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	"review": true,
22	"approval": "first-time"
23	}