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Though the SOR method and the corresponding Jacobi method {{cite:cc83803044bb6a8f0f29683e53799d0e8655802a}} can be utilized to solve the series of linear systems produced by Newton's method, the SOR and Jacobi methods can also be extended to find a single solution to a SNE.
| m | a30a601a11879e98f27e0ac1dd4a97f8 |
The release of a native French Reading Comprehension dataset is motivated by the release of recent French monolingual models ({{cite:1a0ff1489e4941a257f41dc2a79309f83ceae818}}, {{cite:656d67a8629226977df43e3561418487e792d583}}) and by industrial opportunities.
In addition to that, we think that a French dataset opens u... | d | 1807bdb38f5cf720d60891db7c2da677 |
To accomplish this MV classification task, we experimented with deep
feed forward neural networks, encouraged by success on a similar task reported in
{{cite:24259edd43a0514aec4505997347cbb8fe4002c9}}. Each hidden layer had 500 nodes, and we
tested 1-, 2-, 4-, and 6-hidden-layer models. To regularize we use
dropout and... | m | b75179ffc2e49e4ed0707b7ad0f6e47f |
Our proposed method consists of two parts: (1) Self-Supervised pre-training of the encoder, and (2) Semi-Supervised fine-tuning of the network using consistency regularization. Taking reference from {{cite:b12d76c877a69c4b11aaf90eb38856d5753210f1}}, we propose a pairwise contrastive (dis)similarity learning, employing ... | m | 3e43d1b6a95d96e36314e306b253b05d |
Before analyzing asymptotic behaviors of optimization methods, we recall some fundamental notions which will be important in what follows. Consider a function {{formula:1f592de3-dede-436a-a59a-a39b2017aa2d}} twice continuously differentiable, a point {{formula:2ec51d9e-6f4a-487a-838d-8a962a9c2abc}} is a called local ... | d | e456cc26c8f07b56aeb8e166829283a3 |
According to Riloff et al.,{{cite:52669b20695d9ee526a42a92f22cb24fd6506766}} most sarcastic sentences carry
negative sentiment. We leverage this to improve both sentiment classification and sarcasm detection.
We use multi-task learning, where a single neural
network is used to perform more than one classification task ... | m | bd9529660451079295b4c6fa4bf2e177 |
The above constructed descriptors
were thoroughly incorporated into
four linear Ridge (RD), {{cite:9c7872a180f5e0be194529b547f250be30c7e095}}
Bayesian Ridge (RD), {{cite:c2f143bff6bef2e96645beb7ea176423ca36ea62}}
LASSO (LS), {{cite:0db9fb4bf81513de271e3bc75e25e413fc128123}}, {{cite:9c7872a180f5e0be194529b547f250be30c7... | m | 28328f23e56e35d6fbbd54b5e756633c |
Obviously the a.n.i. property implies (REF ), and we show the converse.
{{formula:06b30a5c-7e35-43f2-a42d-eb4c7bef6a8c}}
as {{formula:72641890-36d3-4e47-9896-f8c3d9df9e36}} . Moreover, since {{formula:6b265d32-f3a5-4d8b-9d08-1c8607ae7996}} is positive on {{formula:50053718-5c1f-496b-92aa-207144fece4f}} for some {{fo... | r | 4c7ca3c416946fec986cdd53dae56857 |
One of the important aspects of graph theory is the notion of the coloring of graphs and the computation of a graph's chromatic number. It is well known that the coloring of graphs is an NP-Complete problem; see {{cite:92f7f23a85c27fa8d707702f898146391dbdf18f}}. However, for perfect graphs, coloring can be done in poly... | i | ec455ac08ff7cbea276e9b4db3713f6a |
In our study, we focused on a detailed investigation of the proposed query strategy and we didn't intend to achieve state-of-the-art results on the CT liver segmentation task.
We are aware that in addition to using more training data, increasing model capacity or changing the architecture could further boost the segmen... | d | ff55e788955102b1f979097839ecfc85 |
Space consumption.
We utilize EfficientNet-L2 {{cite:52ed1e3cff690231a696b67afed73721569fb58b}} as the machine annotator whose input resolution is {{formula:80b530e9-ed32-493d-82ce-4f3a7541ceee}} and the resulting label map dimension is {{formula:26cca708-239e-495b-b4fc-5bdd4337260e}} .
