DeepMind Cracks ‘Knot’ Conjecture That Bedeviled Mathematicians For Decades

The artificial intelligence (AI) program DeepMind has gotten closer to proving a math conjecture that’s bedeviled mathematicians for decades and revealed another new conjecture that may unravel how mathematicians understand knots. Live Science reports: The two pure math conjectures are the first-ever important advances in pure mathematics (or math not directly linked to any non-math application) generated by artificial intelligence, the researchers reported Dec. 1 in the journal Nature. […] The first challenge was setting DeepMind onto a useful path. […] They focused on two fields: knot theory, which is the mathematical study of knots; and representation theory, which is a field that focuses on abstract algebraic structures, such as rings and lattices, and relates those abstract structures to linear algebraic equations, or the familiar equations with Xs, Ys, pluses and minuses that might be found in a high-school math class.

In understanding knots, mathematicians rely on something called invariants, which are algebraic, geometric or numerical quantities that are the same. In this case, they looked at invariants that were the same in equivalent knots; equivalence can be defined in several ways, but knots can be considered equivalent if you can distort one into another without breaking the knot. Geometric invariants are essentially measurements of a knot’s overall shape, whereas algebraic invariants describe how the knots twist in and around each other. “Up until now, there was no proven connection between those two things,” [said Alex Davies, a machine-learning specialist at DeepMind and one of the authors of the new paper], referring to geometric and algebraic invariants. But mathematicians thought there might be some kind of relationship between the two, so the researchers decided to use DeepMind to find it. With the help of the AI program, they were able to identify a new geometric measurement, which they dubbed the “natural slope” of a knot. This measurement was mathematically related to a known algebraic invariant called the signature, which describes certain surfaces on knots.

In the second case, DeepMind took a conjecture generated by mathematicians in the late 1970s and helped reveal why that conjecture works. For 40 years, mathematicians have conjectured that it’s possible to look at a specific kind of very complex, multidimensional graph and figure out a particular kind of equation to represent it. But they haven’t quite worked out how to do it. Now, DeepMind has come closer by linking specific features of the graphs to predictions about these equations, which are called Kazhdan-Lusztig (KL) polynomials, named after the mathematicians who first proposed them. “What we were able to do is train some machine-learning models that were able to predict what the polynomial was, very accurately, from the graph,” Davies said. The team also analyzed what features of the graph DeepMind was using to make those predictions, which got them closer to a general rule about how the two map to each other. This means DeepMind has made significant progress on solving this conjecture, known as the combinatorial invariance conjecture.

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China ‘Modified’ the Weather To Create Clear Skies For Political Celebration, Study Finds

Chinese weather authorities successfully controlled the weather ahead of a major political celebration earlier this year, according to a Beijing university study. The Guardian reports: On 1 July the Chinese Communist party marked its centenary with major celebrations including tens of thousands of people at a ceremony in Tiananmen Square, and a research paper from Tsinghua University has said an extensive cloud-seeding operation in the hours prior ensured clear skies and low air pollution. […] On Monday the South China Morning Post reported a recent research paper which found definitive signs that a cloud-seeding operation on the eve of the centenary had produced a marked drop in air pollution.

The centenary celebration faced what the paper reportedly termed unprecedented challenges, including an unexpected increase in air pollutants and an overcast sky during one of the wettest summers on record. Factories and other polluting activities had been halted in the days ahead of the event but low airflow meant the pollution hadn’t dissipated, it said. The paper, published in the peer-reviewed Environmental Science journal and led by environmental science professor, Wang Can, said a two-hour cloud-seeding operation was launched on the eve of the ceremony, and residents in nearby mountain regions reported seeing rockets shot into the sky on 30 June. The paper said the rockets were carrying silver iodine into the sky to stimulate rainfall.

The researchers said the resulting artificial rain reduced the level of PM2.5 air pollutants by more than two-thirds, and shifted the air quality index reading, based on World Health Organization standards, from “moderate” to “good.” The team said the artificial rain “was the only disruptive event in this period,” so it was unlikely the drop in pollution had a natural cause.

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Meta Has a ‘Moral Obligation’ To Make Its Mental Health Research Transparent, Scientists Say

In an open letter to Mark Zuckerberg published Monday, a group of academics called for Meta to be more transparent about its research into how Facebook, Instagram, and WhatsApp affect the mental health of children and adolescents. The Verge reports: The letter calls for the company to allow independent reviews of its internal work, contribute data to external research projects, and set up an independent scientific oversight group. “You and your organizations have an ethical and moral obligation to align your internal research on children and adolescents with established standards for evidence in mental health science,” the letter, signed by researchers from universities around the world, reads.

