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The involvement of the entorhinal-hippocampal complex – as being the most probable candidate structure underlying network-like cognitive maps and multi-scale navigation {{cite:09f5c5f37279194f59018400894875ca87987f17}}, {{cite:c870c59060ec72d17c6282f484a3b83071e5f538}}, {{cite:309964176b56eaaf3a9e95415bdffd0dcbaa27fc}}...
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Imagenette Data Set: Imagenette is a subset of the well-known ImageNet ILSVRC 2012 data set {{cite:384d05b431a52165342db5abe71d9b136e8e03c7}} with 10 easily classified classes. Images were rescaled to the range {{formula:d0043e0c-1e6d-4490-8f95-33be9bf26855}} and normalized using the mean and standard deviation of ima...
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Inspired by the Contrastive Language-Image Pretraining (CLIP) {{cite:09f5e733c2101a639190269adc3d629bf35058e2}} framework, we propose Contrastive Surface-Image Pretraining (CSIP) framework which utilizes dual encoders trained using a contrastive loss to encode imagery and above ground level (AGL) maps into similar late...
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Finally, we compared the Color Magnitude Diagrams (CMD) of our disequilibrium and equilibrium models against MKO observations of brown dwarfs by {{cite:a68b0c44567072dce91884472751462550065f4e}} and Spitzer data from {{cite:70ce6de98ad7a28b6d0423c4acc380acb7b383f5}} (Sect. REF ). We noted that our disequilibrium chemis...
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We provide the results from ImageNet {{cite:759127a7aebabd848c528e1abdeb04cb1753ec6a}} {{formula:bc5f5a03-72f4-4e17-9dab-6d9f82d812ad}} conditional model with our method in Fig. REF , and the results from LSUN Cat {{cite:83defd1b84ae7eac1f68f954415b298c70ca4cb2}} with our method in Fig. REF . Also, in addition to the ...
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4e9e1ca4a794df323d8d1f9bbb6d443e
In the counting of pairs, the weighting scheme is applied to both the data and the random samples (except that we use a 10x larger {{formula:6f579d92-b85b-4e56-bdc4-c9762088511f}} in the random). This treatment is different from what adopted in {{cite:742c0faa4feed361506d3c4e26b581acf990e5b5}} (where the authors fixed...
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As shown in our previous work {{cite:af31ec7f1caffb39cb83ca3406dd33dcb552516b}}, the simulations shown in Figure 2 where implemented as follows: Numerical parameters were set to the known properties of aqueous glycerin, air, and sand ({{formula:164c4104-1b97-4aff-8524-87a86e9c75ba}} , {{formula:24d12279-1f04-4103-b8b5-...
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We use CuBERT, CodeBERT, and GraphCodeBERT as encoders of the input sequences. For all of them, checkpoints for input length 512 are available. GraphCodeBERT allows an additional 128 tokens for data-flow information. For CuBERT, a checkpoint for length of 1024 is also available. We experiment with all of these. For spa...
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In recent years, distributed optimization techniques over a multi-agent network have attracted considerable attention since they play an essential role in engineering problems in distributed control {{cite:56368a4e3a619fb2e707ced21eda384885b14b37}}, {{cite:d741e35956a54a5ae4c7552ae073d9f2a7e2e87f}}, signal processing {...
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b3b4c03b3c18aa104fc9bcba12053352
In recent years, the convergences of the field of AI and neuroscience have brought new ideas to each other, which lead to interesting results. One of these ideas that used the concept of the TD learning gave new insights that interpret the results from recording place cells of a moving animal in spatial navigation task...
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GSD vs. Multi-Pass Models Bayesian MCDO {{cite:2cba2c91645e63d70ea3864e31e511bbd1524c82}} and Deep Ensemble {{cite:bd4ed2603c36bbfc9aae5c9600d4a3f1d7902764}} are considered the current state-of-the-art methods for multi-pass calibration. Bayesian MCDO requires multiple passes with dropout during training and inference ...
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3358d6169747ba1fcd85ed7b9fe004d9
We also note that system identification is significantly more challenging if greater numbers of candidate bases are retained. In this case, stepwise regression is roboust as it iteratively eliminates inactive operators instead of attempting to find a solution in “one shot", thus mollifying the problem to a degree. Giv...
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ab42d03c87c1df4f37d3009b94e98697
Qualitative Comparison: The 4× and 8× qualitative results are depicted in Fig. 4. The top two rows show the 4× visual results. As for Bicubic interpolation, we observe that its results contain over-smooth visualization effects. SRGAN {{cite:e23d2e5ef0e8c4f0a0ee13d05796fd5da273aadf}} relatively enhances the SR results c...
