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arxivcap_2005.06318_7 | Title: A 28-nm Convolutional Neuromorphic Processor Enabling Online Learning with Spike-Based Retinas | Caption: Accuracy-area-energy tradeoff normalized to 28nm for SNN, ANN, CNN and BNN accelerators on MNIST. Normalization has been carried out using the node factor, except for the 10-nm FinFET node from Chen et al. <cit.> where data from <cit.> was used. Being a mixed-signal design, the chip from Buhler et al. <cit.> was not normalized. The non-preprocessed MNIST experiments reported for Chen et al. <cit.> rely on offline BP-based BNN training. MNIST results for TrueNorth <cit.> are reported in <cit.>.
| 2005.06318_7.jpg |
arxivcap_1702.06506_5 | Title: PixelNet: Representation of the pixels, by the pixels, and for the pixels | Caption: Qualitative results for edge detection. Notice that our approach generates more semantic edges for zebra compared to HED <cit.>. There are more similar examples of eagle, and giraffe in Appendix <ref>. Best viewed in the electronic version. | 1702.06506_5.jpg |
arxivcap_1902.04003_30 | Title: Stabilized MorteX method for mesh tying along embedded interfaces | Caption: The effect of $m_c$ on $\lambda_{rr}$ along $\Gamma_{}^*$: (a) with standard Lagrange multiplier spaces ($\kappa=1$), (b) with coarse grained Lagrange multiplier spaces ($\kappa{\approx}m_c$). | 1902.04003_30.jpg |
arxivcap_2012.05294_9 | Title: A modified Susceptible-Infected-Recovered model for observed under-reported incidence data | Caption: {Daily COVID-19 incidence and fraction of reported cases for Panama from March 10, 2020 to May 18, 2021.} | 2012.05294_9.jpg |
arxivcap_2212.13254_14 | Title: Modeling high-entropy transition-metal alloys with alchemical compression | Caption: a. Cowley's short-range parameters for the first shell in IrPdPtRhRu HEA, shown for the 10 replicas between 500 and 933 K, averaged over the last 1000 frames and with an error estimation from independent repetition runs. The most pronounced local order can be seen for the Pd-Pd atom pair (light green line, mathematically smallest SRO). Demonstration of the phase segregation tendency by highlighting the b. PdPt and c. IrRhRu atoms in an MC/MD snapshot. | 2212.13254_14.jpg |
arxivcap_2303.14707_8 | Title: Clean-NeRF: Reformulating NeRF to account for View-Dependent Observations | Caption: Qualitative evaluation on geometry correction. Without geometry correction NeRF tends to generate floaters. | 2303.14707_8.jpg |
arxivcap_1912.05163_6 | Title: TANet: Robust 3D Object Detection from Point Clouds with Triple Attention | Caption: Visualization of learned feature map and predicted confidence score. The first row shows the ground-truth detection on 2D image and 3D point clouds. The second and third row illustrates the learned feature map and the predicted confidence score of PointPillars and our methods, respectively. We highlight some crucial areas for each feature map with a yellow rectangular box. | 1912.05163_6.jpg |
arxivcap_2305.05347_7 | Title: On the onset delays of solar energetic electrons and protons: Evidence for a common accelerator | Caption: The left panel shows the calculated maximum omni-directional intensity as a function of longitude (i.e. magnetic connection), the middle panel the onset delay in minutes, and the right panel the peak delay in hours. The horizontal dashed line in the left panel indicates 50% of the peak value. Simulations are performed for electrons and protons of different energies as indicated on the legend. All measurements are taken from <cit.>. | 2305.05347_7.jpg |
arxivcap_2202.00146_3 | Title: Evaluating Deep Vs. Wide & Deep Learners As Contextual Bandits For Personalized Email Promo Recommendations | Caption: Architectures used for the wide (A), deep (B) and wide & deep models (C). Italic numbers in square brackets indicate model versions with different inputs (See Table <ref>). | 2202.00146_3.jpg |
arxivcap_1702.06506_6 | Title: PixelNet: Representation of the pixels, by the pixels, and for the pixels | Caption: Segmentation results on PASCAL-Context 59-class. Our approach uses an MLP to integrate information from both lower ($1_2$) and higher (conv-7) layers, which allows us to better capture both global structure (object/scene layout) and fine details (small objects) compared to FCN-8s. | 1702.06506_6.jpg |
arxivcap_1906.05326_4 | Title: Magnetism and superconductivity in Fe$_{1+y}$Te$_{1-x}$Se$_x$ | Caption: (a) $\chi''(\bQ,E)$ as a function of energy in Fe$_{1+y}$Te ($y = 0.09$) for $\bQ = (0,0.45)$ at 10 K, 80 K and 300 K. Lines are fits to the imaginary dynamical susceptibility of a damped harmonic oscillator (DHO). (b) Square of the effective magnetic moment obtained by integrating the $S(E)$, as a function of temperature. Upper (blue) symbols show the total response, bottom (red) symbols are the Bragg contribution, green symbols are the quasi-elastic contribution. Reprinted with permission from Ref. <cit.>, 2011 by the American Physical Society. | 1906.05326_4.jpg |
arxivcap_1104.3694_1 | Title: Removing bias due to finite measurement of dynamic systems: case study on P2P systems | Caption: Complementary cumulative distributions of S0l for different observation windows lengths in log-lin scale, for the {queries} dataset. Complementary cumulative distributions of S0l for observation windows lengths $l=1$ week and $l=10$ weeks in lin-log scale, for the {queries} dataset. | 1104.3694_1.jpg |
arxivcap_1111.0776_5 | Title: Light-cone-like spreading of correlations in a quantum many-body system | Caption: Instantaneous propagation velocity. We compare the instantaneous velocity $v(d_{0})$ predicted by our analytical model (points) with the one derived from numerical simulations (circles). The agreement is excellent at $U/J=20$ (left panel) and qualitatively good at $U/J=9$ (right panel). Error bars denote the 68 % confidence interval of the fit. The dashed line represents the asymptotic expression (<ref>). Arrows point to the maximum velocity $v_{\text{max}}$ at the given interaction strength. The signal position was obtained using the procedure described in the Methods Summary section for the numerical simulations. | 1111.0776_5.jpg |
arxivcap_2202.13734_1 | Title: Missing Value Estimation using Clustering and Deep Learning within Multiple Imputation Framework | Caption: MICE imputed data have shown to yield superior and robust classification accuracy compared to single imputation methods, e.g., median and K-nearest neighbor. | 2202.13734_1.jpg |
