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2101.00098__body_000013__cite_0013__start_1576__ref_4f73c48736ce5f7ea6122853ea73b71c90f21940 | 2,101.00098 | 2,108.13004 | 2101.00098__body_000013 | 13 | Single-View 3D Reconstruction | 3 | subsection | {{cite:4f73c48736ce5f7ea6122853ea73b71c90f21940}} | 1,576 | 1,625 | 2101.00098__ref__4f73c48736ce5f7ea6122853ea73b71c90f21940 | Single-view 3D reconstruction aims at generating the 3D model of an object based on a single 2D projection of it.
Currently, deep Convolutional Neural Networks (ConvNets) based methods have achieved the highest accuracy in various benchmarks by using both low-level image cues, e.g., texture, and high-level semantic inf... | Single-view 3D reconstruction aims at generating the 3D model of an object based on a single 2D projection of it.
Currently, deep Convolutional Neural Networks (ConvNets) based methods have achieved the highest accuracy in various benchmarks by using both low-level image cues, e.g., texture, and high-level semantic inf... | A few existing work <OTHER_CIT>, <OTHER_CIT>, <TARGET_CIT> explored teeth reconstruction from X-ray, however, they either targeted at single tooth or worked with synthesized images only, which cannot serve our propose of patient-specific modeling and demonstration. | Single-view 3D reconstruction aims at generating the 3D model of an object based on a single 2D projection of it.
Currently, deep Convolutional Neural Networks (ConvNets) based methods have achieved the highest accuracy in various benchmarks by using both low-level image cues, e.g., texture, and high-level semantic inf... | CAD tools have been widely applied in dentistry to improve the design of dental restorations, e.g. crowns, dental implants and orthodontic appliances <OTHER_CIT>, <OTHER_CIT>.
Specifically, models of patients' oral cavity are created from digital 3D scanning, based on which dentists produce a virtual design of restorat... | 2101.00098__body_000012|2101.00098__body_000013|2101.00098__body_000014 | [SECTION] Single-View 3D Reconstruction
[CONTEXT]
CAD tools have been widely applied in dentistry to improve the design of dental restorations, e.g. crowns, dental implants and orthodontic appliances <OTHER_CIT>, <OTHER_CIT>.
Specifically, models of patients' oral cavity are created from digital 3D scanning, based on ... | Single-View 3D Reconstruction | 21 | 4 | 21 | 4 |
2101.00318__body_000000__cite_0001__start_190__ref_bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6 | 2,101.00318 | 2,101.00316 | 2101.00318__body_000000 | 0 | Introduction | 1 | section | {{cite:bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6}} | 190 | 239 | 2101.00318__ref__bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6 | The goal of unsupervised domain adaptation (UDA) is to transfer knowledge learned from a label-rich domain to new unlabeled target domains {{cite:1acfae6bca3fdb27d8d59584061ffec7f03f6dbf}}, {{cite:bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6}}, {{cite:80f1542b4f6be99c38124cf8d89f12c46f726db2}}, {{cite:f7f967ce275cef99377c2... | The goal of unsupervised domain adaptation (UDA) is to transfer knowledge learned from a label-rich domain to new unlabeled target domains <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>, <OTHER_CIT>. The conventional adversarial training and maximum mean discrepancy (MMD) based methods propose to align the marginal distributio... | The goal of unsupervised domain adaptation (UDA) is to transfer knowledge learned from a label-rich domain to new unlabeled target domains <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>, <OTHER_CIT>. | The goal of unsupervised domain adaptation (UDA) is to transfer knowledge learned from a label-rich domain to new unlabeled target domains <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>, <OTHER_CIT>. The conventional adversarial training and maximum mean discrepancy (MMD) based methods propose to align the marginal distributio... | The goal of unsupervised domain adaptation (UDA) is to transfer knowledge learned from a label-rich domain to new unlabeled target domains <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>, <OTHER_CIT>. The conventional adversarial training and maximum mean discrepancy (MMD) based methods propose to align the marginal distributio... | 2101.00318__body_000000|2101.00318__body_000001 | [SECTION] Introduction
[CONTEXT]
The goal of unsupervised domain adaptation (UDA) is to transfer knowledge learned from a label-rich domain to new unlabeled target domains <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>, <OTHER_CIT>. The conventional adversarial training and maximum mean discrepancy (MMD) based methods propose... | Introduction | 47 | 33 | 47 | 33 |
2101.00318__body_000007__cite_0004__start_713__ref_afc677dcb24bfbd1086d38328af76b63147eca49 | 2,101.00318 | 2,101.00317 | 2101.00318__body_000007 | 7 | Related Work | 2 | section | {{cite:afc677dcb24bfbd1086d38328af76b63147eca49}} | 713 | 762 | 2101.00318__ref__afc677dcb24bfbd1086d38328af76b63147eca49 | In recent years, big data drives the fast development of deep learning, which has transformed many fields, such as computer vision and medical image analysis {{cite:d50524f3e7c6b16647d8937c77673179f212f5e1}}, {{cite:72d97836bc394a2fe9a10425616c367d56dd91dc}}, {{cite:ee125d0add2d5b4c2e8662674bf596030716d8af}}. Deep lear... | In recent years, big data drives the fast development of deep learning, which has transformed many fields, such as computer vision and medical image analysis <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. Deep learning has drastically transformed the way in which features are extracted and then fed into a prediction model into... | The effectiveness of deep learning has been demonstrated in many computer vision tasks, such as classification, detection, and segmentation <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>, <OTHER_CIT>. | In recent years, big data drives the fast development of deep learning, which has transformed many fields, such as computer vision and medical image analysis <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. Deep learning has drastically transformed the way in which features are extracted and then fed into a prediction model into... | We propose to adaptively explore the subtype-wise conditional and label shifts in UDA without the subtype labels, and explicitly enforce the subtype-aware compactness.