Saving the entire label maps fo... | d | 2bb8d341e3b2b39828c45e9e7787dcff |
The ideas explained in section relate concepts from different fields such as mathematics, statistics and image processing. Since ULoG uses scale-space representations to perform statistical inference, it can be viewed as an example of a statistical scale-space method {{cite:644942bf5db016f32176e5da8ef8475433e30be7}}. ... | d | 3c1754f3f4a8ca6100110cdf1f9e4d1b |
Although we have shown quantum mean values for shallow QAOA circuits can be efficiently solved by classical computers, it remains an open question for other VQAs, e.g., VQE and QML. Besides, the sampling in the last stage of QAOA, which has been shown classically intractable, still requires NISQ processor. Our algorith... | d | 46de69eca0b314129285c0a6a817c6ec |
A major issue in perturbation theory for unbounded operators with varying domains is that their difference could be defined on a potentially very small subspace, e.g. on the zero subspace. This issue is not as severe when one talks about self-adjoint extensions {{formula:39ba62d7-84ce-4309-8149-3a0dbd8756fc}} of the s... | r | 5eff4b6f83091b351233341c1da90492 |
We compared the performance of ADAM {{cite:471d485254f007f1c07d33251c182d193a24e933}}, a contemporary stochastic gradient algorithm that scales
the direction based on accumulated history of apparent conditioning, sum of functions optimizer (SFO) {{cite:c77b14625a44397e9a52a8d660b67df0a1255d51}}, a second order
BFGS-typ... | r | 78e822d6ee4402f7c492f6ed53b99a91 |
Self-supervised features have been shown to outperform supervised representations in many papers {{cite:ff8bb8cc7f047cdd41f73712234c2b845f9ae5dd}}, {{cite:ba5f19bb19b86ed891455dd60f3a1f208c516d95}}, {{cite:2375ad86ee5c72ff629c42043570f7d650ccd84a}}, {{cite:1adda4507e8b3607dc94affe79053f3668e99d31}}.
However, as the sel... | r | b48e8bcf36cc31a4d7caa1a061fba7b2 |
It is well known that in any game and for any regret-minimizing dynamics the distribution of tuples of bids
approaches a “coarse correlated equilibrium” {{cite:1a14b6ce55a6e33f52f4f537f599d3cd912e2ae4}}, {{cite:e23b1705ded50b017e2f4b540686ff5f3354f612}}, {{cite:2e85c4c8966ac1879f17ed234cc2022e34ef0e43}} (CCE),
but as t... | i | 531f5da6b7cb9308095532cdd6f58a60 |
Many distributed systems such as distributed sensor networks, systems for power flow control and large-scale architectures for machine learning use decentralized optimization as a basic mathematical tool. Several applications such as power systems control {{cite:5a4d402744ed2e7f38c53b6e3a999be2080f12db}}, {{cite:8ebef7... | i | 0974f63af7e47370216c870a678395a3 |
where {{formula:2983d99f-97d4-4928-9601-4e3c65fcf390}} is the acceleration of a particle ({{formula:3566a632-0ebe-4dfd-a129-5c1970f31188}} ), {{formula:535e09a2-e214-43e2-9018-9bbf392adfeb}} is its {{formula:3880234c-e4a8-4d68-be75-5390783d280d}} -order time derivative, {{formula:46a6941b-903c-4894-b6eb-df2f00c58622}... | m | e8655dcc9d19c7ed6c3562d6ea3651bd |
With recent successes in AI, there is a great interest in deploying autonomous agents into our day to day lives. In order to cohabit successfully with humans, it is highly important that the AI agent behaves in a way that is aligned with the human preferences. Ideally, we want a system that will enable every day users ... | i | b0018aebb559fa47629e3a3358714da7 |
Note that, both the expected empirical loss defined in Eq. REF and the entropy loss in Eq. REF can be used in Eq. REF as the loss function {{formula:3fd43091-3be9-4c83-a8de-7b7b91a01dee}}, since the derivation does not require a particular form of the non-negative {{formula:c20183de-09ba-40e3-83d9-c268700fbdd1}} . T... | d | df648b7c7548dc91957a6f36453bc0d4 |
The phase transition of strongly interacting matter is an important topic in hadron physics. As the temperature and density increase, the strongly interacting matter will undergo a phase transition from hadronic phase to quark-gluon plasma (QGP), which is deconfined, approximate chiral symmetric state, superfluid and s... | i | 52015f366b890e8f13463abe91b676cb |
We note the very steep spectra for the diffuse emitting regions of the Spiderweb, such as in the eastern lobe, and the end of the western jet, where {{formula:5fbc1deb-626d-4b44-be6f-86ed2927859f}} (see Figure REF and Figure REF ). This may, in part, be due to increasing inverse Compton energy losses off the CMB for ... | d | 718524e0789b3af50f008217a46c41c6 |
where {{formula:2666088d-5f4f-46df-b010-7d05c7c8e0af}} denotes the dry source signal of speaker {{formula:30bf7eed-44b6-42f7-b7ce-b83c1c23d98c}} (see our physical model in Eq. (REF )) and {{formula:e42bad7d-4172-49e3-9a00-2a1229d29858}} is a gain equalization (GEQ) factor {{cite:3e9a0a0d1fed01f697a5cda3a2ecc4677763... | r | 28bb95905d5af878bf9decf421ca78e0 |
LanzcosNet {{cite:3d5f9dd38eec3aa11ce52f9d7918740b84e14c47}} appears to be able to successfully utilize multi-scale information from the graph Laplacian and avoid limited model capacity, outperforming both the MPNN and PAGTN. However, the inaccuracies from the low-rank approximation provided by the Lanczos algorithm li... | d | 302cc6ee3e31ea5112e568d2753b75ac |
Future work should leverage new advances in generative modeling.
One possibly useful technique could be to develop fooling features adversarially against a discriminator which is trained to recognize them from natural features.