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Several previous studies {{cite:d17d768fe8f432877e87b0c687a08e5e66b8e455}}, {{cite:995456811e4f49bdb0e064f011762483c68b6716}}, {{cite:7bc148f679018cedc6715392cae12389d471cf86}}, {{cite:1743680d6b97722352de6626550452d292e0ba1d}}, {{cite:bdfe8931b1686a971a996c41179806f5103d71aa}} have achieved promising results on self-s...
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Several recent works have proposed data-driven path planning models {{cite:fe4b1952ab4c474b24158d1541be8881091b9fd5}}, {{cite:17be8f45ad422d1eea0c5223d0ada37751ce6a2f}}, {{cite:61f9bc4426e53e3c4646468eba6b9884d29875d0}}, {{cite:080ba423a401a0755cb6f535c3866dc6d3330dff}}. Similar to how classical algorithms, like {{cite...
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MIDeepSeg was also compared with several existing interactive segmentation methods. In 2D cases, in addition to traditional methods like Graph Cuts {{cite:f99cb775214a4cc42aff78c68957cd58be0a0593}}, Random Walks {{cite:548d3891b2cac70ae652653fa811f3bba1ffedf4}} and SlicSeg {{cite:c8fcf2316759d6cd6093c835cf65efeae61125f...
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On the BraTS'20 unseen test dataset, our method achieved higher Dice values compared to the validation Dice values, obtaining an evaluation score that was equal 5th highest and 10th place in the overall ranking in the challenge. As an indirect comparison with existing methods using different validation datasets, our me...
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We note that the lack of new detections is not unexpected. Firstly, signals from binaries with the inclinations targeted by our banks are significantly weaker than those from face-on binaries typically detected by existing searches. Secondly, in contrast to existing searches, we have performed a two-detector search usi...
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4cdab5625d39bd1c28794d2e1b1f11aa
Task specifications (and non-Markovian reward functions) are naturally separable, so an automaton (or reward machine) allows an optimal policy to be found more efficiently by breaking down the complex task into a sequence of Markovian subtasks. Nevertheless, recent work has recognised that this automaton is usually a p...
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9f19cca831d238a34c6e6aa742526160
We provide a probabilistic interpretation of attention as a generative model for queries and values through a set of memory units. Using this formulation, traditional attention in transformers {{cite:4589594e0684fb5479af533c27dbbccb74130d9d}} reduces to the special case of maximum a posteriori (MAP) inference of values...
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Denote {{formula:72782f45-d138-405c-9907-84a5c1689c6f}} the communication time need for each master-worker exchange. For simplification, we assume that {{formula:416c070f-4703-42e8-a9ca-8d9a994006b9}} is fixed and is the same for all nodes. If the time needed for computing one update {{formula:5fd5965f-e68c-4ad4-a6b9...
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(4) Applications. Currently, the only direct applications of FSS (I2S and S2I) are entertainment and law enforcement {{cite:dab2fc63e01dad1bd6a65798383debe9e3e12504}}, {{cite:4dabdd942ae811145568be5cd04ea8e49e0c4f52}}. With the development of FSS techniques, many other promising applications could also be implicitly or...
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44d5ffc0940a7a9ed6b567480551f18a
First of all, we extend the analysis of the {{formula:bc191cde-bf3e-4a32-a8a4-8aa58de6440d}} , as already shown in Figure REF to the results reported in {{cite:2c8aa9cf9d9a216614e1b81d3d922b6680823a4b}} in Figure REF . Here, we can see that of all the countermeasures proposed (for CIFAR-10 data), only {{formula:026279...
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Assumption REF (A4) gives the following analogue of Lemma 5.7.8 of {{cite:b27d91d5b59172726f0365ee10b0cb5f597c5017}}.
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020b488615fb0bf14dbcaaa4c6016313
At SBC ({{formula:6262808e-f90f-423f-8a4d-bf3df86d6795}} ), the unstable modes that degenerate owing to spherical homogeneity emerge simultaneously from the static thermally conductive state over the critical Grashof number {{formula:8833a9bd-9f56-4c4a-8882-6be3062293f9}} . Owing to the nonlinear interactions among t...
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6e2ff70e7e3f8dc5174f93209492f1d1
By an application of a concentration inequality for Lipschitz functions of Gaussian vectors, we have for any {{formula:a0d268fb-ab9c-458d-a43c-e7b82239a2d4}} (see Example 2.28 of {{cite:c6bf4948f6d3f52680b23bd905cc1012f1e61637}}): {{formula:14f02842-4b19-4597-9423-976d19d8469c}}
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6de0895c6957628bd8495e86be2b0324
There are two main branches of adjoint methods in use today: the differentiate-then-discretize approach, which derives the continuous adjoint equations from the state equations and discretizes them separately, and the discretize-then-differentiate approach, which discretizes the state equations and derives a discrete a...
