没有合适的资源？快使用搜索试试~ 我知道了~

首页算法分析与设计详解：核心技术与实践应用

算法分析与设计详解：核心技术与实践应用

Algorithms

需积分: 9 9 下载量 166 浏览量更新于2024-07-17 收藏 28.8MB PDF 举报

身份认证购VIP最低享 7 折!

领优惠券(最高得80元）

试读

146页

"《算法分析与设计》是一本由Amrinder Arora撰写的专著，适合大学本科和研究生级别的入门算法课程。该书的第二版于2014年12月30日出版，共146页，深入浅出地探讨了算法的基础概念、实际应用以及关键理论工具，如渐进表示法和数据结构。书中首先定义并解释了算法的实质，强调它们在解决实际问题中的核心作用。作者通过清晰的阐述，介绍了诸如分治法、贪心算法、动态规划、分支定界法和图遍历等基础设计技巧。每种方法都提供了实用模板和使用指南，帮助读者理解何时选择或避免使用这些技术。对于NP完全性问题和问题固有的难度，书籍也进行了深入讨论，让读者认识到解决问题的挑战性和复杂性。作者还巧妙地运用创新的记忆法，如助记符，来帮助学生记忆算法模板和关键要点，这使得学习过程更具系统性和有效性。《算法分析与设计》是由学生和专业人士共同参与编写的，特别适合在线教育环境，其结构化的组织使得理解和消化内容更加便捷。版权方面，该书受到严格保护，未经Cognella, Inc.的书面许可，任何形式的复制、传播或利用均需得到授权。封面图片的改编源于Depositphotos的版权作品。《算法分析与设计》是一本实用的教材，不仅提供理论知识，还注重实践应用，旨在帮助读者掌握算法设计的基本策略，以便在解决复杂问题时做出明智的选择。无论是学生还是专业人员，都能从中获益匪浅，提升算法设计的技能和理解。"

资源详情

资源推荐

SECTION 1

THE

BASICS

he coming 3

chapters

coverthe

basics.

discuss

what

algorithm,

study

and

review

the

asymptotic

notation

and

data

structures

that

are

used repetitively

the

rest

the

book. Many

the

readers

may

be well versed with

these

foundation

elements.

Forthis

reasons,

these

chapters

are

very

brief.

highly

recommended

that

you read

these

chapters

regardless.

You

may

surprised by

some

concepts

mentioned

therein.

You

can also refer

other

books

and

background

materials, such as

[~]

[2]

[3]

[4]

[5]

[6]

[7]

[8] [9]

and

[~o],

etc.

INTRODUCTION AND

BARE

ESSENTIALS

CHAPTER

1.1 WHAT

ALGORITHM?

A n algorithm

generally defined

one

oftwo

following ways:

• A

precise

statement

solve a

problem

computer

• A

sequence

definite

instructions

certain

job

Wikipedia says: "(In

mathematics,

computing,

and

sub-

jects)

algorithm

effective

method

for solving a

problem

using a finite

sequence

instructions."

Algorithms

have

existed

for

a long

time,

with Euclid's

algorithm

for finding

the

greatest

common

divisor having

been

described

back

around

300

Incidentally, it

still

known

a fairly effective

algorithm,

and

standard

first

programming

assignment.

The

algorithm

can

described

English,

without

using

any

mathemati-

cal

notation

follows. You

are

given

two

numbers,

and

you

need

find

the

greatest

common

divisor

these

two

numbers.

For

example,

given

and

20,

the

greatest

common

divisor

and

given

and

48,

the

greatest

common

divisor

The

algorithm

goes

follows: divide

the

larger

number

with

the

smaller

number,

and

obtain

the

remainder.

the

remainder

zero,

then

the

smaller

4 I ANALYSIS

AND

DESIGN OF ALGORITHMS

number

the

greatest

common

divisor.

Otherwise,

consider

the

remainder

your

new

"smaller"

number,

the

smaller

number

your

new

larger

number,

and

backtothe

divide

step.

[The unsaid

part

that

this

will

always

terminate

and

that

eventually

will find

that

the

remainder

zero.]

