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计算数学(mathematics of computing) (概率与统计(probability and statistics)…
计算数学(mathematics of computing)
离散数学(discrete mathemantics)
组合论(combinatorics)
组合问题(combinatoric problems)
排列与组合(premutations and combinations)
组合算法(combinatorial algorithms)
生成函数(generating functions)
组合优化(combinatorial optimization)
单词组合(combinatorics on words)
枚举(enumberation)
图论(graph theory)
超图(hypergraphs)
随机图(random graphs)
树(trees)
图着色(graph coloring)
路径与连接性问题(paths and connectivity problems)
图枚举(graph enumeration)
匹配与因子(matchings and factors)
图与表面(graphs and surfaces)
网络流(network flows)
图谱(spectra of graphs)
极值图论(extremal graph theory)
拟阵与广义拟阵(matroids and geedoids)
图算法(graph algorithms)
近似算法(approximation algorithms)
数学软件(mathematical software)
求解器(solvers)
统计软件(statistics software)
数学软件性能(mathematical software performance)
概率与统计(probability and statistics)
概率表示(probabilistic representations)
贝叶斯网络(bayesian networks)
马尔可夫网络(markov networks)
因子图(factor graphs)
决策图(decision diagrams)
方程模型(equational models)
因果网络(causal networks)
随机微分方程(stochastic differential equations)
非参数表示(nonparametric representations)
核密度估计器(kernal density estimators)
样条模型(spline models)
贝叶斯非参数模型(bayesian nonparametric models)
概率推断问题(probabilistic inference problems)
最大似然估计(maximun likelihood estimation)
贝叶斯计算(bayesian computation)
最可能解释的计算(computing most probable explanation)
假设检验与置信区间计算(hypothesis testing and confidence interval computation)
密度估计(density estimation)
分位数回归(quantile regression)
最大边际计算(max marginal computation)
概率推理算法(probablistic reasoning algorithms)
变量消除(variable elimination)
环路信念传播(loopy belif propagation)
变体方法(variational methods)
期望最大化(expectation maximization)
马尔科夫链蒙特卡洛方法(markov-chain monte carlo methods)
吉布斯采样(gibbs sampling)
metropolis-hastings算法(metropoli-hastings algorithms)
模拟退火(simulated annealing)
马尔科夫链蒙特卡罗收敛测量(markov-chain monte carlo covergence measures)
顺序蒙特卡罗方法(sequential monte carlo methods)
卡尔曼滤波器和隐马尔可夫模型(kalman filters and hidden markov models)
重采样法(resampling methods)
自助(bootstrapping)
刀切法(jackknifing)
随机数生成(random number generation)
概率算法(probablistic algorithms)
统计范式(statistical paradigms)
排队理论(queueing theory)
列联表分析(contingency table analysis)
回归分析(regression analysis)
稳定回归(rubust regression)
时间序列分析(time series analysis)
生存分析(survival analysis)
更新理论(renewal theory)
降维(dimensionality reduction)
聚类分析(cluster analysis)
统计图形(statistics graphics)
探索性数据分析(exploratory data analysis)
随机过程(stochastic processes)
马尔可夫过程(markov processes)
非参数统计(nonparametric statistics)
分布函数(distribution functions)
多变量统计(multivariate statistics)
连续数学(Continuous mathematics)
拓扑学(topology)
点集拓扑(point-set topology)
代数拓扑(algebraic topology)
几何拓扑(gemetric topology)
连续函数(continuous functions)
微积分(calculus)
lambda 演算(lambda calculus)
微积演算(differential calculus)
积分演算(integral calculus)
信息论(information theory)
编码论(coding theory)
数学分析(mathematical analysis)
数值分析(numerical analysis)
转换计算(computations of transforms)
有限域计算(computations in finite fields)
矩阵计算(computations on matrices)
多项式计算(computations on polynomials)
Gröbner 基与其他基(Gröbner bases and other special bases)
数论计算(number-theoretic computations)
插值法(interpolation)
数值微分(numerical differentiation)
区间计算(interval arithemtic)
任意精度计算(arbitrary-precision arithmetic)
自动微分(automatic differentiation)
网格生成(mesh generation)
离散化(discretization)
数学优化(mathematical optimization)
离散优化(discrete optimization)
网络优化(network optimization)
随机搜索启发式优化(optimization with random search heuristics)
模拟退火(simulated annealing)
进化算法(evolutionary algorithms)
禁忌搜索(tabu search)
随机化本地搜索(randomized local search)
连续优化(continuous optimization)
半定优化(semidefinite programming)
凸优化(convex optimization)
线性规划(linear programming)
拟凸编程和单峰(quasiconvex programming and unimodality)
二次规划(quadratic programming)
非凸优化(nonconvex optimization)
生物启发的优化(bio-inspired optimization)
随机控制与优化(stochastic control and optimization)
混合离散连续优化(mixed discrete-continuous optimization)
整数规划(integer programming)
生物启发的优化(bio-inspired optimization)
子模块优化和多拟阵(submodular optimization and polymatroids)
非参数优化(non-parametric optimization)
基因编程(genetic programming)
发展表示(developmental representations)
微分方程(differential equations)
偏微分方程(partial differential equations)
微分代数方程(differential algebraic equations)
常微分方程(ordinary differential equations)
微分变分不等式(differential variational inequalities)
微积分(calculus)
lambda 演算(lambda calculus)
微积演算(differential calculus)
积分演算(integral calculus)
泛函分析(functional analysis)
近似(approximation)
积分方程(integral equations)
非线性方程(non-linear equations)
正交(quadrature)