arxivcap_1401.8053_9 | Title: Hallucinating optimal high-dimensional subspaces | Caption: Mean class separation increase achieved, as a function of size of the low-scale images. Shown is the ratio of class separation when subspaces are matched using the proposed method and the naïve re-projection method. Unlike in the plots obtained from face matching experiments in Figure <ref>, the nature of variation across different scales here appears less regular. It is likely that the reason lies in the large (and variable in shape) area of the background present in the object images. | 1401.8053_9.jpg |
arxivcap_2202.01539_6 | Title: Electronic energies from coupled fermionic 'Zombie' states imaginary time evolution | Caption: Imaginary time propagation for basis sets containing 50, 30 and 10 basis functions the first being the six electron restricted Hartree Fock determinant and the rest being biased Zombie state basis functions. The details of how each electron is biased are summarised in table <ref>. The eigenvalue for the Li$_2$ ground state obtained by diagonalising the Slater determinant basis is given, as the solid horizontal line, for comparison. The cleaned energies, found by $E(6e)/N(6e)$, are shown as dashed lines. | 2202.01539_6.jpg |
arxivcap_2012.05442_1 | Title: Bipartite Graph Embedding via Mutual Information Maximization | Caption: An example of user-movie bipartite graph. The orange shaded area represents a underlying community structure where three movies may share similar genres. The blue dotted lines denote the long-range dependency between "Lily" and "Ice Age". However, these global properties are hard to be well learned from local graph structures. | 2012.05442_1.jpg |
arxivcap_2108.09603_10 | Title: Tensor Pooling Driven Instance Segmentation Framework for Baggage Threat Recognition | Caption: Block diagram of the proposed framework. The input scan is passed to the tensor pooling module to extract the tensor representations encoding the baggage items' contours at different orientations. These representations are fused into a single multi-scale tensor and passed afterward to an asymmetric encoder-decoder backbone that segments and recognizes the contraband item's contours while suppressing the rest of the baggage content. For each detected contour, the corresponding bounding box and mask is generated to localize the detected contraband items. The abbreviations are CV: Convolution, BN: Batch Normalization, SPB: Shape Preserving Block, IB: Identity Block, MP: Max Pooling, AP: Average Pooling, ZP: Zero Padding, SM: Softmax. | 2108.09603_10.jpg |
arxivcap_1902.04003_31 | Title: Stabilized MorteX method for mesh tying along embedded interfaces | Caption: Plate with a hole: (a) overlapping domain setting, (b) discretized overlapping domains, (c) monolithic discretization used to obtain the reference solution. | 1902.04003_31.jpg |
arxivcap_2303.14710_2 | Title: Asymptotic analysis and efficient random sampling of directed ordered acyclic graphs | Caption: Decomposition of DOAG labelled transition matrices based or their content near the top of the diagonal. The symbols $\mathcal D$ and ${\mathcal D}^\star$ respectively represent the set of all possible DOAG labelled transition matrices the set of all of those matrices such that $a_{1,2} > 0$. The stars $(\star)$ represent strictly positive values. | 2303.14710_2.jpg |
arxivcap_2212.13136_1 | Title: Fewer is More: Efficient Object Detection in Large Aerial Images | Caption: Comparisons of mainstream methods and ours for object detection in large aerial images. (a) Mainstream methods (e.g., RoI Transformer, S2ANet, and Oriented R-CNN) perform detection patch by patch, regardless of whether there are objects or not in each patch. (b) Our method only focuses on the detection of the patches with objects via OAN. Inference speed comparison between mainstream methods and ours on DOTA-v1.0 test set, using ResNet50 as backbone. Our OAN improves the speed of mainstream methods (e.g., RoI Transformer, S2ANet, and Oriented R-CNN) by more than 30.0% while with consistent improvements of accuracy (see Table <ref>). | 2212.13136_1.jpg |
arxivcap_1806.08737_19 | Title: Constraining the multiplicity statistics of the coolest brown dwarfs:
binary fraction continues to decrease with spectral type | Caption: Mean mass ratio sensitivities at the 5-$\sigma$ level for our observed sample and the two subsets from the additional late-T sample, showing the different regions of the parameter space probed by each subset. The shaded areas correspond to the 1-$\sigma$ standard deviation around the mean (solid line). On the right panel, limits of each subset are only shown for physical separations resolved around all targets in any subset. While the HST observations (blue and red curves) probe wide separations and are sensitive to low mass ratios, the Keck images (green) have a smaller inner working angle and may resolve smaller separations. | 1806.08737_19.jpg |
arxivcap_1906.05326_5 | Title: Magnetism and superconductivity in Fe$_{1+y}$Te$_{1-x}$Se$_x$ | Caption: Temperature dependence of Fe-Fe (a) and Fe-Te (b) bond lengths on cooling (blue closed) and warming (red open symbols). Resistivity (c) and magnetic susceptibility (d) measured on cooling (blue closed) and warming (red open symbols) in the same Fe$_{1.1}$Te. The hysteresis in all quantities between 40 and 50 K indicates that the transition to the monoclinic phase, with modulated Fe-Fe bond lengths, is first order. Reprinted with permission from Ref. <cit.>, 2014 by the American Physical Society. | 1906.05326_5.jpg |
arxivcap_1912.05301_1 | Title: Suspended gallium arsenide platform for building large scale photonic integrated circuits: Passive devices | Caption: Illustrative schematic of the process flow for building a suspended waveguide platform in GaAs. The process follows the standard three step process used to fabricate passive silicon photonic devices. The GaAs thickness (in nm) in each region is indicated. (a) A 70 nm GRATING etch is used to define the grating coupler in GaAs. (b) The GaAs is etched a further 50 nm to define the rib waveguides (RIB etch). (c) Finally, a 100 nm FULL etch is carried out to reach the AlGaAs layer. The exposed AlGaAs layer is selectively etched away in weak HF acid and the sample is covered with $\sim$ 2 ${\mu}m$ SiO$_{2}$. | 1912.05301_1.jpg |
arxivcap_1802.01192_8 | Title: MOCCA-SURVEY Database I: Assessing GW kick retention fractions for BH-BH mergers in globular clusters | Caption: Distinction between dynamical interactions involving an IMBH with spins calculated according to MS1 without post-merger BH (here p-m BH), with IMBH and p-m BH, and others (there is no use from filtering out cases with p-m BH and no IMBH as a separate category, because there are very few such cases). Clearly the last two categories are responsible for almost all of the high $a_{\text{fin}}$ outliers. | 1802.01192_8.jpg |
