Embedding-level scaling expands the capacity of language models through lookup-based memory rather than by increasing model depth, width, or dense computation. Extending this idea to vision-language models (VLMs) is challenging because visual features are continuous, spatially structured, and query-dependent, unlike discrete text tokens that naturally support n-gram lookup. We introduce V-LUMEN, a visual lookup memory for VLMs. V-LUMEN discretizes visual features with a frozen codebook, builds spatially aware memory keys through spatial aggregation-based hashing, and modulates them with text-conditioned relevance signals; all addressing is non-parametric, and the retrieved embeddings are fused into the backbone through a gated residual pathway. On five reasoning-intensive benchmarks, V-LUMEN substantially improves a frozen Qwen3-VL-2B backbone and transfers zero-shot to three benchmarks whose images are disjoint from the training data. At a matched parameter budget, moving part of a LoRA or MoE adapter's capacity into V-LUMEN preserves accuracy on two backbones, indicating that external visual memory is an independent capacity axis rather than a stronger adaptation method. Because lookup cost is constant in table size and incurred only once at prefill, this capacity grows in storage rather than in per-token compute. Code is available at https://github.com/miso-choi/V-Lumen.
Figures & tables
Figure 1: Overview of V-Lumen . V-Lumen retrieves visual memory embeddings using spatially aggregated and text-conditioned hash keys, then fuses them into the frozen VLM through gated residual updates.
Rows / cell
Table params
Memory
Lookup total (ms)
Gather only (ms)
16,384 (0.2 × )
8,433,472
16.9 MB
11.22 ± 0.15 (1.005 × )
0.463 (0.983 × )
81,920 (1 × )
41,976,448
84.0 MB
11.16 ± 0.11 (1.000 × )
0.471 (1.000 × )
327,680 (4 × )
167,825,792
335.7 MB
11.16 ± 0.11 (1.000 × )
0.462 (0.981 × )
655,360 (8 × )
335,605,248
671.2 MB
11.23 ± 0.21 (1.006 × )
0.491 (1.042 × )
Table 1: Lookup latency versus memory table size for one fusion layer (64 visual tokens, bf16, RTX 6000 Ada; mean over 50 runs). Values in parentheses are relative to the default setting (1 × ).
Setting
ChartMus.
Frieda
VisRes
MMMU
MMMU-Pro
Avg
Avg Δ
Vanilla
1.69
2.27
5.00
1.63
0.30
2.18
–
V-Lumen -only
16.70 ± 0.79
4.77 ± 0.23
24.50 ± 2.07
33.38 ± 0.95
20.50 ± 0.82
19.97 ± 0.47
+17.79 ± 0.47
LoRA-only
17.87 ± 0.28
5.53 ± 0.13
22.03 ± 0.50
41.87 ± 1.47
26.50 ± 1.93
22.76 ± 0.85
+20.58 ± 0.85
LoRA + V-Lumen
18.24 ± 0.41
5.61 ± 0.35
21.70 ± 2.39
41.91 ± 1.30
29.20 ± 0.66
23.33 ± 0.02
+21.15 ± 0.02
MoE-only
13.48 ± 0.90
4.85 ± 0.35
23.53 ± 3.87
33.21 ± 2.22
20.10 ± 0.26
19.03 ± 0.95
+16.85 ± 0.95
MoE + V-Lumen
14.19 ± 0.49
4.70 ± 1.02
25.07 ± 1.43
32.54 ± 1.17
19.00 ± 2.59
19.10 ± 0.91
+16.92 ± 0.91
Table 2: Accuracy (%) on five reasoning-intensive vision-language benchmarks, reported as mean ± std over three seeds. Avg Δ is the average gain over the vanilla backbone (pp). Within each LoRA and MoE pair, both settings are matched in total parameter budget (Appendix G ): LoRA-only and MoE-only correspond to LoRA( 1+k ) and MoE( 1+k ), and the + V-Lumen variants combine LoRA( k ) or MoE( k ) with V-Lumen (1), where k=0.5 . Training schedules are listed in Appendix E.2 .
Benchmark
Vanilla
+ V-Lumen
TextVQA Singh et al. (2019)
11.00
37.17 ± 3.42 (+26.17)
OCR-VQA Mishra et al. (2019)
13.80
47.67 ± 0.76 (+33.87)
VizWiz-VQA Gurari et al. (2018)
2.00
9.97 ± 1.84 (+7.97)
Table 3: Zero-shot accuracy (%) on benchmarks outside the training curriculum, using the frozen Qwen3-VL-2B backbone (mean ± std over three seeds). No in-domain few-shot samples are used, and none of the benchmarks shares image sources with our training data (Appendix F ). Gains over the vanilla backbone are shown in green .
Figure 2: Layer-wise logit-lens analysis on VisRes (MoE, left) and MMMU-Pro (LoRA, right), comparing each adapter-only model with its + V-Lumen counterpart (MoE: budget-matched pair of Tab. 2 ; LoRA: rank-matched LoRA(0.5) pair of Tab. 5 ). Top: JSD (pℓ,pfinal) to the model’s own final prediction. Bottom: top-1 accuracy of the gold answer. Layers 12–27 are shown; below layer 19, both models stay at the maximum JSD and zero top-1 accuracy. Mean ± 1 std over three seeds.
Appendix figures & tables16 assets
Supplementary material from the paper’s appendix.
Appendix
Setting
Mid-training steps
SFT steps
V-Lumen -only (frozen vanilla backbone)
10,000
2,000
LoRA-only / LoRA + V-Lumen
2,000
1,000
MoE-only / MoE + V-Lumen
2,000
1,000
Appendix
Table 4: Training steps for each setting.
Setting
ChartMus.
Frieda
VisRes
MMMU
MMMU-Pro
Avg
Avg Δ
Vanilla
1.69
2.27
5.00
1.63
0.30
2.18
–
LoRA(0.5)
18.24 ± 0.70
5.53 ± 0.69
23.63 ± 1.40
43.37 ± 0.82
28.20 ± 1.21
23.79 ± 0.33
+21.62 ± 0.33
LoRA(0.5) + V-Lumen
18.24 ± 0.41
5.61 ± 0.35
21.70 ± 2.39
41.91 ± 1.30
29.20 ± 0.66
23.33 ± 0.02
+21.15 ± 0.02
Appendix
Table 5: Accuracy (%) under LoRA Design 1 (rank-matched) on Qwen3-VL-2B, mean ± std over three seeds. Both settings share the same LoRA(0.5) adapter (rank 107; Tab. 6 ), and V-Lumen is added on top. Avg Δ is the average gain over the vanilla backbone (pp). Training schedules follow Tab. 4 .
Configuration
LoRA rank
LoRA params
V-Lumen params
Total trainable
LoRA(0.5)
107
42,950,656
–
42,950,656
LoRA(0.5) + V-Lumen
107
42,950,656
86,132,038
129,082,694
Appendix
Table 6: LoRA Design 1 (rank-matched). The LoRA component is shared, and V-Lumen is added on top.
Configuration
LoRA rank
LoRA params
V-Lumen params
Total trainable
Ratio
LoRA(0.5) + V-Lumen
107
42,950,656
86,132,038
129,082,694
1.000 ×
LoRA(1.5)
321
128,851,968
–
128,851,968
0.998 ×
Appendix
Table 7: LoRA Design 2 (total-budget-matched). The LoRA-only baseline is scaled to match the combined trainable parameters of LoRA(0.5) + V-Lumen .
Configuration
Accessible params
Activated params / token
MoE only
131,170,304
4,358,144
MoE + V-Lumen
129,574,214 (0.988 × )
4,334,592 (0.995 × )
MoE component
43,442,176
2,154,496
V-Lumen component
86,132,038
2,180,096
Appendix
Table 8: MoE budget matching. Accessible parameters include all parameters the model can route to; activated parameters are those used per token.
Configuration
# experts
Expert hidden dim
V-Lumen memory table
MoE only
31
344
–
MoE + V-Lumen
21
168
32 cells × 81,920 rows × 32 dims
Appendix
Table 9: Per-side MoE configurations. Both use top-1 routing at decoder layers 2 and 8 without a shared expert. The V-Lumen memory table consists of 32 cells, one for each combination of fusion layer (2), n -gram order (2), and head (8).
