Organizations: Key Laboratory of High Confidence Software Technologies (PKU), Ministry of Education School of Computer Science, Peking University Beijing, China · School of Computer Science Zhejiang University Hangzhou, China · School of Cyber Science and Engineering Wuhan University Wuhan, China · School of Information Science and Technology Tibet University Lhasa, China
Real-world multimodal knowledge graphs (MMKGs) are dynamic, with new entities, relations, and multimodal knowledge emerging over time. Existing continual knowledge graph reasoning (CKGR) methods focus on structural triples and cannot fully exploit multimodal signals from new entities. Existing multimodal knowledge graph reasoning (MMKGR) methods, however, usually assume static graphs and suffer catastrophic forgetting as graphs evolve. To address this gap, we present a systematic study of continual multimodal knowledge graph reasoning (CMMKGR). We construct several continual multimodal knowledge graph benchmarks from existing MMKG datasets and propose MRCKG, a new CMMKGR model. Specifically, MRCKG employs a multimodal-structural collaborative curriculum to schedule progressive learning based on the structural connectivity of new triples to the historical graph and their multimodal compatibility. It also introduces a cross-modal knowledge preservation mechanism to mitigate forgetting through entity representation stability, relational semantic consistency, and modality anchoring. In addition, a multimodal contrastive replay scheme with a two-stage optimization strategy reinforces learned knowledge via multimodal importance sampling and representation alignment. Experiments on multiple datasets show that MRCKG preserves previously learned multimodal knowledge while substantially improving the learning of new knowledge.
Figures & tables
Figure 1. CMMKG stores knowledge in the form of triplets; however, unlike traditional knowledge graphs, its multimodal information also continuously evolves over time. Three snapshots illustrate a continually evolving multimodal knowledge graph. Entities representing political figures and the United States gain and change structural relations, portrait images, and textual descriptions over time.
Figure 2. Overall framework of MRCKG for continual multimodal knowledge graph reasoning. The MRCKG pipeline combines a scalable multimodal encoding backbone with multimodal structure-aware curriculum learning, cross-modality knowledge preservation, multimodal contrastive replay, and two-stage optimization across graph snapshots.
Dataset
Split
S0
S1
S2
S3
S4
#Ent
#Rel
#Triples
#Ent
#Rel
#Triples
#Ent
#Rel
#Triples
#Ent
#Rel
#Triples
#Ent
#Rel
#Triples
DB15K
Entity
4,494
216
50,149
8,501
253
36,735
10,504
261
12,255
11,839
273
5,207
12,842
279
2,012
Higher
1,884
136
8,616
4,266
185
14,853
6,813
206
19,806
9,895
232
29,718
12,842
279
28,290
Equal
4,332
181
19,808
7,221
204
22,783
9,459
229
22,783
11,530
256
22,778
12,842
279
11,451
MKG-W
Entity
5,250
126
21,025
9,930
150
15,891
12,270
156
5,111
13,830
166
2,651
15,000
169
1,323
Higher
1,648
67
3,717
3,891
67
6,411
5,982
100
8,550
9,166
129
12,825
15,000
169
17,095
Table 1. Dataset statistics for all 9 continual MMKG benchmarks ( T=5 snapshots). #Ent and #Rel denote cumulative entity/relation counts at each snapshot; #Triples denotes the number of triples used at each snapshot after bridge augmentation, rather than only newly introduced triples (split into Train/Valid/Test at a 3:1:1 ratio).
DB15K
MKG-W
MKG-Y
Entity
Higher
Equal
Entity
Higher
Equal
Entity
Higher
Equal
Setting
Method
MRR
H@10
MRR
H@10
MRR
H@10
MRR
H@10
MRR
H@10
MRR
H@10
MRR
H@10
MRR
H@10
MRR
H@10
Unimodal +FT
TransE+FT
0.1085
0.2355
0.0987
0.2271
0.0913
0.2160
0.0956
0.1909
0.1024
0.2289
0.0867
0.1919
0.1243
0.2212
0.1587
0.2962
0.1462
0.2697
DistMult+FT
0.1186
0.2092
0.1063
0.1988
0.0978
0.1880
0.1043
0.1693
0.1098
0.1995
0.0942
0.1695
0.1356
0.1961
0.1725
0.2617
0.1589
0.2382
ComplEx+FT
0.1644
0.2348
0.1512
0.2289
0.1387
0.2159
0.1425
0.1872
0.1536
0.2260
0.1308
0.1905
0.1872
0.2192
0.2316
0.2845
0.2153
0.2614
TuckER+FT
0.1618
0.2151
0.1489
0.2098
0.1354
0.1962
0.1397
0.1709
0.1503
0.2058
0.1276
0.1730
0.1835
0.2000
0.2274
0.2600
0.2108
0.2382
Table 2. Average MRR and Hits@10 comparison on all nine benchmarks. The best result in each column is shown in bold , and the second best is underlined .
