Lower bounds for sorting and merging
Lecture 16: Lower Bounds for Sorting
... Worst-case Analysis: Let’s begin by considering the worst-case performance, because it is easier than the average case. Since this is a recursive program, it is natural to use a recurrence to describe its running time. ...
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Lower Bounds for Differentially Private RAMs
... ORAM lower bound for non-restricted encodings is equivalent to showing lower bounds in sorting circuits, which is a long-standing problem in ...Our lower bounds only apply for ...
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Lower bounds and upper bounds for MaxSAT ⋆
... upper bounds on the optimum solution ...refining lower bounds ...a lower bound ...initial lower bounds and upper bounds to boost the ...
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Bounds to Complexities of Networks for Sorting and for Switching
... l °§2 . If one permits the use of negations in constructing the corresponding boolean ■unctions, these three measures of complexity can be reduced to the orders of log n, i, and n respectively. The latter network however ...
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Monotone Projection Lower Bounds from Extended Formulation Lower Bounds
... Ω(1) lower bound on monotone circuits computing the permanent, a lower bound that still remains ...Ω(1) lower bound on the ...formulation lower bound for the TSP polytope, we show that no such ...
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Improved upper bounds and lower bounds on broadcast function
... general lower bound, we introduce the first non-trivial general lower bound on B(n) by partitioning the vertices and the ...this lower bound has two limitations: only valid when n ≤ 2 m − 2 m 2 and ...
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Lower Bounds for Data Structures with Space Close to Maximum Imply Circuit Lower Bounds
... briefly lower bounds for dynamic data ...known lower bounds are Ω(log ...strong lower bound for such “half-dynamic” data structures would imply a lower bound for static data ...
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Lower bounds and resource allocation
... of lower bound has been always present as a crucial point in claims ...a lower bound is a function such that for each claims problem pE, cq and each agent i P N, b i pE, cq is the minimal amount that agent ...
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On Lower and Upper Bounds of Matrices
... on lower bounds for non-negative matrices acting on non-increasing non-negative sequences in l p when p ≥ 1 and its dual version, the upper bounds when 0 < p ≤ ...such bounds explicitly for ...
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Lower Bounds for Generalized Regulators
... 2. Use the saddle-point method to estimate the complex integrals. 3. Replace these estimates with estimates that do not depend on the p w and q w . 4. Plug these estimates into inequality (1.3) to get lower ...
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On Bayes Risk Lower Bounds
... risk lower bounds, it only applies to weighted quadratic loss functions (as its proof relies on Cauchy-Schwarz inequality) and requires the underlying Fisher information to be easily computable, which ...
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Genuine Lower Bounds for QBF Expansion
... genuine lower bounds in expansion-based QBF proof ...proof-size lower bound for a whole class of formula families, and demonstrate the power of our approach over existing methods by providing ...
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New Lower Bounds For Orthogonal Drawings
... worst-case bounds on the area and the number of ...to lower bounds, ...previous lower bounds have appeared in [12, 14, 19, 21, ...improve, lower bounds for orthogonal ...
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Upper and lower bounds for the Bregman divergence
... upper bounds for the Bregman divergence corresponding to F = φ ( · ), if φ : R → R is convex and sufficiently ...Regarding lower bounds we will make use of F ∗ , the convex conjugate of ...that ...
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Lower bounds on the robustness to adversarial perturbations
... deriving lower bounds on the magnitudes of perturbations necessary to change the classification of neural ...proposed bounds can be computed efficiently, requiring time at most linear in the number ...
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Lower Bounds for Passive and Active Learning
... Lower Bounds for Passive and Active Learning Abstract We develop unified information-theoretic machinery for deriving lower bounds for passive and active learning ...Our bounds involve ...
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Lower bounds for some factorable matrices
... For A = C, the minimum occurs at f (0), which is the sum of the pth power of the first column of C. The proof of the result of Bennett is relatively easy, when contrasted with the task of finding L p for a particular ...
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Lower Bounds for Straight Line Factoring
... about lower bounds on the lengths of integers and the possibility of certain factoring algorithms, but does not give an explicit lower bound on ...provides lower bounds on the length of ...
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The lower bounds on nominal interest rates
... The two examples above have shown that it is possible to approach the lower bound on deposit rates by simulating the possible outcomes of different assets. The simulation results are based on the chosen ...
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On Circuit Lower Bounds from Derandomization
... It is well-known that the standard approach for derandomizing BPP, namely via quick pseudorandom generators for circuits, requires proving superpolynomial circuit lower bounds for EXP (see [4], for ...
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