Convex minimization, a subfield of optimization, studies the problem of minimizing convex functions over convex sets. The convexity property can makeâ€¦Â (More)

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Highly Cited

2014

Highly Cited

2014

- Diederik P. Kingma, Jimmy Ba
- ArXiv
- 2014

We introduce Adam, an algorithm for first-order gradient-based optimization of stochastic objective functions. The method isâ€¦Â (More)

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Highly Cited

2010

Highly Cited

2010

- Antonin Chambolle, Thomas Pock
- Journal of Mathematical Imaging and Vision
- 2010

In this paper we study a first-order primal-dual algorithm for non-smooth convex optimization problems with known saddle-pointâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- Emmanuel J. CandÃ¨s, Benjamin Recht
- Commun. ACM
- 2009

Suppose that one observes an incomplete subset of entries selected from a low-rank matrix. When is it possible to complete theâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- Siddharth Joshi, Stephen Boyd
- IEEE Transactions on Signal Processing
- 2009

We consider the problem of choosing a set of k sensor measurements, from a set of m possible or potential sensor measurementsâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

This is a collection of additional exercises, meant to supplement those found in the book Convex Optimization, by Stephen Boydâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- Andreas Argyriou, Theodoros Evgeniou, Massimiliano Pontil
- Machine Learning
- 2007

We present a method for learning sparse representations shared across multiple tasks. This method is a generalization of the wellâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Elad Hazan, Adam Tauman Kalai, Satyen Kale, Amit Agarwal
- Machine Learning
- 2006

In an online convex optimization problem a decision-maker makes a sequence of decisions, i.e., chooses a sequence of points inâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

Convex programming is a subclass of nonlinear programming (NLP) that unifies and generalizes least squares (LS), linearâ€¦Â (More)

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Highly Cited

2003

Highly Cited

2003

- Daniel PÃ©rez Palomar, John M. Cioffi, Miguel Angel Lagunas
- IEEE Trans. Signal Processing
- 2003

This paper addresses the joint design of transmit and receive beamforming or linear processing (commonly termed linear precodingâ€¦Â (More)

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Highly Cited

1998

Highly Cited

1998

- Aharon Ben-Tal, Arkadi Nemirovski
- Math. Oper. Res.
- 1998

We study convex optimization problems for which the data is not specified exactly and it is only known to belong to a givenâ€¦Â (More)

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