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**A**: Additionally, there are no restrictions on the cardinality of the base set A𝐴Aitalic_A.**B**: Unlike classic clone theory, which limits the arities of functions and relations to be finite, our study allows for arity ω𝜔\omegaitalic_ω for both operations and relations**C**: In this paper, we examine various con...
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**A**: In other words, given a k𝑘kitalic_k-tuple of s𝑠sitalic_s-t𝑡titalic_t mincuts, there always exists a k𝑘kitalic_k-tuple on the same set of edges that is in left-right order; each edge occurring with the same multiplicity**B**: Consider now the pairwise-sum and the coverage diversity measures first introduced ...
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**A**: We provide an means to upper bound the probabilities between general spaces using computable non-probabilistic measure covers**B**: We also show how to lower bound information between probabilities over general spaces with information between probabilities over finite sequences using uniformly enumerable disjoi...
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**A**: Training employed early stopping based on validation performance, and images were pre-processed by normalizing them with respect to the dataset’s mean and standard deviation. Data augmentation techniques such as horizontal flipping and random cropping were applied to enhance the dataset. The AdamW optimizer with...
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**A**: Using semantic of foreground objects only to detect OOD samples can often be successful when the OOD samples have some dominant semantics that are different from the ID images**B**: 1. Motivated by this, we introduce a generic framework DFB, in which the model disentangle the foreground and background features ...
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**A**: In many cases, the SSIM is greatly improved by adding the LPDM. Adding the LPDM to LIME, RetinexNet, EnlightenGAN, ZeroDCE, ZeroDCE++ and LLFormer boasts up to a 53.5%, 78.65%, 16.8%, 24.08%, 23.82%, 4.92% SSIM improvement, respectively. LLFormer yields new state-of-the-art color SSIM results on the LOL dataset ...
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**A**: Females, on the other hand, tend to rely more on landmarks for navigation [15]. Individuals with different ethnic and cultural backgrounds also manifest distinct approaches to online information-seeking. A survey investigating information-seeking patterns among international and American graduate students reveal...
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**A**: Computational protein design, also known as protein inverse folding, aims to deduce amino acid sequences given the corresponding atomic coordinates of protein backbones**B**: It directly leverages the pretrained structure model as the backbone, coupled with a non-autoregressive decoder featuring linear MLPs. Th...
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**A**: In LiftNet, we adopt TC layers to progressively lift the dimensions. To demonstrate the effectiveness of such a design, we implement LiftNet variants with fully connected (FC) layers for comparison**B**: We see that in most cases, LiftNet with 2 TC layers achieves more accurate link prediction results than Lift...
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**A**: All discovered nodes are added to a priority queue that orders them according to the priority value. The algorithm then moves to the path with the highest priority that connects the source node to a node i𝑖iitalic_i. This path is then extended to connect the source node to all neighbors of node i𝑖iitalic_i, ca...
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**A**: Thus, in this paper, we focus on the construction methods based on MWD to improve the performance of polar codes under SCL decoding. **B**: The SCL decoding is widely used for polar codes and its performance can approach the ML performance with limited list size [3]**C**: Meanwhile, the MWD is an effective metri...
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**A**: where the inequality follows from our assumption 1/2<p<112𝑝11/2<p<11 / 2 < italic_p < 1**B**: So for this tree we have that the mean depth is given by**C**: Thus we see that when there are signals the weights on leaf nodes are no longer proportional, but skewed further towards the longer branches
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**A**: (2021)**B**: To explore the potential benefits of a diffusion-based approach over a GAN-based approach, we include the state-of-the-art StyleGAN3 as a baseline Karras et al**C**: To allow a fair comparison, we fine-tune a pre-trained StyleGAN3 on the same hardware for the same number of steps. A blind compariso...
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**A**: This capability is crucial for the reconfiguration of scene elements into novel scenes, as depicted in Fig. 3**B**: Here, the input panel allows for adjustments in the attributes of bounding boxes, such as modifying the position and scale of the ’apple’ bounding box prior to composition. The refinement process f...
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**A**: Although our data generator relies on creating a skeleton of convex, ellipsoidal clusters, we have implemented ways to make the cluster shapes more irregular and complex**B**: The first method passes convex clusters through a randomly initialized neural network, making their shapes non-convex and irregular**C**...
