The phrase "a very small prior" is correct and usable in written English.
It can be used in contexts related to statistics, probability, or Bayesian analysis where one refers to a prior distribution that has minimal influence or weight.
Example: "In our Bayesian model, we decided to use a very small prior to ensure that the data would drive the results more than our initial assumptions."
Alternatives: "a minimal prior" or "a negligible prior".
Some philosophers, theologians, and (in their less professional moments) physicists and cosmologists have seen this fact of the very small prior probability of a universe like ours as indicating a use of scientific method as a route to theism.
A: Very small quantities, and we stopped.
To prevent performance degradation, a very small Gaussian prior (i.e., a large weighting factor of the squared l2 norm regularizer) is required, which heavily limits the performance when there is a sufficient amount of adaptation data available.
The rapid increase in population size inferred by the Bayesian skyline analysis also points to a very small effective size prior to the expansion, which is compatible with the long-term population size estimated for several modern cattle breeds [ 37].
Although not statistically significant to a very small sample size, one prior study in healthy volunteers found higher systolic blood pressure and lower diastolic blood pressure in subjects supplemented with echinacea in comparison with placebo [ 10].
For data containing a large number of loci of tiny effect, the empirical Bayes approach should estimate a very small value, and the QNM prior will concentrate on very small effect sizes.
A 0.15 prior weight resulted in only a very small negative quantitative bias with respect to a prior weight of 0 and still decreased the IDM induced noise amplification.
A very small number indicated they had received prior training in eating disorders or mental health, the majority of whom were staff acting in a welfare capacity at their college.
Since the 16S gene is only a very small fraction of the metagenome, our prior experiences showed that extracting 16S sequences and classifying the samples using only the 16S gene sequences do not work well.
A negative slope was seen during attempts where a very small 'countermovement' was visible in the torque signal just prior to torque onset.
