A new generalized projection and its application to acceleration of audio declipping

In convex optimization, it is often inevitable to work with projectors onto convex sets composed with a linear operator. Such a need arises from both the theory and applications, with signal processing being a prominent and broad field where convex optimization has been used recently. In this article, a novel projector is presented, which generalizes previous results in that it admits to work with a broader family of linear transforms when compared with the state of the art but, on the other hand, it is limited to box-type convex sets in the transformed domain. The new projector is described by an explicit formula, which makes it simple to implement and requires a low computational cost. The projector is interpreted within the framework of the so-called proximal splitting theory. The convenience of the new projector is demonstrated on an example from signal processing, where it was possible to speed up the convergence of a signal declipping algorithm by a factor of more than two

Training of a javelin thrower - assessment of own performance development and training

Title: Javelin thrower's training - self-assessment of performance development and training Aim: Assessment of my career, development of performance and evaluation of training in each stage of development. Methods: Research of specialized literature, retrospective analysis of performance tables, training records and interviews with coaches. Description and comparison of training strategies in each stage of development. Results: I have been a competing athlete since 1993. I threw 55.79 m at the age of 15. I surpassed the 70 meter mark after four years of training. I reached the finals of the World Junior Championship. Then, after repeated injuries, I decided to quit athletics. While studying at the university I started training again. After a year Jan Železný became my coach and within two years I reached the finals of the Olympic Games in Beijing. This gave me a new impulse to continue high level training. My basic general training was led by coach Lípa. The positive aspect of this stage of training was that I received a very good general performance base, Mr Lípa gave me a very good running and sprinting base and I benefit from this even today. Insufficient and uneven development of muscle strength was the downside of this stage. Specialized training was led by coach Jaroslav Halva. The positive..

Training of a javelin thrower - assessment of own performance development and training

Title: Javelin thrower's training - self-assessment of performance development and training Aim: Assessment of my career, development of performance and evaluation of training in each stage of development. Methods: Research of specialized literature, retrospective analysis of performance tables, training records and interviews with coaches. Description and comparison of training strategies in each stage of development. Results: I have been a competing athlete since 1993. I threw 55.79 m at the age of 15. I surpassed the 70 meter mark after four years of training. I reached the finals of the World Junior Championship. Then, after repeated injuries, I decided to quit athletics. While studying at the university I started training again. After a year Jan Železný became my coach and within two years I reached the finals of the Olympic Games in Beijing. This gave me a new impulse to continue high level training. My basic general training was led by coach Lípa. The positive aspect of this stage of training was that I received a very good general performance base, Mr Lípa gave me a very good running and sprinting base and I benefit from this even today. Insufficient and uneven development of muscle strength was the downside of this stage. Specialized training was led by coach Jaroslav Halva. The positive..