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285534bc013b6f16ee857337c66b6469
Fast and numerically stable uncertainty propagation has numerous applications {{cite:7486664e7618dbd3e9aed820de6be8b63f1011dd}}. We could use it for selecting the next best view {{cite:32fc09b4cfed70b66a7c2c9148a3e86175f1d3bb}} from a large collection of images {{cite:e75f27cc35fd0b6074037e0425bc97d896747afa}},{{cite:2...
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75799104a495acbdb7d863b41cd0385e
In this section we present the performance of our estimation and uncertainty quantification algorithms for images of single edge dislocations in single-crystal aluminum. As described in {{cite:5122a048de4b307140faf522cf40aa2b5fb81e69}}, the displacement gradient tensor field {{formula:2571db40-b843-47f4-8328-bc10df94f8...
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f3ed34a7565252cfa279c0d356cb43b9
Theorem 2.1 (PPM, {{cite:ad8b9dc4cd0cde401ac935f2e4926bd296041cff}}) Assume {{formula:60c879c0-c20f-4225-88d0-85cc518565da}} is {{formula:1ca2b53c-ec14-46d7-ac1e-637b03f81c43}} -convex and continuously differentiable everywhere. The (PPM) converges at the following rates:
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1f2b9b153783a1a05d5ff0c091d8afbb
Unsupervised representation learning has been highly successful in the domain of natural language processing {{cite:4daa0bd54b0811d6851d1b9e80b9b5326d663e87}}, {{cite:fc09a861e8e130c946baaa45e5a73a17d9f0f17e}}, {{cite:6d0eacd6812e8e83502b8c0bd1ecf36e7016c1b7}}, {{cite:ebbf12bf6cc2d1a353813d0d90c39659edc81aaa}}, {{cite:...
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ed3a9b0bdd7c31e52bbf5c2c6ce8cf11
Recently, end-to-end approaches that directly predict trajectories from raw sensor data have gained traction {{cite:e3919a60aeae019bfab28266099da193968ad371}}, {{cite:c6633f90a6fe38630531cf3a5f3df2d87baeacdb}}, {{cite:831f050136bc6532117f1da8e3473ba6343ce16c}}, {{cite:fba906261cbe607fc7ed8ebdff208d4019a04adb}}, {{cite:...
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1eeba84fa1a64909995a95bf099488bb
For practitioners we present a simple cost-benefits analysis using our work as an example. To achieve a roughly 2% improvement in downstream tasks over general BERT required 48 hours of in-domain pre-training. Another 48 hours of training led to a further 1-1.5% jump in performance. At a run-rate of $22.33/hour (for 8 ...
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In recent years, security has been becoming an attractive issue in the control and estimation of cyber-physical systems, such as chemical processes, power grids and transportation networks {{cite:c7446f224816df41710f8a220c245bc3be1acced}}, {{cite:647c7ae3ec72d2056d18e7068b18b94a47445f45}}, {{cite:98f0e86d8b6b49eb741f44...
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Parameters in different model scenarios are presented in the Table REF . The vacuum effective potential {{formula:e941347f-8ae6-4e78-878e-b3f5759fb644}} is a function of the two variables {{formula:3deadd7c-f808-4595-bd20-9f903783b099}} and {{formula:b6f563d8-33ad-4402-8749-a7fc2a24fe6c}} . Its minimum is located at ...
r
56d597382b6479bdd95362ef71a953d7
Coupled waveguides play an important role in numerous optical devices such as multicore fibers, optical directional couplers, polarization splitters, ring resonators, and interferometers {{cite:90249d00794d8a24d02302b2927d2d6ec86dad5c}}, {{cite:a39a465f7e28f37b74a030ca184db4ae3681b6a4}}, {{cite:e5507acc9a66010ff36323c9...
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7ffe2174e7a014b9fc78a7a1579c2fde
Bursting behavior is known to be extremely variable and violent, and the bursts influence the accretion process. To date, a significant soft excess is detected in most bright bursts which is caused by the interaction between the burst and the corona or/and disk. However, in this work, this phenomenon is absent, or cons...
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Furthermore, such a smooth translation between different modalities can allow us to gather, for instance, additional annotated data with no extra effort. The top row in Fig REF shows an original camera image from the Semantic-KITTI dataset. By using the corresponding LiDAR scan, our framework trained on this dataset c...
