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» Minimizing the sum of many rational functions
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CDC
2008
IEEE
145views Control Systems» more  CDC 2008»
13 years 7 months ago
Necessary and sufficient conditions for success of the nuclear norm heuristic for rank minimization
Minimizing the rank of a matrix subject to constraints is a challenging problem that arises in many applications in control theory, machine learning, and discrete geometry. This c...
Benjamin Recht, Weiyu Xu, Babak Hassibi
RECOMB
2006
Springer
14 years 7 months ago
RNA Secondary Structure Prediction Via Energy Density Minimization
Abstract. There is a resurgence of interest in RNA secondary structure prediction problem (a.k.a. the RNA folding problem) due to the discovery of many new families of non-coding R...
Can Alkan, Emre Karakoç, Süleyman Cenk...
CDC
2009
IEEE
125views Control Systems» more  CDC 2009»
13 years 11 months ago
Realization theory of Nash systems
Abstract— This paper deals with realization theory of socalled Nash systems, i.e. nonlinear systems the right-hand side of which is defined by Nash functions. A Nash function is...
Jana Nemcová, Mihály Petreczky, Jan ...
FOCM
2011
117views more  FOCM 2011»
13 years 2 months ago
Accuracy and Stability of Computing High-order Derivatives of Analytic Functions by Cauchy Integrals
Abstract High-order derivatives of analytic functions are expressible as Cauchy integrals over circular contours, which can very effectively be approximated, e.g., by trapezoidal s...
Folkmar Bornemann
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 5 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis