Pith Number

pith:YHEMZCTA

pith:2026:YHEMZCTAE6YZTFQAFAY2KFCJ4U

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Task-Driven Subspace Decomposition for Knowledge Sharing and Isolation in LoRA-based Continual Learning

De Cheng, Huaijie Wang, Lingfeng He, Nannan Wang, Xinbo Gao, Xi Yang

LoDA decomposes LoRA updates into shared general and task-specific subspaces via energy-based objectives to enable knowledge transfer without catastrophic forgetting.

arxiv:2603.00191 v4 · 2026-02-27 · cs.LG · cs.CV

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\pithnumber{YHEMZCTAE6YZTFQAFAY2KFCJ4U}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

LoDA outperforms existing CL methods by performing task-driven decomposition to build general and truly task-specific LoRA subspaces, fixing down-projections and using GAO plus closed-form recalibration for the general update.

C2weakest assumption

That solving the two energy-based objectives will reliably produce effective shared and task-specific directions, and that the null-space limitations of prior methods are the primary bottleneck rather than other factors such as optimization dynamics or data distribution shifts.

C3one line summary

LoDA introduces task-driven subspace decomposition in LoRA for continual learning to separate knowledge-sharing and isolation directions via energy objectives and closed-form recalibration, outperforming prior null-space methods.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-26T01:03:26.854634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1c8cc8a6027b19996002831a51449e503f461d3bae3951bcf32be82162dfe46

Aliases

arxiv: 2603.00191 · arxiv_version: 2603.00191v4 · doi: 10.48550/arxiv.2603.00191 · pith_short_12: YHEMZCTAE6YZ · pith_short_16: YHEMZCTAE6YZTFQA · pith_short_8: YHEMZCTA

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YHEMZCTAE6YZTFQAFAY2KFCJ4U \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c1c8cc8a6027b19996002831a51449e503f461d3bae3951bcf32be82162dfe46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8808c3d788d985ec7101547ff37cbe6e98595941672cf5a8b6b34f8312ea4f3",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-27T02:31:00Z",
    "title_canon_sha256": "1af17290de1aca09b5df77ed7c7430c707b128208f440cc46ca9745b644b2781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.00191",
    "kind": "arxiv",
    "version": 4
  }
}