We systematically investigate the cases with or without the prior information on subtype numbers. Our reliability-path based sub-graph scheme can effec... | 2101.00318__body_000006|2101.00318__body_000007|2101.00318__body_000008 | [SECTION] Related Work
[CONTEXT]
We propose to adaptively explore the subtype-wise conditional and label shifts in UDA without the subtype labels, and explicitly enforce the subtype-aware compactness.
We systematically investigate the cases with or without the prior information on subtype numbers. Our reliability-pat... | Related Work | 38 | 18 | 38 | 18 |
2101.00318__body_000008__cite_0004__start_401__ref_bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6 | 2,101.00318 | 2,101.00316 | 2101.00318__body_000008 | 8 | Related Work | 2 | section | {{cite:bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6}} | 401 | 450 | 2101.00318__ref__bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6 | Compared with over one million images of the ImageNet dataset, the collection of large-scale medical data is challenging for clinical applications {{cite:8983ec628ed591cd40b890b1fbdb99b426b44ec2}}, {{cite:635670ba2af89d8ec96efc078523d4ce21c1b367}}, {{cite:880f4a590226730f16fbdab70c42d1262fcb329c}}. To counter this, UDA... | Compared with over one million images of the ImageNet dataset, the collection of large-scale medical data is challenging for clinical applications <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. To counter this, UDA has gradually become popular <OTHER_CIT>, <TARGET_CIT>, which aims to match covariate shift (i.e., only {{formula... | To counter this, UDA has gradually become popular <OTHER_CIT>, <TARGET_CIT>, which aims to match covariate shift (i.e., only {{formula:180c5693-c3ba-462a-a8d9-a2697cac2adb}} shift). | Compared with over one million images of the ImageNet dataset, the collection of large-scale medical data is challenging for clinical applications <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. To counter this, UDA has gradually become popular <OTHER_CIT>, <TARGET_CIT>, which aims to match covariate shift (i.e., only {{formula... | In recent years, big data drives the fast development of deep learning, which has transformed many fields, such as computer vision and medical image analysis <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. Deep learning has drastically transformed the way in which features are extracted and then fed into a prediction model into... | 2101.00318__body_000007|2101.00318__body_000008|2101.00318__body_000009 | [SECTION] Related Work
[CONTEXT]
In recent years, big data drives the fast development of deep learning, which has transformed many fields, such as computer vision and medical image analysis <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. Deep learning has drastically transformed the way in which features are extracted and the... | Related Work | 47 | 33 | 47 | 33 |
2101.00318__body_000009__cite_0001__start_123__ref_bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6 | 2,101.00318 | 2,101.00316 | 2101.00318__body_000009 | 9 | Related Work | 2 | section | {{cite:bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6}} | 123 | 172 | 2101.00318__ref__bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6 | Recently, pseudo labels of a target domain have been widely used in UDA {{cite:f7f967ce275cef99377c211e705a86701255ac7d}}, {{cite:bf13f619b2f5c5b48b1fce9303bfa625d0ec56d6}}. The pseudo labels are used to estimate target class centers {{cite:df8bc75366f50351459e663e50d0e779e13bb912}}, and the results are enforced to mat... | Recently, pseudo labels of a target domain have been widely used in UDA <OTHER_CIT>, <TARGET_CIT>. The pseudo labels are used to estimate target class centers <OTHER_CIT>, and the results are enforced to match the source class centers. Contrastive Adaptation Network <OTHER_CIT> is proposed to estimate contrastive domai... | Recently, pseudo labels of a target domain have been widely used in UDA <OTHER_CIT>, <TARGET_CIT>. | Recently, pseudo labels of a target domain have been widely used in UDA <OTHER_CIT>, <TARGET_CIT>. The pseudo labels are used to estimate target class centers <OTHER_CIT>, and the results are enforced to match the source class centers. Contrastive Adaptation Network <OTHER_CIT> is proposed to estimate contrastive domai... | Compared with over one million images of the ImageNet dataset, the collection of large-scale medical data is challenging for clinical applications <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. To counter this, UDA has gradually become popular <OTHER_CIT>, <OTHER_CIT>, which aims to match covariate shift (i.e., only {{formula:... | 2101.00318__body_000008|2101.00318__body_000009|2101.00318__body_000010 | [SECTION] Related Work
[CONTEXT]
Compared with over one million images of the ImageNet dataset, the collection of large-scale medical data is challenging for clinical applications <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. To counter this, UDA has gradually become popular <OTHER_CIT>, <OTHER_CIT>, which aims to match cova... | Related Work | 47 | 33 | 47 | 33 |
2101.00554__body_000029__cite_0004__start_333__ref_faa977effe6d97463e6555c0f15b8cd95d3f5478 | 2,101.00554 | 2,103.09959 | 2101.00554__body_000029 | 29 | Discussion | 4 | section | {{cite:faa977effe6d97463e6555c0f15b8cd95d3f5478}} | 333 | 382 | 2101.00554__ref__faa977effe6d97463e6555c0f15b8cd95d3f5478 | The present approach can be extended to enforce physical constraints and properties {{cite:4ef32b9d307ee1ede0bffc475a658dc16d0f3eaf}}, {{cite:df5f49a88cac2d1ff898a179117f072a4d245888}}, {{cite:d79ccb85d3c4d51dfaea989591d2fd080e552f50}}, {{cite:1e0fb6dc211228badc19d12f59934dc2dad3bca6}}.
For example, evolutional deep ne... | The present approach can be extended to enforce physical constraints and properties <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>.
For example, evolutional deep neural network <TARGET_CIT> has been able to enforce the divergence free constraint for incompressible flow.
