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**A**: see [1, 2, 4, 8]). In a CSP, a specific structure is fixed (the template), and the problem involves deciding whether a given conjunction of atomic formulas over the signature of the template is satisfiable in the structure. Jeavons’ groundbreaking discovery [13] states that the complexity of a CSP for a finite s...
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**A**: Along the same line, Hanaka et al. [HKK+22] and Gao et al**B**: [GGK+22] recently developed frameworks to design approximation algorithms for diverse variants of combinatorial problems**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**: This section shows the limitations of the algorithmic content of [ure states and their measurements**B**: Given a measurement apparatus E𝐸Eitalic_E, there is only a tiny fraction of quantum pure states on which E𝐸Eitalic_E’s application produces coherent information. This is independent of the number of measur...
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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**: Our background-based OOD score is based on an unbounded logit value, which can dominant the overall OOD score when combining with the foreground-based OOD score using the softmax output (its value is within [0,1]01[0,1][ 0 , 1 ])**B**: To avoid this situation, we take a different approach to combine the foregrou...
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**A**: Blind denoisers do not require the user to specify the level of noise in the input image, whereas non-blind denoisers require the user to specify the noise level**B**: Denoising techniques may be classified as being either blind or non-blind**C**: The popular BM3D algorithm is a non-blind approach. Similarly, ou...
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**A**: They are also more likely to speak a foreign language and have prior experience with the Wikipedia navigation game. Female participants prefer to play the navigation game without time constraints (Least-clicks game), whereas males tend to race for speed (Speed-race game). Regarding the Big Five personality score...
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**A**: These findings, detailed in Table 1, highlight the effectiveness of our cross-modal contrastive learning approach. **B**: Our method shows superior performance in gene ontology (GO) term prediction and enzyme commission (EC) number prediction tasks, surpassing existing 1D-only, 3D-only, and (3+1)D approaches**C*...
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**A**: We see that the results of LN-TransE and LN-TransH are relatively stable, introducing more TC layers only slightly increases model performance. While LN-DistMult and LN-ComplEx are more sensitive to different layer numbers, their performance collapses with 4 TC layers partly due to training difficulties and over...
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**A**: Let us look in more detail at the entanglement generation scheme presented by Childress [12], in which two NV centers are inside a photonic cavity, one at each end of a photonic fiber. Laser pulses are used to create entangled NV center excited state pairs with a fidelity.**B**: Numerical simulations were perfo...
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**A**: However, the PW sequence has performance loss for polar codes with the code length N≥1024𝑁1024N\geq 1024italic_N ≥ 1024. In 5G, polar codes are constructed by a fixed universal polar sequence [13] for all the code configurations by computer searching with the maximum polar sequence length 1024102410241024.**B**...
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**A**: where the inequality follows from our assumption 1/2<p<112𝑝11/2<p<11 / 2 < italic_p < 1**B**: Thus we see that when there are signals the weights on leaf nodes are no longer proportional, but skewed further towards the longer branches**C**: So for this tree we have that the mean depth is given by
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**A**: To allow a fair comparison, we fine-tune a pre-trained StyleGAN3 on the same hardware for the same number of steps. A blind comparison between Stable Diffusion and StyleGAN3 was made by an expert prostate radiologist, who compared 50 pairs of images generated by the two methods, shown side-to-side and randomized...
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**A**: Participants were then asked to identify the objects depicted in these assets. To evaluate the multi-object generation and combination capabilities of our approach, we calculated the accuracy of the participants’ object recognition. **B**: Object Identification**C**: For this task, we selected four samples of 3D...
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**A**: The full simulation is based on 900 pairs generated from a variety of data set archetypes with different cluster shapes and numbers of dimensions. The dashed lines estimate the conditional means**B**: The C2C and LDA approximations are both highly correlated with exact cluster overlap, with Pearson correlations ...
