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Highly Cited

2010

Highly Cited

2010

We develop a 2nd-order optimization method based on the "Hessian-free" approach, and apply it to training deep auto-encoders… Expand

Highly Cited

2010

Highly Cited

2010

This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism… Expand

Highly Cited

2009

Highly Cited

2009

Abstract The k-Hessian is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix. When k… Expand

Highly Cited

2007

Highly Cited

2007

Many papers have regressed non-parametric estimates of productive efficiency on environmental variables in two-stage procedures… Expand

Highly Cited

2001

Highly Cited

2001

By studying a negative gradient flow of certain Hessian functionals we establish the existence of critical points of the… Expand

Highly Cited

2001

Highly Cited

2001

Side-channel attacks are a recent class of attacks that have been revealed to be very powerful in practice. By measuring some… Expand

Highly Cited

1997

Highly Cited

1997

Alternatively we may write (1.3) Fk[u] = [Du]k, where [A]k denotes the sum of the k× k principal minors of an n× n matrix A. Our… Expand

Highly Cited

1994

Highly Cited

1994

Just storing the Hessian H (the matrix of second derivatives 2E/wiwj of the error E with respect to each pair of weights) of a… Expand

Highly Cited

1992

Highly Cited

1992

O n P r i n c i p a l Hessian D i r e c t i o n s f o r Data V i s u a l i z a t i o n and D i m e n s i o n R e d u c t i o n… Expand

Highly Cited

1965

Highly Cited

1965

IN [1] J. B. ROSEN GIVES a sufficient condition for the uniqueness of the equilibrium point of a game. The same condition is also… Expand