Another possible extension is the constructio... | For example, evolutional deep neural network <TARGET_CIT> has been able to enforce the divergence free constraint for incompressible flow. | The present approach can be extended to enforce physical constraints and properties <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>.
For example, evolutional deep neural network <TARGET_CIT> has been able to enforce the divergence free constraint for incompressible flow.
Another possible extension is the constructio... | Since CNNs have a large collection of toolsets from the image processing community, the present reconstruction approach is significant from the point of view of merging image processing with sensor data analytics.
This perspective now allows engineers and scientists to move through the wealth of local and global measur... | 2101.00554__body_000028|2101.00554__body_000029|2101.00554__body_000030 | [SECTION] Discussion
[CONTEXT]
Since CNNs have a large collection of toolsets from the image processing community, the present reconstruction approach is significant from the point of view of merging image processing with sensor data analytics.
This perspective now allows engineers and scientists to move through the w... | Discussion | 94 | 66 | 94 | 66 |
2101.00781__body_000020__cite_0002__start_700__ref_59a56bbc07457c008eb7195144de915f16217459 | 2,101.00781 | 2,101.04849 | 2101.00781__body_000020 | 20 | Metric Learning for Recommendation | 2 | subsection | {{cite:59a56bbc07457c008eb7195144de915f16217459}} | 700 | 749 | 2101.00781__ref__59a56bbc07457c008eb7195144de915f16217459 | The pioneering work CML {{cite:e8affa40d3bd960293739b9730861caa2b93bde8}} learns a joint user-item metric space for capturing fine-grained user preference. It minimizes the distance between each user-item interaction in Euclidean space, i.e., {{formula:6701411e-0715-4e54-8610-fae56dcc9082}} , where {{formula:bb300fc4-9... | The pioneering work CML <OTHER_CIT> learns a joint user-item metric space for capturing fine-grained user preference. It minimizes the distance between each user-item interaction in Euclidean space, i.e., {{formula:6701411e-0715-4e54-8610-fae56dcc9082}} , where {{formula:bb300fc4-99a8-4801-8090-08a95703c669}} and {{fo... | PMLAM <TARGET_CIT> is presented to generate adaptive margins for the training triples in the metric space. | The pioneering work CML <OTHER_CIT> learns a joint user-item metric space for capturing fine-grained user preference. It minimizes the distance between each user-item interaction in Euclidean space, i.e., {{formula:6701411e-0715-4e54-8610-fae56dcc9082}} , where {{formula:bb300fc4-99a8-4801-8090-08a95703c669}} and {{fo... | The goal of metric learning is to learn a distance metric that assigns smaller distances between similar pairs, and larger distances between dissimilar pairs. Metric learning has also been adopted in recommender systems <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT> to address the issue that inner product similarity violates t... | 2101.00781__body_000019|2101.00781__body_000020|2101.00781__body_000021 | [SECTION] Metric Learning for Recommendation
[CONTEXT]
The goal of metric learning is to learn a distance metric that assigns smaller distances between similar pairs, and larger distances between dissimilar pairs. Metric learning has also been adopted in recommender systems <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT> to ad... | Metric Learning for Recommendation | 83 | 53 | 83 | 53 |
2101.01484__body_000003__cite_0000__start_422__ref_61fafec3862656e9796f4cde22c8a1569c4b5492 | 2,101.01484 | 2,103.04479 | 2101.01484__body_000003 | 3 | Introduction | 1 | section | {{cite:61fafec3862656e9796f4cde22c8a1569c4b5492}} | 422 | 471 | 2101.01484__ref__61fafec3862656e9796f4cde22c8a1569c4b5492 | The flexible and cost-effective wireless backhaul has become an attractive alternative to wired backhaul for small cell networks. However, wireless backhaul is vulnerable to wiretapping due to the intrinsic broadcasting nature of wireless channels. Therefore, the issue of secure backhaul links has aroused wide interest... | The flexible and cost-effective wireless backhaul has become an attractive alternative to wired backhaul for small cell networks. However, wireless backhaul is vulnerable to wiretapping due to the intrinsic broadcasting nature of wireless channels. Therefore, the issue of secure backhaul links has aroused wide interest... | Considering unreliable wireless backhaul connections, the authors in <TARGET_CIT> investigated the secrecy performance of cooperative single carrier HetNets. | The flexible and cost-effective wireless backhaul has become an attractive alternative to wired backhaul for small cell networks. However, wireless backhaul is vulnerable to wiretapping due to the intrinsic broadcasting nature of wireless channels. Therefore, the issue of secure backhaul links has aroused wide interest... | For the transmission security of wireless links from the EC servers to the users, the existing physical layer secure (PLS) mechanism, which has been studied intensively and extensively <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, is sufficient. However, the PLS mechanism is complicated because it could ensure th... | 2101.01484__body_000002|2101.01484__body_000003|2101.01484__body_000004 | [SECTION] Introduction
[CONTEXT]
For the transmission security of wireless links from the EC servers to the users, the existing physical layer secure (PLS) mechanism, which has been studied intensively and extensively <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, is sufficient. However, the PLS mechanism is comp... | Introduction | 151 | 114 | 151 | 114 |
