125 citations
2 papers
cond-mat.other2005★ 4 cited
A General Asymptotic Implied Volatility for Stochastic Volatility Models
Pierre Henry-Labordere
In this paper, we derive a general asymptotic implied volatility at the first-order for any stochastic volatility model using the heat kernel expansion on a Riemann manifold endowe…
cs.CE2004★ 125 cited
A direct formulation for sparse PCA using semidefinite programming
Alexandre d'Aspremont, Laurent El Ghaoui, Michael I. Jordan +1
We examine the problem of approximating, in the Frobenius-norm sense, a positive, semidefinite symmetric matrix by a rank-one matrix, with an upper bound on the cardinality of its…