Describing

even

simple

algorithm

English

can

tricky

and

prone

errors

boundary

conditions.

Therefore,

going

forward

will

using a

standard

mathematical

notation

describe

algorithms.

Let us

use

insertion

sort

our

example.

The

goal

ofthis

algorithm

sort

the

given list

numbers

the

increasing order. For

example,

given a list

[5,8,2,101,

the

algorithm

should

produce

the

sorted

list

[2,5,8,

10}.

Insertion

sort

works

growing

sorted

list,

and

inserting

new

number

the

list

every

iteration

(hence

the

name

insertion

sort).

Consider

the

fol-

lowing

pseudo-code

for

describing

insertion

sort.

Given

array

n numbers

Sorts

the

array

for

j = 2

n {

}

key

= A

[j]

i = j - 1

A[j]

added

the

sorted

sequence

A[l..

j-1]

while

«i

and

(A[i]

> key» {

A[i

+ 1] =

A[i]

i =

i-I

}

A[i]

key

From

this

pseudo-code,

can

attempt

estimate

the

best

case

running

time,

the

worst

case

running

time

and

the

average

case

running

time.

observe

that

the

for

loop runs

n-l

times,

but

the

while

loop

can

run a vari-

able

number

times

based

the

actual

values

the

array.

the

worst

case

scenario,

may

run i

times,

and

the

best

case,

may

run 0

times.

For

our

third

example,

let us

turn

the

searching

problem.

are

given a

sorted

list

numbers,

and

are

asked

find

certain

number

exists

the

list

not.

The

commonly

known

Binary

algorithm

compares

the

middle

element

ofthe

array

with

the

given

number,

and

depending

upon

the

result,

focuses

either

the

left ha

the

rig

the

array.

INTRODUCTION

AND

BARE

ESSENTIALS I 5

Given

sorted

array

Finds

given

"value"

exists

not

BinarySearch(A[0

N-l],

value,

low,

high)

{

}

(hi

low)

return

-1

I I

not

found

mid =

(low

high)

I 2

(A[mid]

value)

return

BinarySearch(A,

value,

low,

mid-I)

else

(A[mid]

value)

return

BinarySearch(A,

value,

mid+l,

high)

else

return

mid I I

found

1.2 PRACTICAL APPLICATIONS

ALGORITHMS

Practical

applications

algorithms

are

found

quite

abundantly

and

can

very diverse. Here

are

some

practical

applications:

• Find

relevant

web

pages

for a given

term

• Analyze

thousands

casual

pictures

taken

hundreds

different

cameras

track

individual

•

Given millions

knew

time

til

statements

and

millions

stock

transactions,

detect

insider-trading

• Given a

grocery

list

and

the

layout

store,

find

the

quickest

way

collect

all

items

• Given

gas

prices

a city

and

the

places

that

you

need

go, find a

path

that

minimizes

your

cost

• Given a

person's

song

history

and

a large

song

database,

find a

song

that

they

may

hearing

next.

• Given

many

recipes

and

ingredients,

find

the

maximum

number

dishes

you

can

make

• Given a

candidate's

answers

questions,

find

the

questions

that

maximize

your

confidence

assessing

their

level

•

Given

thousands

image

les,

separate

the

ones

ken

nig

from

the

ones

taken

during

the

day

6 I ANALYSIS

AND

DESIGN OF ALGORITHMS

• Given a list

train

stations

and

map

tracks,

create

schedule

that

minimizes

the

sum

oftravel

time

across

all users.

1.3 WHAT

MEANT

"ANALYZING

ALGORITHM"?

Assuming

a given

algorithm

functionally

correct,

analyzing it typically

requires

answer

the

following

two

questions:

(i)

How long will

the

algorithm

take

run,

best

case,

worst

case

and

average

case?

(ii)

How

much

memory

will

it require,

best

case,

worst

case

and

aver-

age

case?

may

also

want

know

there

are

some

inputs

which

the

answer

varies

considerably,

and

what

the

average

case

values

would

the

input

limited

certain

range.

Depending

upon

the

type

algorithm,

analyzing

algorithm

may

have

many

other

meanings

well.

