"I have had a too carefree attitude towards physical encounters with women," he said. "I have made inappropriate comments lightheartedly or after a few drinks. I now see I was wrong and I have made mistakes for which I can't forgive myself, and must live with them."
However, while he was "remorseful of my past behavior," he added "many of the accusations now made against me are either untrue or taken out of context."
"I categorically deny any criminal wrongdoing," he said. "I have never forced myself on a woman."
In his statement, Logan said he would "now step back and take time to reflect on my behavior and the values which I should uphold."
'I am a human being'
"The movie required me to take (my clothes off)," Yu said in the video interview, adding she eventually agreed to be naked but on the condition no one would touch her while her clothes were off.
Yu said Logan agreed to that but after "we were finally done filming, he suddenly came over ... he grabbed (my nipple) and pinched it."
"I felt like he was humiliating me," she said. "I am a human being. I was so angry I left (the set)."
In his statement, Logan denied Yu's accusations, adding he was "entirely professional towards every performer who came in to try out for the film" following her resignation from the project.
"I still can't deny the fact that I'm asking myself if I still have the courage or ability to start over," she said. "I've been fighting the monster and fears in my mind."
According to HK01, another six women have accused Logan of sexual misconduct, including forced kissing, revealing his penis, demanding naked auditions and inappropriate touching.
Neither Logan nor Yu responded to requests for further comment.
#MeToo reaches Hong Kong
Weinstein has repeatedly denied "any allegations of nonconsensual sex." Both Spacey and Rose have apologized for their past behavior.
"Many people have more conservative views regarding sexual harassment," she said. "The feeling of shame is very, very prominent."
She said many women she spoke to who had suffered sexual harassment or assault "refused to be interviewed (as) they feel ashamed and they're extremely worried their friends and family will find out."
Petula Ho, an expert on gender and sexuality issues at the University of Hong Kong, said the recent revelations have shone a light on how difficult many people find it to speak up about sexual harassment, both as victims and witnesses.
At a forum she hosted on the issue this week, Ho said many attendees "talked a lot about the guilt of witnessing these things in very intimate circles and not doing anything because the people involved ... were close friends and family."
Cheng, the reporter, said media laws are also an issue, preventing many outlets from being as aggressive in pursuing these stories as they have been in other countries.
"The bar to sue for libel and defamation in Hong Kong is very low, which is totally the opposite from the US," Cheng said.
Ho was cautiously optimistic about the reaction, saying while there has been some backlash, "this is the first time that I've seen so many people discussing this issue."
CNN's Steven Jiang, Andrea Lo and Serenitie Wang contributed reporting.