We also believe that studying human responses to feature-level adversaries and the links bet... | d | 399c09e8266eb6eb2d34ef755fb2fa10 |
A more quantitative assessment can be achieved by comparing the reference input and the corresponding inversion solutions in terms of RMSE, Structural SIMilarity and Scoring values in the input domain {{cite:689160f109c2c6ce21a0122ea956ddc086d41e95}}, {{cite:cfabbbd2c6054062b5cb7f92f4f7fb71e8baa90c}}.
We consider the p... | r | 109319d3d9f67141ce6d9dfec4570b4c |
Multi-modal language-vision models demonstrated recently strong transfer capability to novel datasets in absense of per-sample labels {{cite:81c9e1c9af74055920e9b099fd281f10ef8aae22}}, {{cite:6d875ad25e8e856d9447ef630626d0e4a709dba1}}, {{cite:973fd240b76f052f25ab5d4afb125e88f8d833f3}}. This capability requires sufficie... | i | 35a5561b31be8b9757487f7fd14579f7 |
Results (a), (b), (c) and (d) use an encoding scheme reminiscent of the concatenation idea from {{cite:060f9dff866cce8027e0b0647547a0d4784284e2}}, {{cite:8d3223195618003fe3b1586e792df8a795c32d69}}, {{cite:1d6b0467a871c7157dcc8d8350875a28ef9cffb7}} (and suggested to us by Ronald de Wolf). The underlying idea is to rando... | r | 3a2e27b9f2f682e9615aba6fdeb6a3a1 |
We decompose {{formula:1f63b056-ef72-48b8-8183-3815d84186ac}} into
{{formula:bbcc960a-4fde-4aaf-84dd-ddb9a99d633f}}
First we consider the compound Poisson {{formula:46c8fbe8-6002-4e7f-9de3-87b96fababca}} and let {{formula:b9811ae8-26e5-4a00-935e-06e1e5790535}} .
We write the proper absolutely continuous part as
{{fo... | r | 261162facf1493c0e838d005b9398e1c |
The details of the code that is used for the simulations is going
to be explained in detail elsewhere, here we point out only the key
features. Both the field stars and the test stars feel the potential
of the SMBH, including the general relativistic (GR) correction that
leads to the prograde precession of the orbitsWe... | m | 23050bc77db5e9eded943a6f6be985e6 |
We emphasize that, while two-local sparsely-connected codes can be desirable in hardware (e.g. to reduce crosstalk {{cite:f373b3c479f9ef7d719c2e5ae25e83d0eae5c4eb}}), two-locality often greatly diminishes the quality of error-correction {{cite:86cfb73e6ffcc1f782daf737ee0160078c631880}}, {{cite:bcf480d95d75e36c2f84d6cd0... | r | 10feeea9d4b82d54df3990b23e46f7d6 |
A recent review {{cite:1d41cf19ce31f01ad4cbf15f17fb10e0b00436e7}} discusses the
basic problem of the large expected decay widths into two mesons,
which contradicts experimental observations. Around the mass of the
{{formula:cbb3e1cb-57bb-4464-b1da-f4d0dc282c33}} , there are two conventional {{formula:2c3f8c53-c01e-4558... | i | 883bfd4bb23719670c3b8b464633e022 |
as {{formula:b85e7e4f-7178-42f4-84ba-964926e4d6ee}} is finite for every {{formula:f13d0d79-a55d-4a27-9226-eda24806d527}} with {{formula:34666664-1080-4abe-bcb7-233e7b8b8c1b}} , see Theorem (26) of {{cite:0bb1da6a31d9dffcd306f152edbb3b4e89e4f201}}. Next, by the submultiplicativity of the spectral norm, Lemma REF and... | r | 3609cc6a6103894cd8e45c9c26851d24 |
This localised perturbation is injected in the DNS with different initial energies. Its time evolution for the minimal initial energy able to induce turbulent bands, i.e., {{formula:896668ad-f4c5-4bdf-a27f-1a1f74f6e05a}} , is reported in figure REF . At first, the oblique streaks increase their amplitude ({{formula:e8b... | r | 11dbe27dd66fed6b153a7abdafc6b144 |
Various phenomenological and experimental investigations on top
quark hadro-production with top mass renormalized in the {{formula:e3afc283-224e-4fc6-a9c4-4bb762ba33c6}} scheme
already exist in the literature (see e.g. {{cite:b68bace6749f65689cc7751aedff07acf56c6855}}, {{cite:45affdc93d3d1344bc5c393bd0ecbd13f8932bc7}}... | i | 1357c94d6e503ed75269a60e48ffaf34 |
To maximize spectral efficiency up to tens of bps/Hz and conserve energy, the researchers in {{cite:d016e652a131348a0854a320fc699dcff5898e49}}, {{cite:927636feedfec1ca7cb142d4e4c8172b75528fcd}}, {{cite:a953d776b28840089529e9d8592ad2cf5a3fd660}}, {{cite:b137b4472f300680f6505db2f3c904105bd864bd}}, {{cite:2c5c4e4f55e839ca... | i | 5e1c150c394317594ea3dbfeee74c443 |
We benchmark PLACL on six keypoint localization datasets, including LSPET {{cite:b27fa1474193041074b7c18f8e3426433136402c}}, MPII {{cite:c3555bf26fbdfbfd611b74c4e59dd10949f978c6}}, CUB-200-2011 {{cite:f29ac8c80d927963c421493a52e86a69d31021d6}}, ATRW {{cite:f80a7f2c0c4ad62b0cbbc95ec95bd720278ed434}}, MS-COCO {{cite:6944... | i | 40ec3337ff996de4d309a91135d8cae9 |