2101.01369__body_000005__cite_0000__start_213__ref_e2598720f43c44d89e6c5febd43b99e169e8454e | 2,101.01369 | 2,101.01369 | 2101.01369__body_000005 | 5 | Introduction | 1 | section | {{cite:e2598720f43c44d89e6c5febd43b99e169e8454e}} | 213 | 262 | 2101.01369__ref__e2598720f43c44d89e6c5febd43b99e169e8454e | To tackle the aforementioned problems in the SDSD receiver, in a preliminary work, we proposed a splitting-detection joint-decision (SDJD) receiver for ultrasonic IBCs to lower the complexity of the SDSD receiver {{cite:e2598720f43c44d89e6c5febd43b99e169e8454e}}. We have numerically compared the performance of the SDSD... | To tackle the aforementioned problems in the SDSD receiver, in a preliminary work, we proposed a splitting-detection joint-decision (SDJD) receiver for ultrasonic IBCs to lower the complexity of the SDSD receiver <TARGET_CIT>. We have numerically compared the performance of the SDSD and SDJD receivers in the case of pe... | To tackle the aforementioned problems in the SDSD receiver, in a preliminary work, we proposed a splitting-detection joint-decision (SDJD) receiver for ultrasonic IBCs to lower the complexity of the SDSD receiver <TARGET_CIT>. | To tackle the aforementioned problems in the SDSD receiver, in a preliminary work, we proposed a splitting-detection joint-decision (SDJD) receiver for ultrasonic IBCs to lower the complexity of the SDSD receiver <TARGET_CIT>. We have numerically compared the performance of the SDSD and SDJD receivers in the case of pe... | This paper shows that the SDSD receiver can be used to improve the BER performance of either CD or ED receiver in IBCs, under perfect channel estimation. However, the SDSD receiver requires to implement both the CD and ED receivers, which lead to complicated hardware design for implanted devices. Additionally, the maxi... | 2101.01369__body_000004|2101.01369__body_000005|2101.01369__body_000006 | [SECTION] Introduction
[CONTEXT]
This paper shows that the SDSD receiver can be used to improve the BER performance of either CD or ED receiver in IBCs, under perfect channel estimation. However, the SDSD receiver requires to implement both the CD and ED receivers, which lead to complicated hardware design for implant... | Introduction | 101 | 71 | 101 | 71 |
2101.01890__body_000007__cite_0000__start_272__ref_6d34e089f18e7434db18f5f7e023a81c003e408b | 2,101.0189 | 2,101.00193 | 2101.01890__body_000007 | 7 | Introduction | 1 | section | {{cite:6d34e089f18e7434db18f5f7e023a81c003e408b}} | 272 | 321 | 2101.01890__ref__6d34e089f18e7434db18f5f7e023a81c003e408b | In other words, they provide an unified overview of “spectral intersection counting” via different perspectives. With these established, we can construct a boundary correction term for Toeplitz operators on manifolds with boundary with compact group actions in the sequel {{cite:6d34e089f18e7434db18f5f7e023a81c003e408b}... | In other words, they provide an unified overview of “spectral intersection counting” via different perspectives. With these established, we can construct a boundary correction term for Toeplitz operators on manifolds with boundary with compact group actions in the sequel <TARGET_CIT>. In particular, the correction term... | With these established, we can construct a boundary correction term for Toeplitz operators on manifolds with boundary with compact group actions in the sequel <TARGET_CIT>. | In other words, they provide an unified overview of “spectral intersection counting” via different perspectives. With these established, we can construct a boundary correction term for Toeplitz operators on manifolds with boundary with compact group actions in the sequel <TARGET_CIT>. In particular, the correction term... | {{formula:26f67d1f-7de9-4c65-a49c-5edd98a23f82}}
In other words, they provide an unified overview of “spectral intersection counting” via different perspectives. With these established, we can construct a boundary correction term for Toeplitz operators on manifolds with boundary with compact group actions in the seq... | 2101.01890__body_000006|2101.01890__body_000007|2101.01890__body_000008 | [SECTION] Introduction
[CONTEXT]
{{formula:26f67d1f-7de9-4c65-a49c-5edd98a23f82}}
In other words, they provide an unified overview of “spectral intersection counting” via different perspectives. With these established, we can construct a boundary correction term for Toeplitz operators on manifolds with boundary wit... | Introduction | 116 | 99 | 116 | 99 |
2101.01890__body_000230__cite_0000__start_191__ref_6d34e089f18e7434db18f5f7e023a81c003e408b | 2,101.0189 | 2,101.00193 | 2101.01890__body_000230 | 230 | Equivariant {{formula:05a24012-e71e-4941-8e17-aff56c43b24c}} -invariants | 9 | section | {{cite:6d34e089f18e7434db18f5f7e023a81c003e408b}} | 191 | 240 | 2101.01890__ref__6d34e089f18e7434db18f5f7e023a81c003e408b | Remark 9.11 A consequence of Theorem REF will be illustrated in forming the boundary correction terms of the equivariant Toeplitz index theorem on odd-dimensional manifolds with boundary in {{cite:6d34e089f18e7434db18f5f7e023a81c003e408b}}.
| Remark 9.11 A consequence of Theorem REF will be illustrated in forming the boundary correction terms of the equivariant Toeplitz index theorem on odd-dimensional manifolds with boundary in <TARGET_CIT>.
| Remark 9.11 A consequence of Theorem REF will be illustrated in forming the boundary correction terms of the equivariant Toeplitz index theorem on odd-dimensional manifolds with boundary in <TARGET_CIT>. | Remark 9.11 A consequence of Theorem REF will be illustrated in forming the boundary correction terms of the equivariant Toeplitz index theorem on odd-dimensional manifolds with boundary in <TARGET_CIT>.
