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Nearest neighbor search is a very active field in machine learning for it appears in many application cases, including classification and object retrieval. In its canonical version, the complexity of the search is linear with both the…

Machine Learning · Computer Science 2017-07-06 Vincent Gripon , Matthias Löwe , Franck Vermet

This paper is concerned with linear parameter-dependent systems and considers the notion uniform ensemble reachability. The focus of this work is on constructive methods to compute suitable parameter-independent open-loop inputs for such…

Optimization and Control · Mathematics 2023-06-16 Michael Schönlein

This thesis surveys the research in patch-based synthesis and algorithms for finding correspondences between small local regions of images. We additionally explore a large kind of applications of this new fast randomized matching technique.…

Graphics · Computer Science 2020-05-14 Hadi Abdi Khojasteh

We present algorithms that run in linear time on pointer machines for a collection of problems, each of which either directly or indirectly requires the evaluation of a function defined on paths in a tree. These problems previously had…

Data Structures and Algorithms · Computer Science 2007-05-23 Adam L. Buchsbaum , Loukas Georgiadis , Haim Kaplan , Anne Rogers , Robert E. Tarjan , Jeffery R. Westbrook

A local algorithm is a distributed algorithm where each node must operate solely based on the information that was available at system startup within a constant-size neighbourhood of the node. We study the applicability of local algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-09-09 Patrik Floréen , Petteri Kaski , Topi Musto , Jukka Suomela

We study the densest subgraph problem and its NP-hard densest at-most-$k$ subgraph variant through the lens of learning-augmented algorithms. We show that, given a reasonably accurate predictor that estimates whether a node belongs to the…

Data Structures and Algorithms · Computer Science 2026-04-16 Thai Bui , Luan Nguyen , Hoa T. Vu

We give an algorithm for approximating a given plane curve segment by a planar elastic curve. The method depends on an analytic representation of the space of elastic curve segments, together with a geometric method for obtaining a good…

Numerical Analysis · Mathematics 2016-08-05 David Brander , Jens Gravesen , Toke Bjerge Nørbjerg

This paper describes a new algorithm - P&A algorithm - utilized in identifying overlapping communities in non oriented valued graph regardless of their number or their size. The complexity of this algorithm is minimal in the matter that the…

Physics and Society · Physics 2007-05-23 Nicolas Pissard , Houssem Assadi

We study the problem of multiway number partition optimization, which has a myriad of applications in the decision, learning and optimization literature. Even though the original multiway partitioning problem is NP-hard and requires…

Data Structures and Algorithms · Computer Science 2022-03-14 Kaan Gokcesu , Hakan Gokcesu

Searching for similar logos in the registered logo database is a very important and tedious task at the trademark office. Speed and accuracy are two aspects that one must attend to while developing a system for retrieval of logos. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-04-11 Ushasi Chaudhuri , Partha Bhowmick , Jayanta Mukhopadhyay

In this work we present a new simple but efficient scheme - Subsquares approach - for development of algorithms for enclosing the solution set of overdetermined interval linear systems. We are going to show two algorithms based on this…

Numerical Analysis · Computer Science 2013-05-07 Jaroslav Horáček , Milan Hladík

Feature selection is a problem of finding efficient features among all features in which the final feature set can improve accuracy and reduce complexity. In feature selection algorithms search strategies are key aspects. Since feature…

Machine Learning · Computer Science 2016-01-27 Mohadeseh Montazeri , Hamid Reza Naji , Mitra Montazeri , Ahmad Faraahi

We introduce algorithms that use predictions from machine learning applied to the input to circumvent worst-case analysis. We aim for algorithms that have near optimal performance when these predictions are good, but recover the…

Data Structures and Algorithms · Computer Science 2020-06-17 Michael Mitzenmacher , Sergei Vassilvitskii

We introduce a probabilistic approach to the LMS filter. By means of an efficient approximation, this approach provides an adaptable step-size LMS algorithm together with a measure of uncertainty about the estimation. In addition, the…

Machine Learning · Statistics 2016-04-11 Jesus Fernandez-Bes , Víctor Elvira , Steven Van Vaerenbergh

We study the Closest Pair Problem in Hamming metric, which asks to find the pair with the smallest Hamming distance in a collection of binary vectors. We give a new randomized algorithm for the problem on uniformly random input…

Data Structures and Algorithms · Computer Science 2021-12-08 Andre Esser , Robert Kübler , Floyd Zweydinger

We produce algorithms to detect whether a complex affine variety computed and presented numerically by the machinery of numerical algebraic geometry corresponds to an associated component of a polynomial ideal.

Algebraic Geometry · Mathematics 2016-01-15 Robert Krone , Anton Leykin

In this paper we give a definition of "algorithm," "finite algorithm," "equivalent algorithms," and what it means for a single algorithm to dominate a set of algorithms. We define a derived algorithm which may have a smaller mean execution…

Data Structures and Algorithms · Computer Science 2007-05-23 Kerry M. Soileau

Research on nearest-neighbor methods tends to focus somewhat dichotomously either on the statistical or the computational aspects -- either on, say, Bayes consistency and rates of convergence or on techniques for speeding up the proximity…

Statistics Theory · Mathematics 2020-04-17 Klim Efremenko , Aryeh Kontorovich , Moshe Noivirt

This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear programming to solving linear programs of…

Optimization and Control · Mathematics 2015-07-31 Richard Bödi , Katrin Herr , Michael Joswig

We study the approximability of an existing framework for clustering edge-colored hypergraphs, which is closely related to chromatic correlation clustering and is motivated by machine learning and data mining applications where the goal is…

Data Structures and Algorithms · Computer Science 2023-05-16 Nate Veldt
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