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stochastic    
a. 随机的

随机的

stochastic
随机

stochastic
随机

stochastic
adj 1: being or having a random variable; "a stochastic
variable"; "stochastic processes"

Stochastic \Sto*chas"tic\ (st[-o]*k[a^]s"t[i^]k), a. [Gr.
stochastiko`s, from stocha`zesqai to aim, to guess, fr.
sto`chos mark or aim.]
1. Conjectural; able to conjecture. [Obs.] --Whitefoot.
[1913 Webster]

2. random; chance; involving probability; opposite of
{deterministic}.
[GG]

3. (Statistics) of or pertaining to a process in which a
series of calculations, selections, or observations are
made, each one being randomly determined as a sample from
a probability distribution.

Note: Where physical phenomena are modelled as a stochastic
process, each subsequent calculation of a series may
depend on the result of the previous calculation, as in
the modelling of the process of diffusion of molecules.
Many series may be calculated, and the results
averaged, to estimate the most likely result. See also
{Markov chain}.
[PJC] -- {sto*chas"tic*al*ly}, adv.
[PJC]

63 Moby Thesaurus words for "stochastic":
aimless, aleatoric, aleatory, amorphous, blobby, blurred, blurry,
broad, casual, causeless, chance, chancy, chaotic, confused,
designless, disordered, driftless, dysteleological, foggy, fuzzy,
general, haphazard, hazy, hit-or-miss, ill-defined, imprecise,
inaccurate, inchoate, incoherent, indecisive, indefinable,
indefinite, indeterminable, indeterminate, indiscriminate,
indistinct, inexact, inexplicable, lax, loose, mindless,
nonspecific, obscure, orderless, promiscuous, purposeless, random,
shadowed forth, shadowy, shapeless, stray, sweeping, unaccountable,
unclear, undefined, undestined, undetermined, undirected,
unmotivated, unplain, unspecified, vague, veiled


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  • In laymans terms: What is a stochastic process?
    A stochastic process is a way of representing the evolution of some situation that can be characterized mathematically (by numbers, points in a graph, etc ) over time They are of greatest help when you either don't know the exact rules of that evolution over time, or when the exact rule of that evolution is too complicated or costly to compute
  • Whats the difference between stochastic and random?
    The terms "stochastic variable" and "random variable" both occur in the literature and are synonymous The latter is seen more often Similarly "stochastic process" and "random process", but the former is seen more often Some mathematicians seem to use "random" when they mean uniformly distributed, but probabilists and statisticians don't
  • 「Stochastic」与「Random」有何区别？ - 知乎
    知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业、友善的社区氛围、独特的产品机制以及结构化和易获得的优质内容，聚集了中文互联网科技、商业、影视
  • What are the prerequisites for stochastic calculus?
    -Theories of convergence of stochastic processes-Theory of continuous-time stochastic processes, Brownian motion in particular This is all covered in volume one of Rogers and Williams' "Diffusions, Markov processes and martingales", and also sporadically in the two probability-related books above by Dudley and Ash and Doleans-Dade
  • random process和stochastic process的区别是什么？ - 知乎
    事实证明 Khinchin 多虑了。他的苏联同行们很快就发现：什么stochastic，你这不就是random吗？整这么玄乎干什么？于是大家都直接叫random process，也没有引来什么官方的迫害。所以直到今日，很多直接从俄语翻译的文献都是用random process的。
  • 如何理解随机梯度下降（stochastic gradient descent，SGD）？
    如图所示，我们假设函数是 y=x^2+1,那么如何使得这个函数达到最小值呢，简单的理解，就是对x求导，得到 y‘=\frac{1}{2}x ，然后用梯度下降的方式，如果初始值是（0的左边）负值,那么这是导数也是负值，用梯度下降的公式，使得x更加的靠近0,如果是正值的时候同理。
  • Difference between time series and stochastic process?
    Basically, a stochastic process is to a time series what a random variable is to a number The realization (the "result", the observed value) of a random variable (say, a dice roll) is a number - (but, as it's a random variable, we know that the number can take values from a given set according to some probability law)
  • distributed stochastic optimization的研究热点在哪？ - 知乎
    stochastic optimization方面，原始的SGD是一种sublinear convergence的算法(在strongly convex条件下)，这几年，SAG、SVRG、SAGA等有linear convergence的SGD算法引起比较大的关注，算是stochastic optimization方面的新进展，我把这几篇论文的地址贴在下面(注意，其实这都不是入门级的paper)：
  • continuity - What is a continuous stochastic process? - Mathematics . . .
    Isn't this violating the definition of continuous stochastic process or is it that I have to keep $\omega$ constant throught out the process ? Also, is $\omega$ in the definition of continuous stochastic process the outcome at any point of time or is it the string of the outcomes that occurs till time infinity?
  • Stochastic Calculus 在现实的 Quant 世界中到底可以干什么？
    不过这个题目勾起了我的万千情怀，作为一个以前Stochastic Calculus课的TA，我说说我自己浅薄的看法。 Stochastic Calculus（以后简称SC）最早是本科看郎咸平的一本书的序言看到的，他说他自己原来在台湾是个学渣，到了Wharton，听说SC考得好说明这人不笨，于是狂学狂





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