In optimization, a descent direction is a vector that, in the sense below, moves us closer towards a local minimum of our objective functionâ€¦Â (More)

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2015

2015

- Garvesh Raskutti, Sayan Mukherjee
- IEEE Transactions on Information Theory
- 2015

We prove the equivalence of two online learning algorithms: 1) mirror descent and 2) natural gradient descent. Both mirrorâ€¦Â (More)

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2014

2014

- Michael Zargham, Alejandro Ribeiro, Asuman E. Ozdaglar, Ali Jadbabaie
- IEEE Transactions on Automatic Control
- 2014

We present a fast distributed solution to the convex network flow optimization problem. Our approach uses a family of dualâ€¦Â (More)

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2014

2014

- Houssam Abbas, Andrew K. Winn, Georgios E. Fainekos, A. Agung Julius
- 2014 American Control Conference
- 2014

Metric Temporal Logic (MTL) specifications can capture complex state and timing requirements. Given a nonlinear dynamical systemâ€¦Â (More)

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2013

2013

- Houssam Abbas, Georgios E. Fainekos
- 2013 American Control Conference
- 2013

The automatic analysis of transient properties of nonlinear dynamical systems is a challenging problem. The problem is even moreâ€¦Â (More)

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Highly Cited

2013

Highly Cited

2013

- Yurii Nesterov
- Math. Program.
- 2013

In this paper we analyze several new methods for solving optimization problems with the objective function formed as a sum of twoâ€¦Â (More)

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2012

2012

- Chafik Samir, Pierre-Antoine Absil, Anuj Srivastava, Eric Klassen
- Foundations of Computational Mathematics
- 2012

Given data points p0, . . . , pN on a closed submanifold M of R n and time instants 0 = t0 < t1 < . . . < tN = 1, we consider theâ€¦Â (More)

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2011

2011

- Yasushi Narushima, Hiroshi Yabe, John A. Ford
- SIAM Journal on Optimization
- 2011

Conjugate gradient methods are widely used for solving large-scale unconstrained optimization problems, because they do not needâ€¦Â (More)

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2010

2010

- Mahdi Ataee, Hadi Zayyani, Massoud Babaie-Zadeh, Christian Jutten
- 2010 IEEE International Conference on Acousticsâ€¦
- 2010

In this paper, we suggest to use a steepest descent algorithm for learning a parametric dictionary in which the structure or atomâ€¦Â (More)

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2009

2009

- Gonglin Yuan, Zhongxing Wang, Zengxin Wei
- IJCNS
- 2009

In this paper, a rank-one updated method for solving symmetric nonlinear equations is proposed. This method possesses someâ€¦Â (More)

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Highly Cited

2005

Highly Cited

2005

- Li Zhang, Weijun Zhou, Dong-Hui Li
- 2005

In this paper, we propose a modified Polakâ€“RibiÃ¨reâ€“Polyak (PRP) conjugate gradient method. An attractive property of the proposedâ€¦Â (More)

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