@article{17665,
  abstract     = {Finding electromagnetic (EM) counterparts of future gravitational wave (GW) sources would bring rich scientific benefits. A promising possibility, in the case of the coalescence of a supermassive black hole binary (SMBHB), is that the prompt emission from merger-induced disturbances in a supersonic circumbinary disc may be detectable. We follow the post-merger evolution of a thin, zero-viscosity circumbinary gas disc with two-dimensional simulations, using the hydrodynamic code flash. We analyse perturbations arising from the 530 km s−1 recoil of a 106 M⊙ binary, oriented in the plane of the disc, assuming either a non-radiative gamma-law or a pseudo-isothermal equation of state for the gas. We find that a single-armed spiral shock wave forms and propagates outwards, sweeping up ∼40 per cent of the mass of the disc. The morphology and evolution of the perturbations agrees well with those of caustics predicted to occur in a collisionless disc. Assuming that the disc radiates nearly instantaneously to maintain a constant temperature, we estimate the amount of dissipation and corresponding post-merger light curve. The luminosity rises steadily on the time-scale of months, and reaches few ×1043 erg s−1, corresponding to ≈10 per cent of the Eddington luminosity of the central SMBHB. We also analyse the case in which gravitational wave emission results in a 5 per cent mass loss in the merger remnant. The mass loss reduces the shock overdensities and the overall luminosity of the disc by ≈15–20 per cent, without any other major effects on the spiral shock pattern.},
  author       = {Corrales, Lia R. and Haiman, Zoltán and MacFadyen, Andrew},
  issn         = {0035-8711},
  journal      = {Monthly Notices of the Royal Astronomical Society},
  number       = {2},
  pages        = {947--962},
  publisher    = {Oxford University Press},
  title        = {{Hydrodynamical response of a circumbinary gas disc to black hole recoil and mass loss}},
  doi          = {10.1111/j.1365-2966.2010.16324.x},
  volume       = {404},
  year         = {2010},
}

@article{17686,
  abstract     = {The coalescence of a supermassive black hole binary (SMBHB) is thought to be accompanied by an electromagnetic (EM) afterglow, produced by the viscous infall of the surrounding circumbinary gas disk after the merger. It has been proposed that once the merger has been detected in gravitational waves (GWs) by LISA, follow-up EM searches for this afterglow can help identify the EM counterpart of the LISA source. Here we study whether the afterglows may be sufficiently bright and numerous to be detectable in EM surveys alone. The viscous afterglow, which lasts for years to decades for SMBHBs in LISA's sensitivity window, is characterized by rapid increases in both the bolometric luminosity and in the spectral hardness of the source. If quasar activity is triggered by the same major galaxy mergers that produce SMBHBs, then the afterglow could be interpreted as a signature of the birth of a quasar. Using an idealized model for the post-merger viscous spreading of the circumbinary disk and the resulting light curve, and using the observed luminosity function of quasars as a proxy for the SMBHB merger rate, we delineate the survey requirements for identifying such birthing quasars. If circumbinary disks have a high disk surface density and viscosity, an all-sky soft X-ray survey with a sensitivity of ~<3x10^-14 erg s^-1 cm^-2 and a time resolution of ~months could identify dozens of birthing quasars with sustained brightening rates of >10%/yr. If >1% of the X-ray emission is reprocessed into optical frequencies, birthing quasars could also be identified in optical transient surveys such as the LSST. Distinguishing a birthing quasar from other variable sources may be facilitated by the monotonic hardening of its spectrum, but will likely remain challenging. This reinforces the notion that joint EM-plus-GW observations offer the best prospects for identifying the EM signatures of SMBHB mergers.},
  author       = {Tanaka, Takamitsu and Haiman, Zoltán and Menou, Kristen},
  issn         = {0004-6256},
  journal      = {The Astronomical Journal},
  number       = {2},
  pages        = {642--651},
  publisher    = {American Astronomical Society},
  title        = {{Witnessing the birth of a quasar}},
  doi          = {10.1088/0004-6256/140/2/642},
  volume       = {140},
  year         = {2010},
}

