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Exact and approximate inference in graphical models: variable elimination and beyond

arXiv.org Artificial Intelligence

Probabilistic graphical models offer a powerful framework to account for the dependence structure between variables, which is represented as a graph. However, the dependence between variables may render inference tasks intractable. In this paper we review techniques exploiting the graph structure for exact inference, borrowed from optimisation and computer science. They are built on the principle of variable elimination whose complexity is dictated in an intricate way by the order in which variables are eliminated. The so-called treewidth of the graph characterises this algorithmic complexity: low-treewidth graphs can be processed efficiently. The first message that we illustrate is therefore the idea that for inference in graphical model, the number of variables is not the limiting factor, and it is worth checking for the treewidth before turning to approximate methods. We show how algorithms providing an upper bound of the treewidth can be exploited to derive a 'good' elimination order enabling to perform exact inference. The second message is that when the treewidth is too large, algorithms for approximate inference linked to the principle of variable elimination, such as loopy belief propagation and variational approaches, can lead to accurate results while being much less time consuming than Monte-Carlo approaches. We illustrate the techniques reviewed in this article on benchmarks of inference problems in genetic linkage analysis and computer vision, as well as on hidden variables restoration in coupled Hidden Markov Models.


The Top Data Science Courses at Udemy

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There's no doubt about it - Data Science is big news right now. We see it on the news every day, the increasing number of news stories about Big Data, the Internet of Things, Deep Learning, Artificial Intelligence, smart cars, smart cities, smart politicians. OK, maybe I went a bit too far with that last one... Every month I get an email from Udemy telling me which courses are their best sellers. The list isn't about Data Science, but there are always plenty of Data Science courses right up there at the top of the list. We decided to share this resource with you, and so here are Udemy's top selling courses.


A Complete Tutorial to Learn Data Science with Julia from Scratch

@machinelearnbot

The above line tells a lot about why I chose to write this article. I came across Julia a while ago even though it was in its early stages, it was still creating ripples in the numerical computing space. Julia is a work straight out of MIT, a high-level language that has a syntax as friendly as Python and performance as competitive as C. This is not all, It provides a sophisticated compiler, distributed parallel execution, numerical accuracy, and an extensive mathematical function library. But this article isn't about praising Julia, it is about how can you utilize it in your workflow as a data scientist without going through hours of confusion which usually comes when we come across a new language. Before we can start our journey into the world of Julia, we need to set up our environment with the necessary tools and libraries for data science. Jupyter notebook has become an environment of choice for data science since it is really useful for both fast experimenting and documenting your steps.


This Is Why AI Might Actually Help Your Career And How To Take Advantage Of It

#artificialintelligence

If the idea of machine learning and artificial intelligence freaks you out, don't worry. In fact, most employees shared a positive outlook about adopting the technology. According to Forbes, "The majority thought that technology will not only make jobs easier, it will also take away many of the mundane tasks we have to perform, thus freeing us up for more enjoyable work." As machine learning and AI become more integrated into the workplace, it will benefit you to understand how the technology works, even if you're not a software engineer or master programmer. This Machine Learning & AI for Business Bundle gives you that understanding, teaching you the basics (and far beyond) about machine learning and AI.


Artificial Intelligence and Education

@machinelearnbot

The development of artificial intelligence (AI) has had a huge influence on today's society, as ongoing discussions evaluate the impacts of creating machines and computer systems that can react and perform like humans. These systems can process information in a more cognitive way, making them capable of more human-like functions like learning, decision-making, and visual perception. Hollywood portrayals of hyper-intelligent robots taking over the planet might make artificial intelligence seem intimidating, but there is a lot that can be gained by through these advanced computer systems. Without the element of human error, intelligent machines are capable of unmatched precision and accuracy, and since they don't require fundamental human needs like oxygen or food, they can perform tasks with far fewer limitations. In fact, AI is already popping up everywhere in our daily lives – through social media recommendations, virtual assistants on our smartphones, and even self-driving cars.


Google makes its artificial intelligence and machine learning courses open to the public

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Last week Google announced that it will be making its artificial intelligence (AI) and machine learning (ML) courses available to everyone. In order to help, everyone understands how AI can solve challenging problems and to make learning resources available, Google has created a new platform called Learn with Google AI. Zuri Kemp, who leads Google's machine learning education effort, wrote in a blog post that the aim of this initiative is making AI and its benefits accessible to everyone. "Part of Google AI's mission is to help anyone interested in machine learning succeed -- from researchers to developers and companies, to students," wrote Kemp. Learn with Google AI website provides ways to learn about core ML concepts, develop and hone ML skills, and apply ML to real-world problems.


Top 10 Free Machine Learning Courses To Study Online

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"Machine learning is a field of study that gives computers the ability to learn without being explicitly programmed" -- Arthur Samuel, 1959. Machine learning and artificial intelligence have been a rising field of research in both the corporate and the academic world. Machine learning proves to be incredibly powerful when it comes to making predictions or calculated suggestions that are based on large amounts of data. If an individual wants to master machine learning, how do you start and from where? In order to learn about Machine Learning, one not only needs a keen interest in it but also have the right resources.


What are the best resources to learn about deep learning? - Quora

@machinelearnbot

Neural networks and deep learning is a great website that goes step by step into neural network architectures, loss functions used etc. It should be very easy to read if you have a bit of math background. CS231N lecture notes from here: CS231n Convolutional Neural Networks for Visual Recognition (notes), and CS231n: Convolutional Neural Networks for Visual Recognition (lecture slides) Once you are familiar with the basics and the terminology (which is not much I should say), you can read tutorials of deep learning software such as Caffe (Caffe Deep Learning Framework, read through the Example section), and Theano (Deep Learning Tutorials). If you are feeling adventurous, you can also look through the proceedings and submitted papers for conferences such as ICLR and NIPS. Deep learning being a fast growing area, once you understand the basics it should not be much of an effort to understand what is being talked about in most of the papers.


ECC to launch Japanese course in Philippines

The Japan Times

MANILA – English school chain ECC Co. will launch a Japanese course in the Philippines in June in partnership with a local college amid growing interest in the language among Filipinos. The Osaka-based firm and the University of Perpetual Help plan to provide a 6-month e-learning program, including a weekly supplementary lecture, for 35,000 pesos (¥72,000), targeting employees of Japanese affiliates and those planning to study and work in Japan, the company said. ECC's first Japanese-language course overseas aims to cater to an increasing number of Filipinos taking the Japanese Language Proficiency Test, a widely used exam for evaluating and certifying the language proficiency of nonnative speakers, it said. In 2017, a record 14,062 Filipinos took the exam, up 21 percent from the previous year, while the tally for all examinees topped 1 million for the first time, according to the Japan Foundation, which administers the test. The private university, founded in 1975, has three campuses in the south of Manila with about 2,000 employees and some 18,000 students, according to ECC.


10 Examples of Linear Algebra in Machine Learning - Machine Learning Mastery

@machinelearnbot

Linear algebra is a sub-field of mathematics concerned with vectors, matrices, and linear transforms. It is a key foundation to the field of machine learning, from notations used to describe the operation of algorithms to the implementation of algorithms in code. Although linear algebra is integral to the field of machine learning, the tight relationship is often left unexplained or explained using abstract concepts such as vector spaces or specific matrix operations. In this post, you will discover 10 common examples of machine learning that you may be familiar with that use, require and are really best understood using linear algebra. In this post, we will review 10 obvious and concrete examples of linear algebra in machine learning.