【0】涉及到的各种符号
Notation List
∀ ∃ ⊆ 包含 ⊂(或⫋) 真包含 另外,还有相应的⊄,⊈,⊉等 ∪ 集合的并运算 U(P)表示P的领域 ∩ 集合的交运算 -或\ 集合的差运算 ⊕集合的对称差运算
符号 | 含义 |
---|---|
V (没搞懂怎么写) | a calligraphic symbol typically denotes a set of random variables |
dom(x) | Domain of a variable |
x=x (没搞懂怎么写) | The variable x is in the state x |
p(x = tr) | probability of event/variable x being in the state true |
p(x = fa) | probability of event/variable x being in the state false |
p(x, y) | probability of x and y |
p(x∩y) | probability of x and y |
p(x∪y) | probability of x or y |
p(x|y) | y的情况下,x发生的概率 |
X ∐ Y|Z | 在Z的条件下,X和Y独立 |
X ∏ Y|Z | 在Z的条件下,X和Y不独立 |
∫x(x) | continuous variables this is shorthand for ∫f(x)dx and for discrete variables means summation over the states of x, ∑xf(x) |
II[S] | Indicator : has value 1 if the statement S is true, 0 otherwise |
pa (x) | The parents of node x |
ch (x) | The children of node x |
ne (x) | Neighbours of node x |
dim (x) | For a discrete variable x, this denotes the number of states x can take |
⟨f (x)⟩p(x) | The average of the function f(x) with respect to the distribution p(x) |
δ(a, b) | Delta function. For discrete a, b, this is the Kronecker delta, δa,b and for continuous a, b the Dirac delta function δ(a − b) |
dim x | The dimension of the vector/matrix x |
♯ (x = s, y = t) | The number of times x is in state s and y in state t simultaneously |
♯xy | The number of times variable x is in state y |
D | Dataset |
n | Data index |
N | Number of dataset training points |
S | Sample Covariance matrix |
σ(x) | The logistic sigmoid 1/(1 + exp(−x)) |
erf(x) | The (Gaussian) error function |
xa:b | xa,xa+1,…,xb …………………………….. |
i∼j | The set of unique neighbouring edges on a graph |
Im | The m×m identity matrix |
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个人公众号,比较懒,很少更新,可以在上面提问题,如果回复不及时,可发邮件给我: tiehan@sina.cn