| Let {{formula:586906db-6990-4269-bd37-22deabbfce01}} Since {{formula:64865a05-7e2c-4510-b355-416b8b1d9a19}} is of trace class, it is compact and its equivariant Maslov triple index
{{formula:3868943e-b7e1-4697-82b0-38b923109c13}} is well-defined for {{formula:2f6defca-477d-488f-af20-4bea67ddb80e}}
For {{formula:abe... | 2101.01890__body_000229|2101.01890__body_000230|2101.01890__body_000231 | [SECTION] Equivariant {{formula:05a24012-e71e-4941-8e17-aff56c43b24c}} -invariants
[CONTEXT]
Let {{formula:586906db-6990-4269-bd37-22deabbfce01}} Since {{formula:64865a05-7e2c-4510-b355-416b8b1d9a19}} is of trace class, it is compact and its equivariant Maslov triple index
{{formula:3868943e-b7e1-4697-82b0-38b923109... | Equivariant {{formula:05a24012-e71e-4941-8e17-aff56c43b24c}} -invariants | 116 | 99 | 116 | 99 |
2101.01890__body_000319__cite_0000__start_191__ref_6d34e089f18e7434db18f5f7e023a81c003e408b | 2,101.0189 | 2,101.00193 | 2101.01890__body_000319 | 319 | Equivariant {{formula:05a24012-e71e-4941-8e17-aff56c43b24c}} -invariants | 9 | section | {{cite:6d34e089f18e7434db18f5f7e023a81c003e408b}} | 191 | 240 | 2101.01890__ref__6d34e089f18e7434db18f5f7e023a81c003e408b | Remark 9.11 A consequence of Theorem REF will be illustrated in forming the boundary correction terms of the equivariant Toeplitz index theorem on odd-dimensional manifolds with boundary in {{cite:6d34e089f18e7434db18f5f7e023a81c003e408b}}.
| Remark 9.11 A consequence of Theorem REF will be illustrated in forming the boundary correction terms of the equivariant Toeplitz index theorem on odd-dimensional manifolds with boundary in <TARGET_CIT>.
| Remark 9.11 A consequence of Theorem REF will be illustrated in forming the boundary correction terms of the equivariant Toeplitz index theorem on odd-dimensional manifolds with boundary in <TARGET_CIT>. | Remark 9.11 A consequence of Theorem REF will be illustrated in forming the boundary correction terms of the equivariant Toeplitz index theorem on odd-dimensional manifolds with boundary in <TARGET_CIT>.
| Let {{formula:586906db-6990-4269-bd37-22deabbfce01}} Since {{formula:64865a05-7e2c-4510-b355-416b8b1d9a19}} is of trace class, it is compact and its equivariant Maslov triple index
{{formula:3868943e-b7e1-4697-82b0-38b923109c13}} is well-defined for {{formula:2f6defca-477d-488f-af20-4bea67ddb80e}}
For {{formula:abe... | 2101.01890__body_000318|2101.01890__body_000319 | [SECTION] Equivariant {{formula:05a24012-e71e-4941-8e17-aff56c43b24c}} -invariants
[CONTEXT]
Let {{formula:586906db-6990-4269-bd37-22deabbfce01}} Since {{formula:64865a05-7e2c-4510-b355-416b8b1d9a19}} is of trace class, it is compact and its equivariant Maslov triple index
{{formula:3868943e-b7e1-4697-82b0-38b923109... | Equivariant {{formula:05a24012-e71e-4941-8e17-aff56c43b24c}} -invariants | 116 | 99 | 116 | 99 |
2101.02162__body_000018__cite_0003__start_2019__ref_f48e25a1fee8e81e446aecb88f279dd85c11ec4e | 2,101.02162 | 2,101.03352 | 2101.02162__body_000018 | 18 | Electronic structure | 3 | subsection | {{cite:f48e25a1fee8e81e446aecb88f279dd85c11ec4e}} | 2,019 | 2,068 | 2101.02162__ref__f48e25a1fee8e81e446aecb88f279dd85c11ec4e | The electronic band structure and density of states (DOS) within GGA+{{formula:4dd2897c-873a-46d3-bd22-60e472601a4c}}
are depicted in Fig. REF . The electronic band structure
shows two key features: a Dirac cone at the {{formula:5ab0572b-bd48-4bec-bb14-6800566ca25e}} point
and the existence of two flat-bands at {{form... | The electronic band structure and density of states (DOS) within GGA+{{formula:4dd2897c-873a-46d3-bd22-60e472601a4c}}
are depicted in Fig. REF . The electronic band structure
shows two key features: a Dirac cone at the {{formula:5ab0572b-bd48-4bec-bb14-6800566ca25e}} point
and the existence of two flat-bands at {{form... | Within this
understanding, it is clear that an increase of {{formula:ef366ab4-c604-4d60-a0a5-11f4cb4fb049}} will force the
electrons into a more localized state implying an increased effect
of the atomic SOC <TARGET_CIT>, <OTHER_CIT>.
