represent large scale spatial representations over long-range sequences. Here, we introduce a new modeling strategy called Semi-Coupled Structure (SCS), which consists of deep neural networks that decouple the complex spatial and temporal concepts learning. Semi-Coupled Structure can learn to implicitly separate input information into independent parts and process these parts respectively. Experiments demonstrate that a Semi-Coupled Structure can successfully annotate the outline of an object in images sequentially and perform video action recognition.