@article{17695,
  abstract     = {Clusters of galaxies have been extensively used to determine cosmological parameters. A major difficulty in making the best use of Sunyaev–Zel'dovich (SZ) and X-ray observations of clusters for cosmology is that using X-ray observations it is difficult to measure the temperature distribution and therefore determine the density distribution in individual clusters of galaxies out to the virial radius. Observations with the new generation of SZ instruments are a promising alternative approach. We use clusters of galaxies drawn from high-resolution adaptive mesh refinement cosmological simulations to study how well we should be able to constrain the large-scale distribution of the intracluster gas (ICG) in individual massive relaxed clusters using AMiBA in its configuration with 13 1.2 m diameter dishes (AMiBA13) along with X-ray observations. We show that non-isothermal β models provide a good description of the ICG in our simulated relaxed clusters. We use simulated X-ray observations to estimate the quality of constraints on the distribution of gas density, and simulated SZ visibilities (AMiBA13 observations) for constraints on the large-scale temperature distribution of the ICG. We find that AMiBA13 visibilities should constrain the scale radius of the temperature distribution to about 50% accuracy. We conclude that the upgraded AMiBA, AMiBA13, should be a powerful instrument to constrain the large-scale distribution of the ICG.},
  author       = {Molnar, Sandor M. and Umetsu, Keiichi and Birkinshaw, Mark and Bryan, Greg and Haiman, Zoltán and Hearn, Nathan and Shang, Cien and Ho, Paul T. P. and Huang, Chih-Wei Locutus and Koch, Patrick M. and Victor Liao, Yu-Wei and Lin, Kai-Yang and Liu, Guo-Chin and Nishioka, Hiroaki and Wang, Fu-Cheng and Wu, Jiun-Huei Proty},
  issn         = {0004-637X},
  journal      = {The Astrophysical Journal},
  number       = {2},
  pages        = {1272--1285},
  publisher    = {American Astronomical Society},
  title        = {{Constraining intracluster gas models with AMiBA13}},
  doi          = {10.1088/0004-637x/723/2/1272},
  volume       = {723},
  year         = {2010},
}

@article{17697,
  abstract     = {We propose counting peaks in weak lensing (WL) maps, as a function of their height, to probe models of dark energy and to constrain cosmological parameters. Because peaks can be identified in two-dimensional WL maps directly, they can provide constraints that are free from potential selection effects and biases involved in identifying and determining the masses of galaxy clusters. We have run cosmological N-body simulations to produce WL convergence maps in three models with different constant values of the dark energy equation of state parameter, w=-0.8, -1, and -1.2, with a fixed normalization of the primordial power spectrum (corresponding to present-day normalizations of sigma8=0.742, 0.798, and 0.839, respectively). By comparing the number of WL peaks in 8 convergence bins in the range of -0.1 < kappa < 0.2, in multiple realizations of a single simulated 3x3 degree field, we show that the first (last) pair of models can be distinguished at the 95% (85%) confidence level. A survey with depth and area (20,000 sq. degrees), comparable to those expected from LSST, should have a factor of approx. 50 better parameter sensitivity. We find that relatively low-amplitude peaks (kappa = 0.03), which typically do not correspond to a single collapsed halo along the line of sight, account for most of this sensitivity. We study a range of smoothing scales and source galaxy redshifts (z_s). With a fixed source galaxy density of 15/arcmin^2, the best results are provided by the smallest scale we can reliably simulate, 1 arcminute, and z_s=2 provides substantially better sensitivity than z_s< 1.5.},
  author       = {Kratochvil, Jan M. and Haiman, Zoltán and May, Morgan},
  issn         = {1550-7998},
  journal      = {Physical Review D},
  number       = {4},
  publisher    = {American Physical Society},
  title        = {{Probing cosmology with weak lensing peak counts}},
  doi          = {10.1103/physrevd.81.043519},
  volume       = {81},
  year         = {2010},
}