{{figure:e8434a24-7baf-420d-a118-5ca615b77a7d}} | The electronic band structure and density of states (DOS) within GGA+{{formula:4dd2897c-873a-46d3-bd22-60e472601a4c}}
are depicted in Fig. REF . The electronic band structure
shows two key features: a Dirac cone at the {{formula:5ab0572b-bd48-4bec-bb14-6800566ca25e}} point
and the existence of two flat-bands at {{form... | The {{formula:dfd0b54b-4b92-4cc2-b2b9-0bffd6f63d0a}} , {{formula:2e89334d-6cb7-4fd4-9e1a-a8c7d515002e}} and {{formula:30c096fe-248d-4a22-b2ee-457f07c99d74}} values were found to be {{formula:5dbb8b54-2552-4372-a753-78c669a70864}}
meV, {{formula:a63e6d03-6101-46ef-ad79-a55557a7fdc5}} meV and {{formula:48fe4cd8-b1c5-... | 2101.02162__body_000017|2101.02162__body_000018|2101.02162__body_000019 | [SECTION] Electronic structure
[CONTEXT]
The {{formula:dfd0b54b-4b92-4cc2-b2b9-0bffd6f63d0a}} , {{formula:2e89334d-6cb7-4fd4-9e1a-a8c7d515002e}} and {{formula:30c096fe-248d-4a22-b2ee-457f07c99d74}} values were found to be {{formula:5dbb8b54-2552-4372-a753-78c669a70864}}
meV, {{formula:a63e6d03-6101-46ef-ad79-a55557... | Electronic structure | 27 | 5 | 27 | 5 |
2101.02161__body_000061__cite_0003__start_2173__ref_fe3c100a31a4e7906fb7f23137fbe45f930bed45 | 2,101.02161 | 2,101.02169 | 2101.02161__body_000061 | 61 | Results and Discussion | 4 | section | {{cite:fe3c100a31a4e7906fb7f23137fbe45f930bed45}} | 2,173 | 2,222 | 2101.02161__ref__fe3c100a31a4e7906fb7f23137fbe45f930bed45 | We would like to first discuss briefly about the previous calculated values of {{formula:61ae4ace-899c-48cf-ac1c-4971808450ca}} in both the Cl{{formula:eb54ef2d-b508-4e5d-a934-9c10e111a811}} and Au{{formula:e9a0dd66-eba2-4dcc-9f68-d671f78bd1e1}} ions to understand the need
of doing new theoretical results by includi... | We would like to first discuss briefly about the previous calculated values of {{formula:61ae4ace-899c-48cf-ac1c-4971808450ca}} in both the Cl{{formula:eb54ef2d-b508-4e5d-a934-9c10e111a811}} and Au{{formula:e9a0dd66-eba2-4dcc-9f68-d671f78bd1e1}} ions to understand the need
of doing new theoretical results by includi... | There are three major limitations of this calculation: (i) It uses NR theory,
however, later theoretical studies have exhibited quite large relativistic effects in the determination of {{formula:b4a8067f-589f-4be1-9cd5-56ce4d858201}} values of the negative ions
<OTHER_CIT>, <OTHER_CIT>, <TARGET_CIT>. | We would like to first discuss briefly about the previous calculated values of {{formula:61ae4ace-899c-48cf-ac1c-4971808450ca}} in both the Cl{{formula:eb54ef2d-b508-4e5d-a934-9c10e111a811}} and Au{{formula:e9a0dd66-eba2-4dcc-9f68-d671f78bd1e1}} ions to understand the need
of doing new theoretical results by includi... | with the orbital quantum number {{formula:0a48c188-2eab-4b33-9fde-c605ab7b29b8}} of the system, {{formula:471305d6-c6d0-43b2-b193-df09226e3e6c}} , {{formula:b24dc853-3c26-4216-98b4-177d2e08fac5}} , and the exponential integral {{formula:fc406c9c-f428-4ec2-8411-6af5003a819d}} .
{{table:63a9e284-9c28-4f9d-b177-c49abf346... | 2101.02161__body_000060|2101.02161__body_000061|2101.02161__body_000062 | [SECTION] Results and Discussion
[CONTEXT]
with the orbital quantum number {{formula:0a48c188-2eab-4b33-9fde-c605ab7b29b8}} of the system, {{formula:471305d6-c6d0-43b2-b193-df09226e3e6c}} , {{formula:b24dc853-3c26-4216-98b4-177d2e08fac5}} , and the exponential integral {{formula:fc406c9c-f428-4ec2-8411-6af5003a819d}}... | Results and Discussion | 34 | 0 | 35 | 0 |
2101.02420__body_000009__cite_0002__start_274__ref_28b1e5ac3687aee2ebb56a84790717ee689d41f9 | 2,101.0242 | 2,101.08435 | 2101.02420__body_000009 | 9 | Related Works | 1 | subsection | {{cite:28b1e5ac3687aee2ebb56a84790717ee689d41f9}} | 274 | 323 | 2101.02420__ref__28b1e5ac3687aee2ebb56a84790717ee689d41f9 | With the tremendous success of deep learning techniques on physical layer communications, significant improvement becomes possible for the aforementioned search strategies {{cite:0bac1ec62384252319ffabaacd581aa10d24a311}}, {{cite:87e438eeee958ef13f5a3148842e3d762801ccdf}}, {{cite:28b1e5ac3687aee2ebb56a84790717ee689d41f... | With the tremendous success of deep learning techniques on physical layer communications, significant improvement becomes possible for the aforementioned search strategies <OTHER_CIT>, <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>. Regarding the ILS problem, researchers have proposed a deep learning based SD (DL-SD) algorithm... | With the tremendous success of deep learning techniques on physical layer communications, significant improvement becomes possible for the aforementioned search strategies <OTHER_CIT>, <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>. | With the tremendous success of deep learning techniques on physical layer communications, significant improvement becomes possible for the aforementioned search strategies <OTHER_CIT>, <OTHER_CIT>, <TARGET_CIT>, <OTHER_CIT>. Regarding the ILS problem, researchers have proposed a deep learning based SD (DL-SD) algorithm... | Attempts that employ best-first search (BeFS) or stack algorithms to overcome the drawbacks of DFS and BrFS have been investigated in the literature <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. Among these variants, A* like BeFS is the most promising variant wh... | 2101.02420__body_000008|2101.02420__body_000009|2101.02420__body_000010 | [SECTION] Related Works
[CONTEXT]
Attempts that employ best-first search (BeFS) or stack algorithms to overcome the drawbacks of DFS and BrFS have been investigated in the literature <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>, <OTHER_CIT>. Among these variants, A* like Be... | Related Works | 86 | 51 | 86 | 51 |
