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Taylor Swift and Travis Kelce couldn't keep their hands to themselves Saturday night ... lockin' lips at Neon Carnival after engaging in some backstage PDA.

Video from inside Neon Carnival -- an invite-only rager sponsored by Liquid IV, Patron El Alto and Levi's -- shows the power couple immersed in their own little world, lips securely locked to one another.

Looks like they've both got drinks in hand at the mega-exclusive event ... though they're far more focused on using their mouths in a different way to take a swig.

Coachella's first weekend's still ragin', but some celebs chose to stay closer to home ... picking tuxedos and champagne instead of hard partyin' in the desert.

The 10th annual Breakthrough Prize Honors -- known in some circles as "The Oscars of Science" -- took place at the Academy Museum of Motion Pictures Saturday night and many of Hollywood's more "serious" stars stuck around for the festivities.

Kim Kardashian and her mom Kris Jenner took centerstage, of course ... wearing off-setting black and white ensembles while Elon Musk and Bradley Cooper kept it simple in traditional tuxes.

Ryan Gosling continued his tradition of breaking character on 'SNL' ... and this time, the entire cast had trouble keeping it together.

Ryan hosted 'SNL' for the third time Saturday ... and just like his previous visits, he struggled to maintain his composure during most of the sketches -- much to the delight of the audience.

The cold open reunited Gosling with Kate McKinnon for the 3rd installment of their infamous "Close Encounters" skit ... where the "Barbie" actor could not keep from laughing as Kate demonstrated how "aliens" had observed Ryan's character's privates during their alleged abduction.

Sydney Sweeney and fellow actress Hadley Robinson had a euphoric night out in Key West ... as the duo belted out some karaoke gold.

The "Anyone But You" costars hit up The Backyard Bar in Key West, FL Saturday night ... and what they may have lacked in vocals, they definitely made up for in flair!

Hadley kicked things off with a spirited rendition of Queen's "Bohemian Rhapsody" ... followed by a group performance of Neil Diamond's "Sweet Caroline."

Taylor Swift and Travis Kelce made a surprise appearance at Coachella Saturday night ... getting cozy backstage while showing support for Tay's Collaborators.

The couple was spotted backstage hugging and dancing while friend Jack Antonoff's band Bleachers performed.

Traylor also showed support for Tay's "Karma" collaborator Ice Spice during her Coachella performance.

Gwen Stefani and the men of No Doubt set Coachella ablaze last night ... returning to the stage together for the first time in nearly a decade.

Gwen, bassist Tony Kanal, guitarist Tom Dumont and drummer Adrian Young took the stage last night, playing a nostalgic and high-energy set ... performing their first gig together in -- as Stefani herself put it -- "nine f***ing years!"

The band performed an 80-minute set and fans ate it up ... calling the reunion "iconic" and "one of the best performances of the year" on social media.

The winds were howling across the Indio polo fields for the second day of the Coachella Valley Music and Arts Festival and the biggest names in the desert faced the gales head-on into the unknown in true fashion!

Day 2 brought some big parties and performances ... and Hollywood matched that energy with some big looks of their own! Teyana Taylor carried the torch for the cowgirl caps with a Bret Michael's era hat/bandana and a sheer silver kaftan.

Lukas Gage kept it casual ... but somehow styled a frat-forward look into fest-fashion ... and Olivia Culpo made her yearly pilgrimage to the Hollywood holy-lands in a simple white dress to push the pure plur vibes.

The weekend's BIGGEST after-party Neon Carnival pulled in all the biggest names in the desert ... Ke$ha was raising hell as she rocked out with a vintage tee and a pair of classic cowboy boots. Amber Rose showed off her curves around the Brent Bolthouse bash in a green bodysuit ... while Paris Hilton continued "sliving in the desert" in a black jumper and some chromed-out chain accessories.

The great Caitlin Clark brought the house down on 'SNL,' schooling Michael Che for pooh-poohing women's basketball.

The Iowa guard joined Che and Colin Jost for Weekend Update, and right out of the gate, MC joked Caitlin was going to trade in her jersey for an apron.

