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Chain-of-Thought Reasoning Without Prompting

NeurIPS 2024 · Large language models › Reasoning and chain of thought · approach: Chain-of-thought training and analysis · 36 citations (OpenAlex)

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Shows that pre-trained LLMs contain latent chain-of-thought paths that surface when branching over top-k first tokens, and proposes CoT-decoding, which ranks decoded paths by answer-token confidence margin to pick reasoning paths without any prompt or fine-tuning.

Problem

Reasoning in LLMs is typically elicited via prompting (few-shot or zero-shot CoT) or supervised CoT tuning, which confounds assessment of intrinsic reasoning; the paper asks whether LLMs can reason without prompting.

Approach

Instead of relying on the greedy path, branch over the top-k alternative tokens at the first decoding step under a plain "Q: ... A:" format, then select the path whose final answer has the highest average top-1 vs top-2 probability margin (CoT-decoding), optionally aggregating answers weighted by this margin.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Branch over top-10 first-step tokens and rank paths by answer confidenceMistral-7B · GSM8Kaccuracy: 9.9% -> 25.1%Helped
Use top-k, top-p, beam, or temperature decoding instead of greedy decoding (ablation)Mistral-7B · GSM8Kaccuracy: 9.9% -> 4.9%; 6.4%; 6.7%; 7.5%Hurt
Use confidence-weighted path aggregation instead of selecting the maximum-confidence path (ablation)CoT-decoding on GSM8K · GSM8Kaccuracy: 25.1% -> 25.3%Helped
Add CoT-decoding to greedy decodingMistral-7B pretrained · MultiArithaccuracy: 14.3 -> 45.7Helped
Add CoT-decoding to greedy decodingMistral-7B instruction-tuned · Year Parityaccuracy: 62.2 -> 73.5Helped
Add CoT-decoding to greedy decodingPaLM-2 Large · Coin Flip (2 rounds)accuracy: 70.0 -> 94.0Helped
Add CoT-decoding to greedy decodingPaLM-2 Large · Sports Understandingaccuracy: 58.8 -> 58.0Hurt
Add CoT-decoding to greedy decodingPaLM-2 Large · Object Countingaccuracy: 36.0 -> 39.2Helped
Add confidence-weighted path aggregation to zero-shot CoT promptingMistral-7B · GSM8Kaccuracy: 39.4% -> 48.4%Helped
Add confidence-weighted path aggregation to zero-shot CoT promptingPaLM-2 Large · GSM8Kaccuracy: 85.3% -> 87.0%Helped
Increase the number of top alternative first-step tokens considered (ablation)CoT-decoding · Reasoning benchmarksaccuracyHelped
Increase the number of top alternative first-step tokens considered (ablation)CoT-decoding on instruction-tuned models · Reasoning benchmarksaccuracyNo clear effect

Surprising findings

Limitations

Experimental setup

Datasets: GSM8K MultiArith Year Parity (celebrity birth years) Coin Flip Web of Lies Multi-step Arithmetic (BIG-Bench Hard) Sports Understanding Object Counting

Benchmarks: GSM8K MultiArith Year Parity Coin Flip Web of Lies Multi-step Arithmetic Sports Understanding Object Counting

Metrics: accuracy

Baselines: Greedy decoding Top-k sampling Nucleus sampling Beam search Temperature sampling Self-consistency Zero-shot CoT prompting Few-shot CoT prompting

Builds on: chain-of-thought prompting self-consistency zero-shot CoT instruction tuning

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