Amir Ali Ahmadi | Academic Influence

Amir Ali Ahmadi's AcademicInfluence.com Rankings

Amir Ali Ahmadi

Mathematics

#5807

World Rank

#8143

Historical Rank

Operations Research

#56

World Rank

#57

Historical Rank

Control Theory

#77

World Rank

#82

Historical Rank

Measure Theory

#4687

World Rank

#5488

Historical Rank

mathematics Degrees

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Mathematics

Amir Ali Ahmadi's Degrees

Bachelors Electrical Engineering Sharif University of Technology

Why Is Amir Ali Ahmadi Influential?

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According to Wikipedia, Amir Ali Ahmadi is a professor in the Department of Operations Research and Financial Engineering at Princeton University. He is primarily known for his work on mathematical optimization. Biography Ahmadi obtained a B.S. in both mathematics and electrical engineering at the University of Maryland in 2006. He then received his M.S. and PhD from the Massachusetts Institute of Technology in 2008 and 2011 respectively, where he was supervised by Pablo Parrilo. After this, he spent a year in the Robot Locomotion Group at MIT as a postdoctoral fellow before joining the IBM Watson Research Center in 2012 as a Herman Goldstine Fellow. He is now professor in the department of Operations Research and Financial Engineering at Princeton University.

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Amir Ali Ahmadi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization (2017) (182)
Control design along trajectories with sums of squares programming (2012) (123)
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems (2008) (121)
DSOS and SDSOS optimization: LP and SOCP-based alternatives to sum of squares optimization (2014) (119)
NP-hardness of deciding convexity of quartic polynomials and related problems (2010) (115)
Joint Spectral Radius and Path-Complete Graph Lyapunov Functions (2011) (91)
A convex polynomial that is not sos-convex (2009) (78)
A Complete Characterization of the Gap between Convexity and SOS-Convexity (2011) (74)
Control and verification of high-dimensional systems with DSOS and SDSOS programming (2014) (74)
A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function (2011) (72)
A Survey of Recent Scalability Improvements for Semidefinite Programming with Applications in Machine Learning, Control, and Robotics (2019) (63)
Sum of Squares Basis Pursuit with Linear and Second Order Cone Programming (2015) (53)
Non-monotonic Lyapunov functions for stability of nonlinear and switched systems : theory and computation (2008) (46)
Some applications of polynomial optimization in operations research and real-time decision making (2015) (46)
Converse results on existence of sum of squares Lyapunov functions (2011) (39)
Analysis of the joint spectral radius via lyapunov functions on path-complete graphs (2011) (39)
Optimization over structured subsets of positive semidefinite matrices via column generation (2015) (39)
DC decomposition of nonconvex polynomials with algebraic techniques (2015) (34)
Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis (2012) (33)
A Characterization of Lyapunov Inequalities for Stability of Switched Systems (2016) (31)
On higher order derivatives of Lyapunov functions (2011) (29)
Improving efficiency and scalability of sum of squares optimization: Recent advances and limitations (2017) (25)
Towards scalable algorithms with formal guarantees for Lyapunov analysis of control systems via algebraic optimization (2014) (25)
Complexity of ten decision problems in continuous time dynamical systems (2012) (20)
Geometry of 3D Environments and Sum of Squares Polynomials (2016) (20)
On the difficulty of deciding asymptotic stability of cubic homogeneous vector fields (2011) (18)
Learning Dynamical Systems with Side Information (2020) (17)
On the construction of converging hierarchies for polynomial optimization based on certificates of global positivity (2017) (16)
Joint spectral radius of rank one matrices and the maximum cycle mean problem (2012) (16)
Stability of Polynomial Differential Equations: Complexity and Converse Lyapunov Questions (2013) (15)
A Globally Asymptotically Stable Polynomial Vector Field with Rational Coefficients and no Local Polynomial Lyapunov Function (2018) (14)
Lower Bounds on Complexity of Lyapunov Functions for Switched Linear Systems (2015) (13)
Sum of Squares Certificates for Stability of Planar, Homogeneous, and Switched Systems (2017) (13)
On the complexity of detecting convexity over a box (2018) (12)
On Algebraic Proofs of Stability for Homogeneous Vector Fields (2018) (11)
Robust-to-Dynamics Optimization (2018) (11)
When Is a Set of LMIs a Sufficient Condition for Stability? (2012) (10)
On the complexity of finding a local minimizer of a quadratic function over a polytope (2020) (10)
On the equivalence of algebraic conditions for convexity and quasiconvexity of polynomials (2010) (9)
Switched stability of nonlinear systems via SOS-convex Lyapunov functions and semidefinite programming (2013) (9)
A positive definite polynomial Hessian that does not factor (2009) (9)
SOS-Convex Lyapunov Functions with Applications to Nonlinear Switched Systems (2013) (8)
Response to "Counterexample to global convergence of DSOS and SDSOS hierarchies" (2017) (7)
Learning Dynamical Systems with Side Information (short version) (2019) (7)
Time-Varying Semidefinite Programs (2018) (7)
Robust-to-dynamics linear programming (2015) (6)
Sum of Squares ( SOS ) Techniques : An Introduction (2016) (6)
Complexity aspects of local minima and related notions (2020) (6)
On Complexity of Lyapunov Functions for Switched Linear Systems (2014) (6)
Sum of Squares and Polynomial Convexity (2009) (6)
On the complexity of testing attainment of the optimal value in nonlinear optimization (2018) (6)
Semidefinite Programming and Nash Equilibria in Bimatrix Games (2017) (6)
SOS-Convex Lyapunov Functions and Stability of Difference Inclusions (2018) (6)
Polynomial Norms (2017) (5)
Some Recent Directions in Algebraic Methods for Optimization and Lyapunov Analysis (2017) (3)
Learning Dynamical Systems with Side Information (Proofs) (2020) (1)
Sums of Separable and Quadratic Polynomials (2021) (1)
Robust minimum volume ellipsoids and higher-order polynomial level sets (2014) (1)
Feasibility checks and control laws for reconfigurations of spacecraft clusters (2012) (1)
NP-hardness of deciding convexity of quartic polynomials and related problems (2011) (0)
A convex polynomial that is not sos-convex (2011) (0)
Hardness Results and Algebraic Relaxations for Control of Underactuated Robots (2012) (0)
Some applications of polynomial optimization in operations research and real-time decision making (2015) (0)
Safely Learning Dynamical Systems from Short Trajectories (2020) (0)
DC decomposition of nonconvex polynomials with algebraic techniques (2017) (0)
Joint spectral radius, path-complete graphs, and semidefinite programming (2012) (0)
DIMACSWorkshop on Distance Geometry Theory and Applications (2016) (0)
Piecewise polynomial Lyapunov functions with guaranteed accuracy (2010) (0)
On the complexity of detecting convexity over a box (2019) (0)
A Sum of Squares Characterization of Perfect Graphs (2021) (0)

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