Question-Adaptive Graph Learning for Multi-hop Retrieval Augmented Generation
Pith reviewed 2026-05-18 07:08 UTC · model grok-4.3
The pith
A question-adaptive graph neural network on multi-level knowledge graphs improves retrieval accuracy for multi-hop questions in RAG systems.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The authors show that question-guided message passing across intra- and inter-level edges on a multi-information-level knowledge graph produces representations that capture complex semantic structure and reduce the effect of irrelevant retrieval noise, with the largest gains appearing after pre-training on synthesized multi-hop data and especially for high-hop questions.
What carries the argument
Quest-GNN, which performs question-guided intra- and inter-level message passing on the Multi-L KG to enable multi-granular aggregation while limiting noise.
If this is right
- Question-guided aggregation reduces noise in multi-target retrieval.
- Pre-training on synthesized multi-hop examples transfers to real multi-hop scenarios.
- Performance gains are largest on high-hop questions, reaching 33.8 percent improvement.
- Multi-granular information is aggregated more effectively than in standard graph or embedding approaches.
Where Pith is reading between the lines
- The same question-guided passing idea could be tested on single-hop or non-retrieval reasoning tasks where noise is also a problem.
- Alternative graph-construction heuristics that do not rely on fixed information levels might be compared to the Multi-L KG design.
- Pairing Quest-GNN with existing reranking or query-rewriting modules could produce additive improvements in full RAG pipelines.
Load-bearing premise
The synthesized data generation strategies produce pre-training examples whose distribution matches real multi-hop questions closely enough for the Quest-GNN to learn robust, generalizable representations that transfer to downstream retrieval tasks.
What would settle it
A controlled experiment that measures retrieval accuracy on a set of real high-hop questions when the model is pre-trained on the paper's synthesized data versus trained from scratch or on mismatched synthetic data would test whether the distribution match is necessary for the reported gains.
Figures
read the original abstract
Retrieval-augmented generation (RAG) has demonstrated its ability to enhance Large Language Models (LLMs) by integrating external knowledge sources. However, multi-hop questions, which require the identification of multiple knowledge targets to form a synthesized answer, raise new challenges for RAG systems. Under the multi-hop settings, existing methods often struggle to fully understand the questions with complex semantic structures and are susceptible to irrelevant noise during the retrieval of multiple information targets. To address these limitations, we propose a novel graph representation learning framework for multi-hop question retrieval. We first introduce a Multi-information Level Knowledge Graph (Multi-L KG) to model various information levels for a more comprehensive understanding of multi-hop questions. Based on this, we design a Question-Adaptive Graph Neural Network (Quest-GNN) for representation learning on the Multi-L KG. Quest-GNN employs intra/inter-level message passing mechanisms, and in each message passing the information aggregation is guided by the question, which not only facilitates multi-granular information aggregation but also significantly reduces the impact of noise. To enhance its ability to learn robust representations, we further propose two synthesized data generation strategies for pre-training the Quest-GNN. Extensive experimental results demonstrate the effectiveness of our framework in multi-hop scenarios, especially in high-hop questions the improvement can reach 33.8\%. The code is available at: https://github.com/Jerry2398/QSGNN.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces a Multi-information Level Knowledge Graph (Multi-L KG) to represent multi-hop questions at varying granularities and a Question-Adaptive Graph Neural Network (Quest-GNN) that performs intra- and inter-level message passing guided by the input question. Two strategies for synthesizing pre-training data are proposed to improve representation robustness, and the framework is evaluated on multi-hop retrieval tasks with a reported peak improvement of 33.8% on high-hop questions.
Significance. If the reported gains prove robust to baseline choice, statistical testing, and pre-training distribution shift, the work would offer a concrete graph-based mechanism for reducing noise in multi-hop retrieval while preserving multi-granular information. The public release of code at https://github.com/Jerry2398/QSGNN is a positive contribution to reproducibility.
major comments (3)
- [Abstract / Experiments] Abstract and Experiments section: the headline claim of a 33.8% improvement on high-hop questions is presented without naming the strongest baseline, reporting dataset splits, or providing statistical significance, which prevents direct assessment of whether the gain is attributable to the Multi-L KG + Quest-GNN design rather than experimental setup.
