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Oblivious Routing for the Lp-norm

by Matthias Englert, Harald Räcke
"... Gupta et al. [13] introduced a very general multicommodity flow problem in which the cost of a given flow solution on a graph G = (V, E) is calculated by first computing the link loads via a load-function ℓ, that describes the load of a link as a function of the flow traversing the link, and then a ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
, and then aggregating the individual link loads into a single number via an aggregation function agg: R |E | → R. In this paper we show the existence of an oblivious routing scheme with competitive ratio O(log n) and a lower bound of Ω(log n / log log n) for this model when the aggregation function agg is an Lp-norm

Adaptive coherent Lp-norm combining

by Amir Nasri, Ali Nezampour, Robert Schober - IEEE ICC Proceedings , 2009
"... Abstract — In this paper, we introduce an adaptive Lp–norm metric for robust coherent diversity combining in non–Gaussian noise and interference. We derive a general closed–form expres-sion for the asymptotic bit error rate (BER) for Lp–norm combin-ing in independent non–identically distributed Rice ..."
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Abstract — In this paper, we introduce an adaptive Lp–norm metric for robust coherent diversity combining in non–Gaussian noise and interference. We derive a general closed–form expres-sion for the asymptotic bit error rate (BER) for Lp–norm combin-ing in independent non–identically distributed

ODE TO Lp NORMS

by unknown authors
"... ar ..."
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Lp-norm of the real part

by Gershon Kresin
"... Sharp pointwise estimates for analytic functions by the ..."
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Sharp pointwise estimates for analytic functions by the

All-norms and all-Lp-norms approximation algorithms

by Daniel Golovin, Anupam Gupta, Amit Kumar, Kanat Tangwongsan , 2007
"... ABSTRACT. In many optimization problems, a solution can be viewed as ascribing a “cost ” to each client, and the goal is to optimize some aggregation of the per-client costs. We often optimize some Lp-norm (or some other symmetric convex function or norm) of the vector of costs—though different appl ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
ABSTRACT. In many optimization problems, a solution can be viewed as ascribing a “cost ” to each client, and the goal is to optimize some aggregation of the per-client costs. We often optimize some Lp-norm (or some other symmetric convex function or norm) of the vector of costs—though different

Performance Bounds in Lp norm for Approximate Value Iteration

by Rémi Munos, Abstra T - SIAM Journal on Control and Optimization , 2007
"... Approximate Value Iteration (AVI) is a method for solving large Markov De ision Problems by approximating the optimal value fun tion with a sequen e of value fun tion representations Vn pro essed a ording to the iterations Vn+1 = AT Vn where T is the so- alled Bellman operator and A an approximatio ..."
Abstract - Cited by 42 (4 self) - Add to MetaCart
a fun tion (the best t) that minimizes an empiri al approximation error in Lp-norm (p ≥ 1). In this paper, we extend the performan e bounds of AVI to weighted Lp-norms, whi h enables to dire tly relate the performan e of AVI to the approximation power of the SL algorithm, hen e assuring

mm-GNAT: index structure for arbitrary Lp norm

by Kensuke Onishi, Michihiro Kobayakawa, Mamoru Hoshi
"... For fast ε-similarity search, various index structures have been proposed. Yi et al. proposed a concept multimodality support and suggested inequalities by which ε-similarity search by L1, L2 and L ∞ norm can be realized. We proposed an extended inequality which allows us to realize ε-similarity sea ..."
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-similarity search by arbitrary Lp norm using an index based on Lq norm. In these investigations a search radius of a norm is converted into that of other norm. In this paper, we propose an index structure which allows search by arbitrary Lp norm, called mm-GNAT (multimodality support GNAT), without extending search

Lp NORM INEQUALITIES FOR AREA FUNCTIONS WITH APPROACH REGIONS

by Choon-serk Suh
"... Abstract. In this paper we first introduce a space of homo-geneous type X, and then consider a kind of generalized upper half-space X×(0,∞). We are mainly considered with inequali-ties for the Lp norms of area functions associated with approach regions in X × (0,∞). 1. ..."
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Abstract. In this paper we first introduce a space of homo-geneous type X, and then consider a kind of generalized upper half-space X×(0,∞). We are mainly considered with inequali-ties for the Lp norms of area functions associated with approach regions in X × (0,∞). 1.

3 ON lp NORMS OF FACTORABLE MATRICES

by Peng Gao
"... ar ..."
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Lp-norm idf for large scale image search

by Liang Zheng, Shengjin Wang, Ziqiong Liu, Qi Tian - In CVPR , 2013
"... The Inverse Document Frequency (IDF) is prevalently u-tilized in the Bag-of-Words based image search. The basic idea is to assign less weight to terms with high frequency, and vice versa. However, the estimation of visual word fre-quency is coarse and heuristic. Therefore, the effectiveness of the c ..."
Abstract - Cited by 12 (6 self) - Add to MetaCart
of the conventional IDF routine is marginal, and far from optimal. To tackle this problem, this paper introduces a nov-el IDF expression by the use of Lp-norm pooling technique. Carefully designed, the proposed IDF takes into account the term frequency, document frequency, the complexity of im-ages, as well
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