@article{1772,
  abstract     = {We present the realization of a cavity quantum electrodynamics setup in which photons of strongly different lifetimes are engineered in different harmonic modes of the same cavity. We achieve this in a superconducting transmission line resonator with superconducting qubits coupled to the different modes. One cavity mode is strongly coupled to a detection line for qubit state readout, while a second long lifetime mode is used for photon storage and coherent quantum operations. We demonstrate sideband-based measurement of photon coherence, generation of n photon Fock states and the scaling of the sideband Rabi frequency with √n using a scheme that may be extended to realize sideband-based two-qubit logic gates.},
  author       = {Leek, Peter J and Baur, Matthias P and Johannes Fink and Bianchetti, R and Steffen, L. Kraig and Filipp, Stefan and Wallraff, Andreas},
  journal      = {Physical Review Letters},
  number       = {10},
  publisher    = {American Physical Society},
  title        = {{Cavity quantum electrodynamics with separate photon storage and qubit readout modes}},
  doi          = {10.1103/PhysRevLett.104.100504},
  volume       = {104},
  year         = {2010},
}

@article{1773,
  abstract     = {The quantum properties of electromagnetic, mechanical or other harmonic oscillators can be revealed by investigating their strong coherent coupling to a single quantum two level system in an approach known as cavity quantum electrodynamics (QED). At temperatures much lower than the characteristic energy level spacing the observation of vacuum Rabi oscillations or mode splittings with one or a few quanta asserts the quantum nature of the oscillator. Here, we study how the classical response of a cavity QED system emerges from the quantum one when its thermal occupation-or effective temperature-is raised gradually over 5 orders of magnitude. In this way we explore in detail the continuous quantum-to-classical crossover and demonstrate how to extract effective cavity field temperatures from both spectroscopic and time-resolved vacuum Rabi measurements.},
  author       = {Johannes Fink and Steffen, L. Kraig and Studer, Peter and Bishop, Lev S and Baur, Matthias P and Bianchetti, R and Bozyigit, Deniz and Lang, C and Filipp, Stefan and Leek, Peter J and Wallraff, Andreas},
  journal      = {Physical Review Letters},
  number       = {16},
  publisher    = {American Physical Society},
  title        = {{Quantum-to-classical transition in cavity quantum electrodynamics}},
  doi          = {10.1103/PhysRevLett.105.163601},
  volume       = {105},
  year         = {2010},
}

@article{1774,
  abstract     = {A number of superconducting qubits, such as the transmon or the phase qubit, have an energy level structure with small anharmonicity. This allows for convenient access of higher excited states with similar frequencies. However, special care has to be taken to avoid unwanted higher-level populations when using short control pulses. Here we demonstrate the preparation of arbitrary three level superposition states using optimal control techniques in a transmon. Performing dispersive readout, we extract the populations of all three levels of the qutrit and study the coherence of its excited states. Finally we demonstrate full quantum state tomography of the prepared qutrit states and evaluate the fidelities of a set of states, finding on average 95%.},
  author       = {Bianchetti, R and Filipp, Stefan and Baur, Matthias P and Johannes Fink and Lang, C and Steffen, L. Kraig and Boissonneault, Maxime and Blais, Alexandre and Wallraff, Andreas},
  journal      = {Physical Review Letters},
  number       = {22},
  publisher    = {American Physical Society},
  title        = {{Control and tomography of a three level superconducting artificial atom}},
  doi          = {10.1103/PhysRevLett.105.223601},
  volume       = {105},
  year         = {2010},
}

@article{1800,
  abstract     = {Retinitis pigmentosa refers to a diverse group of hereditary diseases that lead to incurable blindness, affecting two million people worldwide. As a common pathology, rod photoreceptors die early, whereas light-insensitive, morphologically altered cone photoreceptors persist longer. It is unknown if these cones are accessible for therapeutic intervention. Here, we show that expression of archaebacterial halorhodopsin in light-insensitive cones can substitute for the native phototransduction cascade and restore light sensitivity in mouse models of retinitis pigmentosa. Resensitized photoreceptors activate all retinal cone pathways, drive sophisticated retinal circuit functions (including directional selectivity), activate cortical circuits, and mediate visually guided behaviors. Using human ex vivo retinas, we show that halorhodopsin can reactivate light-insensitive human photoreceptors. Finally, we identified blind patients with persisting, light-insensitive cones for potential halorhodopsin-based therapy.},
  author       = {Busskamp, Volker and Duebel, Jens and Bálya, Dávid and Fradot, Mathias and Viney, Tim J and Sandra Siegert and Groner, Anna C and Cabuy, Erik and Forster, Valérie and Seeliger, Mathias W and Biel, Martin and Humphries, Peter and Pâques, Michel and Mohand-Saïd, Saddek and Trono, Didier and Deisseroth, Karl A and Sähel, José A and Picaud, Serge A and Roska, Botond M},
  journal      = {Science},
  number       = {5990},
  pages        = {413 -- 417},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Genetic reactivation of cone photoreceptors restores visual responses in retinitis pigmentosa}},
  doi          = {10.1126/science.1190897},
  volume       = {329},
  year         = {2010},
}