arxivcap_1111.0251_3 | Title: Integrated liquid-core optical fibers --- ultra-efficient nonlinear liquid photonics | Caption: (color online). Experimental and simulation results for 532nm pumping. Measured a) and calculated b) evolution of the output spectrum as the pump pulse energy is increased, for a pump wavelength of 532 nm. Inset of a): Photograph of the Raman lines separated in space using a prism. | 1111.0251_3.jpg |
arxivcap_2012.05362_3 | Title: Kineverse: A Symbolic Articulation Model Framework for Model-Agnostic Mobile Manipulation | Caption: Results of the EKF estimator evaluation. Top: The EKF estimates the state reliably within a low margin of configuration space error. Bottom: The mean duration of a prediction and update step rises with the number of DoF but remains online-capable. The stark increase in iteration duration is caused by the rotational DoF in the model. These generate larger observations and are thus more computationally expensive. | 2012.05362_3.jpg |
arxivcap_1702.06506_7 | Title: PixelNet: Representation of the pixels, by the pixels, and for the pixels | Caption: Surface normal map estimated on single 2D images from NYU-v2 depth dataset. We show two examples as how the analysis from pixel-level prediction improved the results from MarrRevisited (Bansal et al. <cit.>). The normals of painting on wall in first row, and room-layout (left side) of second row improved from previous state-of-the-art. | 1702.06506_7.jpg |
arxivcap_2202.00199_4 | Title: RFUniverse: A Multiphysics Simulation Platform for Embodied AI | Caption: Experimental results for manipulation tasks, locomotion task and multi-agent collaboration task. Upper: The snapshots of task scenes. Bottom: The success rate-step relationship for manipulation tasks, and reward-step relationship for locomotion and navigation tasks are displayed. | 2202.00199_4.jpg |
arxivcap_2206.01855_10 | Title: A possible surviving companion of the SN Ia in the Galactic SNR G272.2-3.2 | Caption: Left panels: spectrum of star {Gaia} EDR3 5323900211541075328 (M5-G272), taken with the {Goodman} spectrograph at the 4.1m {SOAR} telescope. In the upper panel, it is corrected for a reddening {E(B - V)} = 0.532 and superposed to the template for a M1 dwarf with solar metallicity, while in the lower panel it is compared with the template for a M2 dwarf with the same metallicity but without correction for reddening there. Right panels: spectrum of the same star, taken with the {MIKE} spectrograph at the 6.1m {Clay} telescope, covering a similar wavelength range. In the upper panel, it is superposed to the template for a M1V star with solar metallicity and corrected for a reddening {E(B - V)} = 0.532. In the lower panel, it is superposed to the template for a M2V star, also with solar metallicity, without correcting for reddening. Observed and template spectra have been normalized by dividing by a constant equal to the mean value of the fluxes in the spectral range 6950-7000 Å. The {MIKE} spectrum has been degraded to a resolution R$\sim$2000, analogous to that of the {BOSS} templates used by the {PyHammer} code. All spectra have been sampled with a pixel size of 1.298 Å per pixel. | 2206.01855_10.jpg |
arxivcap_2202.13734_2 | Title: Missing Value Estimation using Clustering and Deep Learning within Multiple Imputation Framework | Caption: The number of monotone patterns versus the percentage of missing values for MAR, MCAR and MNAR type of missingness for default of credit card clients data set. | 2202.13734_2.jpg |
arxivcap_2303.14710_8 | Title: Asymptotic analysis and efficient random sampling of directed ordered acyclic graphs | Caption: The memory layout used for storing DOAGs during the generation. The labels on the vertices of the DOAG on the left correspond to the order in which they are consumed by the decomposition. Each vertex on the left corresponds to a cell of the main array on the right. Each cell (except for the last one) has a pointer to an array of vertices representing its outgoing edges (here represented as integers for readability but stored as pointers in practice). For instance the cell labelled $1$ has three outgoing edges to the vertices labelled $7$, $8$ and $4$. | 2303.14710_8.jpg |
arxivcap_1806.08737_20 | Title: Constraining the multiplicity statistics of the coolest brown dwarfs:
binary fraction continues to decrease with spectral type | Caption: Same as Figure <ref> for the mid-T sample. Top: minimum mass ratios detectable around the 2 targets from <cit.> at the 5-$\sigma$ level in the Keck/NIRC2 $H$-band images. The blue star indicates the position of the secondary companion W1841$+$7000B. The binary companion was masked before computing the contrast curve around the primary W1841$+$7000A. Bottom: same as top panels for the 22 targets from <cit.> in the HST/WFC3 F127M images. | 1806.08737_20.jpg |
arxivcap_2305.05347_9 | Title: On the onset delays of solar energetic electrons and protons: Evidence for a common accelerator | Caption: The calculated proton and electron onset delays (the different symbols) compared to the measurements of <cit.>. The left panel shows the model results for different source sizes, while the right panel also assumes a lower background level in the model. | 2305.05347_9.jpg |
arxivcap_2108.09666_1 | Title: Relational Embedding for Few-Shot Classification | Caption: Relational embedding process and its attentional effects. The base image features are transformed via self-correlation to capture structural patterns within each image and then co-attended via cross-correlation to focus on semantically relevant contents between the images. (a), (b), and (c) visualize the activation maps of base features, self-correlational representation, and cross-correlational attention, respectively. See Sec. <ref> for details. | 2108.09666_1.jpg |
arxivcap_2205.02212_4 | Title: Quantum Computing Approaches for Mission Covering Optimization | Caption: QPU & Simulated Results (a) Average relative cost versus the number of qubits used. The relative cost is the mission cost obtained minus the lowest possible mission cost that can be achieved (while keeping constraints) for the problem. The lowest possible cost is found by brute force. Negative relative costs must mean that the solution violated constraints. (b) Average number of constraints of each method versus the number of qubits used. The number of constraints counts up how many extras qubit are on within a column in the matrix view representation plus the absolute difference of qubits on within a row between resource sets ($\RSet_1$ and $\RSet_2$). This count includes the amount of columns that do not have any qubits on at all. | 2205.02212_4.jpg |
