Challenge: Existing methods for fact verification rely on graph feature or data augmentation but fail to investigate evidence correlation between statement and table effectively.
Approach: They propose a self-labeled keypoint alignment model to explore correlation between statement and table . they propose integrating a mixture-of experts block to integrate interacted information .
Outcome: The proposed model outperforms the state-of-the-art models and captures interpretable evidence words on three widely-studied datasets.

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Table-Text Alignment: Explaining Claim Verification Against Tables in Scientific Papers (2025.findings-emnlp)

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Challenge: predicting the final label alone is insufficient and offers limited interpretability.
Approach: They propose to reframe table–text alignment as an explanation task requiring models to identify the table cells essential for claim verification.
Outcome: The proposed taxonomy improves claim verification performance and most LLMs fail to recover human-aligned rationales, suggesting that their predictions do not stem from faithful reasoning.
Table-based Fact Verification with Self-adaptive Mixture of Experts (2022.findings-acl)

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Challenge: Existing research focuses on table-based fact verification, but a new trend is extending the scope to structured evidence.
Approach: They propose a mixture-of-experts neural network to recognize and execute different types of reasoning . they use a management module to decide the contribution of each expert network to the verification result .
Outcome: The proposed method achieves 85.1% accuracy on the TabFact dataset, comparable with the previous state-of-the-art models.
Table Fact Verification with Structure-Aware Transformer (2020.emnlp-main)

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Challenge: Pre-trained models cannot be used to encode semi-structured data because of their nature.
Approach: They propose a Structure-Aware Transformer which injects table structural information into mask . method could combine symbolic and linguistic reasoning, they propose .
Outcome: The proposed method outperforms baseline on a large scale table verification dataset.
Structural Encoding and Pre-training Matter: Adapting BERT for Table-Based Fact Verification (2021.eacl-main)

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Challenge: Existing research on fact verification focuses on unstructured textual evidence, but it is still underexplored.
Approach: They propose to use a table-based language model to verify textual statements . they use cell embeddings and numerical information to improve accuracy .
Outcome: The proposed method outperforms the state-of-the-art model on question answering tasks even without modeling numerical information.
Logic-level Evidence Retrieval and Graph-based Verification Network for Table-based Fact Verification (2021.emnlp-main)

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Challenge: Existing methods leverage programs that contain rich logical information to enhance the verification process.
Approach: They propose a table-based fact verification task as an evidence retrieval framework . they retrieve logic-level program-like evidence from the given table and a statement as supplementary evidence for the table .
Outcome: The proposed method is able to retrieve logic-level program-like evidence from a table and a statement as supplementary evidence for the table.
Joint Verification and Reranking for Open Fact Checking Over Tables (2021.acl-long)

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Challenge: Existing research into structured data has focused on textual data and the closed-domain setting is not reflective of real-world fact checking tasks.
Approach: They propose a joint reranking-and-verification model which fuses evidence documents in the verification component and a heuristic retrieval baseline.
Outcome: The proposed model achieves comparable performance to the closed-domain state-of-the-art on the TabFact dataset and significantly improves over a heuristic retrieval baseline.
A Multi-Level Attention Model for Evidence-Based Fact Checking (2021.findings-acl)

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Challenge: Recent state-of-the-art approaches have developed increasingly sophisticated models based on graph structures.
Approach: They propose a simple model that can be trained on sequence structures and can benefit from joint training.
Outcome: The proposed model outperforms the graph-based models on a large-scale dataset for Fact Extraction and VERification.
Exploring Listwise Evidence Reasoning with T5 for Fact Verification (2021.acl-short)

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Challenge: Existing methods for fact verification use pretrained sequence-to-sequence transformers for sentence selection and label prediction.
Approach: They propose a framework for fact verification that leverages pretrained sequence-to-sequence transformer models for sentence selection and label prediction.
Outcome: The proposed framework scores higher than the second place approach on the blind test set . the proposed framework can be useful for a broader range of NLP tasks, the authors say .
PASTA: Table-Operations Aware Fact Verification via Sentence-Table Cloze Pre-training (2022.emnlp-main)

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Challenge: Table-based fact verification has attracted a lot of attention recently due to the lack of datasets that can be used to pre-train language models to be aware of common table operations.
Approach: They propose a table-based fact verification tool that pre-trains language models to be aware of common table operations such as aggregating a column or comparing tuples.
Outcome: The proposed method outperforms previous methods on two table-based fact verification datasets TabFact and SEM-TAB- FACTS.
Learn to Combine Linguistic and Symbolic Information for Table-based Fact Verification (2020.coling-main)

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Challenge: Existing methods for fact verification lack attention to combine linguistic and symbolic information.
Approach: They propose a graph-based reasoning approach that learns to combine linguistic and symbolic information effectively.
Outcome: The proposed method can combine linguistic and symbolic information effectively.

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