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Program Induction by Rationale Generation : Learning to Solve and Explain Algebraic Word Problems

24 Pith papers cite this work, alongside 29 external citations. Polarity classification is still indexing.

24 Pith papers citing it
29 external citations · Pith
abstract

Solving algebraic word problems requires executing a series of arithmetic operations---a program---to obtain a final answer. However, since programs can be arbitrarily complicated, inducing them directly from question-answer pairs is a formidable challenge. To make this task more feasible, we solve these problems by generating answer rationales, sequences of natural language and human-readable mathematical expressions that derive the final answer through a series of small steps. Although rationales do not explicitly specify programs, they provide a scaffolding for their structure via intermediate milestones. To evaluate our approach, we have created a new 100,000-sample dataset of questions, answers and rationales. Experimental results show that indirect supervision of program learning via answer rationales is a promising strategy for inducing arithmetic programs.

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representative citing papers

PAL: Program-aided Language Models

cs.CL · 2022-11-18 · conditional · novelty 8.0

PAL improves few-shot reasoning accuracy by having LLMs generate executable programs rather than text-based chains of thought, outperforming much larger models on math and logic benchmarks.

Stay Focused: Problem Drift in Multi-Agent Debate

cs.CL · 2025-02-26 · unverdicted · novelty 7.0

The paper defines and measures 'problem drift' in multi-agent LLM debates across tasks and proposes DRIFTJudge and DRIFTPolicy as baselines to detect and reduce it.

Large Language Models as Optimizers

cs.LG · 2023-09-07 · unverdicted · novelty 7.0

Large language models can optimize by being prompted with histories of past solutions and scores to propose better ones, producing prompts that raise accuracy up to 8% on GSM8K and 50% on Big-Bench Hard over human-designed baselines.

Preserving Long-Tailed Expert Information in Mixture-of-Experts Tuning

cs.LG · 2026-04-24 · unverdicted · novelty 7.0

A new SFT framework for MoE models combines bias-driven sparsification with gated condenser experts to retain long-tailed expert information, outperforming DenseMixer and ESFT by over 2.5% on math reasoning and commonsense QA benchmarks.

HyperAdapt: Simple High-Rank Adaptation

cs.LG · 2025-09-23 · unverdicted · novelty 6.0

HyperAdapt performs parameter-efficient fine-tuning by row- and column-wise diagonal scaling to induce high-rank updates with only n+m trainable parameters.

Solving math word problems with process- and outcome-based feedback

cs.LG · 2022-11-25 · unverdicted · novelty 6.0

On GSM8K, outcome-based supervision achieves similar final-answer error rates to process-based with less labeling, but process-based or learned reward models are needed to reach 3.4% reasoning error among correct solutions.

Training Verifiers to Solve Math Word Problems

cs.LG · 2021-10-27 · conditional · novelty 6.0

Introduces GSM8K dataset and demonstrates that verifier-based selection of solutions from multiple candidates outperforms fine-tuning baselines on math word problems.

When AI Says It Feels

cs.AI · 2026-06-04 · unverdicted · novelty 5.0

LLMs trained via rubric-based self-rewarding RL with GRPO enhanced feeling expression and sycophancy robustness but degraded truthful QA performance.

NVIDIA Nemotron 3: Efficient and Open Intelligence

cs.CL · 2025-12-24 · unverdicted · novelty 5.0

NVIDIA releases the Nemotron 3 model family with hybrid Mamba-Transformer architecture, LatentMoE, NVFP4 training, MTP layers, and multi-environment RL post-training for reasoning and agentic tasks.

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