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Bounded-and-Unbounded
In computer science, particularly in optimization problems, the concepts of bounded and unbounded refer to the constraints placed on variables or resources. A bounded problem has specific limits, meaning that the values of variables are restricted within a defined range. For instance, in the bounded knapsack problem, each item can only be included once. Conversely, an unbounded problem allows for unlimited instances of variables, such as in the unbounded knapsack problem, where items can be selected multiple times. Understanding these distinctions is crucial for selecting appropriate algorithms and strategies for solving various optimization challenges.
Unbounded Knapsack — Pattern
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
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
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
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
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
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
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
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
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
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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What’s the Difference Between an Aggregate and a Bounded Context
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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Unit Disk and 2D Bounded KDE
How to extend Bounded Kernel Density Estimation to the 2D case? Let’s explore how to fix boundary bias around the unit disk. Photo by Leo_Visions on Unsplash 0\. Introduction MonteCarlo Integration N...
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