News & Events Optimization Optimality in Matching Problems Optimality in Matching Problems Ran Duan & Chien-Chung Huang Optimality in Matching Problems Matching is a fundamental concept in computer science [...] stable matching, can be solved in polynomial time as well. Maximum weight matching: approximate approach In the maximum weight matching problem, we want the sum of weights of edges in the matching to be [...] to have a “good” matching – a matching in which the boys and girls would be happy with the current situation. One possible optimality condition to capture the “goodness” of a matching is that of the stability:
& Events Information Search & Digital Knowledge Ontology Matching with PARIS Ontology Matching with PARIS Fabian M. Suchanek Ontology Matching with PARIS In the last decade, the World Wide Web has been [...] ontology should be matched to the entity “A. Jacotey” in the other. Otherwise, computers would not be able to integrate them properly in the search for the singer’s concerts. This matching process is anything [...] to now, approaches for aligning ontologies have mainly considered only the matching of classes and relations, or the matching of entities. Our idea was that both of these strategies could complement each
indicates matching types. Correspondence problems and symmetry There are a large number of correspondence problems: The first aspect is how correspondences are established. The simplest option is to match geometry [...] we can fully automatically register multiple scans of a building (rigid matching) or of a scanned person (deformable matching), or automatically perform semantic tagging, for example, in large scale 3D [...] determine whether two shapes are essentially the same, and if so, which points are corresponding, i.e., matching equivalent geometry. We have addressed two aspects of this problem. The first is the primary problem
Research Vision and Language Diverse Captions with Adversarial Training Speaking the Same Language: Matching Machine to Human Captions by Adversarial Training Rakshith Shetty , Marcus Rohrbach , Lisa Anne [...] target, we employ adversarial training in combination with an approximate Gumbel sampler to implicitly match the generated distribution to the human one. While our method achieves comparable performance to the [...] the captions, we generate a set of diverse captions that are significantly less biased and better match the global uni-, bi- and tri-gram distributions of the human captions. Caption generator model. Deep
sz theorem and Spanning Tree Congestion [Jun28] Jul, 5 Julian The Weighted Matching Approach to Maximum Cardinality Matching [Jul5] Jul, 12 Anurag Boundaries of VP and VNP [Jul12] Jul, 19 Bhaskar Improved [...] between surfaces Amir Nayyeri and Hanzhong Xu Bhaskar Ray Chaudhury The Weighted Matching Approach to Maximum Cardinality Matching Harold N. Gabow Andreas Karrenbauer X Best-Response Dynamics in Combinatorial [...] Christian Löwenstein, Dieter Rautenbach, Friedrich Regen [Jul5] The Weighted Matching Approach to Maximum Cardinality Matching Harold N. Gabow [Jul12] Boundaries of VP and VNP Joshua A. Grochow, Ketan D
[15] Optional: [16], [17] 11 June no class 18 June Semantic matching Background: [19] Required: [21], [22] Optional: [20] 25 June Semantic matching #2 due, #3 assigned Background: [23], [24], [25] Required: [...] Required: [26], [27] Optional: [28], [29] 27 June (Thurs) Semantic matching & query expansion Background: [1] Ch 9 Required: [30], [31] Optional: [32], [33], [34] 2 July Entities Required: [37], [39] Optional: [...] [chapter pdfs] [4] Jiafeng Guo, Yixing Fan, Qingyao Ai, and W. Bruce Croft. 2016. A Deep Relevance Matching Model for Ad-hoc Retrieval. In Proceedings of the 25th ACM International on Conference on Information
(arXiv) 8 - Lower Bounds and Algorithms for Regular Expression Matching/Membership "Which Regular Expression Patterns are Hard to Match?" A. Backurs, P. Indyk FOCS'16 "A Dichotomy for Regular Expression [...] G. Woeginger ICALP'16 11 - Tight Upper and Lower Bounds on Pattern Matching with Mismatches "Optimal trade-offs for pattern matching with k mismatches" P. Gawrychowski, P. Uznański unpublished (arXiv)
Solution 12 Slides Jul 13 Bipartite Matching Chapter 8.2 in [MG] Slides Jul 18 Hall's Theorem, Matching Polytopes Chapter 8.2 in [MG] Test Exam Slides Jul 20 Matching Polytopes Chapter 8.2 in [MG] Slides [...] n problem. For example, combinatorial problems, such as shortest paths, maximum flows, maximum matchings in graphs, among others have a natural formulation as a linear (integer) optimization problem. In
Cut, Matching Chapter 7.5 in [BT] Script Jul 3 Approximation algorithms, Matching vs Vertex Cover Chapter 10.3 in [BT] , Chapter 4 in [W] Sheet 12 , Solution 12 Script Jul 5 Video lecture on matching Chapter [...] n problem. For example, combinatorial problems, such as shortest paths, maximum flows, maximum matchings in graphs, among others have a natural formulation as a linear (integer) optimization problem. In