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In all three stages of training, we use an effective batch size of 16K. We utilize the Adam optimizer {{cite:e1bce8fdebcf9b5b0fca995fc4da49a57642b1c0}} with weight decay and set peak learning rates as [5e-4, 3e-4, 1e-4] for three stages respectively. We train up to 30 epochs from which the best model is selected based ...
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c0b4f2c5f1d73ab3d581c9b657a9641a
The mid-infrared wavelength region (MIR; 3-20 {{formula:5d126efc-0c2e-4747-b830-674e47b6582e}} m) provides an excellent opportunity for the search for life, as it contains features for multiple biosignature gases, as well for gaseous species that could provide evidence for or against biological O{{formula:6b7f4670-223d...
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d1f1f51ef1b6211a0db9097993e20e93
This fact can be seen by adapting the classical reasoning for the finite element method to the spectral setting (see for ex. {{cite:b53cfc63268c1bba9ae3e587f92e1fa26c329f4b}}). Moreover, using inverse inequalities (REF ) and the above accuracy estimates we can show that for {{formula:8a1047f2-7cfd-4edf-905e-13ebd137a44...
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d07e444dc603824e9de0956172d21122
According to the idea proposed by Leon Chua {{cite:8d0b714033d48e212c279e0e28a3b9903bfdb11f}} the memristor relates the transferred electrical charge, {{formula:58e89e97-f09a-47e0-a409-2bcd47cf5e03}} , and the magnetic flux linkage, {{formula:9291fbcd-73f4-4c60-9d75-256bd3f2c3f6}} , by means of the linear relationship ...
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91233b9cd30ba7140ad15bd9e283949d
We have proposed herein a model to describe spin-half quantum particles in curved space- time in the framework of quantum field theory. Its novelty consists again in assuming that the Einstein equivalence principle and general covariance hold for spin-half quantum particles. It is not a self-evident assumption, because...
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a73a42215a8584b44015e7de3e47709c
We refer to {{cite:c5664d037ce88e22c75638d423a2a641eb12c99a}}, {{cite:4e668ca4284af48e814c717435b0b1c0cd15b79e}}, {{cite:6c38a7e2ccdb6367f223a682ab2358dfb3106c96}}, {{cite:e544211af5a16f53dc723e09a777463304d0e592}}, {{cite:3fb3a2ec779d606623ef9eb11e1a0ecd83683828}} for several sufficient conditions of then comparison p...
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ed0733f39b8fc2f5f28a72ccc14956df
Before synthesizing pseudo-bursts, it is essential to align the input burst frames (having arbitrary displacements) so that the relevant pixel-level cues are aggregated in the later stages. Existing works {{cite:ea183df28cb67b8557db6f5d6735699a439aeb20}}, {{cite:5d4b53a008b5201a1609b4c7cb509c91ab495356}} generally use ...
i
eddb40d0f1712f078c09d334fdbccbba
where the equalities are understood for the expansions of the rational functions in {{formula:90dcb752-7406-4fba-8fdb-28b4c65afd39}} as series in {{formula:dff10573-a151-44e8-a71c-ab724d3a9248}} and {{formula:b7a0c51d-f85a-4a24-8f39-b0ea8911aff9}} , respectively.The roles of {{formula:01d81e98-7a21-4305-81da-1ff97f47...
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ace9ca4f5fa681ec5f38f96a510a0d33
We use PAWS {{cite:dffbd0556e4aef5888084b212298a9ab6f641d1b}} as a canonical example for this family. A key difference from threshold-mediated methods is the lack of the parametric classifier {{formula:8a4c9d4e-2450-4635-a2e7-00a7fadc29f1}} , which is replaced by a non-parametric soft-nearest neighbour classifier ({{fo...
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Since Assumptions REF and REF ensure uniform injectivity of {{formula:d2fd31f7-b5ab-4776-a68e-773c4512a80f}} , and {{formula:cb522143-f3ff-4c08-98dc-87039cc4552d}} satisfies the PDE (REF ), the inverse {{formula:67060a15-ada2-4136-8797-9c35240406b1}} exists and is unique. Thus, the data samples used in the training...
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24e0beb8e2682df6210da8d87a6bd929
In this section, we recall some known results on the simultaneous dimension of graph families and the fractional dimension of graphs. We begin with some useful observations. The open neighborhood of a vertex {{formula:4e002920-47f5-471e-bf0e-f01777f5d29a}} is {{formula:9a5d1baa-304e-4aa7-9464-a5b90a1650f4}} . Two vert...
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Ground truth for data-driven approaches. When applying data-driven approaches to map light-field images to high-resolution 3D volumes, the ground truth can be given by other high-resolution imaging modalities including but not limited to confocal, light-sheet and multi-photon microscopy images {{cite:2bc6c99fd37f387836...
