Computational Methods

What is the primary purpose of backtracking in computational methods?

• To find a solution by analyzing large data sets

• To incrementally find a solution by trying different sequences

• To decompose problems into smaller sub-problems

• To simulate the behavior of a model under different loads

Answer explanation

Backtracking is a method used to incrementally find a solution by exploring different sequences of choices. It systematically searches for a solution by trying and eliminating options, making it effective for problems like puzzles and combinatorial tasks.

Which computational method involves analyzing large data sets to uncover trends and relationships?

• Heuristics

• Data Mining

• Pipelining

• Problem Recognition

Answer explanation

Data Mining is the computational method that focuses on analyzing large data sets to identify patterns, trends, and relationships, making it the correct choice for this question.

What does the divide and conquer technique primarily involve?

• Using visual representation to translate a problem

• Decomposing and solving problems by reducing problem size

• Recognizing the most effective strategy to solve a problem

• Simulating the behavior of a model under different loads

Answer explanation

The divide and conquer technique primarily involves breaking down a problem into smaller, more manageable parts, solving each part, and then combining the solutions. This aligns with the correct choice of decomposing and solving problems by reducing problem size.

Which method is described as a 'rule of thumb' algorithm that provides a sub-optimal solution?

• Backtracking

• Heuristics

• Pipelining

• Performance Modelling

Answer explanation

Heuristics are 'rule of thumb' algorithms that aim for quick, practical solutions rather than optimal ones. They are often used in complex problems where finding the perfect solution is impractical.

What is the main focus of performance modelling in computational methods?

• To find solutions by analyzing data sets

• To simulate the behavior of a model under different loads

• To decompose problems into smaller sub-problems

• To recognize the most effective strategy to solve a problem

Answer explanation

The main focus of performance modelling is to simulate how a model behaves under various loads, allowing for analysis of its performance and efficiency in different scenarios.

What is the purpose of pipelining in computational methods?

• To use visual representation to translate a problem

• To incrementally find a solution by trying different sequences

• To use the output from one process as input to another

• To decompose problems into smaller sub-problems

Answer explanation

Pipelining allows for the output of one process to be used as the input for another, enabling efficient processing and reducing idle time between operations. This is essential for optimizing computational methods.

What does problem decomposition involve?

• Recognizing the most effective strategy to solve a problem

• Splitting a problem into smaller, solvable sub-problems

• Simulating the behavior of a model under different loads

• Analyzing large data sets to uncover trends

Answer explanation

Problem decomposition involves splitting a complex problem into smaller, manageable sub-problems, making it easier to solve each part individually. This approach enhances clarity and efficiency in problem-solving.

What is the key ability in problem recognition?

• To simulate the behavior of a model

• To recognize the most effective strategy to solve a problem

• To use visual representation to translate a problem

• To incrementally find a solution by trying different sequences

Answer explanation

The key ability in problem recognition is to identify the most effective strategy to solve a problem. This involves understanding the problem context and determining the best approach to address it.

What is the role of visualization in computational methods?

• To find solutions by analyzing data sets

• To use visual representation to translate a problem

• To decompose problems into smaller sub-problems

• To simulate the behavior of a model under different loads

Answer explanation

Visualization plays a crucial role in translating complex problems into understandable visual formats, making it easier to analyze and communicate data insights effectively.

What is a computable problem?

• A problem that can be solved by analyzing large data sets

• A problem for which every instance can be solved in finite steps

• A problem that requires visual representation for translation

• A problem that involves simulating model behavior

Answer explanation

A computable problem is defined as one where every instance can be solved in finite steps, meaning there is a clear algorithmic process to reach a solution. This distinguishes it from problems that may be unsolvable or require infinite steps.