[London] (Historic Gallery, Pall Mall) : Published by R. Bowyer, June 1804

In statistical learning framework with regressions, interactions are the contributions to the response variable from the products of the explanatory variables. In high-dimensional problems, detecting interactions is challenging due to combinatorial complexity and limited data information. We consider detecting interactions by exploring their connections with the principal Hessian matrix. Specifically, we propose a one-step synthetic approach for estimating the principal Hessian matrix by a penalized M-estimator. An alternating direction method of multipliers (ADMM) is proposed to efficiently solve the encountered regularized optimization problem. Based on the sparse estimator, we detect the interactions by identifying its nonzero components. Our method directly targets at the interactions, and it requires no structural assumption on the hierarchy of the interactions effects. We show that our estimator is theoretically valid, computationally efficient, and practically useful for detecting the interactions in a broad spectrum of scenarios.

Winds are from the West at 20.7 gusting to 34.5 MPH (18 gusting to 30 KT). The pressure is 1009.0 mb and the humidity is 41%. The wind chill is 33. Last Updated on May 9 2020, 11:53 am EDT.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Check here each week to keep up with the latest from John MacArthur's pulpit at Grace Community Church.

Since the beginning of the outbreak, chess websites worldwide report a 50% increase in activity and amount of games being played online.

Sarasadat Khademalsharieh, also known as Sara Khadem, who had announced her retirement from Iran national chess team, has returned to the national team. On January 12, Khadem had published a photo on her Instagram account and said she has retired from national team.

Kate, Britain's Duchess of Cambridge, launched a project on Thursday to encourage Britons to submit pictures of their daily lives during lockdown. Edward Baran reports.

Kate, Britain's Duchess of Cambridge, launched a project on Thursday to encourage Britons to submit pictures of their current daily lives and the work of "Helpers and Heroes" to capture a snapshot of the nation in coronavirus lockdown.

A princess seeking revenge after her royal privileges are revoked? A drifter trying to get away from her awful father? Or maybe a guardian of Captain Britain?

Now that Meghan Markle has had her royal purse strings cut, the time has come for her to prove that she is capable of making a living on her own merits. And, ever the everywoman, it has been reported that Markle’s first step is exactly the same one that we’d all make upon finding ourselves suddenly short of money – she has instructed her agent to find her a role in a superhero film.

At this point it’s best to assume that she’s looking for something more substantial than her pre-royal movie career offered; she won’t want a made-for-TV superhero movie, or to appear in a single scene of a larger film as a nameless woman whose only purpose in the universe is to give the middle-aged leading man something to absent-mindedly flirt at. So, who should she play? Luckily, as crowded as the superhero genre currently is, there is still plenty of untapped potential for her. Here are my suggestions.

Meghan says spirit of Grenfell lives on in video call to women she helped at kitchen You can donate at virginmoneygiving.com/fund/FoodforLondonNOW

The Duchess of Cornwall has revealed she has taken up ballet and is practising her poses and positions to keep fit in lockdown.

The Duchess of Cambridge has made a virtual bedside visit to new parents during a video call to midwives she worked alongside last year.

The Duchess of Cambridge has launched a landmark photographic project to capture the "spirit of the nation" during the coronavirus outbreak.

We haven't gotten to see a lot of Duchess Kate during quarantine. While we wait for life to return to normal, look back at her greatest style moments.

See Meghan's style choices since her May 2018 wedding to Prince Harry.

Together with Britain's National Portrait Gallery, Duchess Kate is seeking touching photos that portray the country during the coronavirus pandemic.

Is there any look she can't pull off?

Happy Mum, Happy Baby's Giovanna Fletcher on how she's keeping three boys under six entertained during lockdown and her anxiety about the now-famous interview with the Duchess of Cambridge

She and Prince William dialled in from their Norfolk home

She appeared alongside the rest of her family, who also all wore blue in tribute

The royal is loyal to an arsenal of affordable lotions and potions

Forget a virtual haircut, all you need is this foolproof, three-step hack

Happy birthday Princess Charlotte!

The Duchess has made an apparently seamless transition into her WFH wardrobe

It's time to embrace yellow

Chess-based, card-based, roguelike dungeon crawler. And you might as well throw puzzler on top of it too. That’s quite a …

Continue reading "‘Pawnbarian’ is a Chess-Based, Card-Based, Roguelike Dungeon Crawler Coming to Mobile and Desktop"

Prince Harry and Duchess Meghan's son Archie has been showered with birthday messages as he spends his first birthday in lockdown.

The Duchess of Cambridge has teamed up with the National Portrait Gallery to launch the Hold Still project.

Hess Corporation has agreed to pay an $850,000 civil penalty and spend more than $45 million in new pollution controls to resolve Clean Air Act violations at its Port Reading, N.J., refinery.

Michael R. Barr, former chief executive officer of Louisville, Kentucky-based HealthEssentials Solutions Inc., has agreed to pay $1 million to resolve allegations that he knowingly caused HealthEssentials to submit false claims to Medicare between 1999 and 2004.

Kicking off New York Fashion Week, hessnatur and Whole Foods Market Tribeca are hosting an invite-only launch party September 9, for the "World in

Fashion icon and hessnatur Creative Director Miguel Adrover at Whole Foods Market. Credit Emma Grady Hessnatur kicked off New York Fashion Week Wednesday, September 9, 2009 at Whole Foods Market Tribeca with the launch of their "World in your hand"