# Self-concordant function

## Papers overview

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2017

2017

- Math. Meth. of OR
- 2017

We analyze the proximal Newton method for minimizing a sum of a self-concordant function and a convex function with anâ€¦Â (More)

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2015

Highly Cited

2015

- ICML
- 2015

We propose a new distributed algorithm for empirical risk minimization in machine learning. The algorithm is based on an inexactâ€¦Â (More)

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2015

2015

- Journal of Machine Learning Research
- 2015

We propose a variable metric framework for minimizing the sum of a self-concordant function and a possibly non-smooth convexâ€¦Â (More)

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2013

2013

- IEEE International Conference on Acousticsâ€¦
- 2013

The convex â„“1-regularized log det divergence criterion has been shown to produce theoretically consistent graph learning. Howeverâ€¦Â (More)

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2009

Highly Cited

2009

- ArXiv
- 2009

Most of the non-asymptotic theoretical work in regression i s carried out for the square loss, where estimators can be obtainedâ€¦Â (More)

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2009

2009

- 2009

The notion of self-concordant function on Euclidean spaces was introduced and studied by Nesterov and Nemirovsky [6]. They haveâ€¦Â (More)

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2006

2006

- 2006

In this paper we develop a technique for constructing self-concordant barriers for convex cones. We start from a simple proof forâ€¦Â (More)

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2004

2004

- 43rd IEEE Conference on Decision and Control (CDCâ€¦
- 2004

This paper discusses self-concordant functions on smooth manifolds. In Euclidean space, this class of functions are utilizedâ€¦Â (More)

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1998

Highly Cited

1998

- SIAM Journal on Optimization
- 1998

In this paper we continue the development of a theoretical foundation for efficient primal-dual interior-point algorithms forâ€¦Â (More)

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1997

1997

- 1997

In this paper, we introduce the notion of a self-concordant convex-concave function, establish basic properties of theseâ€¦Â (More)

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