Variant
MRR
H@1
H@10
BWT
Full
0.2856
0.2213
0.4102
− 0.068
w/o CMKP
0.2549
0.1988
0.3673
− 0.126
w/o MMCR
0.2683
0.2056
0.3875
− 0.095
w/o MSCL
0.2715
0.2075
0.3914
− 0.085
w/o Prog.
0.2639
0.2021
0.3749
− 0.102
w/o Visual
0.2671
0.2003
0.3931
− 0.073
Table 3. Ablation study on DB15K-Entity, including component ablation and modality ablation.
Figure 3. Analysis on DB15K-Entity. (a) Per-snapshot MRR on new vs. old triples; (b) S0 forgetting curves; (c) MRR–BWT Pareto front; (d) multi-metric radar plot. Four plots compare continual-learning behavior on DB15K-Entity: MRR for new and old triples, forgetting on the first snapshot, the MRR versus backward-transfer frontier, and a radar chart of normalized performance metrics.
Figure 4. Per-snapshot MRR bar plots of MRCKG on the three DB15K settings. Three grouped bar charts show MRR for snapshots zero through four after successive training stages under the Entity, Higher, and Equal DB15K splits.
Figure 5. (a) Error type distribution of MRCKG; (b) Hits@1 of three methods across snapshots. A donut chart partitions MRCKG predictions into forgetting, cold-start, cross-modal ambiguity, other, and correct outcomes. A grouped bar chart compares MRCKG, Structure-CL, and fine-tuning Hits at one across five snapshots.
Appendix figures & tables3 assets
Supplementary material from the paper’s appendix.
Appendix
Method
Entity
Higher
Equal
MRR
H@1
H@3
H@10
BWT
MRR
H@1
H@3
H@10
BWT
MRR
H@1
H@3
H@10
BWT
TransE+FT
0.1085
0.0427
0.1331
0.2355
− 0.064
0.0987
0.0350
0.1247
0.2271
− 0.067
0.0913
0.0334
0.1165
0.2160
− 0.074
DistMult+FT
0.1186
0.0751
0.1274
0.2092
− 0.057
0.1063
0.0606
0.1176
0.1988
− 0.060
0.0978
0.0576
0.1093
0.1880
− 0.066
ComplEx+FT
0.1644
0.1275
0.1798
0.2348
− 0.024
0.1512
0.1055
0.1703
0.2289
− 0.025
0.1387
0.1000
0.1578
0.2159
− 0.028
TuckER+FT
0.1618
0.1338
0.1724
0.2151
− 0.022
0.1489
0.1108
0.1634
0.2098
− 0.023
0.1354
0.1041
0.1500
0.1962
− 0.025
TransE+EWC
0.1088
0.0477
0.1301
0.2276
− 0.062
0.0994
0.0392
0.1224
0.2204
− 0.065
0.0921
0.0376
0.1145
0.2100
− 0.071
Appendix
Table 4. Full results on DB15K benchmarks (Avg MRR / H@1 / H@3 / H@10 / BWT). Best bold , second best underlined .
Method
Entity
Higher
Equal
MRR
H@1
H@3
H@10
BWT
MRR
H@1
H@3
H@10
BWT
MRR
H@1
H@3
H@10
BWT
TransE+FT
0.0956
0.0376
0.1138
0.1909
− 0.061
0.1024
0.0351
0.1269
0.2289
− 0.066
0.0867
0.0314
0.1074
0.1919
− 0.072
DistMult+FT
0.1043
0.0660
0.1087
0.1693
− 0.054
0.1098
0.0605
0.1191
0.1995
− 0.059
0.0942
0.0549
0.1022
0.1695
− 0.064
ComplEx+FT
0.1425
0.1105
0.1512
0.1872
− 0.023
0.1536
0.1036
0.1697
0.2260
− 0.025
0.1308
0.0933
0.1445
0.1905
− 0.027
TuckER+FT
0.1397
0.1155
0.1444
0.1709
− 0.021
0.1503
0.1081
0.1617
0.2058
− 0.023
0.1276
0.0971
0.1373
0.1730
− 0.025
TransE+EWC
0.0968
0.0424
0.1123
0.1863
− 0.059
0.1037
0.0396
0.1252
0.2234
− 0.064
0.0879
0.0355
0.1062
0.1876
− 0.069
Appendix
Table 5. Full results on MKG-W benchmarks (Avg MRR / H@1 / H@3 / H@10 / BWT). Best bold , second best underlined .
