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Lower bounds on Herbrand’s theorem [PDF]
We give non Kalmar-elementary lower bounds on the elimination of quantifier inferences via Herbrand’s theorem.
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Radio Network Lower Bounds Made Easy
Theoreticians have studied distributed algorithms in the radio network model for close to three decades. A significant fraction of this work focuses on lower bounds for basic communication problems such as wake-up (symmetry breaking among an unknown set ...
Newport, Calvin
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Lower bounds for representation growth [PDF]
18 ...
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Lower Bounds and Upper Bounds for MaxSAT [PDF]
This paper presents several ways to compute lower and upperbounds for MaxSAT based on calling a complete SAT solver. Preliminary results indicate that (i) the bounds are of high quality, (ii) the bounds can boost the search of MaxSAT solvers on some benchmarks, and (iii) the upper bounds computed by a Stochastic Local Search procedure (SLS) can be ...
Heras, Federico +2 more
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On Lower Bounds for Statistical Learning Theory
In recent years, tools from information theory have played an increasingly prevalent role in statistical machine learning. In addition to developing efficient, computationally feasible algorithms for analyzing complex datasets, it is of theoretical ...
Po-Ling Loh
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Lower Bounds for the Graph Homomorphism Problem
The graph homomorphism problem (HOM) asks whether the vertices of a given $n$-vertex graph $G$ can be mapped to the vertices of a given $h$-vertex graph $H$ such that each edge of $G$ is mapped to an edge of $H$.
A Björklund +19 more
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Lower bounds for Buchsbaum* complexes
The class of $(d-1)$-dimensional Buchsbaum* simplicial complexes is studied. It is shown that the rank-selected subcomplexes of a (completely) balanced Buchsbaum* simplicial complex are also Buchsbaum*. Using this result, lower bounds on the $h$-numbers of balanced Buchsbaum* simplicial complexes are established. In addition, sharp lower bounds on the $
Browder, Jonathan, Klee, Steven
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Tighter lower bounds on quantum annealing times
We derive lower bounds on the time needed for a quantum annealer to prepare the ground state of a target Hamiltonian. These bounds do not depend on the annealing schedule and can take the local structure of the Hamiltonian into account. Consequently, the
Luis Pedro García-Pintos, Mrunmay Sahasrabudhe, Christian Arenz
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We propose two axioms that introduce lower bounds into resource monotonicity requirements for rules for the problem of adjudicating conflicting claims. Suppose the amount to divide increases.
LUTTENS, Roland Iwan
core
Proportions of r-regular elements in finite classical groups
For a prime $r$, we obtain lower bounds on the proportion of $r$-regular elements in classical groups and show that these lower bounds are the best possible lower bounds that do not depend on the order of the defining field.
Babai, Laszlo +3 more
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