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**A**: Figure 3 shows a data preprocessing example. Details pertaining to our pipeline training and inference process, including specifics about the two-stage fine-tuning, such as the learning rate and batch size, as well as the beam search strategy employed during inference, are elaborated in Appendix A.1. **B**: We p...
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**A**: We believe that studying the misspecified case in our paper is a crucial step to remove the Gaussian design assumption and draw complete conclusions about the learning curves of kernel ridge regression (or further, general spectral algorithms). **B**: In addition, we also notice a line of work which studies the ...
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**A**: Table 1: Empirical results and total runtimes (time taken by surface variation computation and simplification) for all tested simplification methods and point clouds**B**: We report the maximum and mean Hausdorff distances between the original meshes, and the meshes reconstructed from the simplified point cloud...
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**A**: Dun et al. [29] propose a novel asynchronous FL framework AsyncDrop that leverages the dropout regularization approach to address the device heterogeneity. Hu et al. [10] introduce a scheduling policy, jointly considering the channel quality and data distribution, that achieves periodic aggregation and fast conv...
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**A**: As shown in Table 4.2, increasing the layer numbers introduces more parameters, but leads to a large improvement in the answering accuracy of ScienceQA’s validation set**B**: We first investigate the number of transformer layers to be inserted by zero-initialized attention in LLaMA-Adapter**C**: There also exist...
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**A**: It can be observed from similarity scores among frames that with temporal grouping, features from different scenes are much easier to distinguish**B**: Besides, attention maps from spatial grounding indicates the alignment between the region and the noun phrase has been learned during the pre-training stage with...
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**A**: (2021). DeepDot and DeepCKA perform poorly, with much lower results than PWCCA and CKA, revealing that maximizing the similarity is not satisfactory for similarity measure purposes.**B**: The results are shown in Table 1**C**: In both language and vision evaluations, CKA achieves better results than PWCCA, consi...
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**A**: In addition, considering the qualitative results in Figure 5, the VP estimator stably detected VP/ADPs in the entire image. Therefore, the VP estimator can precisely detect VP/ADPs from a fisheye image. **B**: Overall, the VP estimator detected the VP/ADPs, although the performance in the cross-domain evaluation...
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**A**: To show the equivalence of the six statements in Theorem 1, the proof is structured as follows**B**: We first prove the equivalence among statements (i), (ii) and (iii)**C**: Then, we prove the following chain of implications: (iii) ⟹⟹\Longrightarrow⟹ (iv), followed by (iv) ⟹\implies⟹ (v), (v) ⟹\implies⟹ (vi), a...
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**A**: They created a fault localization and repair pipeline to localize and fix discrepancies (Louloudakis et al., 2023b).**B**: Louloudakis et al**C**: studied behavioral issues resulting from framework-to-framework conversion (Louloudakis et al., 2023a). They found failures in 10 out of 36 conversions
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**A**: The MRS UAV system [13] is another ROS-based system designed for onboard use with PX4 and DJI compatible controllers, suitable for both indoor and outdoor applications, and designed for multi-robot experiments**B**: The UAV Abstraction Layer (UAL) [15] further standardizes the interfaces of UAVs on different aut...
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**A**: Although the main goal of RLHF is to improve conversational skills while mitigating mistakes and biases, it has also led to models capable of producing on-demand poems, songs, and novels, gaining global popularity666https://www.forbes.com/sites/martineparis/2023/02/03/chatgpt-hits-100-million-microsoft-unleashes...
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**A**: This can be seen from the recall rates at the large average numbers of false positives per CT image in Table VI. However, if the β𝛽\betaitalic_β is too large, then the teacher model will barely change. These results demonstrate the necessity of dealing with the label noise for the teacher-student mutual learnin...
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**A**: Like other 2S-SLPR problems, the second stage of the two-stage DCOPF involves an expectation of the uncertain parameters ( i.e., the randomness in the net-load) over some probability distribution**B**: Therefore, several different approaches have been used to approximate 2S-SLPR problems. Among these, the most p...
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**A**: Indeed, it is far easier to reason about the relationship between examples than to reason about distributions over high-dimensional functions.**B**: Therefore, rather than inspecting the prior predictive at single points in input space, we examine the joint prior predictive of pairs of inputs with known semantic...
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**A**: This result is particularly useful because even though the underlying metric measure dynamical system need not satisfy the necessary assumptions, (e.g., is not finite-dimensional or approximable by finite-dimensional spaces) the target spaces for most stable shape descriptors used in practice do.**B**: For a cor...
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