I do believe that problems are the heart of mathematics.

Former U.S. Treasury Secretary Larry Summers says he will step back from all public commitments, adding the move is to allow him to rebuild trust and repair relationships with the people closest to me. Former U.S. Treasury Secretary Larry Summers is stepping down from a teaching post at Harvard University and as a director of one of its business and government schools, a spokesperson said on Wednesday, after Congress released documents showing Summers shared close ties with the late convicted sex offender Jeffrey Epstein. A spokesperson for Summers, Steven Goldberg, said Summers' co-teachers would complete the semester for three ongoing courses. Mr. Summers has decided it's in the best interest of the center for him to go on leave from his role as director as Harvard undertakes its review, he said. Summers, also a former president of Harvard University, is a director of the Mossavar-Rahmani Center for Business and Government at the Harvard Kennedy School. Summers has been under fire since the U.S. House Oversight Committee released documents detailing an ongoing personal correspondence between Summers and Epstein, who died by suicide in a Manhattan prison in 2019 as he faced sex-trafficking charges.

NASA's Perseverance rover discovers a shiny metallic rock nicknamed 'Phippsaksla' on Mars that scientists believe could be a meteorite from an ancient asteroid.

Data serves as the fundamental basis for advancing deep learning.

In this paper, we identify that PINNs can be adversely trained when gradients of each loss function exhibit a significant imbalance in their magnitudes and present a negative inner product value.

There has been exciting progress in generating images from natural language or layout conditions.

Evaluating Large Language Models' (LLMs) anthropomorphic capabilities has

Customizing diffusion models to generate identity-preserving images from user-provided reference images is an intriguing new problem.

The frame's origin is fixed at The motion equations are derived from Newton's second law for an air vehicle, resulting in six core The inputs for the FPEs are the aircraft's attitude quaternion components along with the components The system comprising (CLMEs)-(CAMEs)-(FPEs)-(KEs), i.e., 1, 12, 15, and 16, represents The task scenarios can be categorized by objectives into Heading, Control, and Tracking . This work designs a hierarchical control algorithm for this task. RL Methods We use PPO for Heading and Control tasks in fixed-wing aircraft. The structure for hierarchical RL method is shown in Figure 10. The PPO algorithm's parameter settings are as follows: the learning rate is set to "128 128", and the recurrent hidden layer size is 128 with a single recurrent layer.