Papers with counting

8 papers
Logical Inference for Counting on Semi-structured Tables (2022.acl-srw)

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Challenge: Natural Language Inference (NLI) tasks require numerical understanding to perform a numerical type of inference, such as counting.
Approach: They propose a logical inference system for reasoning between semi-structured tables and texts that uses logical representations as meaning representations and model checking to handle a numerical type of inference.
Outcome: The proposed system can perform inference with numerical comparatives with tables and texts in English.
OPERA: Operation-Pivoted Discrete Reasoning over Text (2022.naacl-main)

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Challenge: Existing methods to predict logical forms ignore the utilization of symbolic operations and lack reasoning ability and interpretability.
Approach: They propose an operation-pivoted discrete reasoning framework that uses symbolic operations as neural modules to facilitate reasoning ability and interpretability.
Outcome: Extensive experiments on DROP and RACENum datasets show the reasoning ability of OPERA.
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.
Multimodal Language Models See Better When They Look Shallower (2025.emnlp-main)

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Challenge: Existing studies show that multimodal large language models extract visual features from the final layers of a pretrained Vision Transformer.
Approach: They propose a feature fusion method that strategically incorporates shallower layers . they propose MLLMs that extract visual features from the final layers of a pretrained Vision Transformer .
Outcome: The proposed method outperforms deep layers on fine-grained visual tasks . it is the first comprehensive study of visual layer selection for MLLMs .
Question Directed Graph Attention Network for Numerical Reasoning over Text (2020.emnlp-main)

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Challenge: Numerical reasoning requires both natural language understanding and arithmetic computation.
Approach: They propose a graph representation for the context of the passage and question needed for numerical reasoning.
Outcome: The proposed model achieves remarkable results in benchmark datasets such as 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.
Extending First-Order Logic for Factual Reasoning over Knowledge Graphs (2026.acl-long)

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Challenge: Existing methods for factual reasoning over knowledge graphs lack support for multiple quantifiers and connectives.
Approach: They propose an extended FOL -structure over knowledge graphs that incorporates comparison predicates and counting quantifiers.
Outcome: The proposed method achieves state-of-the-art on Fact-FOLX-KG, while previous methods experience performance drop on claims requiring comparison and counting.
Mechanistic Interpretability of Large-Scale Counting in LLMs through a System-2 Strategy (2026.findings-acl)

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Challenge: Large language models exhibit systematic limitations in counting tasks due to depth constraints.
Approach: They propose a method that decomposes large counting tasks into smaller, independent sub-problems that the model can reliably solve.
Outcome: The proposed method surpasses architectural limitations and achieves higher accuracy on large-scale counting tasks.

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