When Shia LaBeouf married longtime love Mia Goth in a whirlwind Las Vegas ceremony on October 10, it was streamed live for his millions of fans.

They saw an Elvis impersonator marry the happy couple, while the two lovebirds sang and danced through the $700 celebration.

But one man notably missing from the celebrations was Shia's father Jeffrey LaBeouf.

And today DailyMail.com can reveal the reason why the patriarch was not there to support his famous son.

The Transformers star's 68-year-old dad, a convicted pedophile who spent time in jail for attempted rape of a minor, is wanted by police in California.

Jeffrey has been on the run from law enforcement for three years, fleeing the state, as well as hiding out in a remote mountain community after violating his registration requirements as a convicted sex offender.

Shia LaBeouf's father, Jeffrey, was absent from his son's Las Vegas, Nevada, wedding on October 10. Jeffrey is a convicted pedophile who who spent time in jail for a serious sex attack on a minor and has been living in Costa Rica

Shia married his girlfriend Mia Goth in a Las Vegas ceremony on October 10 that was officiated by an Elvis impersonator

LaBeouf senior is currently missing in the eyes of the law, with police records showing no evidence of his existence.

But DailyMail.com has learned that Jeffrey has been hiding out unnoticed on the Central American country of Costa Rica for the last 18 months.

The convicted sex offender lives in the area of Montezuma - a party spot that has a long history of sex tourism.

Social media posts show Jeffrey boasting to tourists that he is Shia’s father during nights out at hotels in the region.

Jeffrey has even opened up his own Facebook profile and has barely changed his appearance from his chilling mugshot for Megan's Law, a national registry of sex offenders.

On his Facebook profile, where he has more than 380 friends, he reveals he is working as a teacher writing: 'I'm teaching art.'

His profile classes him as single and retired.

Oddly he writes he has a son whose name is Honeyboy - an obscure reference to Shia.

He doesn't include any of his son's work in his list of favorite movies though.

In other posts he has told people that he had worked as a part time teacher, served in Vietnam and was a poet in Greenwich Village in the '70s.

Despite his father's criminal past, Shia has always held a deep bond with Jeffrey, regularly inviting him on to film sets. They're pictured above attending a Lakers game together in 2008

His Facebook location says that he lives in a tiny fishing village of Cabuya, in the district of Nicoya Peninsula.

However, he says he travels around the country often.

Cabuya is a half hour drive away from Montezuma, which has a reputation as a sex tourism destination.

And photos taken as recently as April show Jeffrey tanned and smiling with his trademark bushy white beard and red horn rimmed glasses.

In one he's posed on his motorbike, wearing a skull cap helmet dressed in denim in the countryside by the town of San Juan de Dios de Desamparados.

In another, he is wearing a Levis hat smiling down the camera posing for a selfie.

Jeffrey has barely changed his appearance from his mugshot (pictured above) for Megan's Law, a national registry of sex offenders

In another he is smiling wearing a grey flat cap.

In one Facebook post, he revealed his favorite hang out spot is Hotel Celaje Cabuya, which he recommends to friends.

The hotel is popular with families who have children.

Since violating his registration requirements, as of January 13, 2014, Jeffrey has been swapping addresses at a whim to escape the authorities' attentions.

He has since been inexplicably erased from the Megan's Law database, a government controlled sex register where offenders have to detail their whereabouts.

Offenders are obligated by law to check in annually with their local police station, provide their address and have cops update their photo.

But when contacted by DailyMail.com, the Californian Attorney General's office confirmed they have no record of Jeffrey's new location and are unaware of any specific reason why he would be removed from the register.

Brenda Gonzalez, press secretary to California Attorney General Kamala Harris, confirmed that even if they did know, under Department of Justice guidelines they would be unable to pass on details to the public.

The two lovebirds sang and danced through the $700 celebration, and they live streamed the ceremony for fans to watch

When Jeffrey last did appear on the Megan's Law database, a year after attending a police station, he was listed at standing 6ft, 2in tall, weighing 180 pounds, with brown eyes and partially gray hair.

The site confirmed that Jeffrey was charged with assault with intent to commit rape and revealed his last known address was in Glendale, California, even though he moved out of that home in 2011.

In bold red writing, Jeffrey's report revealed: 'This sex offender has been in violation of registration requirements since 01/13/2014.'

DailyMail.com made several attempts to contact the Glendale Police for an update on Jeffrey's position, but were not called back by a detective handling those matters.

According to the authorities, all police documentation regarding Jeffrey's assault charge have inexplicably vanished, possibly because the incident happened 35 years ago in 1981.

The document could also have been sealed, given that the attack involved a minor.

Interestingly, in the same year Jeffrey was convicted of assault with intent to rape, he was charged with kidnapping and assault with a deadly weapon.

The legal outcomes of those charges are currently unknown.

Jeffrey has also been accused of sexual harassment in the past by an unnamed actress on the set of Shia's hit TV show Even Stevens in 2000.

And in another incident, Jeffrey attacked a gay Disney executive who gave him a congratulatory hug.

Shia later confirmed the encounter in a magazine interview admitting that his father almost threw the man against the wall.

It is unknown if Shia is still in regular contact with his dad, who has been living in Costa Rica for the past 18 months

Recounting the incident to Details magazine, Shia said: 'He goes, "Are you trying to talk to my boy, you chicken hawk?" You can't do that to the executives.'

Despite his father's criminal past, Shia has always held a deep bond with Jeffrey, regularly inviting him on to film sets.

But Jeffrey's crimes presumably caught up with him when he couldn't attend his son's big day in Nevada on October 10.

He now faces arrest if police in the United States catch up with him.

While social media posts place Jeffrey in Costa Rica, we can also reveal that he has lived at several different addresses in the United States, where he was not registered.

Between 2011 and 2013, Jeffrey was secretly living in a private gate-guarded community in the remote mountainous area of Bear Valley Springs, California.

Jeffrey rented a three-bedroom home in the area for two years without giving notice to cops in his registered home town of Glendale, California, or to the police in Bear Valley Springs.

Jeffrey lived in the wood structured home helping his landlady renovate the property.

A recent tenant, who wanted to be identified only as Richard, said: 'I never met the guy, but he lived here before me. I still get mail for him, but he never left any forwarding addresses so I give them back to the postman.

'I know he was here a while, because the landlady told me that he helped renovate the place.

While social media posts place Jeffrey in Costa Rica, DailyMail.com can also reveal that he has lived at several different addresses in the United States, where he was not registered on the registry of sex offenders

'He rebuilt the shower and a couple of rooms; they said he did a good job. But from what I am told he kept himself to himself. I don't know what job he had or where he worked.'

A Bear Valley Police senior detective confirmed they had received no details of Jeffrey's whereabouts during that period and that he had not checked in with them.

While living in Bear Valley Springs, Jeffrey was still officially registered at a three-bedroom house in a upscale neighborhood in Glendale, a suburb of Los Angeles.

However, the current owner of the Glendale home confirmed that Jeffrey moved out of the house in the summer of 2011.

The real estate agent who sold the property revealed that the rented house needed to be 'completely refurbished' after Jeffrey was asked to leave by the owners.

It's also believed Jeffrey had spent some time in Montana before moving to Costa Rica.

Meanwhile, Shia's relationship with his father has been complex.

He once described Jeffrey as 'tough as nails and a different breed of man'.

When Shia was growing up, he accompanied his dad to Alcoholics Anonymous meetings.

The actor, currently earning critical acclaim in American Honey, also said that his father was placed in a drug rehab for heroin addiction during his childhood.