The open letter comes after leaks from Facebook revealed some data from the company’s internal research, which found that Instagram was linked with anxiety and body image issues for some teenage girls. The research released, though, is limited and relied on subjective information collected through interviews. While this strategy can produce useful insights, it can’t prove that social media caused any of the mental health outcomes. The information available so far appears to show that the studies Facebook researchers conducted don’t meet the standards academic researchers use to conduct trials, the new open letter said. The information available also isn’t complete, the authors noted — Meta hasn’t made its research methods or data public, so it can’t be scrutinized by independent experts. The authors called for the company to allow independent review of past and future research, which would include releasing research materials and data.

The letter also asked Meta to contribute its data to ongoing independent research efforts on the mental health of adolescents. It’s a longstanding frustration that big tech companies don’t release data, which makes it challenging for external researchers to scrutinize and understand their products. “It will be impossible to identify and promote mental health in the 21st century if we cannot study how young people are interacting online,” the authors said. […] The open letter also called on Meta to establish an independent scientific trust to evaluate any risks to mental health from the use of platforms like Facebook and Instagram and to help implement “truly evidence-based solutions for online risks on a world-wide scale.” The trust could be similar to the existing Facebook Oversight Board, which helps the company with content moderation decisions.

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Magnus Carlsen Wins Longest World Chess Championship Game of All Time

PlayStation Plans New Service To Take On Xbox Game Pass

Sony Group’s PlayStation division is planning a new subscription service to compete with rival Microsoft’s popular Xbox Game Pass, according to people familiar with Sony’s plans and documents reviewed. Blooomberg: The service, code-named Spartacus, will allow PlayStation owners to pay a monthly fee for access to a catalog of modern and classic games, said the people, who asked not to be identified because they weren’t authorized to speak to the press about the plans. The offering will likely be available on the smash hit PlayStation 4, which has sold more than 116 million units, and its elusive successor, the PlayStation 5, which launched more than a year ago but is still difficult to buy due to supply chain issues.

When it launches, expected in the spring, the service will merge Sony’s two existing subscription plans, PlayStation Plus and PlayStation Now. Currently, PlayStation Plus is required for most online multiplayer games and offers free monthly titles, while PlayStation Now allows users to stream or download older games. Documents reviewed by Bloomberg suggest that Sony plans to retain the PlayStation Plus branding but phase out PlayStation Now.

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Razer’s Qualcomm-powered Handheld Console Leaks

Qualcomm appears to be collaborating with Razer on a new gaming handheld developer kit built around its upcoming Snapdragon G3X processor. From a report: Leaked slides published by VideoCardz call the device a “Snapdragon G3X Handheld Developer Kit,” suggesting it will primarily be aimed at software developers and manufacturers to help them build their own software and hardware powered by Qualcomm’s mobile gaming technology. Alongside it, VideoCardz has also obtained slides detailing Qualcomm’s next flagship smartphone processor, the Snapdragon 8 Gen 1. The name shows off Qualcomm’s new branding for its mobile chips announced last month. The processor will reportedly be manufactured using a 4nm process, with a CPU that’s 20 percent faster and 30 percent more power efficient, and a GPU that’s 30 percent faster and 25 percent more power efficient than previous generation models.

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Comcast Reduced ‘Working Latency’ By 90% with AQM. Is This the Future?

Long-time Slashdot reader mtaht writes:

Comcast fully deployed bufferbloat fixes across their entire network over the past year, demonstrating 90% improvements in working latency and jitter — which is described in this article by by Comcast Vice President of Technology Policy & Standards. (The article’s Cumulative Distribution Function chart is to die for…) But: did anybody notice? Did any other ISPs adopt AQM tech? How many of y’all out there are running smart queue management (sch_cake in linux) nowadays?

But wait — it gets even more interesting…

The Comcast official anticipates even less latency with the newest Wi-Fi 6E standard. (And for home users, the article links to a page recommending “a router whose manufacturer understands the principles of bufferbloat, and has updated the firmware to use one of the Smart Queue Management algorithms such as cake, fq_codel, PIE.”)
But then the Comcast VP looks to the future, and where all of this is leading:
Currently under discussion at the IETF in the Transport Area Working Group is a proposal for Low Latency, Low Loss Scalable Throughput. This potential approach to achieve very low latency may result in working latencies of roughly one millisecond (though perhaps 1-5 milliseconds initially). As the IETF sorts out the best technical path forward through experimentation and consensus-building (including debate of alternatives), in a few years we may see the beginning of a shift to sub-5 millisecond working latency. This seems likely to not only improve the quality of experience of existing applications but also create a network foundation on which entirely new classes of applications will be built.

