Results 1 - 10 of 644,358

Every locally characterized affine-invariant property is testable

by Arnab Bhattacharyya, Eldar Fischer, Hamed Hatami, Pooya Hatami, Shachar Lovett , 2013
"... Let F = Fp for any fixed prime p> 2. An affine-invariant property is a property of functions on Fn that is closed under taking affine transformations of the domain. We prove that all affine-invariant properties that have local characterizations are testable. In fact, we give a proximity-oblivious ..."
Abstract - Cited by 6 (3 self) - Add to MetaCart
Let F = Fp for any fixed prime p> 2. An affine-invariant property is a property of functions on Fn that is closed under taking affine transformations of the domain. We prove that all affine-invariant properties that have local characterizations are testable. In fact, we give a proximity

Limits on the rate of locally testable affine-invariant codes

by Eli Ben-sasson, Madhu Sudan , 2009
"... Despite its many applications, to program checking, probabilistically checkable proofs, locally testable and locally decodable codes, and cryptography, “algebraic property testing ” is not wellunderstood. A significant obstacle to a better understanding, was a lack of a concrete definition that abst ..."
Abstract - Cited by 13 (9 self) - Add to MetaCart
and Sudan showed that these two features (linearity of the property and its affine-invariance) play a central role in the testability of many known algebraic properties. However their work does not give a complete characterization of the testability of affine-invariant properties, and several technical

Sparse affine-invariant linear codes are locally testable

by Eli Ben-sasson, Noga Ron-zewi, Madhu Sudan , 2012
"... We show that sparse affine-invariant linear properties over arbitrary finite fields are locally testable with a constant number of queries. Given a finite field Fq and an extension field Fqn, a property is a set of functions mapping Fqn to Fq. The property is said to be affine-invariant if it is inv ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
We show that sparse affine-invariant linear properties over arbitrary finite fields are locally testable with a constant number of queries. Given a finite field Fq and an extension field Fqn, a property is a set of functions mapping Fqn to Fq. The property is said to be affine-invariant

Some closure features of locally testable affine-invariant properties

by Alan Guo, Madhu Sudan - Electronic Colloquium on Computational Complexity (ECCC , 2012
"... We prove that the class of locally testable affine-invariant properties is closed under sums, intersections and “lifts”. The sum and intersection are two natural operations on linear spaces of functions, where the sum of two properties is simply their sum as a vector space. The “lift” is a less natu ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
natural property that has been studied before. Previously such results were known for “single-orbit characterized ” affine-invariant properties, which known to be a subclass of locally testable ones, and are potentially a strict subclass. The fact that the intersection of locally-testable affine-invariant

3 Estimating the distance from testable affine-invariant properties

by Hamed Hatami, Shachar Lovett , 2014
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Testing low complexity affine-invariant properties

by Arnab Bhattacharyya, Eldar Fischer, Shachar Lovett - In Khanna [Kha13
"... Invariance with respect to linear or affine transformations of the domain is arguably the most common symmetry exhibited by natural algebraic properties. In this work, we show that any low complexity affine-invariant property of multivariate functions over finite fields is testable with a constant n ..."
Abstract - Cited by 8 (3 self) - Add to MetaCart
Invariance with respect to linear or affine transformations of the domain is arguably the most common symmetry exhibited by natural algebraic properties. In this work, we show that any low complexity affine-invariant property of multivariate functions over finite fields is testable with a constant

A characterization of locally testable affine-invariant properties via decomposition theorems

by Yuichi Yoshida - In Proceedings of the 46th Annual ACM Symposium on Theory of Computing (STOC , 2014
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Abstract - Cited by 1 (1 self) - Add to MetaCart
Abstract not found

A PERFORMANCE EVALUATION OF LOCAL DESCRIPTORS

by Krystian Mikolajczyk, Cordelia Schmid , 2005
"... In this paper we compare the performance of descriptors computed for local interest regions, as for example extracted by the Harris-Affine detector [32]. Many different descriptors have been proposed in the literature. However, it is unclear which descriptors are more appropriate and how their perfo ..."
Abstract - Cited by 1752 (53 self) - Add to MetaCart
In this paper we compare the performance of descriptors computed for local interest regions, as for example extracted by the Harris-Affine detector [32]. Many different descriptors have been proposed in the literature. However, it is unclear which descriptors are more appropriate and how

Locally weighted learning

by Christopher G. Atkeson, Andrew W. Moore , Stefan Schaal - ARTIFICIAL INTELLIGENCE REVIEW , 1997
"... This paper surveys locally weighted learning, a form of lazy learning and memorybased learning, and focuses on locally weighted linear regression. The survey discusses distance functions, smoothing parameters, weighting functions, local model structures, regularization of the estimates and bias, ass ..."
Abstract - Cited by 594 (53 self) - Add to MetaCart
This paper surveys locally weighted learning, a form of lazy learning and memorybased learning, and focuses on locally weighted linear regression. The survey discusses distance functions, smoothing parameters, weighting functions, local model structures, regularization of the estimates and bias

The SPLASH-2 programs: Characterization and methodological considerations

by Steven Cameron Woo, Moriyoshi Ohara, Evan Torrie, Jaswinder Pal Singh, Anoop Gupta - INTERNATIONAL SYMPOSIUM ON COMPUTER ARCHITECTURE , 1995
"... The SPLASH-2 suite of parallel applications has recently been released to facilitate the study of centralized and distributed shared-address-space multiprocessors. In this context, this paper has two goals. One is to quantitatively characterize the SPLASH-2 programs in terms of fundamental propertie ..."
Abstract - Cited by 1399 (12 self) - Add to MetaCart
properties and architectural interactions that are important to understand them well. The properties we study include the computational load balance, communication to computation ratio and traffic needs, important working set sizes, and issues related to spatial locality, as well as how these properties
Results 1 - 10 of 644,358