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9edf90fbd41fba480b1e1bb5c4af41e3
In this work, we learn a task-agnostic head (or joint head) and propose a new evaluation protocol for class-iNCD (see Fig. REF (b)). In details, we first use the new head to estimate the predictions of unlabeled data from the new classes. We utilize the HA {{cite:36f0372e630be02e3800754679f65e063817f142}} to re-assign ...
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Our proposed Point2Seq shares a similar intuition with the concurrent work Pix2Seq {{cite:a08e2c5718dbc35c8943ebffce33e63dffc63222}}, which is proposed for image-based object detection, in terms of leveraging objects as words that can be read out from a feature map. However, our method is intrinsically different from {...
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3f55fed90567a32ae54a8abaf3a553dd
PSO with AAR fitness: The PSO method is performed by using the objective of problem (P3), i.e., AAR, as the fitness function, where each iteration requires all generated channel samples to evaluate the fitness and update the particle positions. This method serves as an upper bound for the proposed mbs-PSO method. Sum...
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f74bc3b2d2c461e99ab30b3f2ace06a9
In order to prove Theorem REF , we need the following two lemmas. The first one is an immediate consequence of Dedekind's theorem. The second one follows from {{cite:8422a01d8afe35696e0ff70726293853c9a87f93}}.
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Another possibility is that our dataset (410 students) was simply too small for complex deep models to find success, compared to the 1000s or even 100,000s of learners in other datasets where DKT has been evaluated. However, model complexity alone does not explain the difference, since the simpler BKT model did even wo...
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As with Furstenberg's conjecture, Theorem REF has also valuable consequences about expansions of natural numbers. Let us first recall that a set {{formula:bee4bcae-a5d2-4128-80bd-67987c7b77ac}} is {{formula:6e45766b-0fb3-46d6-a6e7-e5435bf67899}} -automatic if its elements, when written in base {{formula:6fd7038b-9942...
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To address the aforementioned issues, we propose Contrastive Learning for Local and Global Learning MRI Reconstruction network (CLGNet), which is composed of spatial branch and wavelet branch, as illustrated in Fig. REF . Firstly, according to the Fourier theory, point-wise update in the Fourier domain globally affects...
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071ecb55f977853b63883ef556321473
We note that WideResNet {{cite:62035234a9ca38350c165b79c1ec3e146da81a4b}} used in prior works is much deeper and computationally more expensive (with {{formula:588ce0f0-40a0-4bfc-8ced-772be750d2df}} million parameters), whereas MSDNet with {{formula:51e08174-0623-4898-9207-4a47e8aefd5c}} million parameters achieves s...
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These methods attribute importance to input features/signal dimensions for the output i.e. how much the signal dimensions/features of the input contribute to the output across the neural network {{cite:8116aa31672b486d9d3679740fc0e697f74d4910}}{{cite:d9b86876013b02b5c31235dd9351b21b3546920d}}. For a linear model y =w*x...
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We use the notation {{formula:b2374f23-78ef-45c4-9098-1b9dde7cb5fd}} By Markov's inequality, Theorem REF implies that there exists a set of the form {{formula:92058e83-9f29-417e-9a25-05bc07896982}} with {{formula:43806c67-ca17-4774-8ac6-7b4a53936048}} Since the distribution {{formula:003a2521-e0d2-49d3-bc95-c434401...
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Astronomical observations over many length scales support the existence of a number of novel phenomena, which are usually attributed to dark matter (DM) and dark energy (DE). Dark matter was introduced to explain a range of observed phenomena at a galactic scale, such as flat rotation curves, while dark energy is expec...
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9134f92847d3a0399fe9cfbedfe9e142
First-order: Some first-order methods such as extragradient {{cite:766aa58bbd25f64c4013866ca4dd96a391d6ba84}} require a second, costly, gradient evaluation per step. Similarly, methods alternating player updates are bottlenecked by waiting until after the first player's gradient is used to evaluate the second player's ...
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where {{formula:fc3ecb1d-a712-4e67-b970-f5ded2212036}} and {{formula:29ada17e-f95e-451b-ada3-3e96807cceb8}} are borrowed from {{cite:11066c6bb9090ef60c42551622151c8f1852e6f5}} and {{formula:e933fd7e-f0e2-4504-a887-7eb06614e672}} is the adversarial loss discussed above. {{formula:7a382052-35ed-48d1-b31e-1c676f2e5dc9}...
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We carried out Monte Carlo simulations in order to understand if these {{formula:67cca974-8fe8-4125-9121-a27695f71d15}} corrections can explain the amount of reduced scintillation photon collection in the solid phase. Events from the decay of {{formula:b87ff9ae-4409-4545-a30e-ab059a715aea}} Co are simulated using a de...