@article{18022,
  abstract     = {The effect of the partial antiaromaticity of biphenylene on its substitution chemistry, its oxidation potential, and its single-molecule conductance is explored. Biphenylene and fluorene molecules with linkers of two amino groups or two cyclic thioether groups were synthesized and their conduction properties were investigated using scanning tunneling microscopy (STM) break-junction techniques and DFT calculations. Despite the partial antiaromaticity of biphenylene, which causes the biphenylenes to be much more easily oxidizable, no significant increase in molecular conductance was found.},
  author       = {Schneebeli, Severin and Kamenetska, Maria and Foss, Frank and Vazquez, Hector and Skouta, Rachid and Hybertsen, Mark and Venkataraman, Latha and Breslow, Ronald},
  issn         = {1523-7052},
  journal      = {Organic Letters},
  number       = {18},
  pages        = {4114--4117},
  publisher    = {American Chemical Society},
  title        = {{The electrical properties of biphenylenes}},
  doi          = {10.1021/ol1017036},
  volume       = {12},
  year         = {2010},
}

@article{18023,
  abstract     = {We measure the conductance of single Au−molecule−Au junctions with a series of air-stable diphenylphosphine-terminated molecules using the scanning tunneling microscope-based break junction technique. Thousands of conductance versus displacement traces collected for each molecule are used to statistically analyze junction conductance and evolution upon elongation. Measured conductances for a series of alkane-based molecules exhibit an exponential decrease with increasing length, as expected for saturated molecules, with a tunneling decay constant of 0.98 ± 0.04. Measurements of junction elongation indicate strong metal−molecule binding, with a length that increases with the number of methylene groups in the backbone. Measured conductance histograms for four molecules with short, unsaturated backbones (e.g., benzene) are much broader with less well-defined peaks. These measurements are supported by density function theory calculations. The phosphine binds selectively to under-coordinated gold atoms through a donor−acceptor bond with a binding energy of about 1 eV. The calculated tunnel coupling correlates very well with experiment.},
  author       = {Parameswaran, R. and Widawsky, J. R. and Vázquez, H. and Park, Y. S. and Boardman, B. M. and Nuckolls, C. and Steigerwald, M. L. and Hybertsen, M. S. and Venkataraman, Latha},
  issn         = {1948-7185},
  journal      = {The Journal of Physical Chemistry Letters},
  number       = {14},
  pages        = {2114--2119},
  publisher    = {American Chemical Society},
  title        = {{Reliable formation of single molecule junctions with air-stable diphenylphosphine linkers}},
  doi          = {10.1021/jz100656s},
  volume       = {1},
  year         = {2010},
}