•

the

algorithm

approximation

algorithm,

analyzing

algorithm

requires

find

the

approximation

ratio.

•

the

algorithm

online

algorithm,

analysis involves

competitive

ratio.

•

the

algorithm

prediction

algorithm,

analysis involves

many

metrics

such

accuracy

and

precision.

1.4 WHY SHOULD

ANALYZE ALGORITHMS?

For a given

problem,

there

may

many

algorithms

that

solve

the

problem

correctly.

One

algorithm

may

complicated

than

other,

but

the

other

may

readable

and

eloquent.

Similarly,

one

algorithm

may

very

efficient

certain

inputs,

and

very inefficient

some

other

inputs.

Having a

mechanism

analyze

the

algorithm

terms

one

standard

nota-

tion

allows us

compare

many

different

algorithms.

Another

very practical

reason

analyze

algorithms

perform

a priori

estimation

performance.

Algorithms

are

packaged

form

software

pro-

grams

which run

wide

variety

devices

(computers,

mobile

phones,

tablets,

TVs, GPS receivers).

Those

software

programs

are

marketed

using a

剩余145页未读，继续阅读

Introduction to the Design and Analysis of Algorithms 3rd Edition.pdf

Algorithms: Design and Analysis

Harsh Bhasin, "Algorithms: Design and Analysis" English | ISBN: 0199456666 | 2015 | 692 pages Algorithms: Design and Analysis of is a textbook designed for the undergraduate and postgraduate students of computer science engineering, information technology, and computer applications. It helps the students to understand the fundamentals and applications of algorithms. The book has been divided into four sections: Algorithm Basics, Data Structures, Design Techniques and Advanced Topics. The first section explains the importance of algorithms, growth of functions, recursion and analysis of algorithms. The second section covers the data structures basics, trees, graphs, sorting in linear and quadratic time. Section three discusses the various design techniques namely, divide and conquer, greedy approach, dynamic approach, backtracking, branch and bound and randomized algorithms used for solving problems in separate chapters. The fourth section includes the advanced topics such as transform and conquer, decrease and conquer, number thoeretics, string matching, computational geometry, complexity classes, approximation algorithms, and parallel algorithms. Finally, the applications of algorithms in Machine Learning and Computational Biology areas are dealt with in the subsequent chapters. This section will be useful for those interested in advanced courses in algorithms. The book also has 10 appendixes which include topics like probability, matrix operations, Red-black tress, linear programming, DFT, scheduling, a reprise of sorting, searching and amortized analysis and problems based on writing algorithms. The concepts and algorithms in the book are explained with the help of examples which are solved using one or more methods for better understanding. The book includes variety of chapter-end pedagogical features such as point-wise summary, glossary, multiple choice questions with answers, review questions, application-based exercises to help readers test their understanding of the learnt concepts.

粉丝: 23
资源: 328

上传资源快速赚钱

我的内容管理展开

我的资源快来上传第一个资源

我的收益

登录查看自己的收益

我的积分登录查看自己的积分

我的C币登录后查看C币余额

我的收藏

我的下载

下载帮助

算法分析与设计详解：核心技术与实践应用

Introduction to the Design and Analysis of Algorithms 3rd Edition.pdf

Algorithms: Design and Analysis

Algorithms Design and Analysis

The Design and Analysis of Algorithms

introduction to the design and analysis of algorithms答案

What introductory textbooks and related academic journals does the field of logic synthesis of digital circuit has

matlab contains

如何利用matlab、

Infrared Simulation Library

matlab maker

考研互助系统设计外文翻译

算法设计与分析推荐的网课

具体的数字信号处理有哪些方法，或者说有哪些相关的论文可以参考应用至电机振动抑制算法中

Aurora et al.（2020）提出了一种基于机器学习的学生请假管理系统设计。该系统采用机器学习算法对学生请假信息进行分析和预测，帮助学校决策者制定更好的请假政策。该系统提高了请假管理的智能化和决策性

语言信息处理的外文文献

matrix gain

数据结构算术表达式课程设计的参考文献

算法书值得推荐的有哪些

按照时间顺序介绍算法书籍

spess用法100例

最新资源