- [Pre-training / §4] Pre-training subsection: no distributional diagnostics (e.g., hop-count histograms, embedding-space overlap, or KL divergence between synthetic and real multi-hop queries) are supplied to support the assumption that the two synthesized data strategies produce examples whose semantic structure and noise profile transfer to downstream real-world questions; this assumption is load-bearing for the central effectiveness claim.
- [Ablation studies] Ablation studies: the contribution of the question-guided aggregation is not isolated from the effect of pre-training data; an ablation that trains Quest-GNN from scratch on the target task (or with random guidance) is needed to establish that the adaptive message-passing mechanism, rather than data artifacts, drives the reported gains.
minor comments (2)
- [Method] Notation for the Multi-L KG levels and the intra/inter-level aggregation functions could be clarified with an explicit diagram or additional equations showing how question embeddings modulate the message-passing weights.
- [Figures] Figure captions and axis labels in the experimental plots should explicitly state the metric (e.g., recall@K or exact-match) and the number of runs used for error bars.
Simulated Author's Rebuttal
We thank the referee for the constructive and detailed feedback. We agree that additional clarifications and analyses will strengthen the manuscript and address the concerns about robustness and attribution of gains. We respond to each major comment below and indicate planned revisions.
read point-by-point responses
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Referee: [Abstract / Experiments] Abstract and Experiments section: the headline claim of a 33.8% improvement on high-hop questions is presented without naming the strongest baseline, reporting dataset splits, or providing statistical significance, which prevents direct assessment of whether the gain is attributable to the Multi-L KG + Quest-GNN design rather than experimental setup.
Authors: We agree that the abstract and experiments would benefit from greater precision to allow direct assessment. In the revised manuscript we will explicitly name the strongest baseline (the best-performing prior method on each dataset), report the exact dataset splits and high-hop question subsets used, and include statistical significance (means and standard deviations over multiple runs together with paired t-test p-values). These additions will make clear that the reported 33.8% improvement on high-hop questions is measured against the strongest available baseline under the same evaluation protocol. revision: yes
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Referee: [Pre-training / §4] Pre-training subsection: no distributional diagnostics (e.g., hop-count histograms, embedding-space overlap, or KL divergence between synthetic and real multi-hop queries) are supplied to support the assumption that the two synthesized data strategies produce examples whose semantic structure and noise profile transfer to downstream real-world questions; this assumption is load-bearing for the central effectiveness claim.
Authors: We acknowledge that explicit distributional diagnostics would provide stronger support for the transferability assumption. While downstream task gains constitute our primary evidence, we will add hop-count histograms comparing the two synthetic pre-training distributions to the real multi-hop queries in the evaluation sets. We will also briefly discuss how the synthesis strategies were designed to preserve semantic structure and noise characteristics. If space permits we will include a simple embedding-space overlap statistic; otherwise the histograms and design rationale will be included in the revised §4. revision: partial
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Referee: [Ablation studies] Ablation studies: the contribution of the question-guided aggregation is not isolated from the effect of pre-training data; an ablation that trains Quest-GNN from scratch on the target task (or with random guidance) is needed to establish that the adaptive message-passing mechanism, rather than data artifacts, drives the reported gains.
Authors: This is a fair request for isolating the source of improvement. We will add two new ablation settings in the revised experiments: (1) Quest-GNN trained from scratch on the target multi-hop retrieval task without any pre-training, and (2) the same architecture using random (non-question-adaptive) guidance during intra- and inter-level message passing. These results will be reported alongside the existing ablations to demonstrate that the question-adaptive aggregation mechanism contributes gains beyond those attributable to the synthesized pre-training data alone. revision: yes
Circularity Check
No significant circularity; empirical framework with independent experimental validation
full rationale
The paper introduces a Multi-L KG and Quest-GNN with question-adaptive message passing, plus two synthesized data strategies for pre-training, then reports empirical gains on multi-hop retrieval tasks. No equations, fitted parameters renamed as predictions, or self-citation chains are present in the provided text that would reduce the claimed improvements to inputs by construction. The derivation chain consists of architectural design choices and data generation heuristics whose effectiveness is tested externally via experiments rather than being tautological. This qualifies as a self-contained empirical contribution against external benchmarks.
