Would there be a big correction happening in the near future, to shake out those weak coins

We don't know, we can't tell it perfectly on what exactly going to happen but we can speculate base on the scenario's where are we right now.
End of Feb if the past 3 years have anything to say about it.
2017 - drop Jan 4th, back up Feb 17th
2016 - drop Jan 10th, back up Feb 20th
2015 - drop Jan 12th, back up Mar 3rd
Seen this comparison through a chart and it's likely history is repeating itself. The first wave that happened before the first contract of bitcoin futures closed and I assume it's the big correction for this year if not, the big correction that chanpinchen is saying can probably shake out not only those weak coins but the whole crypto market.