While we can certainly think of usable augmented and virtual reality (AR and VR), these are applications we know about today. But what happens when the time to access resources on the Internet is the same, or close to the time to access local compute or storage resources? What if the core assumption that developers make about networks — that there is an unpredictable and variable delay — goes away? This is a central assumption embedded into the design of more or less all existing applications. So, if that assumption changes, then we can potentially rethink the design of many applications and all sorts of new applications will become possible. That is a big deal and exciting to think about the possibilities!
In a few years, when most people have 1 Gbps, 10 Gbps, or eventually 100 Gbps connections in their home, it is perhaps easy to imagine that connection speed is not the only key factor in your performance. We’re perhaps entering an era where consistently low working latency will become the next big thing that differentiates various Internet access services and application services/platforms. Beyond that, factors likely exceptionally high uptime, proactive/adaptive security, dynamic privacy protection, and other new things will likely also play a role. But keep an eye on working latency — there’s a lot of exciting things happening!

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‘Advent of Code’ Has Begun – and Other Geeky Daily Programming Challenges

I Programmer writes:
December 1st is much anticipated among those who like programming puzzles. It is time to start collecting stars by solving small puzzles on the Advent of Code website with the goal of amassing 50 stars by Christmas Day, December 25th. Raku has also opened its advent calendar and there’s a brand new Bekk Christmas blog with informational content on multiple topics… At the time of writing we are only 10.5 hours into Advent of Code’s Day 1, almost 50,000 users have completed both puzzles and another 8,484 have completed the first. [Some programmers are even livestreaming their progress on Twitch, or sharing their thoughts (and some particuarly creative solutions) in the Advent of Code subreddit.]

We can credit Perl with pioneering the idea of a programming advent calendar with daily articles with a festive theme and the Raku Advent Calendar now continues the tradition. Now in its 13th year, but only the third with its new name this year’s first advent post solves a problem faced by Santa of creating thumbnails of approaching 2 billion images…

Smashing magazine has pulled together its own exhaustive list of additional geek-themed advent calendars. Some of the other highlights:

The beloved site “24 Pull Requests” has relaunched for 2021, daring participants to make 24 pull requests before December 24th. (The site’s tagline is “giving back to open source for the holidays.”) Over the years 26,465 contributors (as well as 25,738 organizations) have already participated through the site.
The Advent of JavaScript and Advent of CSS sites promise 24 puzzles delivered by email (though you’ll have to pay if you also want them to email you the solutions!)

This year also saw daily challenges from the sixth annual Code Security advent calendar being announced on Twitter, while TryHackMe.com has its own set of cybersecurity puzzles (and even a few prizes).

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Those Cute Cats Online? They Help Spread Misinformation

“Videos and GIFs of cute animals — usually cats — have gone viral online for almost as long as the internet has been around…” writes the New York Times.

“Now, it is becoming increasingly clear how widely the old-school internet trick is being used by people and organizations peddling false information online, misinformation researchers say.”

The posts with the animals do not directly spread false information. But they can draw a huge audience that can be redirected to a publication or site spreading false information about election fraud, unproven coronavirus cures and other baseless conspiracy theories entirely unrelated to the videos. Sometimes, following a feed of cute animals on Facebook unknowingly signs users up as subscribers to misleading posts from the same publisher. Melissa Ryan, chief executive of Card Strategies, a consulting firm that researches disinformation, said this kind of “engagement bait” helped misinformation actors generate clicks on their pages, which can make them more prominent in users’ feeds in the future. That prominence can drive a broader audience to content with inaccurate or misleading information, she said.

“The strategy works because the platforms continue to reward engagement over everything else,” Ms. Ryan said, “even when that engagement comes from” publications that also publish false or misleading content.

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World’s Oldest Person Dies at Age 124

Slashdot reader ellithligraw brings the news that the oldest person on earth has died in the Philippines this week at age 124.

CNN Philippines reports:

Susano was born on Sept. 11, 1897, which was before the country became independent from Spanish rule. As of September this year, Guinness World Records was still verifying the documents needed for her to be officially declared as the world’s oldest living person.

NextShark calls Susano "the last surviving person born in the 19th century." And they add that, according to Manila Bulletin, "Susano has 14 children. One of them is considered a centenarian at the age of 101."