Challenge: Neural Module Networks (NMNs) is an end-to-end differentiable model in the programmer-interpreter paradigm.
Approach: They propose to make the interpreter question-aware and capture the relationship between entities and numbers in both questions and paragraphs.
Outcome: The proposed models outperform the original models on the DROP dataset and are interpertable by nature.

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Teaching Neural Module Networks to Do Arithmetic (2022.coling-1)

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Challenge: Neural Module Networks (NMNs) have limited reasoning abilities and lack numerical reasoning capability.
Approach: They propose to integrate the original question in the interpreter and introduce addition and subtraction modules that perform numerical reasoning over numbers.
Outcome: The proposed methods outperform previous state-of-the-art models on a subset of DROP and achieve competitive reasoning performance.
NumNet: Machine Reading Comprehension with Numerical Reasoning (D19-1)

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Challenge: Existing numerical MRC models are weak in numerical reasoning, such as addition, subtraction, sorting and counting.
Approach: They propose a numerical MRC model that integrates numerical reasoning into existing MRC models and achieves an EM-score of 64.56% on the DROP dataset.
Outcome: The proposed model outperforms all existing machine reading comprehension models by considering the numerical relations among numbers on the DROP dataset.
Complex Numerical Reasoning with Numerical Semantic Pre-training Framework (2025.emnlp-main)

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Challenge: Numerical knowledge graphs (NKGs) are not limited to discrete entity-relation knowledge.
Approach: They propose to combine numerical values and entities to solve multi-hop complex reasoning over incomplete knowledge graphs.
Outcome: The proposed approach handles up to 102 types of complex numerical reasoning queries on three public datasets.
HPE: Answering Complex Questions over Text by Hybrid Question Parsing and Execution (2023.findings-emnlp)

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Challenge: End-to-end neural networks excel at answering natural language questions but fail on complex ones . a proposed framework for question parsing and execution on textual QA is designed to combine the strengths of neural and symbolic methods.
Approach: They propose a framework for question parsing and execution on textual QA . they parse questions into an intermediate representation and use deterministic rules to translate them .
Outcome: The proposed framework outperforms existing methods in supervised, few-shot, and zero-shot settings while preserving its underlying reasoning process.
Modular Visual Question Answering via Code Generation (2023.acl-short)

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Challenge: a framework for visual question answering is based on modular code generation . the scope of reasoning needed for visual questions is vast, and requires many skills .
Approach: They propose a framework that formulates visual question answering as modular code generation.
Outcome: The proposed framework improves accuracy on COVR and GQA datasets by 3% and 2% compared to the few-shot baseline that does not employ code generation.
MarkQA: A large scale KBQA dataset with numerical reasoning (2023.emnlp-main)

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Challenge: Existing KBQA datasets are insufficient for numerical reasoning . existing KBqa datasets lack multi-hop reasoning and numerical reasoning.
Approach: They propose a task that necessitates the ability to perform multi-hop reasoning and numerical reasoning.
Outcome: The proposed task necessitates the ability to perform multi-hop reasoning and numerical reasoning.
Text Modular Networks: Learning to Decompose Tasks in the Language of Existing Models (2021.naacl-main)

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Challenge: Existing approaches to decompose complex tasks into simpler ones do not require annotated decompositions.
Approach: They propose a framework for building interpretable systems that learn to solve complex tasks by decomposing existing models into simpler ones solvable by existing models.
Outcome: The proposed framework is more versatile than existing explainable systems for DROP and HotpotQA datasets, is more robust than state-of-the-art blackbox (uninterpretable) systems, and generates more understandable and trustworthy explanations compared to prior work.
Multi-Step Inference for Reasoning Over Paragraphs (2020.emnlp-main)

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Challenge: Existing models for complex reasoning use symbols or black-box transformers . a compositional model can chain together free-form predicates and logical connectives .
Approach: They propose a compositional model that finds relevant sentences and then chains them together using neural modules.
Outcome: The proposed model improves performance on a recently-introduced dataset.
Exploiting Numerical-Contextual Knowledge to Improve Numerical Reasoning in Question Answering (2022.findings-naacl)

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Challenge: Existing numerical reasoning models overly rely on parametric knowledge at inference time . previous studies show that understanding numbers in text improves numerical reasoning accuracy .
Approach: They propose a numerical reasoning model that leverages parametric knowledge to alleviate this over-reliance on parametric information.
Outcome: The proposed model improves numerical reasoning accuracy and performance in DROP.
Numerical reasoning in machine reading comprehension tasks: are we there yet? (2021.emnlp-main)

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Challenge: Numerical reasoning based machine reading comprehension models have achieved near-human performance on a variety of benchmarks, but are they capable of learning to reason?
Approach: They propose to use a DROP benchmark to measure machine reading comprehension and investigate models that have achieved near-human performance over standard metrics.
Outcome: The DROP benchmark has inspired the design of specialized BERT and embedding the results into a specialized model.

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