"without any influence" is correct and usable in written English.
For example, you might say: "The decision was made without any outside influence."
Without any influence on my part, Jacqueline took it upon herself to convert to Judaism.
"I was impressed that Michael made 'The Red Turtle' without any influence from Japanese animation," Mr. Suzuki said.
"We should not put ourselves in a position of being irrelevant or without any influence given our stakes".
"If we're required to carry out a task, without any influence over the process, then we may as well be a machine.
"It is worse watching rather than knowing you are taking one because you are just sat on the sidelines without any influence.
The self-supported membrane configuration allows exploration of the membrane bulk and surface effects without any influence of a porous support.
Against this backdrop, BP's innovation was to establish an independent advisory panel to hear community concerns, encourage debate, examine BP's activities, and report its findings publicly and fully, all without any influence from BP.
After the first GATT talks in 1947, The Economist sniffed that: "For many of the countries involved customs tariffs are at present without any influence on the volume of trade".
As it is impossible to design an ontology without any influence, the ontologist should develop his awareness and has to minimize the influence through the process by taking precisely into account the ecosystem considered.
A method for measuring the saddle vibration transmissibility was developed with the aim of comparing the comfort properties of bicycle saddles without any influence of the full bicycle frame, using a quantitative approach.
Moreover, other studies have observed that independent variability of activity, which is the variability of the measured neural activity without any influence from correlated variability with other neurons/populations, could also be modulated for improved categorization.
