
Safely Learning Dynamical Systems from Short Trajectories
A fundamental challenge in learning to control an unknown dynamical syst...
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Learning Dynamical Systems with Side Information
We present a mathematical and computational framework for the problem of...
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Complexity aspects of local minima and related notions
We consider the notions of (i) critical points, (ii) secondorder points...
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On the complexity of finding a local minimizer of a quadratic function over a polytope
We show that unless P=NP, there cannot be a polynomialtime algorithm th...
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A Survey of Recent Scalability Improvements for Semidefinite Programming with Applications in Machine Learning, Control, and Robotics
Historically, scalability has been a major challenge to the successful a...
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TimeVarying Semidefinite Programs
We study timevarying semidefinite programs (TVSDPs), which are semidef...
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On the Complexity of Detecting Convexity over a Box
It has recently been shown that the problem of testing global convexity ...
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RobusttoDynamics Optimization
A robusttodynamics optimization (RDO) problem is an optimization probl...
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On the Complexity of Testing Attainment of the Optimal Value in Nonlinear Optimization
We prove that unless P=NP, there exists no polynomial time (or even pseu...
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Response to "Counterexample to global convergence of DSOS and SDSOS hierarchies"
In a recent note [8], the author provides a counterexample to the global...
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On the construction of converging hierarchies for polynomial optimization based on certificates of global positivity
In recent years, techniques based on convex optimization and real algebr...
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DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization
In recent years, optimization theory has been greatly impacted by the ad...
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Geometry of 3D Environments and Sum of Squares Polynomials
Motivated by applications in robotics and computer vision, we study prob...
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DC Decomposition of Nonconvex Polynomials with Algebraic Techniques
We consider the problem of decomposing a multivariate polynomial as the ...
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Amir Ali Ahmadi
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