Well, watch the clip, because at the end Caitlin shows Che who's boss!

Elisa Jordana's telling her side of the story following her arrest ... and she insists her ex-fiancé got way more violent than she did during a live stream as they were driving.

We spoke with the former 'Howard Stern Show' contributor after cops busted her for battery -- and she says the whole incident that led to her arrest popped off after a couples counseling session went bad.

Jordana says she and Bahram Alipour, the man in the disturbing video, had set up a couples therapy session to discuss their future before they got married because they were having issues.

Benzino and Eminem's 20-year-long beef could finally be ending with one last duel -- and the "Love & Hip Hop Atlanta" alum thinks he can win with ease, vowing he's in his rhyme prime!!!

TMZ Hip Hop recently chopped it up with Benzino as he soaked up some Miami rays, and first things first ... we got his beef expertise on Kendrick Lamar and J. Cole's brief battle, and the shocking apology that followed!!!

Like many rap pundits, Benzino said Cole's apology was bad for battling, but great for showing future artists that hip hop doesn't have to be so macho -- especially given the long history of murdered rappers.

Caitlin Clark is gonna fit right in at her new home in Indiana ... so says former Pacers forward Al Harrington, who tells TMZ Sports it's the perfect market for her to kickstart her WNBA career.

Clark -- who just capped off her historic college career at Iowa -- will undoubtedly be the first overall pick at this month's pro draft ... meaning she'll be the newest member of the Fever.

Al was a first-round pick to Indiana in 1998 ... so naturally, we asked him what it'd be like for Caitlin at the next level.

Yes, Coachella means Hollywood hits the desert for the music, performances and parties, but the stars also need a place to kick back, rinse off and show their hard-earned bods ... get ready to make a splash with the stars who love a good poolside hang in Palm Springs!

Soaking in the sun and having all kinds of fun, stars like Olivia O'Brien and Bretman Rock got into the swing swim of things in some sexy swimwear, and Kelsey Calemine proved that her poolside is her best side!

"All That" star Bryan Hearne is not impressed with Dan Schneider's apology ... telling TMZ the TV creator's mea culpa was a whole lot of BS.

We caught up with the former Nickelodeon child star at LAX, where Bryan blasted Dan's apology video as "crazy" ... calling it an attempt to squash controversy caused by the 'Quiet on Set' docuseries.

ICYMI ... Dan apologized for his past behavior in a 19-minute YouTube video after he was accused of misconduct by those who worked on many of his hit Nickelodeon shows. He previously denied toxic workplace claims in a statement through his reps.

Sunday's a day of rest for a lot of people ... so, sit back, relax and take in some of the best stories TMZ covered this past week!

On "TMZ Live," Harvey and Charles break down "So You Think You Can Dance" star Korra Obidi going to the hospital after a knife and acid attack in London.

The "TMZ on TV" squad talks "The Real Housewives of Potomac" Wendy Osefo's home being burglarized after she posted photos on vacation.

And, the "TMZ Sports" crew addresses the controversy surrounding the size of Allen Iverson's statue in Philadelphia.

Check your local listings for when TMZ is on in your area or catch up on past episodes!

Smothered inside this cheeky-altered photo is a girl from the Bronx, New York City. Growing up, this rapping maven looked up to music icons like Lil Kim and Nicki Minaj. Put your best celeb-foot forward, and see if you can kick this photo edit to the curb!

If you didn't partake in her viral "And I'm Bad Like A Barbie" TikTok vid, you must've been sleeping under a rock!

She's icy, spicy and perhaps a bit pricy ... but Coachella budgeted for this queen to hit the stage both weekends and her fans are stoked!

Honey Boo Boo's seems ready to cut her mom off ... saying she expects to get all her money back -- 'cause she doesn't mess around with thieves.

In the latest money-related development on "Mama June: Family Crisis" Alana Thompson -- better known as Honey Boo Boo -- and Lauryn "Pumpkin" Shannon sat Mama June down to figure out what she owes Alana.

The final tally ... the kids say it's about $35k -- no small chunk of change, and Mama June seems pretty indignant about payin' it back.