@article{18024,
  abstract     = {Using photoemission spectroscopy, we determine the relationship between electronic energy level alignment at a metal−molecule interface and single-molecule junction transport data. We measure the position of the highest occupied molecular orbital (HOMO) relative to the Au metal Fermi level for three 1,4-benzenediamine derivatives on Au(111) and Au(110) with ultraviolet and resonant X-ray photoemission spectroscopy. We compare these results to scanning tunnelling microscope-based break-junction measurements of single molecule conductance and to first-principles calculations. We find that the energy difference between the HOMO and Fermi level for the three molecules adsorbed on Au(111) correlate well with changes in conductance and agree well with quasiparticle energies computed from first-principles calculations incorporating self-energy corrections. On the Au(110) that presents Au atoms with lower-coordination, critical in break-junction conductance measurements, we see that the HOMO level shifts further from the Fermi level. These results provide the first direct comparison of spectroscopic energy level alignment measurements with single molecule junction transport data.},
  author       = {Dell’Angela, M. and Kladnik, G. and Cossaro, A. and Verdini, A. and Kamenetska, M. and Tamblyn, I. and Quek, S. Y. and Neaton, J. B. and Cvetko, D. and Morgante, A. and Venkataraman, Latha},
  issn         = {1530-6992},
  journal      = {Nano Letters},
  number       = {7},
  pages        = {2470--2474},
  publisher    = {American Chemical Society},
  title        = {{Relating energy level alignment and amine-linked single molecule junction conductance}},
  doi          = {10.1021/nl100817h},
  volume       = {10},
  year         = {2010},
}

@article{18027,
  abstract     = {We have measured the conductance and characterized molecule−electrode binding geometries of four pyridine-terminated molecules by elongating and then compressing gold point contacts in a solution of molecules. We have found that all pyridine-terminated molecules exhibit bistable conductance signatures, signifying that the nature of the pyridine−gold bond allows two distinct conductance states that are accessed as the gold−molecule−gold junction is elongated. We have identified the low-conductance state as corresponding to a molecule fully stretched out between the gold electrodes, where the distance between contacts correlates with the length of the molecule; the high-conductance state is due to a molecule bound at an angle. For all molecules, we have found that the distribution of junction elongations in the low-conductance state is the same, while in the high-conductance state, the most likely elongation length increases linearly with molecule length. The results of first-principles conductance calculations for the four molecules in the low-conductance geometry agree well with the experimental results and show that the dominant conducting channel in the conjugated pyridine-linked molecules is through the π* orbital.},
  author       = {Kamenetska, M. and Quek, Su Ying and Whalley, A. C. and Steigerwald, M. L. and Choi, H. J. and Louie, Steven G. and Nuckolls, C. and Hybertsen, M. S. and Neaton, J. B. and Venkataraman, Latha},
  issn         = {1520-5126},
  journal      = {Journal of the American Chemical Society},
  number       = {19},
  pages        = {6817--6821},
  publisher    = {American Chemical Society},
  title        = {{Conductance and geometry of pyridine-linked single-molecule junctions}},
  doi          = {10.1021/ja1015348},
  volume       = {132},
  year         = {2010},
}

@inproceedings{18338,
  abstract     = {Invariant image descriptors play an important role in many computer vision and pattern recognition problems such as image search and retrieval. A dominant paradigm today is that of “bags of features”, a representation of images as distributions of primitive visual elements. The main disadvantage of this approach is the loss of spatial relations between features, which often carry important information about the image. In this paper, we show how to construct spatially-sensitive image descriptors in which both the features and their relation are affine-invariant. Our construction is based on a vocabulary of pairs of features coupled with a vocabulary of invariant spatial relations between the features. Experimental results show the advantage of our approach in image retrieval applications.},
  author       = {Bronstein, Alexander and Bronstein, Michael M.},
  booktitle    = {11th European Conference on Computer Vision},
  isbn         = {9783642155512},
  issn         = {1611-3349},
  location     = {Heraklion, Greece},
  pages        = {197–208},
  publisher    = {Springer Nature},
  title        = {{Spatially-sensitive affine-invariant image descriptors}},
  doi          = {10.1007/978-3-642-15552-9_15},
  volume       = {6312},
  year         = {2010},
}

