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  • Visualize ColBERT token scores
    • Remove query augment and re-train

image

A few explorations:

  • Better further pretraining
    • compare ELECTRA objective (contain more objectives and shown effective in downstream retrieval [1])
    • compare CoT-MAE autoencoder (compared to the Condenser, its CLS is used only to unmask remote context words, and the decoder does not depend on encoder lower layers [2])
    • scheduled warmup
  • ColBERT Contextual embeddings and CLS compression (alternatively, convert dense vectors to lexical/sparse vectors and compress, e.g., aggregator?)
    • reduce dimension using robust PCA [4] (better in dealing with noise), and compare it against linear pooling and PCA.
    • try to detect dimension importance, prune them in dot product by mutual info
    • transform representation by rate reduction [3]
  • better hybrid with structure search
    • train click-log models to guide/gate 3 passes, i.e., math structure, text word bm25, and dense retriever. Expected to be better than linear fusion.
  • [optional] train a cross encoder and do distillation?
    • previous models using existing labels do not show too much advantage. I can verify these if time permits.

[1] https://arxiv.org/pdf/2207.02578.pdf

[2] https://arxiv.org/pdf/2208.07670.pdf

[3] https://arxiv.org/abs/2105.10446

[4] https://arxiv.org/abs/0912.3599

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