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We propose two classes of second-order optimization methods for solving the sparse inverse covariance estimation problem. The first approach, which we call the Newton-LASSO method, minimizes a… (More)

- Richard H. Byrd, Jorge Nocedal, Figen Öztoprak
- Math. Program.
- 2016

We study a Newton-like method for the minimization of an objective function φ that is the sum of a smooth function and an 1 regularization term. This method, which is sometimes referred to in the… (More)

- Richard H. Byrd, Gillian M. Chin, Jorge Nocedal, Figen Öztoprak
- Math. Program.
- 2016

This paper is concerned with the minimization of an objective that is the sum of a convex function f and an `1 regularization term. Our interest is in methods that incorporate second-order… (More)

- Fatma Basak Aydemir, A Alperen Günay, Figen Öztoprak, S. Ilker Birbil, Pinar Yolum
- J. Global Optimization
- 2013

This paper proposes the use of multiagent cooperation for solving global optimization problems through the introduction of a new multiagent environment, MANGO. The strength of the environment lays in… (More)

We propose HAMSI, a provably convergent incremental algorithm for solving large-scale partially separable optimization problems that frequently emerge in machine learning and inferential statistics.… (More)

- Nitish Shirish Keskar, Jorge Nocedal, Figen Öztoprak, Andreas Wächter
- Optimization Methods and Software
- 2016

We describe an active-set method for the minimization of an objective function φ that is the sum of a smooth convex function and an l1-regularization term. A distinctive feature of the method is the… (More)

- Jorge Nocedal, Figen Öztoprak, Richard A. Waltz
- Optimization Methods and Software
- 2014

This paper describes interior point methods for nonlinear programming endowed with infeasibility detection capabilities. The methods are composed of two phases, a main phase whose goal is to seek… (More)

- A Alperen Günay, Figen Öztoprak, S. Ilker Birbil, Pinar Yolum
- KES-AMSTA
- 2009

Traditional approaches for solving global optimization pr oblems generally rely on a single algorithm. The algorithm may be hybri d or applied in parallel. Contrary to traditional approaches, this… (More)

- Figen Öztoprak
- 2011

- M. Serdar Celebi, Ahmet Duran, Figen Öztoprak, Mehmet Tuncel, Bora Akaydin
- The Journal of Supercomputing
- 2016

This paper focuses on the application level improvements in a sparse direct solver specifically used for large-scale unsymmetrical linear equations resulting from unstructured mesh discretization of… (More)