MADISON, Wis. -- Madison police held a strange news conference Thursday to announce they "are continuing on" with the investigation into the disappearance of University of Wisconsin student Audrey Seiler, who was found Wednesday.

Assistant police chief Noble Wray read a statement, saying police have interviewed Seiler extensively and are "continuing on" with the investigation.

"Like in any other investigation, there may be inconsistencies," Wray said. "But we are continuing on with this investigation."

Wray said it is "not the Madison Police Department's job to speculate." He appeared to be addressing rumors surrounding the 20-year-old sophomore's disappearance, including a rumor that it was a hoax.

Wray released a composite sketch of a man he called "a suspect."

On Wednesday, Wray described a white man in his late 20s or early 30s, about 6 feet tall, last seen wearing a black sweatshirt, jeans, and black hat and armed with a gun and a knife.

AUDREY SEILER Charge Her? Pictures From Search Scene VIDEO Police Briefings: First | Second Security Tape RESOURCES/TIPS Find Audrey Web Site Anyone with information can contact the Madison Area Crime Stoppers at (608) 266-6014.

Police told WISC-TV in Madison they would not have a news conference unless they'd gathered significant information about the case. Police have been very tight-lipped since Seiler walked out of a marsh Wednesday after disappearing early Saturday with no coat, purse or cell phone. She was caught on surveillance tape mysteriously peering out of the lobby window at her apartment before disappearing.

Seiler, of Rockford, Minn., spent the night at an undisclosed location with her parents.

Police theorize the man connected to the disappearance remains in Madison, in a marshy area where Seiler was found about 2 miles from campus where the search is concentrated. There are still a few officers on the scene near the Department of Revenue building, off Rimrock Road. They are reportedly looking for clues, not a particular person at this point.

Police say when they found Seiler on Wednesday, she told them her abductor was still in the area.

Wray told NBC's "Today" show early Thursday that police efforts in the initial moments after the recovery of Seiler focused on establishing a perimeter, based on the woman's information. Police scoured the area with dogs and thermal-scanning equipment.

After appearing reluctant at first to narrow the "missing persons case" to an abduction, police said Wednesday night that Seiler was abducted at gunpoint by a man she didn't know. They say they believe the suspect had a gun even though Seiler did not recall seeing one.

"She was not free to leave," one officer said.

Seiler was treated and released after arriving cold and dehydrated at a Madison hospital. Dr. Philip Schultz said during a late-afternoon news conference that she also had muscle aches from being confined.

Seiler Attacked In February

The area around Seiler's apartment is not known to be particularly dangerous; however, she was attacked by an apparent stranger Feb. 1, WISC-TV in Madison reported.

Detectives are refusing to release specifics of the report, but police told the television station that Seiler was attacked one block from her home.

Police said they don't know if the attack is related to her disappearance. She was approached from behind, struck unconscious and left in a secluded area. Because she was attacked from behind, police do not have a description of the attacker in that case.

"(The attacker) left her unconscious and moved to another location outside, and eventually she was found and she was treated for those injuries," Madison officer Larry Kamholz said.

Her family revealed Tuesday that Audrey considered that a random act.

Seiler's story hit national newscasts Tuesday, with some drawing parallels to the case of Dru Sjodin, the University of North Dakota student who was last seen Nov. 22, 2003, leaving a shopping mall in Grand Forks, N.D. A convicted rapist was ordered earlier this month to stand trial on charges he kidnapped her. Investigators have said they believe Sjodin is dead.