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In order to test our proposal, we use 7 video sequences in UVG dataset {{cite:e0efd8ba4b56b9830e831ada83bfacb9f2b3b7d7}} at 1080p resolution. We use 10 set of consecutive 16 frames (total 160 frames) of each sequence and compress them by compressai {{cite:577ba868010dcc550edbd77eb3928c6dd068ed41}} implementation of SSF...
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faffca047494807a426c5b5ba34553a8
In general, the approaches to image super-resolution can be classified into: single image super-resolution (SISR) and multi-image super-resolution (MISR). Single image super-resolution has recently attracted considerable attention in the image processing community {{cite:8c75c3b4c0573f223e6fb70eb9c1054c7aec68bc}}, {{ci...
i
c4f1d5cedb4cd75050ab34a0030bf927
Approach 2 - Fair meta-learning for segmentation: This strategy aims to add a meta-fair classifier to the segmentation network to train a model that not only segments cardiac MR images but also performs classification of the protected attribute(s). As the classifier we used a DenseNet network {{cite:28d12106c97f48bec4c...
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8e8ee15f204eeb99505e831b86f8fe2d
In this section, we verify that Open-sampling can boost the standard training and several state-of-the-art techniques by integrating Open-sampling with the following methods: 1) Standard: all the examples have the same weights; by default, we use standard cross-entropy loss. 2) SMOTE {{cite:6a46e47700b85bc1d47c629a9bb8...
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8e123e11aed15cbc55f33f046f6219da
The sensitivity of our observations towards TMC-1, between 0.19-0.35 mK (1{{formula:308573aa-6062-406a-832f-b6e832e77d07}} ), is much larger than previously published line surveys of this source at the same frequencies {{cite:c3274b5e794d203144ac1f2a3d9d662dc27ca5d4}}. In fact, it has been possible to detect many indiv...
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ecda31470bd2884cbd93022b005376a2
The RL algorithms which have achieved state-of-the-art results on various robots rely on deep neural networks because of their good approximation capabilities. With advancements in computing and auto differentiation frameworks, there is a surge in the adoption of neural networks in the robotics community. They have eve...
i
c55a69da3150bc187a66c6cc15d3477f
In this paper we have generalized the factorization proposal introduced in {{cite:e3c88cee83d65ed0c65b523852263494a85ab425}}. The main idea is to decompose the observables into the self-averaging sector and non-self-averaging sectors. We find that the contributions from different sectors have interesting statistics in ...
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7aba51ff13702a14a6a9b1479ba6e6fc
(2) A Hom-alternative algebra {{cite:b71c39ba690fb5a4e64bf881888e8093adf97121}} is a multiplicative Hom-algebra {{formula:6a4944c8-246e-4b27-ba96-0a77b3026b68}} that satisfies both {{formula:93402e50-16fe-42b5-bbff-056cdcd9fd1e}}
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9e799f886cbc218b99c47868dd02f1c1
We next investigate the performance of our joint graphical horseshoe estimator, jointGHS, through comparison with the Bayesian spike-and-slab joint graphical lasso of {{cite:ba10c30db8945d6de15ec91dc23b06a94df6f129}} and the joint graphical lasso of {{cite:4dc72530cbf68b64a670d9dfbe3b3f8518aa56a9}}. We restrict ourselv...
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872e68ea7f4d8211631ff66f36157245
A naive way to utilize these labels is to design a multi-task learning process {{cite:d28b8f09d7e91f6d74dc1789bfad1ceb725cf1fc}} that directly combines vanilla unsupervised pre-training losses such as MLM {{cite:e898fb4a9217608dc0b9684d2bd1a95cda6391d0}} with a supervised DA classification loss. However, this approach ...
i
2c711b9c077313a49a7dba7a41558499
where {{formula:89890577-2b99-4bdf-81c7-337a06d132ad}} such that {{formula:51eaf7f9-86c2-4dd7-a7b3-d4297ecfc682}} for each {{formula:d985bcb7-12a7-4a7d-8ec9-fb7e7ad014ae}} . Note that the model in {{cite:8d769ff5da6fde1aa96df669f68dc85f83fe9f70}} also contains a bias vector, so that {{formula:189d2e8e-0d53-48ec-b3ae-...
i
5659b203b257dde0050eada0dac21275
In this paper, steering wheel angle prediction is performed using a two-stream deep Convolutional Neural Network (CNN) {{cite:f5778c82cbb1ad89668e800f152f72e91c8535a7}} {{cite:d633e987c9539b590579d44cacc6db08e0aaa2ba}}. The architecture is described in detail in Figure REF . Each stream in our implementation has two co...
