Approximating the longest increasing subsequence in a stream

Find how much space a randomized streaming algorithm needs to approximate the longest increasing subsequence within a constant factor.

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	1	+{
	2	+ "domain": "computer-science",
	3	+ "topics": [
	4	+ "algorithms-complexity"
	5	+ ],
	6	+ "type": "proof",
	7	+ "also": [
	8	+ "algorithm"
	9	+ ],
	10	+ "source": {
	11	+ "key": "sublinear",
	12	+ "name": "Sublinear.info",
	13	+ "url": "https://sublinear.info/44",
	14	+ "id": "44",
	15	+ "curator": "Sublinear.info editors",
	16	+ "poser": "Amit Chakrabarti",
	17	+ "status": "open",
	18	+ "as_of": "2026-10-20",
	19	+ "catalog": "0521c19bbd38"
	20	+ }
	21	+}