@inproceedings{18339,
  abstract     = {Automatic detection of symmetries, regularity, and repetitive structures in 3D geometry is a fundamental problem in shape analysis and pattern recognition with applications in computer vision and graphics. Especially challenging is to detect intrinsic regularity, where the repetitions are on an intrinsic grid, without any apparent Euclidean pattern to describe the shape, but rising out of (near) isometric deformation of the underlying surface. In this paper, we employ multidimensional scaling to reduce the problem of intrinsic structure detection to a simpler problem of 2D grid detection. Potential 2D grids are then identified using an autocorrelation analysis, refined using local fitting, validated, and finally projected back to the spatial domain. We test the detection algorithm on a variety of scanned plaster models in presence of imperfections like missing data, noise and outliers. We also present a range of applications including scan completion, shape editing, super-resolution, and structural correspondence.},
  author       = {Mitra, Niloy J. and Bronstein, Alexander and Bronstein, Michael},
  booktitle    = {11th European Conference on Computer Vision},
  isbn         = {9783642155574},
  issn         = {0302-9743},
  location     = {Heraklion, Greece},
  pages        = {398–410},
  publisher    = {Springer Nature},
  title        = {{Intrinsic regularity detection in 3D geometry}},
  doi          = {10.1007/978-3-642-15558-1_29},
  volume       = {6313},
  year         = {2010},
}

@article{18358,
  abstract     = {In this paper, the problem of non-rigid shape recognition is studied from the perspective of metric geometry. In particular, we explore the applicability of diffusion distances within the Gromov-Hausdorff framework. While the traditionally used geodesic distance exploits the shortest path between points on the surface, the diffusion distance averages all paths connecting the points. The diffusion distance constitutes an intrinsic metric which is robust, in particular, to topological changes. Such changes in the form of shortcuts, holes, and missing data may be a result of natural non-rigid deformations as well as acquisition and representation noise due to inaccurate surface construction. The presentation of the proposed framework is complemented with examples demonstrating that in addition to the relatively low complexity involved in the computation of the diffusion distances between surface points, its recognition and matching performances favorably compare to the classical geodesic distances in the presence of topological changes between the non-rigid shapes.},
  author       = {Bronstein, Alexander and Bronstein, Michael M. and Kimmel, Ron and Mahmoudi, Mona and Sapiro, Guillermo},
  issn         = {1573-1405},
  journal      = {International Journal of Computer Vision},
  number       = {2-3},
  pages        = {266--286},
  publisher    = {Springer Nature},
  title        = {{A Gromov-Hausdorff framework with diffusion geometry for topologically-robust non-rigid shape matching}},
  doi          = {10.1007/s11263-009-0301-6},
  volume       = {89},
  year         = {2010},
}

@article{18359,
  abstract     = {Symmetry and self-similarity are the cornerstone of Nature, exhibiting themselves through the shapes of natural creations and ubiquitous laws of physics. Since many natural objects are symmetric, the absence of symmetry can often be an indication of some anomaly or abnormal behavior. Therefore, detection of asymmetries is important in numerous practical applications, including crystallography, medical imaging, and face recognition, to mention a few. Conversely, the assumption of underlying shape symmetry can facilitate solutions to many problems in shape reconstruction and analysis. Traditionally, symmetries are described as extrinsic geometric properties of the shape. While being adequate for rigid shapes, such a description is inappropriate for non-rigid ones: extrinsic symmetry can be broken as a result of shape deformations, while its intrinsic symmetry is preserved. In this paper, we present a generalization of symmetries for non-rigid shapes and a numerical framework for their analysis, addressing the problems of full and partial exact and approximate symmetry detection and classification.},
  author       = {Raviv, Dan and Bronstein, Alexander and Bronstein, Michael M. and Kimmel, Ron},
  issn         = {1573-1405},
  journal      = {International Journal of Computer Vision},
  pages        = {18--39},
  publisher    = {Springer Nature},
  title        = {{Full and partial symmetries of non-rigid shapes}},
  doi          = {10.1007/s11263-010-0320-3},
  volume       = {89},
  year         = {2010},
}

