Graph Theory

بحث في نظرية البيان يحتوي الفصل الاول على أساسيات ومبادئ برمجية لبرمجة خوارزميات البيان و تمثيل البيان برمجيا , و يحتوي الفصل الثاني على شرح لطرق عبور البيان باستخدام خوارزميات البحث في العرض و البحث في العمق , فيما يعرض الفصل الثالث خوارزميات أساسية في البيان , مثل خوارزمية الترتيب الطوبولوجي و خوارزميات أقصر طريق دايكسترا Dijekstra و floyd warshall , التعامل مع الحالات التي يحتوي البيان فيها وصلات تكلفة سالبة و البيان الخالي من الدورات Acyclic .

Mediators in Determining what Processing BERT Performs First

Probing neural models for the ability to perform downstream tasks using their activation patterns is often used to localize what parts of the network specialize in performing what tasks. However, little work addressed potential mediating factors in such comparisons. As a test-case mediating factor, we consider the prediction's context length, namely the length of the span whose processing is minimally required to perform the prediction. We show that not controlling for context length may lead to contradictory conclusions as to the localization patterns of the network, depending on the distribution of the probing dataset. Indeed, when probing BERT with seven tasks, we find that it is possible to get 196 different rankings between them when manipulating the distribution of context lengths in the probing dataset. We conclude by presenting best practices for conducting such comparisons in the future.

Hybrid Tabu Search And Guided Local Search And Existence 2-Opt Local Search To Contribute In Solving The Vehicle Routing Problem With Time Windows

In this research, we are studying the possibility of contribution in solving the Vehicle Routing Problem with Time Windows(VRPTW),that is one of the optimization problems of the NP-hard type. Moreover, Hybrid algorithm (HA) provided that integrates between Tabu Search Algorithm and Guided Local Search algorithm And existence 2- Opt Local Search, based on the savings algorithm in terms of continued of a particular objective to provide a lot of savings. As we will compare the presented approach with standard tests to demonstrate the efficiency, and their impact on the quality of the solution in terms of speed of convergence and the ability to find better solutions.