Sökning: "atomic norm"

Hittade 3 avhandlingar innehållade orden atomic norm.

1. 1. Rank Reduction with Convex Constraints

   Författare :Christian Grussler; Institutionen för reglerteknik; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; low-rank approximation; model reduction; non-convex optimization; Douglas-Rachford; matrix completion; overlapping norm; k-support norm; atomic norm;

   Sammanfattning : This thesis addresses problems which require low-rank solutions under convex constraints. In particular, the focus lies on model reduction of positive systems, as well as finite dimensional optimization problems that are convex, apart from a low-rank constraint. LÄS MER

3. 2. Parameter Estimation - in sparsity we trust

   Författare :Johan Swärd; Statistical Signal Processing Group; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Parameter estimation; Sparse models; Convex optimization; Symbolic Periodicity; Alternating direction method of multipliers ADMM ; Covariance fitting; multi-pitch estimation problem; Off-grid estimation; Dictionary learning; Atomic norm; Sampling schemes;

   Sammanfattning : This thesis is based on nine papers, all concerned with parameter estimation. The thesis aims at solving problems related to real-world applications such as spectroscopy, DNA sequencing, and audio processing, using sparse modeling heuristics. LÄS MER

4. 3. Real and complex operator norms

   Författare :Natalia Sabourova; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Sammanfattning : Any bounded linear operator between real (quasi-)Banach spaces T : X ® Y has a natural bounded complex linear extension TC : XC ® YC defined by the formula TC(x+iy)=Tx+iTy for x,yÎX, where XC and YC are so called reasonable complexifications of X and Y, respectively. We are interested in the exact relation between the norms of the operators TC and T. LÄS MER