1. LexRank for Text Summarization: Implement LexRank to summarize text; evaluate by the coherence and accuracy of the summaries.

    Approach: Graph-based

    Resource: https://arxiv.org/pdf/1109.2128

  2. Approximate Nearest Neighbor (ANN) Search: Build an ANN algorithm for high-dimensional data; assess by speed and accuracy of nearest neighbor retrieval.

    Data Structure: KD-Tree

    Resource: https://theory.stanford.edu/~rinap/papers/kdtreelatin.pdf

  3. Greedy Algorithms for AI Pathfinding: Design a greedy pathfinding algorithm; compare its efficiency and path optimality against A*.

    Approach: Greedy

    Resource: https://www.researchgate.net/publication/348997309_Greedy_A-Star_and_Dijkstra's_Algorithms_in_Finding_Shortest_Path

  4. Dynamic Programming for Sequence Alignment: Create a dynamic programming solution for sequence alignment; check the accuracy and computational efficiency in matching sequences.

    Approach: Dynamic Programming

    Resource: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9024764/

  5. Graph-Based Community Detection: Implement community detection in social networks; analyze the quality of identified clusters and computational efficiency.

    Data Structure: Graph

    Resource: https://arxiv.org/pdf/2309.11798

  6. Backtracking for Constraint Satisfaction Problems (CSPs): Solve CSPs using backtracking; evaluate by solution completeness and time complexity.

    Approach: Backtracking

  7. Divide and Conquer in Image Processing: Apply divide and conquer to image processing tasks; measure performance by processing speed and accuracy.

    Approach: Divide and Conquer

    Resource: https://www.sciencedirect.com/science/article/abs/pii/0743731587900104

  8. Genetic Algorithms for Optimization: Explore genetic algorithms for optimization; assess by the quality of solutions and convergence speed.

    Approach: Genetic Algorithm

  9. Monte Carlo Tree Search (MCTS) for Game AI: Develop an MCTS algorithm for game AI; evaluate by decision-making effectiveness and computational efficiency.

    Approach: Tree Search

    Resource: https://sander.landofsand.com/publications/AIIDE08_Chaslot.pdf

  10. Floyd-Warshall for All-Pairs Shortest Paths: Implement Floyd-Warshall for shortest paths in graphs; check for correctness and performance in large networks.

    Approach: Dynamic Programming