arxivcap_1902.03990_3 | Title: Fusion Rules for Distributed Detection in Clustered Wireless Sensor Networks with Imperfect Channels | Caption: Tail Bounds for false alarm probability and detection probability. The SNs transmission power is $P_0 = 1$ and the CHs transmission power is $P_m = 1,\, \forall m$. | 1902.03990_3.jpg |
arxivcap_2012.05362_6 | Title: Kineverse: A Symbolic Articulation Model Framework for Model-Agnostic Mobile Manipulation | Caption: Symbolic representation of the forward kinematics of a drawer and its handle, including positional limits.. | 2012.05362_6.jpg |
arxivcap_1906.05326_6 | Title: Magnetism and superconductivity in Fe$_{1+y}$Te$_{1-x}$Se$_x$ | Caption: (a) $P4/nmm$ unit cell of the square-lattice structure of a layer of FeTe projected onto the $a$-$b$ plane; (b) bond-order wave (BOW) pattern of zigzag chains together with the bicollinear magnetic structure. Reprinted with permission from Ref. <cit.>, 2014 by the American Physical Society. | 1906.05326_6.jpg |
arxivcap_2012.05334_1 | Title: Tube-based Guaranteed Cost Model Predictive Control Applied to Autonomous Driving Up to the Limits of Handling | Caption: Representation of the proposed conic-bounded uncertain tire model (red solid region) and its relation to the "brush" tire model (blue solid line) and the slip angle with peak tire force (black dash-dot line). | 2012.05334_1.jpg |
arxivcap_2005.06338_1 | Title: Neural Architecture Search for Gliomas Segmentation on Multimodal Magnetic Resonance Imaging | Caption: An instance of MRI slices in four modalities and the annotated tumor delineations. `Sagittal', `Coronal' and `Axial' are terminologies indicating the three dimensions. Different colors in the last column represent different levels of tumor tissues: red for the necrotic and non-enhancing tumor core, yellow for the enhancing tumor core, and blue for the edema <cit.>. (Bear in mind the colors are just for illustration purposes but not reflecting the real contrast.) | 2005.06338_1.jpg |
arxivcap_1912.05301_3 | Title: Suspended gallium arsenide platform for building large scale photonic integrated circuits: Passive devices | Caption: (a) Measured fiber to fiber transmission spectrum of a representative grating coupler with parameters, period ($\Lambda$) = 660 nm, duty cycle ($\eta$) = 0.5 and etch depth ($d$) 70 nm. The fiber array was angled at 12 deg. and the coupling was optimised for maximum transmission. An SEM image of a fabricated grating coupler before oxide encapsulation is shown in the inset. (b) Cross-section image of a GaAs rib waveguide after silicon oxide encapsulation, showing the bottom air gap is reduced to $\sim$ 1.3 ${\mu}m$. The rigid anchoring of the structure at the ends, due to the oxide encapsulation, is indicated by the red box. | 1912.05301_3.jpg |
arxivcap_2303.14786_1 | Title: Detecting Low-Mass Perturbers in Cluster Lenses using Curved Arc Bases | Caption: Unlensed image of a circle (on the left) and the image of the circle after it is lensed in the curved arc basis with parameters $\lambda_\mr{tan} = 6$, $\lambda_\mr{rad} = 1$, $s_\mr{tan} = 0.1$ (on the right). | 2303.14786_1.jpg |
arxivcap_2202.00203_1 | Title: Constraining low redshift [CII] Emission by Cross-Correlating FIRAS and BOSS Data | Caption: Each interferogram measured by FIRAS was multiplied by an apodization function before Fourier transforming. The result is that the FIRAS maps show the true sky spectrum convolved by the Fourier transform of that apodization function. We call this Fourier transformed apodization function the FIRAS frequency response function, $A(\Delta \nu)$, and plot it here. | 2202.00203_1.jpg |
arxivcap_1906.05326_7 | Title: Magnetism and superconductivity in Fe$_{1+y}$Te$_{1-x}$Se$_x$ | Caption: Magnetic dynamical structure factor for (a) FeSe and (b) FeTe calculated with a combination of DMFT and DFT approaches. The maximum of the intensity color map (corresponding to dark red) is indicated at the upper right of each panel. Reprinted with permission from Ref. <cit.>, 2014 Springer Nature. | 1906.05326_7.jpg |
arxivcap_1401.8053_10 | Title: Hallucinating optimal high-dimensional subspaces | Caption: Bicubic projection model - the inferred most similar modes of variation contained within two subspaces representing face appearance variation of the same person in different illumination conditions and at different training scales. In each subfigure, which corresponds to a different training-query scale discrepancy, the top pair of images represents appearance extracted by the naïve algorithm of Section <ref> (as the left-singular and right-singular vectors of ${\mathbf{B}_Y}^T~\mathbf{B}^*_X$); the bottom pair is extracted by the proposed method (as the left-singular and right-singular vectors of ${\mathbf{B}_Y}^T~\mathbf{B}_{Xc}$). | 1401.8053_10.jpg |
arxivcap_2303.06731_1 | Title: A note on the physical process first law of black hole mechanics | Caption: Penrose diagramm sketching a piece of matter falling into a black hole (blue arrow). The null event horizon is represented in red, and is defined as the boundary of the past of future null infinity, as usual. The apparent horizon is a dashed black line. | 2303.06731_1.jpg |
arxivcap_2202.01539_8 | Title: Electronic energies from coupled fermionic 'Zombie' states imaginary time evolution | Caption: Imaginary time propagation using Gram Schmidt orthogonalisation and the complete random basis for Li$_2$. The final energies of each state correspond accordingly: State 1 is the neutral ground state; states 2 and 3 are the degenerate anion states and state 4 is the first neutral excited state. These values equal the eigenvalues obtained by diagonalizing the complete Slater determinant basis which have been shown with the dashed lines. | 2202.01539_8.jpg |
arxivcap_2012.05334_4 | Title: Tube-based Guaranteed Cost Model Predictive Control Applied to Autonomous Driving Up to the Limits of Handling | Caption: Comparison for the proposed maximal RCI set (in blue) and Beal's envelope from <cit.> (in red), at speeds $ 10 m/s $, $ 15 m/s $, and $ 20 m/s $. | 2012.05334_4.jpg |
arxivcap_1806.08737_21 | Title: Constraining the multiplicity statistics of the coolest brown dwarfs:
binary fraction continues to decrease with spectral type | Caption: Marginalised posterior probability distributions of all binary parameters from our MCMC analysis (diagonal) and correlation among all pairs of parameters (triangle plot). Normalised histograms at the ends of rows are marginalised over all other parameters. In histograms, solid lines show the best-fit values and dashed lines show the 68% (1-$\sigma$) credible intervals calculated using a highest density region approach. The black contour lines in the correlation plots correspond to regions containing 68%, 95% and 99% of the posterior. | 1806.08737_21.jpg |
arxivcap_2108.09666_5 | Title: Relational Embedding for Few-Shot Classification | Caption: Co-attention comparison with CAN <cit.>. Our CCA better attends to common objects against confusing backgrounds. | 2108.09666_5.jpg |
arxivcap_2303.06827_1 | Title: Kernel Density Bayesian Inverse Reinforcement Learning | Caption: Marginalized posterior distribution in a $2\times2$ Gridworld where the data generating reward function $R^{\star}=[0, 0, 0, 1]$. The dashed vertical lines display the true reward in each state. Each algorithm's mean estimated reward is shown using vertical colored lines. The x-axis corresponds to the numeric value of the sampled reward marginalized by the given state. KD-BIRL's and BIRL's marginal posterior distributions are more concentrated around the true reward $R^{\star}$ compared to those of AVRIL. | 2303.06827_1.jpg |
arxivcap_2212.13136_2 | Title: Fewer is More: Efficient Object Detection in Large Aerial Images | Caption: OAN architecture. It is a fully-convolutional network built on the CNN backbone. Here, C5 denotes the feature maps of the last stage of ResNet50. All the numbers are computed with a 1024$\times$1024 input patch. Illustration of sample assignment. (a) The definitions of positive and negative samples (1 for positive and 0 for negatives). (b) An example of sample assignment. | 2212.13136_2.jpg |
arxivcap_1104.4302_5 | Title: Rank Minimization over Finite Fields: Fundamental Limits and Coding-Theoretic Interpretations | Caption: Plot of $\alpha_{\mathrm{crit}}$ against $\log_2(q)$ for our work (TBD Corollary <ref>), the converse in Corollary <ref> and Emad and Milenkovic (EM) <cit.>. | 1104.4302_5.jpg |
arxivcap_1111.0239_1 | Title: Correlated phases of bosons in the flat lowest band of the dice lattice | Caption: (Color online) Figure showing the structure of the dice lattice, highlighting a rectangular unit cell and negative hoppings on three bonds (double hatched) that realize the case of flux density $n_\phi=\frac{1}{2}$. The blue contour highlights the extent of a maximally localized single-particle wavefunction in the flat lowest band. Localized states centered around all six-fold connected sites of the lattice (encircled) form an orthonormal basis for this band, and lie on a triangular lattice. | 1111.0239_1.jpg |
arxivcap_1906.05326_8 | Title: Magnetism and superconductivity in Fe$_{1+y}$Te$_{1-x}$Se$_x$ | Caption: Magnetization-density correlations in real and reciprocal space for plaquette spin-liquid models. (A-C) Height indicates absolute magnitude of the correlated magnetization density assuming isotropic atomic magnetization density. Color represents the relative amplitude of magnetic correlation, for interplaquette correlation length equal to $\sqrt{2}a$. (A) Ferromagnetic UUUU plaquette, with propagation wave vector $(0.5,0)$, corresponding to a checkerboard order. (B) Antiferromagnetic UDUD plaquette, with wave vector $(0.5,0)$, corresponding to bicollinear order. (C) Same plaquette as (B), but with ${\bf Q}=(0.5,0.5)$, corresponding to stripe order. (D-F) show the resulting scattering patterns in reciprocal space, averaged over all possible plaquette orientations to restore the macroscopic $C_4$ symmetry. Reprinted with permission from Ref. <cit.>, 2015 National Academy of Sciences. | 1906.05326_8.jpg |
arxivcap_1802.01268_5 | Title: ASMCNN: An Efficient Brain Extraction Using Active Shape Model and Convolutional Neural Networks | Caption: Sub-rectangles and differences between brain shapes in different groups. | 1802.01268_5.jpg |
arxivcap_2305.05347_10 | Title: On the onset delays of solar energetic electrons and protons: Evidence for a common accelerator | Caption: Onset delays for protons, similar to Fig. <ref>, but simulations are now performed for different background levels in the model. | 2305.05347_10.jpg |
arxivcap_2303.14786_5 | Title: Detecting Low-Mass Perturbers in Cluster Lenses using Curved Arc Bases | Caption: Posterior probability distributions of the perturber parameters for the four different data sets with different perturber positions. The colors match the colors used in Fig. <ref> for each perturber. | 2303.14786_5.jpg |
arxivcap_2202.13734_3 | Title: Missing Value Estimation using Clustering and Deep Learning within Multiple Imputation Framework | Caption: Normalized root mean squared error (NRMSE) comparison between MICE (linear regression-MICE or LR-MICE) and non-MICE algorithms (iterative SVD, matrix factorization, K-nearest neighbor (KNN)). The test data are missing at random (MAR). | 2202.13734_3.jpg |
arxivcap_2012.05411_2 | Title: Plasma Switch-Based Technology for High-Speed and High-Power Impedance Tuning | Caption: A simplified schematic diagram (interconnect transmission lines omitted for clarity) of the proof-of-concept impedance tuner. Labeled component values and models can be found in Table <ref>. | 2012.05411_2.jpg |
arxivcap_2005.06338_9 | Title: Neural Architecture Search for Gliomas Segmentation on Multimodal Magnetic Resonance Imaging | Caption: Evaluation results of the 3D-U-Net (pink colored) and the NAS-3D-U-Net (blue colored). The first row indicates the results on the training dataset and the second row is for the testing set. Each colum represents one metric evaluation for three tumor subrigions. The median (red line), 25% quantile, 75% quantile have been included in the box acommpanied by the 1.5 inter-quartile-ranged whiskers and the mean values (black stars). | 2005.06338_9.jpg |
arxivcap_1802.01268_13 | Title: ASMCNN: An Efficient Brain Extraction Using Active Shape Model and Convolutional Neural Networks | Caption: Result image on transverse and coronal plane for IBSR, LPBA, OASIS dataset. | 1802.01268_13.jpg |
arxivcap_2202.00203_2 | Title: Constraining low redshift [CII] Emission by Cross-Correlating FIRAS and BOSS Data | Caption: Mollweide projection of the FIRAS inverse-noise weights for emission at $z\sim0.52$. We zero the weights at all regions that do not overlap with the CMASS galaxy survey. Although this plot only shows the weights for the single frequency bin centered at $z\sim0.52$, the angular distribution of the weights is identical for all frequencies. The frequency dependence of the weights can be inferred from the orange curve of Figure <ref>. | 2202.00203_2.jpg |