Setting
Prefill
Δ prefill
Decode / token
Δ decode
Vanilla
66.0
–
31.90
–
V-Lumen
91.3
+25.3 (+38%)
31.93
+0.03
LoRA(0.5)
85.2
–
49.07
–
LoRA(1.5)
85.4
–
49.29
–
LoRA(0.5) + V-Lumen
110.2
+24.8 (+29%)
49.03
− 0.26
MoE(1.5)
84.2
–
31.96
–
Appendix
Table 10: Prefill and per-token decode latency (ms). Δ is the change from adding V-Lumen to the corresponding budget-matched baseline (Vanilla, LoRA(1.5), or MoE(1.5)). Relative to the rank-matched LoRA(0.5), LoRA(0.5) + V-Lumen adds +25.0 ms prefill and −0.04 ms decode.
Component
V-Lumen
LoRA(0.5) + V-Lumen
MoE(0.5) + V-Lumen
MoE(1.5)
Quantizer (patch → code)
0.3
0.3
0.3
–
TCH bins (PRH / DRH)
1.1
1.1
1.1
–
Key construction
18.2
17.3
16.6
–
Gather (table read)
1.8
1.8
1.8
–
Fusion (gate, value projection, norm)
3.2
3.2
3.1
–
V-Lumen total
24.6
23.7
22.8
–
Appendix
Table 11: Breakdown of V-Lumen prefill overhead (ms per sample, summed over both fusion layers).
Setting
Memory-table params
After load
Peak inference
Vanilla
–
4.256
4.311
V-Lumen
83,952,896 (335.8 MB, fp32)
4.603
4.658
LoRA(0.5)
–
4.428
4.483
LoRA(1.5)
–
4.772
4.829
LoRA(0.5) + V-Lumen
83,952,896 (335.8 MB, fp32)
4.775
4.830
MoE
–
4.781
4.836
Appendix
Table 12: GPU memory overhead (GB). Memory-table parameters are summed over both fusion layers.
Codebook
ChartMus.
Frieda
VisRes
MMMU
MMMU-Pro
Avg Δ
Vanilla
1.69
2.27
5.00
1.63
0.30
–
LaVIT (16,384 codes)
16.70 ± 0.79
4.77 ± 0.23
24.50 ± 2.07
33.38 ± 0.95
20.50 ± 0.82
+17.79 ± 0.47
SEED (8,192 codes)
16.33 ± 0.52
5.83 ± 0.66
27.17 ± 1.01
34.00 ± 2.63
20.10 ± 0.44
+18.51 ± 1.00
Appendix
Table 13: V-Lumen -only accuracy (%) with different frozen codebooks, mean ± std over three seeds. Avg Δ is the average gain over the frozen backbone (pp). The LaVIT row is the V-Lumen -only setting of Tab. 2 .
Axis
Setting
Avg Δ
— (default)
layers (2, 8), K=8 , 8 heads, orders {2,3}
+17.79 ± 0.47
Fusion layers
(2, 8) → (4, 10)
+17.20 ± 0.35
Bins K
8 → 4
+18.33 ± 0.57
8 → 16
+17.81 ± 0.27
Memory heads
8 → 4
+18.64 ± 0.77
8 → 16
+17.99 ± 0.83
Appendix
Table 14: Single-axis sensitivity of V-Lumen -only. Avg Δ is the average gain over the frozen backbone across the five benchmarks (pp, mean ± std over three seeds). Changing the number of heads keeps the total memory dimension fixed (512), so dhead becomes 64 with 4 heads and 16 with 16 heads while the table size stays about 86M parameters; this differs from the width axis in Appendix J , where the total memory dimension changes. Adding a third n -gram order (n=4) keeps dhead=32 and adds 16 memory cells.
Setting
ChartMus.
