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**A**: see [4]). The topology-free approach takes into account the cardinality of the basic set A𝐴Aitalic_A and the arity of operations**B**: Bruno Poizat fully developed the topology-free approach in [19]. In [20, 21] R. Pöschel characterised the Galois closed sets of relations with the help of infinitary operations....
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**A**: [GGK+22] recently developed frameworks to design approximation algorithms for diverse variants of combinatorial problems**B**: Along the same line, Hanaka et al. [HKK+22] and Gao et al**C**: On the positive side, diverse variants of other classic problems are known to be polynomially solvable when considering c...
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**A**: We also show how to lower bound information between probabilities over general spaces with information between probabilities over finite sequences using uniformly enumerable disjoint open sets**B**: We look at the average information between measures by using probability measures over spaces of measures.**C**: ...
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**A**: Our short-term perspective consists in merging seamlessly a gradient free optimization algorithm with a gradient-based error optimizer in order to reach global convergence**B**: This precision margin gained allows gaining insight into the neuron activation level sensitivity. **C**: We believe that this objective...
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**A**: 4 and 5 respectively. We can see in Fig**B**: The Reasons behind the Effectiveness of DFB. We aim to understand the effectiveness of DFB from two perspectives, including the foreground and background OOD scoring, and the latent features learned in DFB, with the results on the Textures dataset reported in Figs**C...
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**A**: Existing denoising techniques can be applied to denoise low-light images either before or after contrast enhancement [9, 10]**B**: These denoising techniques range from low-pass filters and algorithms such as block matching and 3D filtering (BM3D) [11], to state-of-the-art DL denoisers [9, 12]**C**: Despite den...
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**A**: JK and MZ were partially supported through ERC grant No. 810115-DYNASET**B**: We are grateful to Csaba Pleh, Peter Kardos, and Markus Strohmaier for their valuable advice. This project was supported by the Humboldt Foundation within the Research Group Linkage Program**C**: MZ acknowledges further support from 10...
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**A**: Protein structure encoders face two main challenges: 1) Data scarcity. The number of reported protein structures is significantly lower than datasets in other machine learning fields due to the challenges of experimental protein structure determination**B**: Unlike sequences, traditional self-supervised languag...
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**A**: The input dimensions highly affect the parameter efficiency of LiftNet-based methods; thus we analyze its influence on the model performance**B**: We evaluate LN-TransE, LN-TransH, LN-DistMult, and LiftNet-ComplEx with four input dimensions {4,16,64,256}41664256\{4,16,64,256\}{ 4 , 16 , 64 , 256 } on WN18RR dat...
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**A**: Nevertheless, the proposed approach allows for the addition of as much detail as needed, provided that monotonic and isotonic routing metrics can still be defined. An interesting way to merge these two directions would be to reformulate this work as a non-linear programming problem. In its present form, the prop...
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**A**: Fig**B**: The required SNRs of MWUB equal to the target BLER are also provided.**C**: 5 shows the minimum required SNRs of polar codes constructed by polar sequence [4], GA algorithm [7] and MWD sequence to achieve the target BLER under the AWGN channel with the code rate range R=0.0625∼0.9375𝑅0.0625similar-to...
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**A**: Thus we see that when there are signals the weights on leaf nodes are no longer proportional, but skewed further towards the longer branches**B**: where the inequality follows from our assumption 1/2<p<112𝑝11/2<p<11 / 2 < italic_p < 1**C**: So for this tree we have that the mean depth is given by
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**A**: Pre-trained models are often trained on 2D RGB datasets, but many medical imaging modalities are 3D. Recently, studies such as Khader et al**B**: (2023) and Pinaya et al**C**: (2022) have trained diffusion models from scratch on 3D data or even on 4D data Kim and Ye (2022), and Han et al. (2023) use diffusion mo...
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**A**: In our investigations, demonstrated in Fig. 17, we identified a ’floating’ issue when bounding box overlaps are absent**B**: Such non-interaction can pose challenges, as it does not provide the necessary contiguous context for the global semantics to incorporate these objects seamlessly. To rectify this, one str...
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**A**: First, the algorithm samples a new probabilistic mixture model whose geometric structure matches the archetype**B**: Second, we draw i.i.d. samples from this mixture model to generate a data set. Figure 1 illustrates this flow.**C**: Once an archetype has been defined, sampling concrete data sets proceeds in tw...
