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Tensorized Attention for Understanding Multi-Object Relationships
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Introduces the Tensorized Attention Model (TAM), which uses Tucker decomposition to compute attention over three object types (query, key/value memory, and semantics) and integrates it into Transformer encoders and as a LoRA adapter for Llama2-13B.
Problem
Standard attention only models relationships between one or two object types, so it cannot capture simultaneous multi-object relationships (e.g., comments, replies, and subjects) that matter in real-world data such as Reddit and X conversations.
Approach
Extends the Tensorized Transformer by using a Tucker-decomposed core tensor whose first axis matches the query token length, computing 3D attention among query, key, and semantic components, then collapsing the semantic axis (semantic fusion) to a 2D attention applied to values; also applied as a LoRA adapter.
Key results
- Trained from scratch, TAM reaches R10@1 of 45.61 on NFL, 52.12 on Politics, and 47.15 on TweetQA, outperforming BERT(SCR) (35.76, 37.09, 23.39) and ActBERT (43.89, 48.05, 29.74).
- As a LoRA adapter on Llama2-13B, TAM achieves Rouge-1 of 14.06 on Tea versus 13.39 for LoRA, and 76.12 versus 75.87 on SQuAD.
- Human and LLM judgments on 100 Tea assessments indicate TAM produced over 15% more informative outputs than LoRA while preserving naturalness.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use TAM instead of ActBERT | Encoder trained from scratch · NFL test | R10@1: 43.89 -> 45.61 | Helped |
| Use TAM instead of ActBERT | Encoder trained from scratch · Politics test | R10@1: 48.05 -> 52.12 | Helped |
| Use TAM instead of BERT(SCR) | Encoder trained from scratch · TweetQA test | R10@1: 23.39 -> 47.15 | Helped |
| Use TAM instead of BERTP (SCR)-BERT(SCR) | BERT-base initialized encoder · NFL test | R10@1: 68.04 -> 68.54 | Helped |
| Use TAM instead of BERTP (SCR)-BERT(SCR) | BERT-base initialized encoder · Politics test | R10@1: 71.73 -> 72.65 | Helped |
| Use TAM instead of BERTP (SCR) | BERT-base initialized encoder · TweetQA test | R10@1: 81.03 -> 81.95 | Helped |
| Use TAM instead of LoRA | Llama2-13B adapter · Tea test | Rouge1: 13.39 -> 14.06 | Helped |
| Use TAM instead of LoRA | Llama2-13B adapter · SQuAD test | Rouge1: 75.87 -> 76.12 | Helped |
| Add semantic fusion (instead of split&concat) (ablation) | TAM · NFL test | R10@1: 42.74 -> 45.61 | Helped |
| Add semantic fusion (instead of split&concat) (ablation) | TAM · Politics test | R10@1: 46.25 -> 52.12 | Helped |
| Add semantic fusion (instead of split&concat) (ablation) | TAM · TweetQA test | R10@1: 40.61 -> 47.15 | Helped |
| Add query alignment (ablation) | TAM · NFL test | R10@1: 38.01 -> 45.61 | Helped |
Surprising findings
- Tensorized Transformer variants performed similar to or worse than BERT on most datasets, with TTrans(SCR) dropping on NFL (32.05 vs 35.76 for BERT(SCR)).
Limitations
- Experiments are limited to Reddit, TweetQA, and SQuAD with specific semantic-object designs chosen per dataset.
- Parameter count slightly exceeds BERT; Longformer-style layers suggested but not tested.
- LLM adapter experiments run for only one epoch and small dimension settings were chosen per dataset.
Experimental setup
Datasets: NFL (Reddit) Politics (Reddit) TweetQA Tea (Reddit) SQuAD 1.1
Benchmarks: NFL Politics TweetQA Tea SQuAD 1.1
Metrics: Recall10@1 Recall10@2 Recall10@5 ROUGE-1 ROUGE-2 ROUGE-L BLEU-1 BLEU-2
Baselines: BERT Tensorized Transformer ViLBERT ActBERT LoRA
Builds on: Tensorized Transformer LoRA BERT ViLBERT ActBERT
Closest papers by meaning
- Tensor Product Attention Is All You Need (NeurIPS 2025 · similarity 0.84)
- Hierarchical Self-Attention: Generalizing Neural Attention Mechanics to Multi-Scale Problems (NeurIPS 2025 · similarity 0.84)
- SAS: Simulated Attention Score (NeurIPS 2025 · similarity 0.84)
- SAS: Simple Attention Sparsification via End-to-End Optimization of Context Ranking (NeurIPS 2026 · similarity 0.84)
- Unveiling and Harnessing Hidden Attention Sinks: Enhancing Large Language Models without Training through Attention Calibration (ICML 2024 · similarity 0.84)
- MoH: Multi-Head Attention as Mixture-of-Head Attention (ICML 2025 · similarity 0.84)
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