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1.Explain the Candidate-Elimination algorithm with a suitable example. Describe how the version space is maintained.
The Candidate-Elimination Algorithm is a concept learning method in Machine Learning that identifies all hypotheses consistent with the training data. Instead of finding just one hypothesis, it maintains a version space—the set of all hypotheses that correctly classify the observed examples.
Concept of Version Space:
The version space lies between two boundaries:
S (Specific boundary)
Read MoreFinite Element Method: Principles, Applications and Accuracy
Concept of FEM and Procedure
The Finite Element Method (FEM) is a numerical technique used to solve complex engineering problems by dividing a large system into smaller, simpler parts called finite elements.
Instead of solving the whole structure at once, FEM solves each small element and combines the results to get an approximate solution.
Procedure of FEM
- Discretization (Meshing): Divide the entire domain into small elements.
- Selection of Element Type: Choose suitable elements (1D, 2D, 3D).
- Derivation
Soft Computing Fundamentals: Neural Networks, Fuzzy Logic, and Optimization Techniques
Fundamentals of Soft Computing and Optimization
Definition of Multivariate Functions
A multivariate function is a function that has two or more independent variables. It assigns a single output value to each ordered set of input values.
Challenges in Non-Linear Optimization
- Multiple Local Optima: Non-linear functions can have many local minima and maxima, making it difficult to find the global optimum.
- Complex Behavior: The function may be curved, irregular, or non-convex, which makes analytical solutions
Rough Sets, Pareto Optimality, and Swarm Algorithms Explained
24(a) Meaning of Indiscernibility
Two objects are indiscernible if they have same values for a chosen set of attributes.
Forms equivalence classes (granules).
Basis for lower/upper approximations in Rough Sets.
24(b) Reduct & Core
Reduct
Minimum subset of attributes giving same classification power as full set.
Removing any attribute → information loss.
Core
Intersection of all reducts
Contains attributes must for classification.
Example (Medical dataset)
Attributes: Headache, Muscle Pain, Temperature
Key Moments in Black History: Timeline & Facts
Songs of Enslaved People
What were the songs slaves sang called?
Spirituals, also known as Negro spirituals or slave songs.
Civil Rights Organizations
What is the name of the US’s oldest civil rights organization?
The National Association for the Advancement of Colored People (NAACP).
Key Figures
Who was nicknamed “the Moses of her people”?
Harriet Tubman.
Modern Movements
What is the name of the young black man whose death inspired the Black Lives Matter movement?
Trayvon Martin.
Civil Rights Protests
When
Read MoreAfrican American History: From Slavery to Civil Rights
Important Figures in African American History
- Martin Luther King, Jr.: Baptist minister and leader of the Civil Rights Movement in the 1950s until his assassination.
- Rosa Parks: Civil rights activist.
- Frederick Douglass: Writer and abolitionist.
- Ida B. Wells: Journalist and civil rights activist.
- Booker T. Washington: Writer, educator, philanthropist, and activist.
- Sojourner Truth: Abolitionist and women’s rights activist.
Slave Songs and the Underground Railroad
“Wade in the Water” (Negro Spiritual): This
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