Frieda
VisRes
MMMU
MMMU-Pro
Avg Δ
Vanilla
5.41
1.36
0.00
2.26
1.30
–
V-Lumen -only
14.49 ± 0.86
4.62 ± 0.35
22.27 ± 0.06
29.11 ± 4.79
14.33 ± 3.95
+14.90 ± 1.82
LoRA(0.5)
18.62 ± 0.28
6.59 ± 0.23
21.40 ± 0.61
45.17 ± 0.88
27.57 ± 0.65
+21.80 ± 0.28
LoRA(0.5)+ V-Lumen
18.32 ± 0.17
5.23 ± 0.39
21.80 ± 0.72
44.63 ± 2.07
26.60 ± 0.87
+21.25 ± 0.49
MoE(1.5)
15.47 ± 0.36
6.21 ± 1.05
22.53 ± 0.40
34.92 ± 1.05
18.73 ± 0.81
+17.51 ± 0.25
MoE(0.5)+ V-Lumen
16.33 ± 0.92
5.68 ± 0.99
21.70 ± 0.75
33.29 ± 0.96
19.27 ± 1.76
+17.19 ± 0.36
Appendix
Table 15: Accuracy (%) on InternVL3.5-2B, mean ± std over three seeds. Avg Δ is the average gain over the frozen backbone (pp). The MoE pair is matched in total parameter budget; the LoRA pair is rank-matched (LoRA(0.5) with and without V-Lumen ; Design 1 in Appendix G ).
Perturbed patches
Variant
Unperturbed
50%
100%
Rolling hash only
+18.67 ± 0.70
+14.01 ± 1.38 ( − 4.67)
0 +3.98 ± 0.21 ( − 14.69)
SAH
+18.19 ± 0.90
+15.09 ± 0.29 ( − 3.10)
+13.94 ± 0.68 ( − 4.25)
SAH + PRH
+18.51 ± 0.02
+15.03 ± 1.36 ( − 3.48)
+13.83 ± 0.96 ( − 4.68)
SAH + DRH
+18.32 ± 0.41
+15.14 ± 0.44 ( − 3.17)
+14.55 ± 1.00 ( − 3.77)
SAH + PRH + DRH
+17.79 ± 0.47
+16.19 ± 0.31 ( − 1.61)
+15.62 ± 0.11 ( − 2.17)
Appendix
Table 16: Component ablation of V-Lumen on the frozen vanilla backbone. Values are the average gain over the frozen backbone across five benchmarks (pp, mean ± std over three seeds). Perturbed columns discretize 50% or 100% of the image patches with a re-drawn projection at evaluation time; the drop from the unperturbed setting is shown in parentheses, and the smallest drop at each level is bold .
Fusion layers
ChartMus.
Frieda
VisRes
MMMU
MMMU-Pro
Avg Δ
Vanilla
1.69
2.27
5.00
1.63
0.30
–
(2, 6)
15.92 ± 0.34
5.53 ± 1.07
25.83 ± 1.45
34.42 ± 1.43
19.10 ± 0.92
+17.98 ± 0.28
(2, 8)
16.70 ± 0.79
4.77 ± 0.23
24.50 ± 2.07
33.38 ± 0.95
20.50 ± 0.82
+17.79 ± 0.47
(2, 10)
16.07 ± 0.33
5.30 ± 0.13
26.13 ± 1.18
27.44 ± 0.51
16.53 ± 1.72
+16.12 ± 0.31
(2, 15)
16.03 ± 0.13
5.30 ± 0.47
21.67 ± 1.52
29.57 ± 0.92
17.67 ± 0.91
+15.87 ± 0.14
(3, 15)
14.86 ± 0.79
4.92 ± 0.47
23.57 ± 0.51
26.68 ± 1.70
16.27 ± 1.48
+15.08 ± 0.56
Appendix
Table 17: Fusion-layer ablation of V-Lumen -only on the frozen backbone (accuracy %, mean ± std over three seeds). Avg Δ denotes the average gain over the frozen backbone (pp). The default configuration is (2, 8).
Axis
Setting
V-Lumen params
Read / token
Avg Δ
Depth
0.5× rows (40,960)
44.2M
1×
+18.14 ± 0.95
1× rows (81,920) ∗
86.1M
1×
+17.79 ± 0.47
2× rows (163,840)
170.0M
1×
+18.36 ± 0.84
4× rows (327,680)
337.8M
1×
+18.33 ± 0.78
8× rows (655,360)
673.4M
1×
+17.79 ± 0.46
Width
dhead=8
21.6M
0.25×
+16.44 ± 0.46
Appendix
Table 18: Capacity scaling of V-Lumen -only on the frozen backbone. Read / token is the amount of memory read per visual token relative to the default. Avg Δ is the average gain over the frozen backbone across five benchmarks (pp, mean ± std over three seeds). ∗ Default configuration (Tab. 2 ).
