The Effort to Build the Mathematical Library of the Future

“In one crazy weekend I spent 12 hours a day [on it],” she said. “It was totally addictive.”

Other mathematicians talk about the experience the same way. They say working in Lean feels like playing a video game—complete with the same reward-based neurochemical rush that makes it hard to put the controller down. “You can do 14 hours a day in it and not get tired and feel kind of high the whole day,” Livingston said. “You’re constantly getting positive reinforcement.”

As Sébastien Gouëzel worked on defining a “smooth manifold” for mathlib, he had to balance specificity with flexibility.Courtesy of Sebastian Gouezel

Still, the Lean community recognizes that for many mathematicians, there just aren’t enough levels to play.

“If you were to quantify how much of mathematics is formalized, I’d say it’s way less than one-thousandth of one percent,” said Christian Szegedy, an engineer at Google who is working

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IBM advanced Project Debater effort with Key Point Analysis

IBM has developed a natural language processing advance via its Project Debater effort called Key Point Analysis that aims to use artificial intelligence to sum up crowd-sourced arguments.

The technology, led by IBM Research, is being showcased on Bloomberg TV’s “That’s Debatable” show. The show aired Friday and featured a debate on wealth distribution with US Secretary of Labor Robert Reich, former Greece finance minister Yanis Varoufakis, former US Treasury Secretary Larry Summers and Manhattan Institute’s Allison Schrager.

Noam Slonim, lead researcher for IBM’s Project Debater effort, said the goal of Key Point Analysis is to “enable AI systems to manage the human language.” “There’s a significant opportunity for using national language processing,” he said.

Primers: What is AI? | What is machine learning? | What is deep learning? | What is artificial general intelligence?    

In the debut episode of “That’s Debatable,” IBM used Key Point Analysis to distill points

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Google Makes Concessions in Effort to Buy Fitbit

EU officials said in August that Google’s initial pledge to refrain from using Fitbit data for advertising purposes was insufficient.



Photo:

filip singer/Shutterstock

BRUSSELS—Google’s plan to buy health-tracker

Fitbit

is inching toward approval in Europe after the U.S. tech company made new concessions to competitors using its Android system for mobile devices.

European Union officials in August launched an in-depth probe into the

Alphabet Inc.


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unit’s acquisition plans, saying that Google’s initial pledge to refrain from using Fitbit data for advertising purposes was insufficient. The $2.1 billion deal is also under review by the U.S. Justice Department and by Australia’s competition authority.

The review of the Fitbit deal comes as Google and other U.S.-based tech companies face intense scrutiny in both the EU and the U.S. for allegedly anticompetitive practices. Some tech critics also say tech companies have used acquisitions to eliminate

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Columbia leads effort to develop a quantum simulator

Columbia leads effort to develop a quantum simulator
Columbia is one of 11 institutions nationwide to receive a Phase One National Science Foundation Convergence Accelerator award for quantum technology. The program is designed to foster multidisciplinary, cross-sector research in emerging areas of critical societal importance. Credit: NSF

Quantum technologies—simulators and computers specifically—have the potential to revolutionize the 21st century, from improved national defense systems to drug discovery to more powerful sensors and communication networks.


But the field still needs to make major advances before quantum computing can surpass existing tools to process information and live up to its promise.

A multidisciplinary research team led by Columbia University is in a position to bring quantum technology out of the lab into real-world applications.

The team has received a $1 million National Science Foundation (NSF) Convergence Accelerator award to build a quantum simulator, a device that can solve problems that are difficult to simulate on classical computers. The project includes

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