Method
Entity
Higher
Equal
MRR
H@1
H@3
H@10
BWT
MRR
H@1
H@3
H@10
BWT
MRR
H@1
H@3
H@10
BWT
TransE+FT
0.1243
0.0611
0.1403
0.2212
− 0.056
0.1587
0.0768
0.1811
0.2962
− 0.053
0.1462
0.0719
0.1668
0.2697
− 0.055
DistMult+FT
0.1356
0.1073
0.1340
0.1961
− 0.050
0.1725
0.1344
0.1723
0.2617
− 0.047
0.1589
0.1258
0.1587
0.2382
− 0.049
ComplEx+FT
0.1872
0.1685
0.1884
0.2192
− 0.021
0.2316
0.2084
0.2356
0.2845
− 0.020
0.2153
0.1938
0.2190
0.2614
− 0.021
TuckER+FT
0.1835
0.1651
0.1799
0.2000
− 0.019
0.2274
0.2047
0.2253
0.2600
− 0.018
0.2108
0.1897
0.2089
0.2382
− 0.019
TransE+EWC
0.1258
0.0689
0.1384
0.2158
− 0.055
0.1604
0.0865
0.1784
0.2886
− 0.051
0.1478
0.0810
0.1644
0.2628
− 0.053
Appendix
Table 6. Full results on MKG-Y benchmarks (Avg MRR / H@1 / H@3 / H@10 / BWT). Best bold , second best underlined .
Biomedical knowledge graphs are increasingly large, dynamic, and multimodal, driven by rapid advances in biotechnology such as high-throughput sequencing. Machine learning models can infer previously unobserved biomedical relationships and characterize biomedical entities in these graphs, but existing knowledge graph embedding methods and their continual learning extensions either assume static graph structure or fail to exploit multimodal information under evolving data distributions. They also apply uniform regularization across all model parameters, ignoring that different modalities may exhibit distinct forgetting dynamics as the graph evolves. We propose the Continual Multimodal Knowledge Graph Learner (CMKL), a CL framework for biomedical KGs that natively encodes structure, text, and molecules, fuses them through a Mixture-of-Experts (MoE) router, and protects previously learned knowledge with standard EWC regularization and a K-means-diverse multimodal replay buffer. We evaluate CMKL on a 129K-entity biomedical continual benchmark with 10 tasks. On continual biomedical entity classification, CMKL reaches AP 0.591 versus 0.370 for the strongest structural baseline, a 60% gain that is driven by access to multimodal features and preserved across the sequence with near-zero forgetting (AF 0.008). On continual relationship prediction, CMKL reaches AP 0.062, matching Naive Sequential and EWC (0.058) within seed noise and outperforming Joint Training (0.047, p=0.045) and LKGE (0.039). A frozen-text ablation reaches AP 0.136, more than double any jointly trained model, yet that signal is unreachable by margin-ranking gradients: the greedy-modality asymmetry lives at the representation level, not the fusion level, and MoE routing manages it by suppressing the unreachable modality without forcing it through a learned bottleneck. Code: github.com/yradwan147/cmkl-neurips2026
Yousef A. Radwan, Yao Li, Qing Qing +5
Technology, Innovation, Entrepreneurship Department King Abdullah University of Science and Technology · School of Computing and Information Systems The University of Melbourne · College of Computer Science and Technology Jilin University +2
Multimodal knowledge graphs (MMKGs) organize information across different modalities to support multimodal Graph Retrieval-Augmented Generation (RAG), which aims to improve the performance of multimodal large language models (MLLMs). The effectiveness of these multimodal Graph RAG methods largely depends on the quality of the constructed MMKGs. However, most existing methods construct MMKGs without explicit guidance on graph quality, while reinforcement learning (RL)-based methods that rely on final-answer correctness may provide only indirect feedback on MMKG quality. To address these limitations, we propose MMKG-R1, a novel MMKG-quality-driven RL framework for training an MLLM as a multimodal knowledge constructor. To be specific, MMKG-R1 introduces multiple quality-aware rewards to directly evaluate both the quality of information extracted from individual knowledge sources and the quality of the assembled MMKG. These rewards are then used to guide the RL training. Experiments across multiple datasets show that MMKG-R1 constructs MMKGs that improve downstream question-answering accuracy.
Real-world multimodal knowledge graphs (MKGs) are inherently heterogeneous, modeling entities that are associated with diverse modalities. Traditional knowledge graph embedding (KGE) methods excel at learning continuous representations of entities and relations, yet they are typically designed for unimodal settings. Recent approaches extend KGE to multimodal settings but remain constrained, often processing modalities in isolation, resulting in weak cross-modal alignment, and relying on simplistic assumptions such as uniform modality availability across entities. Vision-Language Models (VLMs) offer a powerful way to align diverse modalities within a shared embedding space. We propose Vision-Language Knowledge Graph Embeddings (VL-KGE), a framework that integrates cross-modal alignment from VLMs with structured relational modeling to learn unified multimodal representations of knowledge graphs. Experiments on WN9-IMG and two novel fine art MKGs, WikiArt-MKG-v1 and WikiArt-MKG-v2, demonstrate that VL-KGE consistently improves over traditional unimodal and multimodal KGE methods in link prediction tasks. Our results highlight the value of VLMs for multimodal KGE, enabling more robust and structured reasoning over large-scale heterogeneous knowledge graphs.