Axiom & Free-Parameter Ledger
invented entities (2)
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Multi-information Level Knowledge Graph (Multi-L KG)
no independent evidence
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Question-Adaptive Graph Neural Network (Quest-GNN)
no independent evidence
Lean theorems connected to this paper
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
QSGNN employs intra/inter-level message passing mechanisms, and in each message passing the information aggregation is guided by the query... αi,j = Sim(hl−1i Wqα, hl−1j Wkα), βi,j = Sim(qWqβ, (hl−1i || hl−1j)Wkβ)
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IndisputableMonolith/Foundation/AlexanderDuality.leanalexander_duality_circle_linking unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We first introduce a Multi-information Level Knowledge Graph (Multi-L KG) to model various information levels... entity set O, chunk set C, document set D
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
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Specifically, this appendix is organized as follows
12 Under review as a conference paper at ICLR 2026 A APPENDIX This supplementary material provides additional details on the proposed method and experimental results that could not be included in the main manuscript due to page limitations. Specifically, this appendix is organized as follows. • Sec. A.1 provides the use of Large Language Models (LLMs). • ...
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The BM25 retrieval algorithm is implemented as BM25S (L `u, 2024)
13 Under review as a conference paper at ICLR 2026 Table 7: Dataset statistics MuSiQue 2Wiki HotpotQA #Entity 118,021 53,153 86,147 #Chunk 57,887 23,023 39,830 #Document 15,803 7,403 9,811 #Pre-train 1-hop QA 91,621 52,122 73,128 #Pre-train 2-hop QA 58,923 12,097 20,619 #Pre-train QA 150,544 64,219 93,747 #Fine-tune 2-hop QA 270 782 1000 #Fine-tune 3-hop ...
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is implemented with the official code acting as the retrieval server in IRCoT (Trivedi et al., 2022b). As for the text embedding based model, we use the NV-Embed-v2- 7B and GTE-Qwen2-7B-Instruct from Huggingface (Wolf et al., 2019). For the all the GNN based methods and graph search based methods we use their official implementations. Experimental Setting...
work page 2019
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iii)For text embedding based methods, embeddings are calculated for all the documents within our datasets, we retrieve the 5 most relevant documents as (Jimenez Gutierrez et al., 2024). iv)For GFM-RAG, we use the official model implementation where we pre-train and fine-tune the GNN on our corpora and all the hyperparameters are set as (Luo et al.,
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on our datasets, all the settings are the same as the official settings (Mavromatis & Karypis, 2024). vi)For GraphRAG and LightRAG, the implementations are based on the official codes, and the hyperparameters are set as HippoRAG2 (Guti ´errez et al.,
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and GPT-4o-mini (OpenAI., 2024)) for QA task. 14 Under review as a conference paper at ICLR 2026 A.4 QA PERFORMANCE ONGPT-4O-MINI Table 8: QA performance on GPT-4o-mini. Average means the average performance across all the datasets. We highlight the best results withboldand the second best results with under line . MuSiQue 2Wiki HotpotQA Average Method EM...
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[36]
The best result is shown inbold
A.5 MULTI-HOPPERFORMANCE ON2WIKI Table 9: Performance of different hop numbers on 2Wiki. The best result is shown inbold. 2Wiki(Recall@5) 2Wiki(F1) 2Wiki(EM) Method 2-hop 4-hop 2-hop 4-hop 2-hop 4-hop NV-Embed-v2 81.40 63.52 63.21 42.19 59.28 23.35 GFM-RAG 83.37 56.09 64.36 33.11 54.44 18.82 RAPTOR 85.91 64.75 66.13 40.14 53.71 20.12 GraphRAG - - 67.99 39...
