How Memoization technique is used in Dynamic Programming?
Dynamic programming helps to efficiently solve problems that have overlapping subproblems and optimal substructure properties. The idea behind dynamic programming is to break the problem into smaller sub-problems and save the result for future use, thus eliminating the need to compute the result repeatedly.
There are two approaches to formulate a dynamic programming solution:
- Top-Down Approach: This approach follows the memoization technique. It consists of recursion and caching. In computation, recursion represents the process of calling functions repeatedly, whereas cache refers to the process of storing intermediate results.
- Bottom-Up Approach: This approach uses the tabulation technique to implement the dynamic programming solution. It addresses the same problems as before, but without recursion. In this approach, iteration replaces recursion. Hence, there is no stack overflow error or overhead of recursive procedures.
What is memoization? A Complete tutorial
The term “Memoization” comes from the Latin word “memorandum” (to remember), which is commonly shortened to “memo” in American English, and which means “to transform the results of a function into something to remember.”.
In computing, memoization is used to speed up computer programs by eliminating the repetitive computation of results, and by avoiding repeated calls to functions that process the same input.
Table of Contents
- What is Memoization?
- Why is Memoization used>
- Where to use Memoization?
- Types of Memoization
- How Memoization Technique used in Dynamic Programming?
- Top Down Approach
- Bottom Up Approach
- How Memoization is different from Tabulation?
- Coding Practice Problems for Memoization
- FAQs
- 1) Is memoization better than DP?
- 2) Is memoization the same as caching?
- 3) Why memoization is top down?
- 4) Does memoization use recursion?
- 5) Should I use tabulation or memoization?
- 6) Where is memoization used?
- 7) Why is it called memoization?
- 8) How does memoization reduce time complexity?
- 9) What is difference between memoization and caching?
- 10) Why tabulation is faster than memoization?
- Conclusion
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