arxivcap_2303.06827_2 | Title: Kernel Density Bayesian Inverse Reinforcement Learning | Caption: KD-BIRL requires fewer instances of forward RL to generate samples with lower EVD in a $4\times4$ Gridworld where only the state [3, 3] receives a reward of 1.0. The BIRL reward samples continue to have high EVDs even with many instances of RL (each corresponding to an iteration of MCMC), and AVRIL only performs RL once, but the resulting EVDs stagnate. | 2303.06827_2.jpg |
arxivcap_2108.09666_9 | Title: Relational Embedding for Few-Shot Classification | Caption: Effects of on ImageNet. "w/ " captures fine details between two images while "w/o " often fails. The "base feature map" and "" columns visualize average channel activations. The "w/ " and "w/o " columns visualize co-attention maps. | 2108.09666_9.jpg |
arxivcap_2205.02212_5 | Title: Quantum Computing Approaches for Mission Covering Optimization | Caption: (a) Initial State Layout. The initial state is similar to the QAOA case except with additional ID qubits to be used to support the constraint mixer. Each column of ID qubits form a unique binary number for that resource within its resource set. (b) First Control Dual-Swap Operation. Through mixing, resource 2 is allocated to mission 2. In order to not violate the row constraint, resource 6 from $\RSet_2$ is allocated using a Dual-Swap gate with controls on the ID qubits. (c) Column Swap. The mixing operator can never produce the valid solution where just resource 4 and 6 are paired to mission 2 using just Controlled Dual-Swap Operations. Therefore, column-swap operations are permitted, which swap any two columns in the table within its resource set. Here, resource 2 and 4 in resource set $\RSet_1$ have there entire columns swapped. (d) Second Control Dual-Swap Operation. This operation is exactly the same as (b), but using the Control Dual-Swap operator to unallocate resource 4 from mission 2 to mission $U$. Notice that the Control Dual-Swap operator has its control configuration identical on both resource 4 and 6 ID-qubit columns; this is to ensure that the row constraint cannot be violated. Violation occurs when leaving resource 6 with no pair on mission 2. | 2205.02212_5.jpg |
arxivcap_2012.05411_7 | Title: Plasma Switch-Based Technology for High-Speed and High-Power Impedance Tuning | Caption: A measured state transition transient of the proof-of-concept impedance tuner from the 00 state to the 01 state with a 3 GHz input signal. The plotted trace is the measured output waveform of the tuner with 40 dB of additional attenuation. Time 0 is aligned to the bias on point. | 2012.05411_7.jpg |
arxivcap_1109.6687_1 | Title: Extending the Tamari lattice to some compositions of species | Caption: Hasse diagrams of three classical lattices in this paper: Weak order on $\Fs_4$, Tamari lattice $\Fy_4$ and Boolean lattice $\Fq_3$. | 1109.6687_1.jpg |
arxivcap_1802.01268_14 | Title: ASMCNN: An Efficient Brain Extraction Using Active Shape Model and Convolutional Neural Networks | Caption: 2D Box plots of Dice coefficient, Jaccard index, Average Hausdorff distance, Sensitivity and Specificity for IBSR dataset. | 1802.01268_14.jpg |
arxivcap_1111.0239_2 | Title: Correlated phases of bosons in the flat lowest band of the dice lattice | Caption: (Color online) (a) The projective dynamics within the low energy band of the dice lattice at flux $n_\phi=1/2$ realizes an effective model on a triangular lattice with an enlarged magnetic unit cell of two distinct triangular sites A and B. (b) The density-density interactions of the dice Hamiltonian (<ref>) give rise to the five distinct processes i)-v), including an on-site (i) and nearest-neighbor (ii) interactions, coherent hopping of pairs of particles onto the same (iii) and two distinct neighboring sites (iv), and a stimulated hopping process (v). Hoppings are shown as arrows, density interactions as dotted lines. Processes (iv) and (v) have a nontrivial dependency on the gauge from (vi), see main text. c) Signs for the processes (iv,v) in the real gauge of Fig. <ref>: these processes involve sites on a triangular plaquette, of which there are four types classified by the participating sublattice indices [empty (A) / full (B) circles]; in addition one of the three sites carries two creation/annihilation operators (marked by a hexagon). | 1111.0239_2.jpg |
arxivcap_2012.05411_9 | Title: Plasma Switch-Based Technology for High-Speed and High-Power Impedance Tuning | Caption: A simplified schematic diagram (interconnect transmission lines omitted for clarity) of the proof-of-concept impedance tuner. Labeled component values and models can be found in Table <ref>. | 2012.05411_9.jpg |
arxivcap_2206.01855_11 | Title: A possible surviving companion of the SN Ia in the Galactic SNR G272.2-3.2 | Caption: Posterior distributions of the parameters of the analysis of the {MIKE} spectrum using our Bayesian code to derive the effective temperature $T_{\rm eff}$, surface gravity $\log g$, metallicity [Fe/H], rotational velocity $V_{\rm rot}$, and relative radial velocity $V_{\rm rel}$. A fixed $T_{\rm eff}$ of about 3800 K has been assumed here. | 2206.01855_11.jpg |
arxivcap_1902.03990_5 | Title: Fusion Rules for Distributed Detection in Clustered Wireless Sensor Networks with Imperfect Channels | Caption: Detection performance and the power saving percentage achieved using the LFR-PA rule at $P_0 = 5$ and $P_m = 2$ and the following conditions: (1) $\SNR_{f,m} = \SNR_{c,m} = 2\text{dB}$, (2) $\SNR_{f,m} = 2$ and $\SNR_{c,m} = 5\text{dB}$ and (3) $\SNR_{f,m} = 5$ and $\SNR_{c,m} = 2\text{dB}$. | 1902.03990_5.jpg |
arxivcap_2005.06284_1 | Title: Pruning coupled with learning, ensembles of minimal neural networks, and future of XAI | Caption: Number of published papers with keywords "neural" AND "network" AND "pruning" (dotted line in the top graph), with keywords "neural" AND "network" (solid line in the top graph) and ratio, of these two amounts in the bottom graph | 2005.06284_1.jpg |
arxivcap_1912.05278_2 | Title: Metamorphic Security Testing for Web Systems | Caption: Metamorphic testing for cybersecurity. | 1912.05278_2.jpg |
arxivcap_1806.08737_22 | Title: Constraining the multiplicity statistics of the coolest brown dwarfs:
