Rumer Willis is singing the praises of mom Demi Moore's recently released memoir which candidly depicts a rape, her struggles with substance abuse and three failed marriages.

Tuesday, Moore's eldest daughter with ex-husband Bruce Willis served as guest co-host on "The Talk." To her co-hosts, the 31-year-old "House Bunny" actress praised the openness in which Moore penned "Inside Out," released last week.

"I’m so proud of her vulnerability," said Rumer, "and I think so many women have watched her – and just as her daughter, I've watched her, as kind of beacon of strength, and this kind of leader."

Rumer added that she admires her mother's ability to acknowledge her wrongdoings.

"And I think what I really respect about her is that she is never the victim in her stories," Rumer said. "She takes accountability, she takes responsibility – and mind you, this is her perspective, her story, and she’s the first one to say that, but she's allowing herself to show everyone that you can go through some really difficult, hard things, and you can still be someone who is thriving and taking accountability, and just being a strong survivor without being, 'Oh, I survived this, and this is who I am because of this story.' Which I think is amazing."

Rumer has two sisters: Scout Willis, 28, and Tallulah Willis, 25.

Demi Moore’s raw ‘Inside Out’ reveals rape, why marriage to Ashton Kutcher crumbled

Jon Cryer denies claim in Demi Moore’s headline-making memoir

Moore wrote of a falling-out with her children as she spiraled from her 2011 split with third husband Ashton Kutcher. She said while on a trip with Rumer she was "being a little too flirty" with a friend who accompanied them, "in that sad way a woman can sometimes act when she's looking for validation."

At a January 2012 party at Moore's home with her eldest present, the "G.I. Jane" star experienced a seizure after she says she "inhaled some nitrous" and "smoked a little spice, which is like man-made pot." She was hospitalized.

Reflecting on the evening, she wrote: "... Would I even consider doing drugs with my kid there if I were in my right mind? Of course not. I scared Rumer so badly when she saw me there, semiconscious on the floor; she thought I might die in front of her. She was completely freaked out, and after that night she joined her younger sisters in refusing to speak to me."

Moore, who described herself as "skeletal" at "ninety-six pounds," added that her "kids had given me an ultimatum: we won't speak to you unless you go to rehab. But I went, and they still didn't show up for me."

"After I completed the program, I reached out repeatedly, offering to meet wherever it would be comfortable – with a therapist, whatever," Moore continued. "I was rebuffed or ignored. I couldn't get my mind around what I'd done that was so terrible that they would cut me off without even a conversation."

Moore said she "let go" and accepted her severed relationship with her children. "It would be three years before we were able to find our way back to one another."

Demi Moore shares sweet throwback photos for daughter Rumer Willis' birthday

I felt 'helpless and scared':Rumer Willis has been battling a stomach problem for weeks