[數] 計算複雜性
The result has important significance to research and development in both number theory and computational complexity theory.
這個結果對于數論和計算複雜性理論的研究與發展具有重要意義。
In low bits-rate Vedio coding, all-zero block determination is a common technique to reduce the computational complexity of the encoder.
在低比特率視頻壓縮編碼中，全零塊的檢測是一種常用的技術，用來減少編碼器的計算複雜性。
An ETG circuit is one for which a complete test set ( covering all modeled faults ) can be generated with linear computational complexity in the circuit size.
ETG電路是這樣一種電路，産生它的完全測試集的計算複雜性與電路大小成線性關系。
Computational complexity of complex system multiple fault diagnosis is a puzzle at all times.
複雜系統多故障診斷的計算複雜性一直是一個難題。
In addition, strategies of motion track and adaptive search window are applied to reduce the computational complexity of motion estimation.
此外本文還采用運動跟蹤和自適應搜索窗技術來減小運動估值的計算複雜性。
This includes computability theory, computational complexity theory, and information theory.
這包括可計算性理論，計算複雜性理論，信息理論。
Calculations of computational complexity seem to be one of the harder subjects for students; there's no doubt of their value, though, when they lead to such speedups.
對于學生來說，計算“計算複雜度”似乎是較難的課題之一；但是當這些方法産生這樣的加速時，它們的價值無庸置疑。
Distributed optimization algorithm is an efficient control strategy to reduce the on line computational complexity of model predictive control for large scale systems.
分布式求解策略是為了降低大規模預測控制系統線上實施的計算量和計算複雜性而提出的一種有效算法。
In the low rate video encoding process, predetermination of all-zero blocks which can be applied to reduce the computational complexity is a common method to optimize the software coder.
在低比特率視頻編碼時，全零塊的預先判斷，能夠有效地減少編碼器的計算複雜性，是優化編碼器常用的技術之一。
To reduce the computational complexity, a numerical approach is proposed for a class of mixed uncertain systems whose coefficients affinely dependent on system parameters.
為了減小計算複雜性，對一類線性部分仿射取決于變化參數的混合不确定系統，探讨了其數值求解方法。
In recognition of his contributions to the foundations of computational complexity theory and its application to cryptography and program checking.
因在計算複雜性理論、應用密碼學和程式測試方面的貢獻而獲獎。
This article discusses the computational complexity of Traveling Salesman Problem, and points out the difference of computational complexity between Decisive TSP and Optimal TSP.
讨論了貨郎問題的計算複雜性，指出了貨郎優化問題與貨郎判定問題計算複雜性的差異。
The method can learn smaller trees with lower computational complexity, but its generalization ability is not better.
用該方法生成的決策樹規模小且計算複雜度低，但是泛化能力不佳。
Simultaneously, this model performance was evaluated from the perspective of consistence and computational complexity.
同時，從一緻性和計算複雜度方面對模型性能進行了評價。
For curricula automata subject a more advanced graduate course, computability theory and computational complexity theory are also covered.
高級課程中還包括了可計算包括理論模型理論和計算複雜性理論。
A method, expansion matrix, is presented to check the connectivity of branches and capacity constraints during reconfiguration, which reduces the computational complexity significantly.
提出了以擴展矩陣法對重構時支路的連通性及容量約束進行檢驗，極大地減小了計算複雜度。
The dissertation is focused on the research of reducing the computational complexity of large adaptive filters and their applications in echo cancellation.
本論文主要研究了如何降低高階自適應濾波器算法的計算複雜度及其在回波消除器中的應用。
There are disadvantages of traditional vector space model in computational complexity, query efficiency and intelligence.
傳統向量空間模型在計算複雜度、查詢性能、智能性方面存在種種缺陷。
Computational learning theory provides formal framework for comparing the performance of two algorithms, and can determine the sample complexity and the computational complexity of some concept class.
計算學習理論為比較兩算法的性能提供了形式化的框架，并能确定某概念類的計算複雜度和樣本複雜度。
The over-complete dictionary of atoms is very important to the signal sparse decomposition results, and it is also the main reason for the high computational complexity in sparse decomposition.
信號稀疏分解中使用的過完備原子庫對分解效果十分重要，但同時它也是造成稀疏分解計算非常複雜的關鍵因素。
Delay and computational complexity are two problems to be solved when Maximum Likelihood Sequence Estimation(MLSE)is used in wireless communication system.
無線通信中應用最大似然序列估計，其時延和計算複雜度是必須解決的兩個問題。
The ILS algorithm had the strength of accurate estimation of FPN, fast convergence rate and low computational complexity.
ILS算法具有噪音參量估計準确度高、收斂速度快和計算複雜度低等優點。
In this thesis, we first choose some typical adaptive allocation algorithms of single-user or multiple-user system, and analyze their computational complexity.
本文首先選取了單用戶系統和多用戶系統中一些經典的算法進行研究，分析了它們的計算複雜度。
Simulation results show that the proposed PSA is efficient to reduce the search range, search times, and computational complexity.
仿真表明這種算法減少了搜索範圍和搜索次數，提高了搜索效率，降低了運動估計的計算複雜性。
This approach, however, results in high computational complexity.
不過，這種方法将會造成高計算複雜度。
計算複雜性（Computational Complexity）是計算機科學的核心理論分支，主要研究解決特定計算問題所需資源的定量分析。其核心目标包括：
實際應用中，該理論直接影響密碼學設計（如RSA算法依賴大數分解的NP難度）和硬件優化（如芯片設計中的電路複雜度分析）。斯坦福大學計算機科學系課程指出，複雜度分析為算法選擇提供了嚴格的理論框架，例如快速傅裡葉變換$O(n log n)$相較于樸素算法的$O(n)$優勢。
該領域奠基性著作《Computational Complexity: A Modern Approach》強調，複雜度理論不僅揭示計算本質，還為人工智能、量子計算等前沿領域提供評估基準。
"Computputational complexity"（計算複雜性）是計算機科學和數學中衡量算法或問題求解效率的核心概念，主要關注計算所需資源（如時間和空間）隨輸入規模增長的變化趨勢。以下是詳細解釋：
基本定義 計算複雜性研究算法在不同輸入規模下所需的計算資源量級，通常用漸近符號（如大O符號）表示。例如，時間複雜度為O(n²)的算法，其運行時間隨輸入規模n的平方增長。
核心分類
常見複雜度類别 | 複雜度類别 | 示例算法 | 典型增長速率 | |-----------|----------|-------------| | O(1)| 數組索引 | 常數時間| | O(log n)| 二分查找 | 對數時間| | O(n)| 線性遍曆 | 線性時間| | O(n log n)| 快速排序 | 線性對數時間| | O(n²) | 冒泡排序 | 平方時間| | O(2ⁿ) | 窮舉搜索 | 指數時間|
理論意義
理解計算複雜性有助于區分可高效解決的問題與需要近似算法的問題，例如當輸入規模較大時，指數複雜度算法（O(2ⁿ)）會變得完全不實用，而多項式複雜度算法（如O(n³)）可能仍然可行。這一理論框架為計算機科學的算法設計和問題分類提供了數學基礎。
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