4

基底ないしパターンの数mは、5.3.3項で説明した方法を使ってデータごとに求めるべきパラメータです

I am unable to understand the use of "ないし" phrase in the head of the above sentence after the "基底". This phrase is a form of the adjective "ない" ,meaning no/is not, which is mainly used when the speaker wants to continue after the negation. So why is this being used in the head of the sentence ?

If necessary, this sentence is speaking about a machine learning algorithm and its tuning.

Please help.

3

I think it's the conjunction 乃至{ないし}, meaning "or" here, and "from ... to" in other contexts.

基底ないしパターンの数mは…

The (amount?) of bases or patterns, m, ...

5

ないし is a conjunction that has two meanings:

  1. range of numbers

    二年ないし三年 from two to three years; two up to three years

  2. "and/or" with some nuance of "by extension", such as...

    母ないし親として as a mother, or more generally, a parent
    新幹線ないし特急で by shinkansen or (if failed) express train
    日本ないし韓国 Japan, and (even) also Korea

    I don't know what relation lies between 基底 "basis" and パターン "pattern" in your context, but logically it only means OR in any case.

2

I think you are studying something about DCT(discrete cosine transform). 
「基底ないしパターンの数m」 means "m number of bases (plural form of basis) or patterns", and the meaning of 「ないし」 is "or" that is described in siikamiika's answer.

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