Compressed Concatenation of Small Embedding Models
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Abstract (arXiv)
Embedding models are central to dense retrieval, semantic search, and recommendation systems, but their size often makes them impractical to deploy in resource-constrained environments such as browsers or edge devices. While smaller embedding models offer practical advantages, they typically underperform compared to their larger counterparts. To bridge this gap, we demonstrate that concatenating the raw embedding vectors of multiple small models can outperform a single larger baseline on standard retrieval benchmarks. To overcome the resulting high dimensionality of naive concatenation, we introduce a lightweight unified decoder trained with a Matryoshka Representation Learning (MRL) loss. This decoder maps the high-dimensional joint representation to a low-dimensional space, preserving most of the original performance without fine-tuning the base models. We also show that while concatenating more base models yields diminishing gains, the robustness of the decoder's representation under compression and quantization improves. Our experiments show that, on a subset of MTEB retrieval tasks, our concat-encode-quantize pipeline recovers 89% of the original performance with a 48x compression factor when the pipeline is applied to a concatenation of four small embedding models.
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References · 14
- 2020A Simple Framework for Contrastive Learning of Visual Representationscited by 12,049
- 2015Distilling the Knowledge in a Neural Networkcited by 10,324
- 2022Text Embeddings by Weakly-Supervised Contrastive Pre-trainingcited by 1,253
- 2021BEIR: A Heterogenous Benchmark for Zero-shot Evaluation of Information Retrieval Modelscited by 1,252
- 2023Towards General Text Embeddings with Multi-stage Contrastive Learningcited by 723
- 2023C-Pack: Packed Resources For General Chinese Embeddingscited by 578
- 2022Matryoshka Representation Learningcited by 282
- 2024jina-embeddings-v3: Multilingual Embeddings With Task LoRAcited by 141
- 2024Arctic-Embed: Scalable, Efficient, and Accurate Text Embedding Modelscited by 61
- 2020Distilling Dense Representations for Ranking using Tightly-Coupled Teacherscited by 52
- 2021Jointly Optimizing Query Encoder and Product Quantization to Improve Retrieval Performancecited by 35
- 2022Distill-VQ: Learning Retrieval Oriented Vector Quantization By Distilling Knowledge from Dense Embeddingscited by 17
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- 2025SMEC: Rethinking Matryoshka Representation Learning for Retrieval Embedding Compression
- 2026No More K-means: Single-Stage Sparse Coding for Efficient Multi-Vector Retrieval
- 2023Quick Dense Retrievers Consume KALE: Post Training Kullback Leibler Alignment of Embeddings for Asymmetrical dual encoders
- 2026UEmbed: Unified Sparse and Dense Multimodal Embeddings
- 2026Where Post-Training Quantization Breaks Text Embedders: A Measured Map Across Four Embedder Families
- 2024NUDGE: Lightweight Non-Parametric Fine-Tuning of Embeddings for Retrieval
- 2022LED: Lexicon-Enlightened Dense Retriever for Large-Scale Retrieval
- 2025OSCAR: Online Soft Compression And Reranking