2101.02931__body_000003__cite_0003__start_2821__ref_7c521c2435aba614111e633170861b7e2461fefa | 2,101.02931 | 2,101.02931 | 2101.02931__body_000003 | 3 | Our contribution | 1 | subsection | {{cite:7c521c2435aba614111e633170861b7e2461fefa}} | 2,821 | 2,870 | 2101.02931__ref__7c521c2435aba614111e633170861b7e2461fefa | In this paper, we also take a Bayesian approach, viewing the unknowns as random variables and tackling the problem as one of Bayesian modeling and inference . The idea is again (as in BTD-HIRLS)
to impose column sparsity jointly on the factors in a hierarchical, two-level manner. This is achieved through a Bayesian hie... | In this paper, we also take a Bayesian approach, viewing the unknowns as random variables and tackling the problem as one of Bayesian modeling and inference . The idea is again (as in BTD-HIRLS)
to impose column sparsity jointly on the factors in a hierarchical, two-level manner. This is achieved through a Bayesian hie... | A preliminary version can be found in <TARGET_CIT>. | In this paper, we also take a Bayesian approach, viewing the unknowns as random variables and tackling the problem as one of Bayesian modeling and inference . The idea is again (as in BTD-HIRLS)
to impose column sparsity jointly on the factors in a hierarchical, two-level manner. This is achieved through a Bayesian hie... | where {{formula:57b0f811-f25e-4a7c-93cd-45396fcea60b}} is an {{formula:7849c8b9-6add-42f7-9dd4-e43d9b3f9404}} matrix of rank {{formula:e83ad186-37ba-409f-84f6-65e7ff98eeb5}} , {{formula:23dc6257-196f-4048-980f-8a04107661c7}} is a nonzero column {{formula:2ba0f658-6fd6-4d07-9a8d-c230dd525a51}} -vector and {{formula:9... | 2101.02931__body_000002|2101.02931__body_000003|2101.02931__body_000004 | [SECTION] Our contribution
[CONTEXT]
where {{formula:57b0f811-f25e-4a7c-93cd-45396fcea60b}} is an {{formula:7849c8b9-6add-42f7-9dd4-e43d9b3f9404}} matrix of rank {{formula:e83ad186-37ba-409f-84f6-65e7ff98eeb5}} , {{formula:23dc6257-196f-4048-980f-8a04107661c7}} is a nonzero column {{formula:2ba0f658-6fd6-4d07-9a8d-... | Our contribution | 17 | 11 | 17 | 11 |
2101.02811__body_000579__cite_0001__start_752__ref_44d5058cfb73e8238686543bda977cf7bdf2567c | 2,101.02811 | 2,102.11702 | 2101.02811__body_000579 | 579 | Free abelian groups of finite rank | 1 | subsection | {{cite:44d5058cfb73e8238686543bda977cf7bdf2567c}} | 752 | 801 | 2101.02811__ref__44d5058cfb73e8238686543bda977cf7bdf2567c | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Ajtai and Szemerédi showed a related result:The lower bound in Theorem REF has recently been improved by Linial and Shraibman <OTHER_CIT> and by Green <TARGET_CIT>. | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Theorem REF guarantees such a set for sufficiently large {{formula:a08c0efa-fa0c-4f47-8126-f154c4c760cb}} .
Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formul... | 2101.02811__body_000578|2101.02811__body_000579|2101.02811__body_000580 | [SECTION] Free abelian groups of finite rank
[CONTEXT]
Theorem REF guarantees such a set for sufficiently large {{formula:a08c0efa-fa0c-4f47-8126-f154c4c760cb}} .
Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-8... | Free abelian groups of finite rank | 12 | 0 | 13 | 0 |
2101.02811__body_001127__cite_0001__start_752__ref_44d5058cfb73e8238686543bda977cf7bdf2567c | 2,101.02811 | 2,102.11702 | 2101.02811__body_001127 | 1,127 | Free abelian groups of finite rank | 1 | subsection | {{cite:44d5058cfb73e8238686543bda977cf7bdf2567c}} | 752 | 801 | 2101.02811__ref__44d5058cfb73e8238686543bda977cf7bdf2567c | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Ajtai and Szemerédi showed a related result:The lower bound in Theorem REF has recently been improved by Linial and Shraibman <OTHER_CIT> and by Green <TARGET_CIT>. | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Theorem REF guarantees such a set for sufficiently large {{formula:a08c0efa-fa0c-4f47-8126-f154c4c760cb}} .
Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formul... | 2101.02811__body_001126|2101.02811__body_001127|2101.02811__body_001128 | [SECTION] Free abelian groups of finite rank
[CONTEXT]
Theorem REF guarantees such a set for sufficiently large {{formula:a08c0efa-fa0c-4f47-8126-f154c4c760cb}} .
Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-8... | Free abelian groups of finite rank | 12 | 0 | 13 | 0 |
2101.02811__body_001611__cite_0001__start_752__ref_44d5058cfb73e8238686543bda977cf7bdf2567c | 2,101.02811 | 2,102.11702 | 2101.02811__body_001611 | 1,611 | Free abelian groups of finite rank | 1 | subsection | {{cite:44d5058cfb73e8238686543bda977cf7bdf2567c}} | 752 | 801 | 2101.02811__ref__44d5058cfb73e8238686543bda977cf7bdf2567c | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Ajtai and Szemerédi showed a related result:The lower bound in Theorem REF has recently been improved by Linial and Shraibman <OTHER_CIT> and by Green <TARGET_CIT>. | Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formula:e44a42dd-540b-4dbc-9301-2bea83c9bb26}}
is the set of all rotations, translations, and scalings of a fixed tr... | Theorem REF guarantees such a set for sufficiently large {{formula:a08c0efa-fa0c-4f47-8126-f154c4c760cb}} .
Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-834c-fff00aeefd2c}} ), the set of configurations {{formul... | 2101.02811__body_001610|2101.02811__body_001611|2101.02811__body_001612 | [SECTION] Free abelian groups of finite rank
[CONTEXT]
Theorem REF guarantees such a set for sufficiently large {{formula:a08c0efa-fa0c-4f47-8126-f154c4c760cb}} .
Now we turn to a specific example where the configurations have a simple geometric description.