binary fraction continues to decrease with spectral type | Caption: Separation (left) and mass ratio (right) distributions for companions to stellar and substellar objects, showing the clear shift towards smaller orbital separations and higher mass ratios around lower-mass primaries. The data used to compile the figure are described in the text. The distributions derived in this work for late-T and Y brown dwarfs are shown in red. The horizontal lines show the ranges considered for each of the binary frequencies plotted in Figure <ref>, where the solid lines represent surveys that estimated overall binary fractions. | 1806.08737_22.jpg |
arxivcap_2305.05287_2 | Title: Nanomechanical Photothermal Near Infrared Spectromicroscopy of Individual Nanorods | Caption: (a) Measured absorption cross-section of a individual nanorod (red dots), compared to FEM simulated absorption spectrum in the presence of the silicon nitride substrate (black dot) and in free space (blue dots), obtained for nanorod dimensions of L = 48 nm, r = 6 nm, with the silica coating thickness of 20 nm. (b) FEM absorption cross-section at 800 nm wavelength for the same nanorod (black empty dot and solid line), and 1D averaged FEM electromagnetic intensity in the vicinity of the gold core in the presence of the substrate only (red crosses and solid line), for different silicon nitride slab thicknesses. | 2305.05287_2.jpg |
arxivcap_2202.01539_9 | Title: Electronic energies from coupled fermionic 'Zombie' states imaginary time evolution | Caption: Imaginary time propagation using Gram Schmidt orthogonalisation and the 64 Zombie state biased basis functions for Li$_2$. The final energies of each state correspond accordingly: State 1 is the neutral ground state; states 2 and 3 are the anion ground state and state 4 is the first excited state. These values equal the eigenvalues obtained by diagonalising the complete Slater determinant basis which have been shown with the dashed lines. | 2202.01539_9.jpg |
arxivcap_2212.13136_4 | Title: Fewer is More: Efficient Object Detection in Large Aerial Images | Caption: An example of large aerial image with the size of 29200$\times$27620 pixels (middle). The left and right columns are the enlargements of the corresponding patches (1024$\times$1024) from the large-sized image for better visibility. Red and green boxes are the bounding-box annotations of bridges and airplanes, respectively. From the zoomed-in patches, we can see that the objects are sparsely distributed and tend to be highly clustered in certain regions, e.g., airplanes generally appear at the airports. | 2212.13136_4.jpg |
arxivcap_2303.06827_3 | Title: Kernel Density Bayesian Inverse Reinforcement Learning | Caption: Pushing the CKDE's limits in a $5\times5$ Gridworld environment. The first panel shows $R^{\star}$, the second panel shows the KD-BIRL posterior mean, and the third and fourth panels show the training and expert demonstrations state occupancy respectively. The KD-BIRL posterior mean is within the equivalence class of $R^\star$, because the darkest square is in the upper right hand corner, even though there are some dark squares in other portions of the grid. | 2303.06827_3.jpg |
arxivcap_2202.00203_3 | Title: Constraining low redshift [CII] Emission by Cross-Correlating FIRAS and BOSS Data | Caption: The measured FIRAS beam (solid green) and our interpolation (dashed blue). The beam was measured at a frequency of $1.5$ THz via observations of the Moon. | 2202.00203_3.jpg |
arxivcap_2012.05411_14 | Title: Plasma Switch-Based Technology for High-Speed and High-Power Impedance Tuning | Caption: A measured state transition transient of the proof-of-concept impedance tuner from the 00 state to the 01 state with a 3 GHz input signal. The plotted trace is the measured output waveform of the tuner with 40 dB of additional attenuation. Time 0 is aligned to the bias on point. | 2012.05411_14.jpg |
arxivcap_1104.3706_1 | Title: Detection of a large massive circumstellar disk around a high-mass young stellar object in the Carina Nebula | Caption: Upper image: Optical image of the central part of the Carina Nebula, reproduced from the ESO photo release 1031 (http://www.eso.org/public/images/etamosaicnm2/). North is up and east to the left. The box shows the area covered by the near-infrared HAWK-I image below. Lower image: RGB composite image constructed from the $J$- (blue), $H$- (green), and $K_s$-band (red) HAWK-I images of the area around the disk object. (Note: the horizontal and vertical dark streaks are artifacts related to the dither pattern and the mosaicing process.) | 1104.3706_1.jpg |
arxivcap_1906.05326_9 | Title: Magnetism and superconductivity in Fe$_{1+y}$Te$_{1-x}$Se$_x$ | Caption: Constant-energy slices of the inelastic magnetic scattering, projected onto the $(H,K)$ plane, for (a)-(d) nonsuperconducting Fe$_{1.04}$Te$_{0.73}$Se$_{0.27}$ at 5 K; (e)-(h) superconducting FeTe$_{0.51}$Se$_{0.49}$ at 3.5 K. The time-of-flight measurements were carried out with the sample $c-$axis parallel to the incident beam. Excitation energy listed above each panel. Reprinted with permission from Ref. <cit.>, 2010 Springer Nature. | 1906.05326_9.jpg |
arxivcap_2303.14786_6 | Title: Detecting Low-Mass Perturbers in Cluster Lenses using Curved Arc Bases | Caption: Posterior probability distributions of the NFW perturber parameters for the three different data sets with different masses. The green contours correspond to "perturber 1" with mass $10^{9}\,\msun$, which is also shown in Fig. <ref>. The turquoise contours correspond to a perturber with mass $10^{8}\,\msun$, and the purple contours correspond to a perturber with mass $10^{7}\,\msun$, both placed at the same location as "perturber 1". | 2303.14786_6.jpg |
arxivcap_1802.01268_16 | Title: ASMCNN: An Efficient Brain Extraction Using Active Shape Model and Convolutional Neural Networks | Caption: 2D Box plots of Dice coefficient, Jaccard index, Average Hausdorff distance, Sensitivity and Specificity for OASIS dataset. | 1802.01268_16.jpg |
arxivcap_1912.05084_2 | Title: Bayesian Copula Density Deconvolution for Zero-Inflated Data in Nutritional Epidemiology | Caption: =10pt Exploratory plots for milk (top row) and whole grains (bottom row). Left panels: histogram of recalls $Y_{\ell,i,j}$ (red) and histogram of strictly positive recalls $Y_{\ell,i,j}(>0)$ (blue) superimposed on each other; middle panels: subject-specific means $\overline{Y}_{\ell,i}$ vs subject-specific variances $S_{Y,\ell,i}^{2}$ when multiple strictly positive recalls are available; right panels: box plots of proportion of zero recalls vs corresponding subject-specific means $\overline{Y}_{\ell,i}$. | 1912.05084_2.jpg |
arxivcap_1109.6687_3 | Title: Extending the Tamari lattice to some compositions of species | Caption: Two Hasse diagrams of the multiplihedra lattice $\Fm_4,$ labeled with painted and bi-leveled trees. | 1109.6687_3.jpg |
