Programming Algorithms
Programming Algorithms
A comprehensive guide to writing efficient programs with examples in Lisp
About the Author
Table of Contents
-
-
Introduction
- Why Algorithms Matter
- A Few Words about Lisp
- Algorithmic Complexity
-
A Crash Course in Lisp
- The Core of Lisp
- A Code Example
- The REPL
-
Basic Expressions
- Sequential Execution
- Branching
- Looping
- Procedures and Variables
- Comments
- Getting Started
-
Introduction
-
Essential Data Structures
-
1 Data Structures
- Data Structures vs Algorithms
- The Data Structure Concept
- Contiguous and Linked Data Structures
- Tuples
- Passing Data Structures in Function Calls
- Structs in Action: Union-Find
- Take-Aways
-
2 Arrays
- Arrays as Sequences
- Dynamic Vectors
- Why Are Arrays Indexed from 0
- Multi-Dimensional Arrays
-
Binary Search
- Binary Search in Action: a Fast Specialized In-Memory DB
-
Sorting
- O(n^2) Sorting
- Quicksort
- Production Sort
- Performance Benchmark
- Take-Aways
-
3 Linked Lists
- Lists as Sequences
- Lists as Functional Data Structures
- Different Kinds of Lists
-
FIFO & LIFO
- Queue
- Stack
- Deque
- Stacks in Action: SAX Parsing
- Lists as Sets
-
Merge Sort
- Parallelization of Merge Sort
- Lists and Lisp
- Take-Aways
-
4 Key-Values
-
Concrete Key-values
- Simple Arrays
- Associative Lists
- Hash-Tables
- Structs
- Trees
- Operations
-
Memoization
- Memoization in Action: Transposition Tables
-
Cache Invalidation
- Second Chance and Clock Algorithms
- LFU
- LRU
- Low-Level Caching
- Take-Aways
-
Concrete Key-values
-
1 Data Structures
-
Derivative Data Structures
-
5 Hash-Tables
-
Implementation
- Dealing with Collisions
- Hash-Code
- Advanced Hashing Techniques
- Hash-Functions
-
Operations
- Initialization
- Access
- Iteration
-
Perfect Hashing
- Implementation
- The CHM92 Algorithm
- Distributed Hash-Tables
- Hashing in Action: Content Addressing
- Take-Aways
-
Implementation
-
6 Trees
- Implementation Variants
- Tree Traversal
- Binary Search Trees
-
Splay Trees
- Complexity Analysis
- Red-Black and AVL Trees
- B-Trees
- Heaps
- Tries
- Trees in Action: Efficient Mapping
- Take-Aways
-
7 Graphs
- Graph Representations
- Topological Sort
-
MST
- Prim’s Algorithm
- Kruskal’s Algorithm
-
Pathfinding
- Dijkstra’s Algorithm
- A* Algorithm
- Maximum Flow
-
Graphs in Action: PageRank
- Implementation
- Take-Aways
-
8 Strings
- Basic String-Related Optimizations
- Strings in the Editor
-
Substring Search
- Knuth-Morris-Pratt (KMP)
- Boyer-Moore (BM)
- Rabin-Karp (RK)
- Aho-Corasick (AC)
-
Regular Expressions
- Implementation of the Thompson’s Construction
- Grammars
- String Search in Action: Plagiarism Detection
- Take-aways
-
5 Hash-Tables
-
Selected Algorithms
-
9 Dynamic Programming
- Fibonacci Numbers
- String Segmentation
- Text Justification
- Pathfinding Revisited
- LCS and Diff
- DP in Action: Backprop
- Take-aways
-
10 Approximation
- Combinatorial Optimization
- Local Search
- Evolutionary Algorithms
- Branch & Bound
-
Gradient Descent
- Improving GD
- Sampling
-
Matrix Factorization
- Singular Value Decomposition
-
Fourier Transform
- Fourier Transform in Action: JPEG
- Take-Aways
-
11 Compression
- Encoding
- Base64
- Lossless Compression
-
Huffman Coding
- Huffman Coding in Action: Dictionary Optimization
- Arithmetic Coding
- DEFLATE
- Take-Aways
-
12 Synchronization
- Synchronization Troubles
- Low-Level Synchronization
- Mutual Exclusion Algorithms
-
High-Level Synchronization
- Lock-Free Data Structures
- Data-Parallelism and Message Passing
- STM
-
Distributed Computations
- Distributed Algorithms
- Distributed Data Structures
- Distributed Algorithms in Action: Collaborative Editing
- Persistent Data Structures
- Take-Aways
-
Afterword
- Acknowledgments
-
9 Dynamic Programming
- Notes
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