Statistical Learning
A stochastic linearized proximal method of multipliers for convex stochastic optimization with expectation constraints
Zhang, Liwei, Zhang, Yule, Wu, Jia, Xiao, Xiantao
This paper considers the problem of minimizing a convex expectation function with a set of inequality convex expectation constraints. We present a computable stochastic approximation type algorithm, namely the stochastic linearized proximal method of multipliers, to solve this convex stochastic optimization problem. This algorithm can be roughly viewed as a hybrid of stochastic approximation and the traditional proximal method of multipliers. Under mild conditions, we show that this algorithm exhibits $O(K^{-1/2})$ expected convergence rates for both objective reduction and constraint violation if parameters in the algorithm are properly chosen, where $K$ denotes the number of iterations. Moreover, we show that, with high probability, the algorithm has $O(\log(K)K^{-1/2})$ constraint violation bound and $O(\log^{3/2}(K)K^{-1/2})$ objective bound. Some preliminary numerical results demonstrate the performance of the proposed algorithm.
On Stein Variational Neural Network Ensembles
D'Angelo, Francesco, Fortuin, Vincent, Wenzel, Florian
Ensembles of deep neural networks have achieved great success recently, but they do not offer a proper Bayesian justification. Moreover, while they allow for averaging of predictions over several hypotheses, they do not provide any guarantees for their diversity, leading to redundant solutions in function space. In contrast, particle-based inference methods, such as Stein variational gradient descent (SVGD), offer a Bayesian framework, but rely on the choice of a kernel to measure the similarity between ensemble members. In this work, we study different SVGD methods operating in the weight space, function space, and in a hybrid setting. We compare the SVGD approaches to other ensembling-based methods in terms of their theoretical properties and assess their empirical performance on synthetic and real-world tasks. We find that SVGD using functional and hybrid kernels can overcome the limitations of deep ensembles. It improves on functional diversity and uncertainty estimation and approaches the true Bayesian posterior more closely. Moreover, we show that using stochastic SVGD updates, as opposed to the standard deterministic ones, can further improve the performance.
Graph Routing between Capsules
Li, Yang, Zhao, Wei, Cambria, Erik, Wang, Suhang, Eger, Steffen
Routing methods in capsule networks often learn a hierarchical relationship for capsules in successive layers, but the intra-relation between capsules in the same layer is less studied, while this intra-relation is a key factor for the semantic understanding in text data. Therefore, in this paper, we introduce a new capsule network with graph routing to learn both relationships, where capsules in each layer are treated as the nodes of a graph. We investigate strategies to yield adjacency and degree matrix with three different distances from a layer of capsules, and propose the graph routing mechanism between those capsules. We validate our approach on five text classification datasets, and our findings suggest that the approach combining bottom-up routing and top-down attention performs the best. Such an approach demonstrates generalization capability across datasets. Compared to the state-of-the-art routing methods, the improvements in accuracy in the five datasets we used were 0.82, 0.39, 0.07, 1.01, and 0.02, respectively.
The Story of Machine Learning
The first case of neural networks was in 1943, when neurophysiologist Warren McCulloch and mathematician Walter Pitts wrote a paper about neurons, and how they work. They decided to create a model of this using an electrical circuit, and therefore the neural network was born. In 1950, Alan Turing created the world-famous Turing Test. This test is fairly simple for a computer to pass, it has to be able to convince a human that it is a human and not a computer. It was a game which played checkers, created by Arthur Samuel.
TensorFlow 2.x Essentials - 2021 Course
TensorFlow 2.x is now one of the hottest demands in the Data Science market. Because of its customization, ability to handle big data, speed, development of machine learning, deep learning, and probabilistic models and model customization (research and development) make it has huge applications in the industries in the current world. This course covers modelling techniques using TensorFlow 2.x. We start with programming in TensorFlow 2.x which is the essential skill required and then we will do the necessary pre-processing to huge data. Then throughout the course, we will work on building a custom regression model using a gradient descent algorithm in TensorFlow.
Marcin Pionnier on finishing 5th in the RTA competition
I graduated on Warsaw University of Technology with master thesis about text mining topic (intelligent web crawling methods). I work for Polish IT consulting company (Sollers Consulting), where I develop and design various insurance industry related stuff, (one of them is insurance fraud detection platform). From time to time I try to compete in data mining contests (Netflix, competitions on Kaggle and tunedit.org) As far as I remember, the basis of the solution I defined at the very beginning: to create separate predictors for each individual loop and time interval. So my solution required me to build 61x10 610 regression models.
A Complete Data Science Roadmap in 2021
If you want to learn data science from scratch, the first thing you need to do is learn how to code. Pick a programming language (either Python or R), and start learning. I suggest starting out with Python because it is more widely used than R. It is also more general and highly flexible, and you will be able to make the transition to different domains (data analytics, web development) if you have Python knowledge. This DataCamp course will take you through exercises and teach you how to code in Python. What will you learn in this course?
Laplace's Demon: A Seminar Series about Bayesian Machine Learning at Scale - Criteo AI Lab
Machine learning is changing the world we live in at a break neck pace. From image recognition and generation, to the deployment of recommender systems, it seems to be breaking new ground constantly and influencing almost every aspect of our lives. In ths seminar series we ask distinguished speakers to comment on what role Bayesian statistics and Bayesian machine learning have in this rapidly changing landscape. Do we need to optimally process information or borrow strength in the big data era? Are philosophical concepts such as coherence and the likelihood principle relevant when you are running a large scale recommender system?
Let's Develop Artificial Neural Network in 30 lines of code -- II
II Simple yet Complete Guide on how to apply ANN for Regression with K-Fold Validation for accuracy over accuracy OMG! Cheers, Nice to see you again …! Previously we have already learn what is ANN and performed ANN with real life example. If not follow this link. However i will be briefing the definitions of ANN terminologies just in case if i haven't bored you:) I believe you are already aware of how Neural Networks work if not…don't worry,, there are plenty of resource available in web to get started with. However i will too walk you through in brief of what is neuron networks and how it learns?