Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Sub-Exponential"”.
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Improved Tools for Local Hamiltonians
… law of [Anshu, Arad, and Gosset ’21], giving a sub-exponential-time classical algorithm to compute the ground states. This time complexity cannot be improved beyond sub-exponential assuming the randomized exponential time hypothesis, even for the special case of classical constraint satisfaction …
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Decentralized detection in resource-limited sensor network architectures
… We show that the error probability decays exponentially fast with the number of nodes under both a Neyman-Pearson criterion and a Bayesian criterion, and provide bounds for the optimal error exponent. Furthermore, we show that under the Neyman-Pearson criterion, the optimal error exponent …
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Smoothed analysis of Gaussian elimination
… first analysis of partial pivoting that gives a sub-exponential bound on the growth factor. In particular, we show that if the random perturbation is Gaussian with variance [sigma]², then the growth factor is bounded by (n/[sigma])[to the power of] (o log n) with very high probability.
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Breaking barriers in secret sharing
… shares of a secret among n parties. Any subset of parties [mathematical formula] can jointly reconstruct the secret if F(T) = 1, and should have no information about the secret if F(T) = 0. One of the major long-standing questions in information-theoretic cryptography is to determine the …
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Computationally Efficient Reinforcement Learning under Partial Observability
… either lack provable guarantees, require exponential time, or only apply under stringent assumptions about either the dynamics of the system or the observation model. This thesis shows that the computational intractability of planning and learning in worst-case POMDPs is fundamentally due …
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Stochastically Constrained Simulation Optimization On Mixed-Integer Spaces
… rate of the solution iterates is observed to be sub-exponential, slower than the exponential rate observed for SO problems on unconstrained discrete spaces. Additionally, efficiency for cgR-SPLINE dictates that the number of multistarts and the total simulation budget be sublinearly related, …
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Structure vs. hardness through the obfuscation lens
… symbol] coNP, and is in fact the reason behind (sub-exponential or quantum) algorithms for these problems. The question is whether such structure is inherent in different cryptographic primitives, deeming them inherently easier. We study the relationship between two structured complexity classes, …
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Unique Games Conjecture : the Boolean Hypercube and connections to graph lifts
… existing spectral methods fail to achieve a sub exponential time bound. We initiate the study of the behaviour of the standard semi-definite program on the Hypercube. We construct an almost optimal integrality gap instance on the Hypercube for the Goemans-Williamson semidefinite program (SDP) …
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A concentration inequality based statistical methodology for inference on covariance matrices and operators
… and inferential procedures can be and are subsequently developed. For high dimensional data, we propose a method to search a concentration in- equality based confidence set using a binary search algorithm for the estimation of large sparse covariance matrices. Both sub-Gaussian and …
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High-dimensional change point detection for mean and location parameters
… which may have one or more distributional shifts subject to models such as mean or covariance changes. In this dissertation, we consider the offline multiple change point problem that the sample size is fixed in advance or after observation. In particular, we concentrate on high-dimensional setup …