Let us make a brief comment on the generalization to other topologically ordered phases. We also study the {{formula:56c179cc-9043-4945-b593-c152e2c6295c}} modified surface code on the book-page lattice {{cite:f0d6433073f36bb9d6675552a873c277df94369f}}. One distinction from the toric code is that one can design the mo... | d | 6c5028fd572800f5b19e4c3cd986e9a5 |
The literature on characterizations of strategyproof mechanisms {{cite:f4c8755472b52d3cd47d1a47859c015729565907}}, {{cite:c81ff3a924f0018434192d0d82c428ea51852126}}, {{cite:da04a5fca62881cc7ccc44835228ab93feee15b3}} for resource allocation problems belong to the line of research initiated by the famous Gibbard-Satterth... | d | 86ee48e2a4ff5b2c3a9a2756db765e42 |
In what follows we will work on the space {{formula:1a04567b-f0ae-474e-a3fc-edb20de76a8a}} of real functions defined on an open set {{formula:1af886b6-1188-4843-8b4d-b8b3ddc4a5c8}} of {{formula:d0b59c1c-c306-402a-abfd-f4a651c86c30}} that we can assume to be the open ball {{formula:34d874d1-2007-4870-862d-9287ffc1e90... | r | a00868f8bcbe0bb400b042defee4a3a8 |
We used the function defined by Eq. REF as a loss function. For solving the ODE system, we used RK4 scheme with step size {{formula:f4d3d23c-548f-4276-aca9-708301eda26c}} equivalent to a one-month interval. For optimization, we used ADAM optimizer with default parameters for all 3 variants of the proposed method. For... | m | db5315f1cec6571922161d7e30cd3cfc |
Another feature of using a cost function for NN training, like in {{cite:d83f074a0b5fa1e494819e8c21a8c431bc8014d4}}, we can fit the boundary condition or even the data as part of the objective, and thus, include two or more terms in the cost function.
For the data fitting case, this amounts to something like the wavefi... | d | 5c005fdbca36547a8ccb6ba89d7f17d1 |
We propose a Multi-Task Learning (MTL) method (Figure REF ) for this offensive language detection task. It takes good advantage of the nature of the OLID {{cite:7099710b8c5210ca1300acd176540d4be50ed711}}, and achieves an excellent result comparable to state-of-the-art performance only with the OLID {{cite:7099710b8c521... | m | a0f063c2eb038ef7af1f6d00f9d8f4d2 |
The formulation of gravity as a `double copy' of gauge theory has been remarkably fruitful over the past decade or so; see {{cite:f12c62deb3aa7c5bb8a6c95d9b86c9d4b3556dbb}} for a review. It originated in the realisation of gravity and gauge theory as low-energy limits of closed and open strings, due to the double copy ... | i | 9705e25c16b34132106104d1bf9486f7 |
{{figure:9f52f4c0-3c10-49c0-adc6-4e51e2dbd28b}} ESPER consists of three components: 1) CLIP's non-generative image/text encoders {{cite:4e4837b9eab7c60739869b9ee509d98b181aea6f}};While we describe image modeling here, we also experiment with audio/text encoders, specifically Wav2CLIP {{cite:4baed9e2b56c8a6cbf4dda24cee2... | m | 49a608142f1aa52095ad242d67096a57 |
Several mechanisms determine the morphology of the supernova remnants
of massive progenitors. Clumpiness affecting the shock-wave propagation
can arise from wind-wind interaction as observed in the supernova remnant
Cas A {{cite:f55e0e26a82655637189c2ac074f71c8a14aeac8}}.
In addition to instabilities directly developin... | i | 7bc5dce859db39c8714cf7268c0c81f7 |
An alternative paradigm for parameter setting are methods that modify the parameter objective function itself. Indeed, one can find closed form expressions for expected cost as a function of parameters in some cases, for example MaxCut at {{formula:07f53d5e-cdf4-412d-b1ab-11c5f71b0dd9}} {{cite:46487f2f7641fe2d69714431... | i | 7fd9aeaa261a4897065b1c1aab6b4c96 |
And we take the background chemical potential perturbation as zero for simplicity.
{{formula:089c9e39-06a1-475a-b813-baced5d598bf}} is the collision term, we will discuss it in detail in next section.
The collision term and the EOM of the background field are model-dependent.
Here we use the Higgs sextic effective mod... | m | 9bfe8319d4abd09690fc511a02fe7317 |
Removing Cross-Entropy against the hard label from the loss function as done in AIT
could be a penalty, because some methods {{cite:d51149b66931daaf7dfb567c47ad0f189a8d7ff9}} rely on the sample labels.
