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  2. Topological data analysis - Wikipedia

    en.wikipedia.org/wiki/Topological_data_analysis

    The isometry theorem asserts that the interleaving distance is equal to the bottleneck distance. [63] Bubenik et al. have abstracted the definition to that between functors F , G : P → D {\displaystyle F,G\colon P\to D} when P {\textstyle P} is equipped with a sublinear projection or superlinear family, in which still remains a pseudometric ...

  3. Widest path problem - Wikipedia

    en.wikipedia.org/wiki/Widest_path_problem

    In this graph, the widest path from Maldon to Feering has bandwidth 29, and passes through Clacton, Tiptree, Harwich, and Blaxhall. In graph algorithms, the widest path problem is the problem of finding a path between two designated vertices in a weighted graph, maximizing the weight of the minimum-weight edge in the path.

  4. Attention Is All You Need - Wikipedia

    en.wikipedia.org/wiki/Attention_Is_All_You_Need

    The RNNsearch model introduced an attention mechanism to seq2seq for machine translation to solve the bottleneck problem (of the fixed-size output vector), allowing the model to process long-distance dependencies more easily. The name is because it "emulates searching through a source sentence during decoding a translation".

  5. Bottleneck traveling salesman problem - Wikipedia

    en.wikipedia.org/wiki/Bottleneck_traveling...

    In an asymmetric bottleneck TSP, there are cases where the weight from node A to B is different from the weight from B to A (e. g. travel time between two cities with a traffic jam in one direction). The Euclidean bottleneck TSP, or planar bottleneck TSP, is the bottleneck TSP with the distance being the ordinary Euclidean distance. The problem ...

  6. Information bottleneck method - Wikipedia

    en.wikipedia.org/wiki/Information_bottleneck_method

    The information bottleneck method is a technique in information theory introduced by Naftali Tishby, Fernando C. Pereira, and William Bialek. [1] It is designed for finding the best tradeoff between accuracy and complexity (compression) when summarizing (e.g. clustering) a random variable X, given a joint probability distribution p(X,Y) between X and an observed relevant variable Y - and self ...

  7. Linear bottleneck assignment problem - Wikipedia

    en.wikipedia.org/wiki/Linear_bottleneck...

    The term "bottleneck" is explained by a common type of application of the problem, where the cost is the duration of the task performed by an agent. In this setting the "maximum cost" is "maximum duration", which is the bottleneck for the schedule of the overall job, to be minimized.

  8. Bottleneck - Wikipedia

    en.wikipedia.org/wiki/Bottleneck

    Bottleneck (engineering), where the performance of an entire system is limited by a single component; Bottleneck (network), in a communication network; Bottleneck (production), where one process reduces capacity of the whole chain; Bottleneck (software), in software engineering; Interconnect bottleneck, limits on integrated circuit performance

  9. Minimum bottleneck spanning tree - Wikipedia

    en.wikipedia.org/wiki/Minimum_bottleneck...

    A bottleneck edge is the highest weighted edge in a spanning tree. A spanning tree is a minimum bottleneck spanning tree if the graph does not contain a spanning tree with a smaller bottleneck edge weight. [1] For a directed graph, a similar problem is known as Minimum Bottleneck Spanning Arborescence (MBSA).