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chunk” means performing QA task with chunk. “w/o inter
As for the chunk retrieval (QSGNN + chunk, w/o inter or w/o doc), we retrieve the top 10 most relevant chunks for QA and we only report the EM and F1 score since we have no ground truth for chunk retrieval. We find that QSGNN(chunk) does not perform as well as QSGNN. It can be attributed to two factors: i) QSGNN is not directly trained on chunk labels. ii...
work page 2026
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The receptive field limits the potential of QSGNN
We find that 1-layer QSGNN (one intra-level + one inter-level) have limited performance and the gap between 2-layer QSGNN becomes bigger as the hop number increase, it is because 1-layer QSGNN can only aggregate 2-hop information. The receptive field limits the potential of QSGNN. The 2-layer QSGNN achieves the best performance among 2,3,4 hop questions b...
work page 2023
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shows limited benefits, because excessive easy negatives fail to provide meaningful guidance for QSGNN training. 16 Under review as a conference paper at ICLR 2026 Table 12: The influence of negative sampling number. MuSiQue(Recall@5) MuSiQue(F1) MuSiQue(EM) Method 2-hop 3-hop 4-hop 2-hop 3-hop 4-hop 2-hop 3-hop 4-hop HippoRAG2 79.89 73.96 48.32 53.01 44....
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We conduct experiments on the MuSiQue dataset. As for the pre-training scale, the results show that insufficient pre-training data leads to sub-optimal performance across all the dimensions. As the amount of pre-training data increases, the performance of QSGNN gets better, although the marginal improvement decreases. As for the information dimension, the...
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Figure 5 shows QSGNN achieving perfect recall@5 while retrieval of HippoRAG2 is inaccurate. For the 4-hop question about Andrew Deveaux’s birthplace, QSGNN integrates evi- dence across multiple documents and each document describes one key evidence for the question: i)biographical data (“born in South Carolina”),ii)state capital history (“Columbia became ...
work page 2026
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Another version says that it was named by Juan Crespí on account of a pair of springs, the Kuruvungna Springs (Serra Springs), that were reminiscent of the tears that Saint Monica shed over her son's early impiety. Answer :August 3, 1769 HippoRAG2 Retrieval : Vilaiyaadu Mankatha\nFour songs were included as bonus tracks to the single release of \"Vilaiyaa...
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was a Spanish explorer and conquistador. He completed the first known navigation of the entire length of the Amazon River, which initially was named \"Rio de Orellana.\" He also founded the city of Guayaquil in what is now Ecuador. Jive Records\nJive Records was an American record label under the RCA Music Group formed in 1981 by Zomba Records. Formerly h...
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Charleston, South Carolina\nAlthough the city lost the status of state capital to Columbia in 1786, Charleston became even more prosperous in the plantation-dominated economy of the post- Revolutionary years. The invention of the cotton gin in 1793 revolutionized the processing of this crop, making short-staple cotton profitable. It was more easily grown ...
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[45]
The city serves as the county seat of Richland County, and a portion of the city extends into neighboring Lexington County. It is the center of the Columbia metropolitan statistical area, which had a population of 767,598 as of the 2010 United States Census, growing to 817,488 by July 1, 2016, according to 2015 U.S. Census estimates. The name Columbia is ...
work page 2010
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[46]
Figure 7 demonstrates QSGNN’s failure to retrieve documents containing “Freikorps” due to a misspelled query terminology (“free crops” should be “Freikorps”, we changed the “free crops” to “Freikorps” then QSGNN could retrieve correctly). This spelling error caused QSGNN to prioritize non-critical entities like “democratic government” and “Germany”. We al...
work page 2026
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[47]
The movement started with the first election for the Reichstag; those elected were called "les députés protestataires\", and until the fall of Bismarck in 1890, they were the only deputies elected by the Alsatians to the German parliament demanding the return of those territories to France. At the last Reichstag election in Strasbourg and its periphery, t...
work page 1914
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[48]
In Germany, the revolt is often called People's Uprising in East Germany (Volksaufstand in der DDR)
It turned into a widespread uprising against the German Democratic Republic government the next day. In Germany, the revolt is often called People's Uprising in East Germany (Volksaufstand in der DDR). It involved more than one million people in about 700 localities. 17 June was declared a day of national remembrance in West Germany up until reunification...
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[49]
History of Germany (1945–1990)\nThe intended governing body of Germany was called the Allied Control Council. The commanders - in - chief exercised supreme authority in their respective zones and acted in concert on questions affecting the whole country. Berlin, which lay in the Soviet (eastern) sector, was also divided into four sectors with the Western ...
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Between 1919 and 1933 there was no single name for the new state that gained widespread acceptance, which is precisely why the old name ``Deutsches Reich ''continued in existence even though hardly anyone used it during the Weimar period. To the right of the spectrum the politically engaged rejected the new democratic model and cringed to see the honour o...