However, as we demonstrated in sec:exp, AIT applied to Qimera was able to obtain significantly better performance de... | d | bc90037a3e12a9c0dc8b9922d18c98c1 |
ALRC can also be extended to limit losses more than a number of standard deviations below their mean. This had no effect in our experiments. However, preemptively reducing loss spikes by clipping rewards between user-provided upper and lower bounds can improve reinforcement learning{{cite:a1913d77168e87b8d8201c9b665a10... | d | 326b59f56e4a6530119dd82b6a3b3eb2 |
where {{formula:c9ed466b-70e6-4084-a60e-441666f9e8f8}} is the restored image at the {{formula:080c6691-dd6c-4fa1-b285-f51c0aa58793}} th iteration.
In all examples, the {{formula:7db87b13-b414-4bb1-a977-b3f81347be02}} equal to {{formula:d50f57ff-f2b6-4e94-be5e-887739460c56}} is selected.
In the analysis of the propo... | r | e3e5fc37b41a33b324edc7a3a3e808e0 |
In terms of generalizing both the methods and scope of our approach, we first re-emphasize that parameter optimization for parameterized quantum circuits consists of two primary components: a parameter update scheme outer loop, and a parameter objective function evaluation subroutine. The inner subroutine is typically ... | d | eb460b879c706ff79315630a3fcb4b23 |
Column Subset Selection and CUR Decomposition: In the column subset selection problem, one seeks a
small subset {{formula:bda6f623-3b7d-4f9e-8db2-a79f524498a0}} of columns of {{formula:cf018d3d-ccd4-450a-9118-ac585219e432}} for which there is a matrix {{formula:eb5871fe-baee-4c40-a705-5a063af399ad}} for which {{form... | r | fe0854a9222fbc668797c400b56eab16 |
Most of the works on Lnn has focused on relatively simpler particle-based systems such as springs and pendulums {{cite:f61d535d38f9ecde0e05be950e1b449e04f20467}}, {{cite:5f66d0071a97008bbc008f5b15eba7cb3c0e6d73}}, {{cite:a27747f1154b3ecd9de430a9d9e13bc252e72265}}, {{cite:895106eec2005cbd559faa1be4af105a7df415b4}}, {{ci... | i | 741d914b7bc947b46b771ee8e7244201 |
In order to prove that {{formula:c9a3421d-56a3-441b-b6bd-3b270e477523}} is the trace of a Radon measure we refer to Lemma REF , and define the increasing set function {{formula:886fccb8-f62e-4867-8338-0ba77077f681}} as
{{formula:9c0a20a7-6060-4579-9988-b01281d711a7}}
By defintion of {{formula:955bf961-0a36-4159-b178... | r | ba0697025854397987e91a90a2470333 |
Note that in general {{formula:52c5ee2c-5d78-4add-b71a-05a35ca8b5e0}} .
A way around this problem is to choose a space approximation such that {{formula:5be7f89c-c997-4033-91e6-c954e77fc4c0}} , such as the Scott-Vogelius mixed elements
(see {{cite:2b6f76ea4a71042365586a8ed224ded94c8900d7}} and {{cite:77c6e81a91bcc7e694... | m | 4153906f6bc6f33f3b83e325d4200447 |
In this work, we have presented a rich generalization of the hardwall model in ten dimensions, by introducing a full DBI action in the 10D-2B supergravity action to model the quark degrees of freedom. Working in ten dimensions allows us the possibilities of changing the compact part of the 10D-spacetime from {{formula:... | d | 014bc1d37bb98211ab461daa1e591b04 |
ADMM requires every node to transmit at each iteration,
so for ADMM the total number of transmissions scales directly with the number of iterations needed to achieve the desired accuracy.
[rgb]0.00,0.00,0.00Note that when ADMM is applied to linear regression,
it is possible to optimize the stepsize for different networ... | r | 9e4e03d728a41df3d705d4a886db5061 |
Note that a Markov chain is uniformly ergodic if it is irreducible (i.e., possibly gets to any state from any state) and aperiodic {{cite:6da3eb1da2771ae23b71f09ba8dbedcf67187c4e}}. As for any {{formula:7c754816-bf36-418e-a003-2f988655191f}} , {{formula:382b7406-e439-491c-aee8-0e3ca5ae1d78}} is the optimal policy for ... | r | 28f6721f939c1887904146f94d020cde |
As already noted, one can casually state that three dimensional gravity is all about the choice of boundary conditions. More precisely, the specification of boundary conditions is pivotal in comprehending how a theory that (locally) admits only a single solution. This analysis was first carried out by Brown and Henneau... | i | 05369d86929bbb98ed8702f3aad9c17e |
Source separation of acoustic signals is a long-standing problem where the conventional approach for decades has been to perform beamforming using multiple microphones. Signal processing-based beamformers that are computationally lightweight can encode the spatial information but do not effectively capture acoustic cue... | i | 37e78a5f29fb78366d65369585266d9e |
The GQME formalism provides a general framework for deriving the exact EoM for any quantity of interest.
