
No quantum speedup over gradient descent for nonsmooth convex optimization
We study the firstorder convex optimization problem, where we have blac...
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Towards Stronger Counterexamples to the LogApproximateRank Conjecture
We give improved separations for the query complexity analogue of the lo...
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Learning sums of powers of lowdegree polynomials in the nondegenerate case
We develop algorithms for writing a polynomial as sums of powers of low ...
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Towards a theory of noncommutative optimization: geodesic first and second order methods for moment maps and polytopes
This paper initiates a systematic development of a theory of noncommuta...
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Search problems in algebraic complexity, GCT, and hardness of generator for invariant rings
We consider the problem of outputting succinct encodings of lists of gen...
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More barriers for rank methods, via a "numeric to symbolic" transfer
We prove new barrier results in arithmetic complexity theory, showing se...
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Recent progress on scaling algorithms and applications
Scaling problems have a rich and diverse history, and thereby have found...
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Classical lower bounds from quantum upper bounds
We prove lower bounds on complexity measures, such as the approximate de...
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Efficient algorithms for tensor scaling, quantum marginals and moment polytopes
We present a polynomial time algorithm to approximately scale tensors of...
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Operator Scaling via Geodesically Convex Optimization, Invariant Theory and Polynomial Identity Testing
We propose a new secondorder method for geodesically convex optimizatio...
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Alternating minimization, scaling algorithms, and the nullcone problem from invariant theory
Alternating minimization heuristics seek to solve a (difficult) global o...
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Barriers for Rank Methods in Arithmetic Complexity
Arithmetic complexity is considered simpler to understand than Boolean c...
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Adapting the DMTCP Plugin Model for Checkpointing of Hardware Emulation
Checkpointrestart is now a mature technology. It allows a user to save ...
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Communication Lower Bounds for Statistical Estimation Problems via a Distributed Data Processing Inequality
We study the tradeoff between the statistical error and communication co...
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Ankit Garg
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