For the Gaussian integers ({{formula:d7e7471a-9932-4186-8... | Free abelian groups of finite rank | 12 | 0 | 13 | 0 |
Citation Contexts for Scientific Evidence Retrieval
Dataset Description
This dataset contains 9,920 citation occurrences extracted from English-language scientific papers. Each row represents one occurrence of a citation in a source paper and links it to the cited paper. It provides four increasingly broad representations of the citation context:
- the sentence containing the citation (
context_c1_sentence); - the complete source paragraph (
context_c2_paragraph); - a local window containing the source body item and available neighboring body items (
context_c3_window); and - the same wider context with section information (
context_c4_section_aware).
In the processed context fields, the citation represented by the row is replaced with <TARGET_CIT>, while other citations are replaced with <OTHER_CIT>. The dataset is intended for experiments that compare citation-context scopes in passage retrieval, citation grounding, scientific claim verification, and related information-retrieval tasks.
Dataset summary
| Property | Value |
|---|---|
| Rows / citation occurrences | 9,920 |
| Unique source papers | 3,198 |
| Unique cited papers | 2,637 |
| Unique citation IDs | 9,920 |
| Data files | 1 CSV file |
| Predefined splits | Train only (no official evaluation split) |
| Approximate CSV size | 163.8 MB |
Dataset Structure
Data instance
{
"citation_id": "2101.00098__body_000013__cite_0013__start_1576__ref_...",
"source_paper_id": "2101.00098",
"cited_paper_id": "2108.13004",
"source_section": "Single-View 3D Reconstruction",
"citation_marker": "{{cite:...}}",
"paragraph_with_target_marker": "... <OTHER_CIT>, <TARGET_CIT> ...",
"context_c1_sentence": "... <TARGET_CIT> ...",
"context_c2_paragraph": "...",
"context_c3_window": "...",
"context_c4_section_aware": "[SECTION] Single-View 3D Reconstruction\n\n[CONTEXT]\n...",
"candidate_atomic_passage_count": 21,
"candidate_contextual_passage_count": 4
}
The example is abbreviated; the CSV contains all fields listed below.
Fields
| Field | Type | Description |
|---|---|---|
citation_id |
string | Unique identifier for the citation occurrence. |
source_paper_id |
string | Identifier of the paper containing the citation. |
cited_paper_id |
string | Identifier of the cited paper. |
source_body_item_id |
string | Identifier of the source body item containing the citation. |
body_item_order |
integer | Position of the body item in the source paper. |
source_section |
string, nullable | Source section title. Missing for 321 rows. |
source_sec_number |
string | Section number as represented in the source data. Kept as text because section numbers can be hierarchical. |
source_sec_type |
string, nullable | Structural type: section, subsection, or subsubsection; missing for 598 rows. |
citation_marker |
string | Original normalized citation marker in {{cite:...}} form. |
span_start |
integer | Start offset of the target marker in raw_source_paragraph. |
span_end |
integer | End offset of the target marker in raw_source_paragraph. |
reference_id |
string | Identifier of the corresponding bibliography entry in the source paper. |
raw_source_paragraph |
string | Original extracted paragraph, retaining normalized citation markers and other extraction placeholders. |
paragraph_with_target_marker |
string | Paragraph in which the row's citation is <TARGET_CIT> and all other citations are <OTHER_CIT>. |
context_c1_sentence |
string | Sentence containing <TARGET_CIT>. |
context_c2_paragraph |
string | Full paragraph containing <TARGET_CIT>. |
context_c3_window |
string | Wider context assembled from the target body item and available neighboring body items. |
context_c3_component_body_item_ids |
string | Pipe-delimited body-item IDs used to construct context_c3_window. |
context_c4_section_aware |
string | Section-aware representation formatted with [SECTION] and [CONTEXT] labels. |
context_c4_raw_section_title |
string, nullable | Raw section title used for C4; missing for 321 rows. |
candidate_atomic_passage_count |
integer | Number of retrieval-eligible atomic passages associated with the cited paper for this instance. |
candidate_contextual_passage_count |
integer | Number of retrieval-eligible contextual passages associated with the cited paper for this instance. |
candidate_total_atomic_passage_count |
integer | Total atomic passage count associated with the cited paper before the relevant eligibility restriction. |
candidate_total_contextual_passage_count |
integer | Total contextual passage count associated with the cited paper before the relevant eligibility restriction. |
Context representations
| Name | Scope | Median length (characters) | Range (characters) |
|---|---|---|---|
| C1 | Citation sentence | 208 | 12–2,772 |
| C2 | Citation paragraph | 949 | 14–241,559 |
| C3 | Local body-item window | 2,424 | 110–242,089 |
| C4 | Section-aware local window | 2,464.5 | 110–242,280 |
Very long contexts reflect unusually long source body items in the extracted corpus and have not been truncated to a model-specific token limit.
Dataset Creation
Each input citation occurrence was matched to its source body item and bibliography reference. The four contexts were then constructed at sentence, paragraph, neighboring-body-item, and section-aware scopes. In processed contexts, the selected citation was replaced by <TARGET_CIT> and co-occurring citations by <OTHER_CIT>.
Candidate passage counts describe the retrieval pool linked to the cited paper. The dataset itself does not include passage text, relevance labels, or a gold supporting-passage identifier, so supervised evidence-ranking experiments require an accompanying candidate-passage resource or separately constructed labels.
Limitations and Biases
- The dataset reflects the coverage and extraction quality of its source scientific-paper corpus; it should not be treated as representative of all disciplines, venues, languages, or publication periods.
- Context text can contain extraction artifacts such as
{{formula:...}},{{figure:...}}, and normalized citation markers. - A citation context does not necessarily state a single factual claim, and a cited paper may support only part of the surrounding text.
- The dataset does not provide citation-intent labels, entailment labels, or manually verified evidence annotations.
- Multiple rows can come from the same source or cited paper. Evaluation without paper-level grouping may overestimate generalization.
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