The derivation begins with the Nakajima-Zwanzig equation {{cite:d3608f34b832ad9c20ceb79378b80f0c2b739328}}, {{cite:0397e29996037b84102cc98a87549fe500c64aec}},
which describes the dynamics of a projected state {{form... | m | 1728444dba48ecb6501b2b2588222373 |
As a demonstration of our analysis, we look at the generation of a small 4-qubit tree cluster made of finite-energy approximate GKP qubits, tracing the first few steps of the protocol followed in Ref. {{cite:e34a47d7c9082e9cc512cec10f3117fa6604617e}}.
The protocol is described step by step in Fig. REF .
While the analy... | d | 6c848702c5ed277961f3e5c3e007512c |
The dashed orange and solid green lines in Figure REF explore two different scenarios matching the Th and Eu trends simultaneously. The dashed orange line still assumes one prompt r-process source and a constant yield for Eu, but assumes metallicity-dependent Th yields where Th is boosted by a factor of 4.5 at low met... | r | 9da3ad96ae0336e653ab783fcab11f85 |
However, our framework avoids several of the limitations of the linear control framework {{cite:6e3411d842c99ad9de781783bede2bfeb0d1eca5}}, {{cite:912a1947d1d89a6a2e06b76755b72b68c332b8f8}}. First, it was possible to identify nonlinear equivalences between algorithms. Second, by considering just the Koopman eigenvalues... | d | a0da32fcef511ea012bc96a4f4bfedf9 |
In addition to be applicable to multicellular aggregates, one can wonder if similar instabilities could arise in vivo. During development, transition from solid-like to fluid-like tissue properties, tissue surface tension, and flow patterns have been shown to play a crucial role (see, e.g., {{cite:6076ff9b92daf90a4aa53... | d | 2f5ee5c170d7f634c687d1aedb3cdd39 |
Although the DEIM index selection procedure is basis-dependent, if the interpolation indices are determined, the DEIM interpolatory projector is independent of the choice of basis spanning the space Range{{formula:4298838e-e755-4ea6-940c-275a5cfa312e}} .
({{cite:405f2715eae181b1813d020ca96a844241f8a4ed}} ).
Let {{formu... | m | 2b1b8121e4bddcf89d2a11f4a8a462c7 |
An intriguing finding of this research is that we provide an empirical realization of a new central-limit theorem (CLT).
In the usual CLT, the addition of a large but fixed number of independent identically distributed random variables (with finite variance)
leads to a normal distribution, whereas in the generalized CL... | d | 3c9ccd4ce41b29dc93a011961a4edda4 |
We propose our framework for fair inference on outcomes which are measured only through error-prone proxies. To clarify the framework and make it more comparable to earlier work, we use the running example of health risk score prediction from {{cite:8a9826df53201c65d9f0bef3e14431d995d5abb8}}. Their healthcare data set ... | m | bf95b2a403bc4e09f403269055d87850 |
We follow the simulation setup used in {{cite:86eb47107d4c32730a119174055f25af166f2c8a}}. Specifically, we consider {{formula:4460c4bd-69be-4b4e-8b08-5730f86a20a3}} single-antenna APs, randomly deployed in a {{formula:42aaf99b-b840-49e1-bae4-24feb66d5dd0}} km area, serving {{formula:edeb87fa-cee0-4e78-b1e5-411693374f... | r | b4f7453a0b0c220b01cc17e3dbe3a50f |
Measuring the bounds of the PISN mass gap will provide insights into stellar evolution and fundamental physics {{cite:756c3b2a39d63d1ad410f24f373c858bcbea94cd}}, {{cite:7bcf3efe394b52ec90ecaf124a36bda2c423e4e6}}, {{cite:369c14131f2a035b34fc09c6aa92c9449f7a5cfe}}, {{cite:64e3eb2af607b0b8e09884b8e8dcd8b16314cf56}}.
Howev... | i | 040cd13e815ae9fe0459be7fd056ba6d |
Till the last decade, the field of signal processing was dominated by conventional model-based algorithms, which rely on mathematical and physical models of the real world.