arxivcap_2303.06827_4 | Title: Kernel Density Bayesian Inverse Reinforcement Learning | Caption: Feature-based reward in a $10\times10$ Gridworld for $w^{\star}=[1, 1]$ (top) and $w^{\star}=[-1, 1]$ (bottom). The first images in each row visualize $w^{\star}$ projected onto the Gridworld, the second visualize the mean of the KD-BIRL posterior projected onto the Gridworld, and the third images show the joint density plots of the two weights, with the first on the x-axis and the second on the y-axis. KD-BIRL accurately infers the relative magnitude and sign of the individual weights. | 2303.06827_4.jpg |
arxivcap_2108.09666_10 | Title: Relational Embedding for Few-Shot Classification | Caption: Co-attention maps on multi-object queries on ImageNet. The proposed module can adaptively capture multiple objects in a query depending on the context of each support instance. | 2108.09666_10.jpg |
arxivcap_2202.01503_3 | Title: Global sensitivity analysis based on Gaussian-process metamodelling for complex biomechanical problems | Caption: Schematic summary of the components of the multiphase tumour-growth model. The model comprises the ECM, as the solid phase, with three fluid phases filling its pore space: host cells, tumour cells and IF. The vasculature is included as an independent porous network. Species transported by the different phases are: oxygen, nanoparticles, necrotic host cells and necrotic tumour cells (marked in italics). We consider three mass transfer terms that transport nanoparticles into and out of the IF: A. the interendothelial pathway; B. the transendothelial pathway; C. lymphatic drainage (all transfer terms are marked in bold). Drugs mediated by the nanoparticles kill tumour and host cells (marked by red lightning). The lymph system is not explicitly included in the model. | 2202.01503_3.jpg |
arxivcap_1802.01268_17 | Title: ASMCNN: An Efficient Brain Extraction Using Active Shape Model and Convolutional Neural Networks | Caption: 3D Box plots of Dice coefficient, Jaccard index, Average Hausdorff distance, Sensitivity and Specificity for IBSR dataset. | 1802.01268_17.jpg |
arxivcap_2206.01855_12 | Title: A possible surviving companion of the SN Ia in the Galactic SNR G272.2-3.2 | Caption: Normalized {MIKE} 1D spectrum of star Gaia EDR3 5323900211541075328, corrected for barycentric radial velocity, and normalized to unity using a running mean filter with a width of 200 pixels at 0.069 Å per pixel, with a signal-to-noise ratio of $\sim$ 15 at 7400 Å. We also display an interpolated SYNPLE synthetic spectrum with the stellar parameters $T_{\rm eff}=3800$ K, $\log g =4.45$ and and metallicity [Fe/H] $= -0.3$. The regions used to estimate the metallicity are shown in grey and the different lines used for chemical analysis are also highlighted. | 2206.01855_12.jpg |
arxivcap_1109.6687_10 | Title: Extending the Tamari lattice to some compositions of species | Caption: In a, b, c and d the permutohedron is oriented as in Figure <ref>. The shaded facets and edges are collapsed in succession to similarly shaded edges and points. In a the circled and starred vertices in the domain of $\phi$ are mapped one and all to the circled (respectively starred) vertex in the range, and likewise for the squared and triangled vertices in the domain and range of $\hat{\phi}$. In b both $\gamma$ and $\hat{\varphi}$ collapse a pentagon in their respective domains to a single vertex in their respective ranges. In c, the central polytope is the 3d cyclohedron. Finally in d $\eta$ takes all the starred vertices to a single vertex. | 1109.6687_10.jpg |
arxivcap_2305.05287_3 | Title: Nanomechanical Photothermal Near Infrared Spectromicroscopy of Individual Nanorods | Caption: Polar plot of the absorption cross-section of an individual nanorod measured at $\lambda_{exc} = 808$ nm as a function of the polarization angle $\theta_{pol}$ (red dots). The ratio between the absorption cross-section for a polarization parallel to the nanorod long-axis ($\theta_{pol} \approx 157.5$°) and perpendicular to it ($\theta_{pol} \approx 90$°) is roughly $\sigma_{abs, \parallel}$(808 nm)/$\sigma_{abs, \perp}$(808 nm) $\approx 100$. FEM simulations show good agreement with the measurement (black dots). Both the red and black solid curves represent the $cos^2(\theta)$ pattern. Blue dots represent nanomechanical photothermal measurements at $\lambda_{exc}$ = 513 nm. | 2305.05287_3.jpg |
arxivcap_2202.00203_4 | Title: Constraining low redshift [CII] Emission by Cross-Correlating FIRAS and BOSS Data | Caption: The simulated FIRAS angular window function, $\omega_{FIR}(\ell)$, which accounts for beam, scan, and pixelization effects. | 2202.00203_4.jpg |
arxivcap_2212.13136_7 | Title: Fewer is More: Efficient Object Detection in Large Aerial Images | Caption: 172 activated patches (1024$\times$1024) on a Gaofen-2 image (29200$\times$27620) and two zoomed-in patches with the objectness activation maps and corresponding detection results. It is worthy noting that, using our OAN, only 14% of the total 1224 patches are activated. | 2212.13136_7.jpg |
arxivcap_1111.0239_3 | Title: Correlated phases of bosons in the flat lowest band of the dice lattice | Caption: (Color online) (a) Energy per particle as a function of the filling factor $\nu=3n$ of the low-lying band for the projected Hamiltonian (<ref>) at $n_\phi=1/2$ with hardcore interactions. Finite size effects between different lattice geometries and the effect of twisted boundary conditions (band-width shown as error bars for $3\times 3$ and $3\times 4$ geometries) are small. Inset: Energy measured with respect to the tangent at points $\nu=1/2$ and $\nu=1$ (dashed line in main panel), showing that $\nu=1/2$ is the only stable phase between the crystal at $\nu=1/3$ and Mott state at $\nu=1$ for $u\gg 1$. (b) Second difference of the energy per particle. Maxima indicate potential incompressible phases, including the states at $\nu=1/3$, $1/2$ and $1$ as well as an additional weaker candidate at $\nu=2/3$ that is overridden by phase separation. | 1111.0239_3.jpg |
arxivcap_2210.09493_2 | Title: Strong lensing constraints on primordial black holes as a dark matter candidate | Caption: Joint posterior distribution of the PBH mass and mass fraction obtained from analyzing eleven strong lenses, marginalized over $\Sigma _{\mathrm{sub}}$, $\alpha$, and $\delta_{\mathrm{los}}$. The vertical dot-dash lines in the panels showning marginal likelihoods represent 95% confidence intervals. The lighter contours are 95% confidence region and the darker contours bound the 68% confidence region. | 2210.09493_2.jpg |
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