@article{18360,
  abstract     = {Many manifold learning procedures try to embed a given feature data into a flat space of low dimensionality while preserving as much as possible the metric in the natural feature space. The embedding process usually relies on distances between neighboring features, mainly since distances between features that are far apart from each other often provide an unreliable estimation of the true distance on the feature manifold due to its non-convexity. Distortions resulting from using long geodesics indiscriminately lead to a known limitation of the Isomap algorithm when used to map non-convex manifolds. Presented is a framework for nonlinear dimensionality reduction that uses both local and global distances in order to learn the intrinsic geometry of flat manifolds with boundaries. The resulting algorithm filters out potentially problematic distances between distant feature points based on the properties of the geodesics connecting those points and their relative distance to the boundary of the feature manifold, thus avoiding an inherent limitation of the Isomap algorithm. Since the proposed algorithm matches non-local structures, it is robust to strong noise. We show experimental results demonstrating the advantages of the proposed approach over conventional dimensionality reduction techniques, both global and local in nature.},
  author       = {Rosman, Guy and Bronstein, Michael M. and Bronstein, Alexander and Kimmel, Ron},
  issn         = {1573-1405},
  journal      = {International Journal of Computer Vision},
  pages        = {56--68},
  publisher    = {Springer Nature},
  title        = {{Nonlinear dimensionality reduction by topologically constrained isometric embedding}},
  doi          = {10.1007/s11263-010-0322-1},
  volume       = {89},
  year         = {2010},
}

@inproceedings{18376,
  abstract     = {Visual understanding is often based on measuring similarity between observations. Learning similarities specific to a certain perception task from a set of examples has been shown advantageous in various computer vision and pattern recognition problems. In many important applications, the data that one needs to compare come from different representations or modalities, and the similarity between such data operates on objects that may have different and often incommensurable structure and dimensionality. In this paper, we propose a framework for supervised similarity learning based on embedding the input data from two arbitrary spaces into the Hamming space. The mapping is expressed as a binary classification problem with positive and negative examples, and can be efficiently learned using boosting algorithms. The utility and efficiency of such a generic approach is demonstrated on several challenging applications including cross-representation shape retrieval and alignment of multi-modal medical images.},
  author       = {Bronstein, Michael M. and Bronstein, Alexander and Michel, Fabrice and Paragios, Nikos},
  booktitle    = {2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition},
  issn         = {1063-6919 },
  location     = {San Francisco, CA, USA},
  pages        = {3594 -- 3601},
  publisher    = {IEEE},
  title        = {{Data fusion through cross-modality metric learning using similarity-sensitive hashing}},
  doi          = {10.1109/cvpr.2010.5539928},
  year         = {2010},
}

@inproceedings{18432,
  abstract     = {Invariant shape descriptors are instrumental in numerous shape analysis tasks including deformable shape comparison, registration, classification, and retrieval. Most existing constructions model a 3D shape as a two-dimensional surface describing the shape boundary, typically represented as a triangular mesh or a point cloud. Using intrinsic properties of the surface, invariant descriptors can be designed. One such example is the recently introduced heat kernel signature, based on the Laplace-Beltrami operator of the surface. In many applications, however, a volumetric shape model is more natural and convenient. Moreover, modeling shape deformations as approximate isometries of the volume of an object, rather than its boundary, better captures natural behavior of non-rigid deformations in many cases. Here, we extend the idea of heat kernel signature to robust isometry-invariant volumetric descriptors, and show their utility in shape retrieval. The proposed approach achieves state-of-the-art results on the SHREC 2010 large-scale shape retrieval benchmark.},
  author       = {Raviv, Dan and Bronstein, Michael M. and Bronstein, Alexander and Kimmel, Ron},
  booktitle    = {Proceedings of the ACM workshop on 3D object retrieval},
  isbn         = {9781450301602},
  location     = {Firenze, Italy},
  pages        = {39 -- 44},
  publisher    = {ACM},
  title        = {{Volumetric heat kernel signatures}},
  doi          = {10.1145/1877808.1877817},
  year         = {2010},
}

@article{22029,
  abstract     = {We consider two classes of defocusing energy-supercritical nonlinear Schrödinger equations in dimensions d ≥ 5. We prove that if the solution u is a priori bounded in the critical Sobolev space, that is, {mathematical formular} , then u is global and scatters.},
  author       = {Killip, Rowan and Visan, Monica},
  issn         = {1532-4133},
  journal      = {Communications in Partial Differential Equations},
  keywords     = {critical regularity, Nonlinear Schrödinger equations},
  number       = {6},
  pages        = {945--987},
  publisher    = {Informa UK Limited},
  title        = {{Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering}},
  doi          = {10.1080/03605301003717084},
  volume       = {35},
  year         = {2010},
}