Inherently, they are interpretable and often incorporate domain knowledge such as statistical assumptions, smoothness, structure of the model space... | i | 764e15f36f7fdf910b3e776b32e5e0e2 |
These results have multiple implications for using PAH emission as a proxy for other quantities. While PAH emission cannot be used on sub-kpc scales to measure accurate star formation rates, groups such as {{cite:b34974dd907eb0bb2a824b616e8c90a99a72cec9}} and {{cite:a131b85ac8b72c332e3bcf74cf05001e7878ed8a}} have sugge... | d | d0f00634589cacf7fb0de77a9209497e |
We could, if we wanted, also consider “dressing away” the sub-leading modes {{cite:794d229e31e4e26cd3d0d857127a0e157fc23ded}}. In our semiclassical model we could try adding sub-leading dressing in the same way as we dressed away the leading modes, by setting {{formula:c5b53e5c-0122-4266-83ae-09b16c69b4e2}} to zero ev... | d | 75e87494964cbfc62c31341db9ebface |
Although there are intrinsic differences between the human visual system and artificial neural networks (e.g., the global error signals required for learning via back-propagation {{cite:4c5e2a65bf8d8a363b274bbcc044a05c8e842a43}}), we argue that the current findings highlight three key similarities with biological visio... | d | 499a8142cf7d4b489faa51be888ddf70 |
Using a fully-connected ResNet block as the equilibrium model cell of width 512, we trained a number of equilibrium models where we varied 1) the forward pass (fixed point iterations vs. solver) 2) the backwards pass (backprop gradients or implicit gradients) 3) learning rate ({{formula:5b8157c8-3e46-4dcf-82fa-999f3686... | r | 0e6e73244413cc7e2a09c4d35e82fff4 |
Furthermore, there are approaches to use the closure principle to control other error rates than FWER, such as false discovery proportion tail probabilities {{cite:6c7b4a4172a6d9a155dbe61f30abb8db35becf22}}. There also exist connections between FDR and closed testing. In {{cite:b85732ea909fe379be354c1b7e2c4f0904e98b5b}... | d | a0bb153cd0f711a3688ba01131f3a73e |
Measuring generalization in the outer loop objective of meta-learning algorithms is a common training strategy {{cite:ab57203d754856c764d815d72cfeb9b193d54e16}}, {{cite:5e7ab440be5abda89440d97693431abd0bd38212}}, and can be applied here as well. For example, we could consider adapting the episode-level latent variables... | d | 64dd40c576e68ba11b5f06de1e5b3f7a |
To improve the accuracy of finite temperature perturbation theory, dimensional reduction at next to next to leading order appears to provide a recipe, reducing theoretical uncertainties to the percent level {{cite:5606ef84807b867f537d58ac7ea676aba346dec4}}. Dimensional reduction relies on the observation that in imagin... | m | ec985b58b221597a6b170e627519e025 |
For positive weights, {{formula:0ec330eb-5f22-4744-b4fa-651d8ec04042}} maximizes the weighted log-likelihood of {{formula:bf20aa60-17ab-4aad-bcf7-b4270a79bfa3}} .
The argument under the {{formula:a088271f-9ee2-43dc-b5db-337d47156062}} in the RHS of (REF ) is the negative cross-entropy
between {{formula:3ee4e7c8-2bb7... | m | 1ddd357089c70d85c3913344ae361e52 |
Previously, {{formula:88e7fe1b-2989-4ffe-9194-9f4a1a659dd7}} was used (first in {{cite:09672cf6f4c79f4a15406a2c98aa7bf96652eb33}} for one-dimensional case, and later it was extended and further developed by {{cite:71bd005d26e2d998ecab2a73e8a60aea079c0471}} for bi-variate multidimensional random vectors) for constructi... | m | c3b5e9449b7a5a39c6497e2fc8502d8b |
In Section REF , the structure equations for causal geometries with vanishing Wsf curvature are examined. It is shown that if the Lie derivative of the Fubini cubic form along the vector fields tangent to the characteristic curves is proportional to itself, then the Wsf curvature has to vanish, unless the causal geomet... | r | f95bf81f2d2d4d89cc2e106d88f519ba |
Finally, our study also sheds light on the so-called strength of weak ties phenomenon. This concept was introduced by Mark Granovetter who showed that the most common way of finding a new job is through personal contacts with distant acquaintances, and not via close friends, as one would instead have expected {{cite:61... | d | 2f977945b5f3ae2e37957ca275611d4a |
Fine tuning of the pre-trained ST-GCN model was done using several methods as detailed in TL literature {{cite:27d8e42570c7248fb317150e406124463ffa6139}}, {{cite:916f85a7aaac1f4d34ebaf6b07a746171628892f}}.