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61958a8f901b719ba6fb1369181eec01
We are interested in extending this research in multiple future directions. Despite using a decentralized trajectory optimization framework, our experiments in this paper were performed on a single desktop PC, and commands were then transmitted to each UAV individually in real time. We are currently working on a new mu...
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7306f3ed630b9ab55c5ea0aa73520b2e
In CivilComments-WILDS, we divide the data into training, validation, and test datasets and maximize worst-group accuracy in the validation data (and by association, maximize the average accuracy over all domains). Then, we perform model selection and evaluate the OOD accuracy on the test data. For Amazon-WILDS dataset...
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29b50355757caaf7917559c5de255070
The formalism of the {{formula:057315a2-8609-4ce5-9ab1-35da429902dc}} -modes {{formula:5273ab8f-3c0d-480e-8d75-409b5b5395be}} or the “reparametrization modes”, discussed in the last section to obtain the {{formula:e04d6d8a-a3e8-4f32-a776-98494d42cf1b}} corrections to the 4pt functions in the JT theory have since been ...
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f670375817cbb1fbcde87beeeacd094b
Principal Component Analysis (PCA) is a well-known data dimensionality reduction technique {{cite:b390639706ceb056407e79fe0db527fb8c436c36}}. It works by projecting a dataset of {{formula:56d942d6-04a7-46de-9ab3-1f098ce52ae6}} vectors {{formula:925d197f-bbbd-4a47-a478-abc57e11553c}} , {{formula:e7817ea7-a867-4ef4-90d8...
i
9a0f4c4c1ad0d4d3586368f98edeede6
Since industrial machines are operated by humans, learning control strategies by imitation learning {{cite:5202a36248e0f64be6060f12ea52ddd04ede901c}} may be useful for a wide range of applications. If the applied task has multimodal state transitions, its policy model can be extended by multimodality or robustness {{ci...
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4827cf4d3f590f746d077a99d29ba431
Motivated to generalize Artin's Approximation Theorem (cf. {{cite:7963fde16935a0972829e43201ed64610d256beb}}) to excellent Henselian rings the third author developed a powerful tool, the General Néron Desingularization (cf. {{cite:ad19ed1e7f9b5b134925e610a2d05449def909a3}}). This result was discussed and used later by ...
i
e6809012ccdaff53577e796392c471a4
One important point shown in section is that also the irreversible islands-in-the-stream formalism can be captured by a remarkably simple quantum statistical mechanics model involving a temporal sequence of unitary averages. One can view this as a nested generalization of Page's theorem. The fact that ensemble average...
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b654a36bdae17b3a6be29e105a0ef016
where {{formula:6c1a1766-a362-498a-a3cd-0b43edb84cd0}} have the disjoint coherence support, while a strictly incoherent operator has the form {{cite:32a5eb1b7cf535247de18d198ff43588621135c6}} {{formula:00a3a91b-a19c-43b5-9728-5149870a5f5a}}
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feb65072fc9a23e38090826f410bf219
This is a paper about geometry of variations. We formulate definitions of the objects and structures which are cornerstones of Batalin–Vilkovisky formalism {{cite:a62926e61002d890f4319af8d331e56c095c32a8}}, {{cite:5db1eabe16e1e4726f7bbf0789079a031719c588}}, {{cite:2588b9a01e8b34a23e70a6e8bb0ac7f71b987718}}, {{cite:e37c...
i
3cb9d45e2ff38afdef883482793217f6
As mentioned above, directly finding the solution of CSP is infeasible. However, as developed in {{cite:ef7215a502de6207c139c5394d87509436fa4bdf}}, iterative algorithms such as compression-based projection gradient descent can be developed to approximate the solution. In this case, the denoising step such as (REF ) in...
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b50de3fd39efe284aa0c49a168cf56b9
The computation of a primitive element of a field extension can be done by hand (if the degree is small enough) or with the aid of any computer algebra system. For some of the computations we used the algebra software Magma {{cite:95600d751deac7d21de9315637994b3106193d67}} and Singular {{cite:2f4f7af3af6c9428adbf2ba2c1...
d
d7f3036e7082dc233e44c3ba435f3a5f
The performances of the baselines represented side-by-side reflect the limitations of GNNs stated prior. Of all networks, GGRNet {{cite:21bcb1a3a3f0df455eace2cefe8a5c4653fe24ba}} performed the worst, ranking even below the MPNN {{cite:4dad8920cf985e9749e2c5e8bc15bdd142cec4b4}} implemented by Flam-Shepherd et al. {{cite...
d
387a37cb5eaee885614bb627ad317201
Overall, prosocial agents underperformed their selfish counterparts, but the picture is nuanced. Optimizing for per-capita return can be difficult because it complicates credit assignment, and creates spurious reward “lazy agent” problems {{cite:43633327218145ec582cd03af32ea1f878a306cf}}, {{cite:3d4b2e2d05669542e3f11f4...