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**A**: Event Argument: Event arguments identify the entities involved in events and their roles based on their relationships with the event triggers**B**: An entity can be an object, place or person that participates in the event**C**: For example, ‘home’ is an entity that serves as both the ‘Place’ argument of the ‘Tr...
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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**: We firstly translate and rotate the original, HC and GP-simplified clouds in the same fashion, before performing global and ICP point-to-point registration [3] with the Open3D package [36]; visualisations are available in the supplementary material (Figure 4). Our GP-simplified cloud allows for quicker registrat...
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**A**: Federated learning serves as a promising paradigm to tackle distributed machine learning tasks and achieves multi-fold performance benefits including personal data privacy preservation and training efficiency improvement[3]**B**: Specifically, in the FL model training process, each participating client undertake...
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**A**: Then, we present the details of zero-initialized attention mechanisms with zero gating in Section 3.2, and generalize LLaMA-Adapter for multi-modal reasoning in Section 3.3**B**: In Section 3.1, we first introduce to insert learnable adaption prompts into LLaMA’s (Touvron et al., 2023) transformer**C**: Finally,...
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**A**: TAL aims at predicting the temporal extent and the labels of action instances**B**: 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.**C**: Temporal action localization (TAL)
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**A**: (2019) showed that adding too many layers to a convolutional neural network, trained for image classification, hurts its performance**B**: Using CKA, they found that more than half of the network’s layers are very similar to the last.**C**: Many studies have used similarity measures for the interpretability of N...
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**A**: The diagonal red lines represent perfect estimation without angle errors. Each estimation result for the test images is depicted as a translucent blue point.**B**: Figure 13: Error distribution of angles in our method using HRNet-W32 on the test sets of (a) SL-MH, (b) SL-PB, (c) SP360, and (d) HoliCity**C**: Gr...
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**A**: Moreover, the proposed conditions also apply to systems where a direct input-to-output channel is present.**B**: We have provided necessary and sufficient conditions for the synchronization of identical linear SISO systems, with a guaranteed convergence rate, both in the continuous-time and in the discrete-time ...
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**A**: studied behavioral issues resulting from framework-to-framework conversion (Louloudakis et al., 2023a). They found failures in 10 out of 36 conversions**B**: They created a fault localization and repair pipeline to localize and fix discrepancies (Louloudakis et al., 2023b).**C**: Louloudakis et al
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**A**: In this scenario, a swarm of two drones is used to perform a back-and-forth aerial inspection**B**: As in the previous experiment, we tested the mission in a simulated environment before testing it in the real world, and a comparison was made between the two. **C**: In this experiment, two high-end industrial dr...
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**A**: Then, they can try to correct, modify, or rephrase the outputs if asked to do so (i.e., through an external intervention)**B**: However, they would do it only by guessing what is the most likely re-casting of such responses or through the application of a set of given rules. It is worth noting that this is somet...
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**A**: In [25], the authors incorporate a deconvolutional structure in Faster RCNN for detecting the nodules on axial slices. In [26], the multi-view ConvNets is proposed for pulmonary nodule detection, which take a set of 2D patches from differently oriented planes as input. The final results are obtained by delicatel...
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**A**: stochastic programming methods are a type of common tools used to reformulate the OPF as a multi-stage problem [5, 6, 7]**B**: In these problems, decisions are made sequentially at each stage, based on the forecast of the net-load and the fact that additional adjustments can be made in future stages when the unc...
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**A**: (2022)). This is why our results are empirically on par with many recent papers in Bayesian deep learning (e.g., Immer et al., 2021b; Ober & Aitchison, 2021; Izmailov et al., 2021b). However, it should be noted that some recent attempts have been made to reconcile BNNs with common practical deep learning tricks ...
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**A**: For example, note that the ball volume corresponding to the fidi on the time set J𝐽Jitalic_J is given by **B**: A consequence of the preceding theorems is that one can often characterize the geometric features as captured by shape descriptors of a Polish-valued process X𝑋Xitalic_X via the ball volume processes...
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