| m | ba5c4fa4f4b9bdcac2727541dcc17f0f |
Based on the previous works {{cite:64fbbdef638686bd86c6d8b892970b14344f6d34}}, {{cite:f6ac05bb6e596bc4c2c9d45d426ee5955ceb145f}}, {{cite:467f6800cd32a906564d5b4635b5be0fda5a0ecb}}, {{cite:8046f74c3637de205af347f62b68f7de2b1d0599}}, in {{cite:14eddd592416d9efba5b4d560fcad57e5bad6155}} the identity
{{formula:75cc09bc-f04... | r | 78319175b3158c4dde52808251cfc989 |
In this work the RLBM model reproduces a two-dimensional quasi-particle flow in a {{formula:eada5f47-b794-4605-816c-e7867da86b72}} by {{formula:cea14fa1-775c-4760-a83c-9b8b80cfa1c7}} sample of graphene with one or two rigid impurities obstructing the flow. The sample is simulated with a {{formula:88e0d6b4-4f42-4c49-a... | m | 14a57e745448349bcfd2bf574ec27c68 |
Remark 6 In the setting of Theorem REF above, Theorem 5.2 of {{cite:32a363557e43d9fd919ea0b6624f9f8a3df1cdd3}} yields
{{formula:a0d37a98-0c1f-414c-8211-32e29b576527}}
| r | 8bdcca44d5f8aa38499e01fa0d0b1996 |
Quantum computing recently emerged with machine learning (ML) to introduce a new field, called, quantum machine learning (QML) {{cite:aa6a3b12474187be3c817fa59fc4ec2549286300}}. Quantum computing is applied to enhance classical ML. QML is introduced in many concepts, including QML, quantum-hybrid ML, and quantum-inspir... | i | e951a3b0785f46926123f44c3f13dc0a |
For the velocity measurements, we employ constant temperature anemometry (CTA) using a hot film sensor (Dantec 55R11, 70 diameter with a 2 nickel coating, 1.3 long and up to 30 frequency response) placed in the middle of the tunnel. We note that since a CTA measurement requires negligible temperature variation of the f... | m | c42fe06afc1fd2b9b116acd582e02250 |
Our results can also be discussed in comparison to previous observations made for non-Brownian elastic fibers in 2D. For non-Brownian fibers, shape fluctuations as well as rotational diffusion are absent. {{cite:12e1ee7432ac6aaa72af5525cf9b1f78efff21c6}} and {{cite:ad62d920ff8ec782d68b6505115b690dbff951a0}} predicted t... | d | 07d874d9d89106c767656580a4dd8648 |
In {{cite:f33d618437a878ca33f8b72ca03d8579138a716e}}, it was proved that if {{formula:5fdcdd2a-4079-4975-845d-4027b239c0cd}} and {{formula:b6739b78-4e33-4759-80f4-a18238a75db3}} be conjugations on {{formula:97b5e402-31c8-4ec4-bbbb-096f2ce15ac7}} . Then {{formula:375e9c94-5111-4e1b-8d6b-029035c4d3a5}} is a conjugatio... | r | 3981e96cc0e94e7f80dc211e8e8cb3a3 |
Over the past three decades, there has been an intense amount of interest in the properties and applications of light beams carrying orbital angular momentum {{cite:7cc5e8dd845f371f5a950e698258afe6575282b3}}, {{cite:19bef73070870b99f0a31be75cc9e2845d84d522}}. These beams have been considered for optical communications ... | i | d5f45d5555a42a6a1489ab544cc7ad99 |
Black hole is one of the most fascinating objects predicted by general relativity and has attracted great interests in both theoretical and observational aspects. The recent observations of gravitational waves by advanced LIGO {{cite:8ac29feea7f0f42a36d7958f7876f23c7b6eae18}} and the photos of the shadow of a black hol... | i | 749c8daac6e4d11afbe5f3d673301da1 |
We use a similar expression at {{formula:f6a63036-37c0-4178-90d9-a6e8cdffc3a2}} . This results in a set of first-order ordinary differential equations for both the field {{formula:a74402b2-9915-4525-b834-511c89bf68b7}} and its time derivative {{formula:fb8fbed1-9e7a-4efb-aef3-e7916467cb9b}} . The equations are integra... | m | 11aa0b40a3e05544efc736082c013fa4 |
A complete introduction to power-law distributions along with a statistical framework for discerning and quantifying power-law behavior in empirical data can be found in {{cite:586f4acb335a0b12aa236289e9d1fb887aff93ed}}, whereas extensive discussions can be found in {{cite:d98f9ff0e7cee2f1a6c36491c3dc9e59555601b9}}, {{... | i | 2150c4ae1fee6435bdec06a9ea8d7df6 |
A listening test {{cite:a9908456a48f34c1b5d5e0a8128366aa83c7e704}} with 10 native Brazilian volunteers (5 male and 5 female) was conducted adopting a closed scenario of phonetic balanced words[2].
Their ages ranged from 20 to 24 years with an average of 22.
A simulated room with {{formula:4b1b93c7-7bd3-4207-8965-0afda9... | d | 47d8d256c06c406ae7e9e53d21954f87 |
Utility under DP. The baseline model over the STL-10 dataset without differential privacy (DP) achieves accuracy of {{formula:850d8420-ddec-4864-bd1e-f776d7765705}} .
Such accuracy level also appeared in prior works {{cite:89f2ea46ec9047f8c53710b6109cc8b3156ab33c}}, {{cite:8d3e133e18731f845f20662e90163a5e53cf5f63}}, an... | r | 4ba594674db9c85b77a1737aca69c41e |
Although young star clusters are well represented by single stellar populations {{cite:d59429fa0e21545ddb7d839207b4c5fa7c684d48}}, we note that some of our 8 {{formula:110c8348-79e1-4ee4-afbc-75d0586a4e58}} m luminosity estimates exceed the predictions of the instantaneous burst models for ages{{formula:2fdfd0d0-053a-4... | d | e1ed914ae9558ebf2f52b29934e641e8 |
We quantitatively evaluate our model in terms of 1-nearest neighbor accuracy (1-NNA), as proposed by Yang {{cite:b0244ac31cf10b54f8d8817fe0949d133ab0969e}} and report the Earth Mover's Distance (EMD) and Chamfer Distance (CD), as in {{cite:212a5234566b53609719b2ee88ad5cd55df2be06}}. 1-NNA measures the distributional di... | r | 191e64c6fb1a67edf8df34d272b1dc10 |
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