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[51]
Figure 8 reveals QSGNN’s limitation in processing specific term (“San Clemente”, “Fuser”, “Alberto”), which may not be well represented by QSGNN since they are absent from 20 Under review as a conference paper at ICLR 2026 Query: When was the person who Messi's goals in Copa del Rey compared to get signed by Barcelona? QSGNN Retrieval: FC Barcelona\nDespi...
work page 2026
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Lionel Messi\nMessi opened the 2015 -- 16 season by scoring twice from free kicks in Barcelona's 5 -- 4 victory (after extra time) over Sevilla in the UEFA Super Cup. A subsequent 5 -- 1 aggregate defeat against Athletic Bilbao in the Supercopa de España ended their expressed hopes of a second sextuple, with Messi scoring his side's only goal. On 16 Septe...
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Now playing in all competitions, he befriended his teammates, among whom were Cesc Fàbregas and Gerard Piqué. After completing his growth hormone treatment aged 14, Messi became an integral part of the ``Baby Dream Team '', Barcelona's greatest - ever youth side. During his first full season (2002 -- 03), he was top scorer with 36 goals in 30 games for th...
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[54]
Figure 9 shows a typical bad case for QSGNN. In this case the term like “Messi” and “Barcelona” dwarf the key evidence “Diego Maradona, who Messi can bring comparison to”. The sequential dependency between finding “Diego Maradona” and subsequent evidence (“June 1982 transfer record”) further complicates retrieval. It is difficult for query alignment to id...
work page 1982
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[55]
through query decomposition and iterative retrieval may mitigate the problem. However, the first solution is a tricky strategy and even may compromise the performance since subgraph sampling will lead to information loss. The second solution introduces CoT into framework, which is beyond the design topic of QSGNN. We will leave the combination of these tw...
work page 2026
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[56]
It plays Hindi, English and regional songs. Radio City recently forayed into New Media in May 2008 with the launch of a music portal - PlanetRadiocity.com that offers music related news, videos, songs, and other music-related features. Sentence Extraction Prompt Figure 10:Sentence extraction prompt for OpenIE. Goal: Your task is to extract named entities ...
work page 2008
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[57]
It plays Hindi, English and regional songs. Radio City recently forayed into New Media in May 2008 with the launch of a music portal - PlanetRadiocity.com that offers music related news, videos, songs, and other music-related features. Entity Extraction Prompt Figure 11:Entity extraction prompt for OpenIE. A.11 PROMPTS FORSYNTHESIZEDPRE-TRAININGDATA The p...
work page 2008
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[58]
22 Under review as a conference paper at ICLR 2026 Goal: Example: - Output -: {"triples": [ ["Radio City", "located in", "India"], ["Radio City", "is", "private FM radio station"], ["Radio City", "started on", "3 July 2001"], ["Radio City", "plays songs in", "Hindi"], ["Radio City", "plays songs in", "English"], ["Radio City", "forayed into", "New Media"]...
work page 2026
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[59]
It plays Hindi, English and regional songs. Radio City recently forayed into New Media in May 2008 with the launch of a music portal - PlanetRadiocity.com that offers music related news, videos, songs, and other music- related features. Named_entities: ["Radio City", "India", "3 July 2001", "Hindi", "English", "May 2008", "PlanetRadiocity.com"] Triple Ext...
work page 2008
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[60]
It plays Hindi, English and regional songs. Radio City recently forayed into New Media in May 2008 with the launch of a music portal - PlanetRadiocity.com that offers music related news, videos, songs, and other music-related features. Named_entities: ["Radio City", "India", "3 July 2001", "Hindi", "English", "May 2008", "PlanetRadiocity.com"] One-hop Que...
work page 2008
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[61]
Entity list two: ['December 2012', 'May 2013', 'Lionel Messi', 'Bayern Munich', 'Champions League', 'Copa del Rey', 'FC Barcelona', 'Pep Guardiola', 'Spanish', 'Tito Vilanova', 'Real Madrid', 'July'] Common entity list: ['Real Madrid', 'Champions League', 'Copa del Rey', 'FC Barcelona'] - Output -: {"question-answer-doc triples": [ { "question": "Which co...
work page 2012
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