Low-rank matrix factorizations arise in a wide variety of applications -- including recommendation systems, topic models, and source separation, to name just a few. In these and many other applications, it has been widely noted that by incorporating temporal information and allowing for the possibility of time-varying models, significant improvements are possible in practice. However, despite the reported superior empirical performance of these dynamic models over their static counterparts, there is limited theoretical justification for introducing these more complex models. In this paper we aim to address this gap by studying the problem of recovering a dynamically evolving low-rank matrix from incomplete observations. First, we propose the locally weighted matrix smoothing (LOWEMS) framework as one possible approach to dynamic matrix recovery. We then establish error bounds for LOWEMS in both the {\em matrix sensing} and {\em matrix completion} observation models. Our results quantify the potential benefits of exploiting dynamic constraints both in terms of recovery accuracy and sample complexity. To illustrate these benefits we provide both synthetic and real-world experimental results.

When was the idea of a brand born? Maybe it's always been with us--or even before us. The show has some irresistibly charming pieces on view, from human-sized Starbucks cups to a blinding neon sign reading "Bitch, you're a fan" (a reference to Madonna's Instagram account). But perhaps the most provocative piece is a comprehensive timeline of branding, all the way from 1 BC to today, developed by senior manager Lauren Cascio and partner Matt Miksa. The time line begins with a simple argument: that the world has always been branded.

The latest generation of artificially intelligent robots took centre stage recently at the 2016 World Robot Conference held in the Chinese capital Beijing. But one of the stand out devices was a robot that can actually understand the intricacies of the human brain, and how a human thinks. Xiao I has the ability to analyse human languages as well as a huge amount of data, and can assemble the functions of a human brain. The advanced robot can understand and act on user's instructions by analysing the specific context, thanks to its massive database which has accumulated information concerning daily life and industries for decades, according to an exhibitor at the Xiao I booth. "The top four companies representing the best human-computer interaction technology were voted for at a summit in Orlando the day before yesterday. Xiao I ranks as the top one, and others include Apple's Siri, Microsoft's Cortana and Amazon's Echo," said the exhibitor.

The project is an endeavor by the UBS Wealth Innovation Lab in Zurich, led by Dave Bruno. In cooperation with Amazon, the U.S. online warehouse, UBS wants to take its financial expertise to the client, the bank said in a statement on Thursday. The two companies are linking artificial intelligence with digital voice recognition. The laboratory in Zurich also has a project running with nViso, a Lausanne-based software company. The tool – dubbed «Emotionadvisor» – is designed to detect the wishes of customers simply by analyzing their facial expressions.

Between a chat app, two new smartphones and a new in-home avatar, Google's new Assistant is really getting around. While that slow march toward ubiquity continues, it keeps getting smarter, too -- Android Police points out you can now hook up Google Assistant to dozens of new IFTTT recipes, perfect for when you get tired of playing that emoji movies game. Just know this: you can only set up Assistant-enabled IFTTT recipes if you're using a Pixel phone or the (as yet unreleased) Google Home. It was only a matter of time, really. Google Assistant hasn't quite reached its full potential yet, but it's already great at interpreting spoken commands.

Google have snapped up API.AI, a Silicon Valley startup specialising in building tools for natural language understanding in mobiles, web applications and devices. The details of the financial transaction have not been disclosed. Launched in 2014, API.AI quickly recognised the growing trend in companies interested in giving their technology a voice. "We've been constantly impressed by the fast and energetic adoption of the technology from people building conversational interfaces for chatbots, connected cars, smart home devices, mobile applications, wearables, services, robots and more," Ilya Gelfenbeyn, CEO of API.AI, said. The company's API works in three steps.

Apple unveiled a new app - called TV - at its Mac event Thursday, promising users will have all of their digital TV content in one place. The app will bring services from services like HBO, iTunes purchases and live content. Apple's new TV app will be available on iOS and Apple TV and is free. The app also works with Siri, so you can use voice commands to find your favorite shows. The app integrates the single-sign on feature, which was previously introduced earlier this year.

No matter how many USB chargers I accumulate, I can never find one to charge my phone before I climb into bed. The LampChamp won't fix that problem for me because have an atypical bedside lamp, but it might work for you. The LampChamp has a male E27 base on one end, a female E27 socket on the other, and a USB Type A socket on the side that puts out 2.0 amps of power to charge your phone, tablet, or e-reader. If you have a newer phone or any other device that's equipped with a USB Type C charging socket, you've probably already stopped reading. While it will work with a Type C cable that's Type A at the other end, it won't charge your phone as quickly as possible.

Apple on Thursday announced a handful of updates coming to its Apple TV set-top box. The biggest change will be the introduction of a new TV app, which essentially functions as a TV guide for your numerous streaming apps. Here's a closer look at what Apple announced during a media event: Apple's new TV app is designed to surface content from various streaming apps, like HBO Go and Hulu, and house them in one easily browsable place. The "Up Next" section, for example, will act as a hub for content you've already started watching across all of these services. If you started a movie but didn't finish it, the "Up Next" tab will let you pick up where you left off.

Virtual assistants - such as the iPhone's Siri and Microsoft's Cortana - are included on smartphones and computers to make life easier, allowing users to issue commands, such as "call mum", or easily search for nearby facilities such as restaurants and petrol stations. But Eckstein believes five per cent of interactions with his company's chatbot are now sexually explicit. He also claims a third of conversations take place for no particular reason, with many users just wanting to chat. Deborah Harrison, a writer for Microsoft's Cortana, told the Virtual Assistant Summit earlier this year that "a good chunk of the volume of early-on inquiries" were about the chatbot's sex life. The issue has inspired films such as Her, which was released in 2013 and tells the tale of a lonely writer, who becomes obsessed with his operating system's virtual assistant, voiced by Scarlett Johansson.