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A Bayesian Approach to Data Point Selection

NeurIPS 2024 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Nonparametric and PAC-Bayes Bayesian learning

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Proposes BADS, a Bayesian data point selection method that infers the joint posterior of a main network and instance-wise weights (via a weight network) using SGLD, avoiding bi-level optimisation.

Problem

Data point selection (reweighting or filtering uncurated training data using a small in-domain meta set) is dominated by bi-level optimisation methods that are memory- and compute-heavy and lack convergence guarantees with minibatches.

Approach

Treat DPS as posterior inference in a Bayesian model where the backbone is conditioned on weighted train data and the meta data is the likelihood; sample backbone and instance weights jointly with stochastic gradient Langevin dynamics, giving an SGD-like update with minibatch convergence guarantees.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use BADS instead of the strongest listed non-BADS baselineOpenLLaMA 3B instruction fine-tuning · MMLUaccuracy: 26.59 vs 25.62Helped
Use BADS instead of AskLLM-OOpenLLaMA 3B instruction fine-tuning · ARC-challengeaccuracy: 34.39 vs 35.15Hurt
Use BADS instead of ClassActOpenLLaMA 3B instruction fine-tuning · ARC-easyaccuracy: 67.00 vs 67.34Hurt
Use BADS instead of AskLLM-OOpenLLaMA 3B instruction fine-tuning · HellaSwagaccuracy: 52.91 vs 53.71Hurt
Replace the BADS weight network with individual scalar weights (ablation)BADS on CIFAR-10 denoising · CIFAR-10accuracyHelped
Reduce the weight-prior impact constant σ (ablation)BADS across the three proof-of-concept scenarios · MNIST, CIFAR, WebNLGperformanceNo clear effect
Increase sparsity level β in the WebNLG and MNIST settings (ablation)BADS · WebNLG and MNISTperformanceHurt
Decrease sparsity level β in the CIFAR denoising setting (ablation)BADS · CIFARperformanceMixed
Use σ = 0.5 rather than a sufficiently low σ (ablation)BADS on CIFAR-10 with 50% noisy data · CIFAR-10clean-example weightingHurt
Use σ = 0.05 rather than a sufficiently low σ (ablation)BADS on CIFAR-10 with 50% noisy data · CIFAR-10clean-example weightingNo clear effect
Set σ to ≤ 5 × 10^{-5} (ablation)BADS on CIFAR-10 with 50% noisy data · CIFAR-10clean-example weightingHelped
Decrease β from 0.8 to 0.05 (ablation)BADS trained on WebNLG City and Artist domains · WebNLGArtist-domain weightingHelped

Surprising findings

Limitations

Experimental setup

Datasets: MNIST CIFAR-10 WebNLG 2020 FLAN V2 CoT Dolly Open Assistant 1 MMLU ARC-challenge ARC-easy HellaSwag

Benchmarks: MNIST CIFAR-10 WebNLG 2020 MMLU ARC-challenge ARC-easy HellaSwag

Metrics: accuracy BLEU GPU memory (MB) training time (s)

Baselines: Mixing Meta_Only Random_Select Duplicate_Meta BLO CDS ClassAct AskLLM-O

Builds on: bi-level optimisation (learning to reweight) stochastic gradient Langevin dynamics contrastive data selection ClassAct

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