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763d91d6ae1458b984306ab42199bb2f
Our goal is to organize the implicit storage of knowledge, to add target knowledge (yellow box in Figure REF ) and anchor to select target knowledge. A simple approach is to train updated LMs from scratch; however, this is far too expensive considering the parameter sizes of recent LMs, such as 175B for GPT-3  {{cite:9...
i
0051d9637555eaa8c766cc0ea7621d72
Notice that Proposition REF does no exclude existence of Turing kernels (we again refer to {{cite:fdcb4defe39009e7c51941a1712cee62dc9f2cae}}, {{cite:9197a9ea2555b4f0a2ec0046a87b131b1ef1cebd}} for the definition of the notion). This makes it natural to ask whether Elimination Distance–({{formula:7c35c3be-3e54-4a86-95e2...
d
0dc6fd06717940114b992d2bd59a6a55
Interestingly, the ({{formula:3953c45d-d781-4bc9-98a4-24ef333bfee8}} )-surface (Fig REF ) has basins and the saddle region arranged along both directions. Conventional wisdom would have led to the conclusion that {{formula:bf453a75-3476-486a-90e3-d9678016c4ab}} is important in defining both reactant and product basins...
d
87e856d2cb35dbea825f2ccd945812cb
The electromagnetically induced transparency (EIT) phenomenon{{cite:dbfd70f742804ea8e2fe913a928efcfb9b647f7b}} is another important quantum optics effect in the driven three-level cQED system, and is closely related to ATS effect {{cite:5f59e593cdac5589d56c4c1d591566cef00a65b8}}, {{cite:b6e09298f88272520b4866602256853b...
r
e7486bb46442f0d6f29c95313069c544
Also noted that SetRank outperformed the baselines of DLCM and GSF, in the cases of both with and without the initial rankings. In Istella dataset, without the initial rankings, SetRank{{formula:e31ab979-8f8a-45a0-842d-f4963d03e378}} improved DLCM{{formula:1b89c624-f0d1-479c-9bc5-da7232621fef}} about 0.05 points in t...
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2ba5c6f178f16e7c72690115fc8f590f
One of the limitations of this work is that we assume knowledge of what TG in the set to use during deployment. In future work, it would be interesting to eliminate this assumption in order to autonomously and efficiently select a suitable TG using Bayesian Optimisation through Intelligent Trial and Error {{cite:5064e2...
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ac310fcefb17c03ce7b41ac4fea66f25
The baseline demonstrates that the DS problem exists for all the 5 anatomies. The difference between the Dice scores on the training and test distributions is sometimes as high as 60 Dice points; a model that provides almost perfect segmentations on test images from the training distribution can potentially provide co...
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569e158f25809ebcd81abb9f934dad0c
In addition to previous work {{cite:88d7438414aa238decb2aa563df331c485436a8f}}, in this paper we have also considered corrections to the entropy which are logarithmic in the black hole entropy and the shift in the black hole entropy, the latter arising from the backreaction of the diary. This refinement is necessary in...
d
495425e55ba4b4eb8babaacd3780bbdd
where {{formula:84975781-1480-4b57-bc42-eb06fb872c3e}} for {{formula:4f332e46-4109-4c00-987d-124d8ff4d75f}} and {{formula:2100f46a-28e8-46c3-a6b7-b68c7739c889}} for {{formula:32dd4663-b9e4-4ecb-ba3b-937f906d5a82}} , respectively, are the regular functions. Eq. (7) can be further written in terms of scaled magnetizat...
r
af69f9282c82e588f77df7c204d22856
Although the Standard Model (SM) is successful in explaining most of the observed elementary particle phenomena, there are at least two evidences which hint new physics beyond the SM, such as nonzero but tiny neutrino masses and the dark matter (DM). A simple extension of the SM is to introduce an exotic {{formula:a5a9...
i
ef0d69b32d9b001565da9f76927db7bf
As any other study of this kind using metallicities obtained from Hii region emission lines, our results depend on the calibration of the strong-line diagnostics adopted. In our work, we have re-calibrated the {{cite:92f82d251e0e8a1e51d3bf4a18bdb91e9f0879b3}} oxygen abundances by applying a shift {{formula:3ef9701a-b44...
d
884fc2fdd026cff667225b195acf22da