Bounded-and-Unbounded

In computer science, particularly in optimization problems, the concepts of bounded and unbounded refer to the constraints placed on variables within algorithms. A bounded problem has specific limits on the values that variables can take, ensuring that solutions remain within defined parameters. This is often seen in scenarios like the 0/1 Knapsack problem, where items can either be included or excluded. Conversely, unbounded problems allow for unlimited instances of variables, as seen in the unbounded knapsack problem, where items can be selected multiple times. Understanding these distinctions is crucial for effectively applying optimization techniques in various computational contexts.

Unbounded Knapsack — Pattern

 Python in Plain English

Unbounded Knapsack — Pattern Discrete & repeated selection of item Photo by Mitchell Luo on Unsplash Unlike the 0/1 Knapsack problem, in an unbounded Knapsack, we are allowed to use an unlimited numb...

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Branch and Bound — Bonus Article — Visualizing the Nodes

 Towards AI

For those coming in from my last two articles, this is the article where we provide some bonus codes to visualize our branch and bound algorithm in action. The articles in this series are as follows: ...

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Branch and Bound — Coding the Algorithm From Scratch

 Towards AI

If you are coming from the introductory article: Branch and Bound — Introduction Prior to Coding the Algorithm From Scratch , then this is the part where we progress in our understanding of the algori...

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Strengthen bounded type parameters

 Essential Java

Bounded type parameters allow you to set restrictions on generic type arguments: class SomeClass { } class Demo<T extends SomeClass { } But a type parameter can only bind to a single class type. An in...

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Finding Optimal Solutions with Branch and Bound

 Towards Data Science

Member-only story Finding Optimal Solutions with Branch and Bound A powerful algorithm for solving discrete optimization problems Hennie de Harder · Follow Published in Towards Data Science · 8 min re...

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Branch and Bound — Introduction Prior to Coding the Algorithm From Scratch

 Towards AI

Integer programming (IP) is a special case of linear programming (LP) where the decision variables are restricted to integer values. That is, values such as 2.5 or 4.2 are not possible solutions to th...

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A Gentle Introduction to Branch & Bound

 Towards Data Science

The most fundamental integer and mixed-integer programming algorithm explained with Python Photo by Viktor Talashuk on Unsplash Numerical optimization problems are a fundamental tool in quantitative ...

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Creating a Bounded Generic Class

 Essential Java

You can restrict the valid types used in a generic class by bounding that type in the class definition. Given the following simple type hierarchy: public abstract class Animal { public abstract String...

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The Cramér–Rao Bound

 Towards Data Science

Member-only story The Cramér–Rao Bound You can’t always get what you want Sachin Date · Follow Published in Towards Data Science · 17 min read · 1 hour ago -- Share Sometimes, we don’t get what we wan...

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Requiring multiple upper bounds extends A B

 Essential Java

You can require a generic type to extend multiple upper bounds. Example: we want to sort a list of numbers but Number doesn’t implement Comparable . public <T extends Number & Comparable<T void sortNu...

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When IO-bound Hides Inside CPU

 Better Programming

Many of us, tend to think about IO-bounded vs CPU-bounded applications pretty intuitively — judging whether it is a CPU workload or a network/file IO operations that dominate. In this story, I will…

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What’s the Difference Between an Aggregate and a Bounded Context

 Level Up Coding

Domain Driven Design — or DDD — is a software design methodology popularized by Eric Evans. DDD focuses on domains; that is, subject areas within an organization, coupled with the experts of those…

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