tailieunhanh - Analysis of Algorithm

Analysis of Algorithm we only analyze correct algorithms, Incorrect algorithms (Might not halt at all on some input instances, Might halt with other than the desired answer), Analyzing an algorithm (Predicting the resources that the algorithm requires, Resources include). | Nguyen Viet Anh - CS3329 Spring 2011 Algorithm Analysis We only analyze correct algorithms An algorithm is correct If, for every input instance, it halts with the correct output Incorrect algorithms Might not halt at all on some input instances Might halt with other than the desired answer Analyzing an algorithm Predicting the resources that the algorithm requires Resources include Memory Communication bandwidth Computational time (usually most important) Nguyen Viet Anh - CS3329 Spring 2011 Algorithm Analysis Factors affecting the running time computer compiler algorithm used input to the algorithm The content of the input affects the running time typically, the input size (number of items in the input) is the main consideration . sorting problem the number of items to be sorted . multiply two matrices together the total number of elements in the two matrices Machine model assumed Instructions are executed one after another, with no concurrent operations Not parallel computers Nguyen Viet Anh - CS3329 Spring 2011 Example Calculate N i3 i 1 1 1 2 2N+2 3 4N 4 1 Lines 1 and 4 count for one unit each Line 3: executed N times, each time four units Line 2: (1 for initialization, N+1 for all the tests, N for all the increments) total 2N + 2 total cost: 6N + 4 O(N) Nguyen Viet Anh - CS3329 Spring 2011 Worst- / average- / best-case Worst-case running time of an algorithm The longest running time for any input of size n An upper bound on the running time for any input guarantee that the algorithm will never take longer Example: Sort a set of numbers in increasing order; and the data is in decreasing order The worst case can occur fairly often . in searching a database for a particular piece of information Best-case running time sort a set of numbers in increasing order; and the data is already in increasing order Average-case running .

• Cơ sở dữ liệu
• Analysis of Algorithm
• Incorrect algorithms
• Analyzing an algorithm
• nalyzing an algorithm
• The correct output
• Communication bandwidth
• Computational time
• Information and communication technology
• Real time computational fluid dynamics flow response visualisation
• Interaction application based on augmented reality
• Computational fluid dynamics
• Two dimensional flow stream domain
• Computational complexity
• Computational complexity theory
• Basic complexity classes
• The computational model
• Non deterministic Turing machines
• The Cook Levin Theorem
• Time Hierarchy Theorem
• Wind turbine
• String dynamics
• Space time VMS method
• ALE VMS method
• Isogeometric analysis
• Advanced Algorithms Analysis and Design
• Lecture Advanced Algorithms Analysis and Design
• Bài giảng Phân tích và thiết kế thuật toán nâng cao
• Time complexity of algorithms
• Asymptotic notations
• EvolutionaryModels
• PairwiseAlignmen
• HiddenMarkovModels
• TriesandSuxTrees
• Bounding Traversal Time
• MergingHeight BalancedTrees
• Signal processing
• Lecture Signal processing
• Xử lý tín hiệu
• Discrete fourier transform
• Computational fourier
• Time fourier transform
• Computational experiment
• Linear programming
• Fully polynomial time
• Approximation scheme
• Greedy heuristic
• Software defined satellite network
• Scene text recognition
• Optical character recognition
• Convolutional neural networks
• Deeper network outperforms
• BMC Bioinformatics
• Label free time lapse video microscopy
• Automated plate design
• Higher order drug combination analysis
• Matched filter
• Journal of Chemistry
• UV visible absorption spectroscopy
• Substituent effect
• Solvent effect
• Density functional theory (DFT)
• Time dependent density functional theory
• Algorithm design
• Lecture Algorithm design
• Algorithm analysis
• Computational tractability
• Asymptotic order of growth
• Polynomial running time
• BMC Genomics
• Next generation sequencing
• DNA alignment
• Read density distribution
• BMC Cancer
• Liver cancer
• Diagnostic biomarker
• Prognostic biomarker
• TCGA databases