Figure 3: Layer-wise JSD(pℓ,pfinal) on the two open-ended probe pairs, ChartMuseum (MoE, left) and Frieda (LoRA, right), comparing each adapter-only model with its + V-Lumen counterpart (MoE: budget-matched; LoRA: rank-matched LoRA(0.5)). Mean ± 1 std over three seeds.
Vision-language models (VLMs) face a fixed-budget trade-off between processing more visual information for fine-grained perception and using a larger language backbone for complex reasoning. Existing studies do not tell us which combination of backbone size and input resolution to deploy, especially in high-resolution deployments. To address this gap, we propose the Separable Law that describes how VLM performance changes with language backbone size and visual token count. We fit the law to measurements from 26 InternVL and QwenVL models, with language backbone sizes from 1B to 72B, on four high-resolution benchmarks with image sizes from 224 pixels to 8K. We find that the questions responding to scaling can be predicted from the skill they require, while a substantial fraction never responds at all. We also find that the two model families gain similarly from a larger backbone, while their gains from more visual tokens differ sharply. Combined with a cost law, the Separable Law gives a closed-form rule for allocating compute between backbone size and visual tokens. When deployment is limited to available configurations, the law identifies model and image sizes that perform close to the best feasible choice under the same budget. We hope our work offers a principled way to decide how much a model should be allowed to see at high resolution, given what it must reason about.
Xinye Zhao, Yunkai Dang, Yunchen Wu +1
School of Intelligence Science and Technology, Nanjing University
Long visual contexts challenge vision-language models: performance degrades as the number of distractors grows, and processing all tokens at once can exceed GPU memory limits. We present RETOKEN, a single learnable embedding that extracts retrieval signals from the VLM's internal representations to select query-relevant visual tokens from the pre-filled KV cache. This enables retrieval within the answering VLM, without a separate retriever or re-encoding. Despite being trained on only a small image-QA dataset, RETOKEN generalizes across image and video benchmarks. On Visual Haystacks, it improves Qwen3VL-8B by 13.4 points and InternVL3.5 by 12.4 points (>20% relative). On LVBench, it transfers zero-shot to long video and improves Qwen3VL-8B by 8.0 points. Thanks to its lightweight design, both training and long-video inference fit on a single H100. Code is available at: https://github.com/avaxiao/ReToken
Yao Xiao, Reuben Tan, Zhen Zhu +3
University of Illinois at Urbana-Champaign · Microsoft Research · Google DeepMind
Modern Vision-Language Models (VLMs) benefit from chain-of-thought prompting and test-time scaling, but these gains often come with prohibitive inference cost due to large visual contexts and long decoding chains. We view this cost through two coupled axes: Visual Context Scaling (VCS), which controls how much visual evidence is passed to the language model, and Visual Reasoning Scaling (VRS), which controls how much inference-time reasoning search is performed. Existing methods typically optimize one axis at a time, leaving the joint allocation of compute across these axes underexplored. We introduce Adaptive Visual Inference Scaling (AVIS), a lightweight policy that adapts both VCS and VRS per query. AVIS realizes VCS through Key Diversity Visual (KDV) pruning, a training-free O(N) key-based rule for removing redundant visual tokens before prefilling, and realizes VRS through adaptive self-consistency, using a learned difficulty predictor to select the number of reasoning rollouts. AVIS is deployment-friendly and compatible with shared-prefill inference, where all rollouts reuse a single prefilling pass and KV cache. Across diverse image and video reasoning benchmarks, AVIS improves the accuracy--compute trade-off relative to VCS-only and VRS-only baselines, and remains effective on top of RL post-trained VLMs while keeping compute and latency low.
Ahmadreza Jeddi, Minh Ngoc Le, Amirhossein Kazerouni +8
AI Center-Toronto, Samsung Electronics · University of Toronto · Vector Institute +1