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Understanding LLM Embeddings for Regression

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arxiv 2411.14708 v3 pith:KF4OG6VX submitted 2024-11-22 cs.LG cs.AIcs.CL

classification cs.LGcs.AIcs.CL
keywords regressionembeddingsfeaturefeatureslanguagemodelperformanceunderstanding
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With the rise of large language models (LLMs) for flexibly processing information as strings, a natural application is regression, specifically by preprocessing string representations into LLM embeddings as downstream features for metric prediction. In this paper, we provide one of the first comprehensive investigations into embedding-based regression and demonstrate that LLM embeddings as features can be better for high-dimensional regression tasks than using traditional feature engineering. This regression performance can be explained in part due to LLM embeddings over numeric data inherently preserving Lipschitz continuity over the feature space. Furthermore, we quantify the contribution of different model effects, most notably model size and language understanding, which we find surprisingly do not always improve regression performance.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantile Regression with Large Language Models for Price Prediction

    cs.CL 2025-06 conditional novelty 6.0 of 10

    Fine-tuning Mistral-7B with a multi-quantile head produces calibrated predictive price distributions and better median price estimates than pointwise, embedding-based, and few-shot LLM baselines on three datasets.

  2. Emergent Response Planning in LLMs

    cs.CL 2025-02 conditional novelty 6.0 of 10

    Hidden representations of LLM prompts encode global attributes of the upcoming response, and simple probes can predict length, content choices, and answer confidence before generation begins.

  3. When Dimensionality Hurts: The Role of LLM Embedding Compression for Noisy Regression Tasks

    cs.CL 2025-02 conditional novelty 6.0 of 10

    Compressing LLM text embeddings with an autoencoder to about 8 dimensions improves stock return prediction, but this benefit disappears on high-signal tasks, and sentiment features seem to work mainly because of compression.

  4. Decoding-based Regression

    cs.LG 2025-01 conditional novelty 5.0 of 10

    Autoregressive decoder heads trained with cross-entropy match pointwise heads on tabular regression and can estimate smooth conditional densities.

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