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**A**: BART-Gen Li et al**B**: Constrained generation is applied for argument extraction that requires event-specific templates. **C**: (2021) is designed for document-level event extraction that can deal with the long-distance dependence issue and co-reference problem
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**A**: Specifically, Steinwart and Scovel (2012, Theorem 4.6) reveals that for 0<s<10𝑠10<s<10 < italic_s < 1,**B**: It is worth pointing out the relation between the definition (5) and the interpolation space defined through the real method (real interpolation)**C**: For details of interpolation of Banach spaces thro...
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**A**: However, as discussed in Section 2, tuning the user-specified HC parameters make striking a balance between feature preservation and retaining a sufficient density of points across the cloud relatively challenging. Moreover, there is no control over the size of the simplified cloud, as discussed by the authors [...
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**A**: Liu et al. [25] design AAFL mechanism, which adaptively determines the optimal fraction of clients participating in global aggregation based on resource constraints. Liu et al. [26] introduce Fed2A which allows clients to upload shallow and deep layers of DNNs adaptively to improve their performance in a hetero...
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**A**: To promote the open source of instruction models, Stanford Alpaca (Taori et al., 2023) fine-tunes all the 7B parameters of LLaMA (Touvron et al., 2023) with 52K self-instruct data.**B**: These methods normally enhance the pre-trained LLMs by fine-tuning them with high-quality instruction-output data pairs**C**: ...
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**A**: TAL aims at predicting the temporal extent and the labels of action instances**B**: Temporal action localization (TAL)**C**: We evaluate the performance on ActivityNet (Heilbron et al., 2015), an action understanding dataset of 19,994 temporally annotated untrimmed videos with 200 action categories.
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**A**: However, using FAISS (red boxes) causes a big decrease in DeepCKA accuracy, while ContraSim maintains high accuracy. Furthermore, in 3 of 4 pairs we tested, FAISS sampling yielded better CKA accuracy than random sampling**B**: This might indicate that CKA suffers from stability issues.**C**: This contradicts the...
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**A**: The VP estimator is trained using the modified HRNet loss function described above**B**: In addition, the distortion estimator is trained using the harmonic non-grid bearing loss [59].**C**: Training. Using the generated fisheye images with ground-truth camera parameters in Section 4.1 and VP/ADP labels in Secti...
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**A**: Then, we prove the following chain of implications: (iii) ⟹⟹\Longrightarrow⟹ (iv), followed by (iv) ⟹\implies⟹ (v), (v) ⟹\implies⟹ (vi), and finally (vi) ⟹\implies⟹ (ii). This ensures that all the six statements are equivalent.**B**: To show the equivalence of the six statements in Theorem 1, the proof is struct...
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**A**: Behavioural Differences: We observed a large fraction of behavioural differences (incorrect output) with synthetic models**B**: Compared to real models, which had 20 instances, synthetic models had 320 instances where the inference results exceeded the threshold**C**: The majority of these instances were observe...
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**A**: In Table I some relevant flight controller projects are listed. These projects may cover both hardware and software development of these controllers**B**: In 2018 Ebeid et al. presented a survey of open-source hardware and software comparing their main features [7]**C**: They range from Open Source Hardware (OSH...
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**A**: (2012)). Some approaches combine all of them together (Gervás, 2013). **B**: Examples include the Computerized Haiku by Margaret Masterman555http://www.in-vacua.com/cgi-bin/haiku.pl, the storyteller TALE-SPIN (Meehan, 1977), Racter and its poems’ book (Racter, 1984), and UNIVERSE, which was able to generate cohe...
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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**: In this section, we provide the experimental results of using the proposed algorithm in Table I to solve two-stage DCOPF problems**B**: Our algorithm learns the first-stage solutions to the scenario-based problems in (3) and (6), respectively. We implement our learning algorithm in Google Colab [54] using Pytor...
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**A**: We also report the accuracy and expected calibration error (ECE) in Appendix Table D.1. We further assess out-of-distribution (OOD) generalisation from CIFAR10 to CIFAR10-C (Hendrycks & Dietterich, 2019)**B**: Evaluation.  To evaluate the predictive performance of these BNNs, we report the negative log-likeliho...
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**A**: In particular, the lack of a vector space structure means that concise summaries of the distribution such as moments are not available, and generalized notions such as Fréchet means are not unique and hard to compute**B**: In fact, an important issue from the point of view of inference is that sophisticated shap...
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