@article{9591,
  abstract     = {We give several results showing that different discrete structures typically gain certain spanning substructures (in particular, Hamilton cycles) after a modest random perturbation. First, we prove that adding linearly many random edges to a dense k-uniform hypergraph ensures the (asymptotically almost sure) existence of a perfect matching or a loose Hamilton cycle. The proof involves an interesting application of Szemerédi's Regularity Lemma, which might be independently useful. We next prove that digraphs with certain strong expansion properties are pancyclic, and use this to show that adding a linear number of random edges typically makes a dense digraph pancyclic. Finally, we prove that perturbing a certain (minimum-degree-dependent) number of random edges in a tournament typically ensures the existence of multiple edge-disjoint Hamilton cycles. All our results are tight.},
  author       = {Krivelevich, Michael and Kwan, Matthew Alan and Sudakov, Benny},
  issn         = {1469-2163},
  journal      = {Combinatorics, Probability and Computing},
  number       = {6},
  pages        = {909--927},
  publisher    = {Cambridge University Press},
  title        = {{Cycles and matchings in randomly perturbed digraphs and hypergraphs}},
  doi          = {10.1017/s0963548316000079},
  volume       = {25},
  year         = {2016},
}

@misc{9704,
  abstract     = {Emerging infectious diseases (EIDs) have contributed significantly to the current biodiversity crisis, leading to widespread epidemics and population loss. Owing to genetic variation in pathogen virulence, a complete understanding of species decline requires the accurate identification and characterization of EIDs. We explore this issue in the Western honeybee, where increasing mortality of populations in the Northern Hemisphere has caused major concern. Specifically, we investigate the importance of genetic identity of the main suspect in mortality, deformed wing virus (DWV), in driving honeybee loss. Using laboratory experiments and a systematic field survey, we demonstrate that an emerging DWV genotype (DWV-B) is more virulent than the established DWV genotype (DWV-A) and is widespread in the landscape. Furthermore, we show in a simple model that colonies infected with DWV-B collapse sooner than colonies infected with DWV-A. We also identify potential for rapid DWV evolution by revealing extensive genome-wide recombination in vivo. The emergence of DWV-B in naive honeybee populations, including via recombination with DWV-A, could be of significant ecological and economic importance. Our findings emphasize that knowledge of pathogen genetic identity and diversity is critical to understanding drivers of species decline.},
  author       = {Mcmahon, Dino and Natsopoulou, Myrsini and Doublet, Vincent and Fürst, Matthias and Weging, Silvio and Brown, Mark and Gogol Döring, Andreas and Paxton, Robert},
  publisher    = {Dryad},
  title        = {{Data from: Elevated virulence of an emerging viral genotype as a driver of honeybee loss}},
  doi          = {10.5061/dryad.cq7t1},
  year         = {2016},
}

@misc{9710,
  abstract     = {Much of quantitative genetics is based on the ‘infinitesimal model’, under which selection has a negligible effect on the genetic variance. This is typically justified by assuming a very large number of loci with additive effects. However, it applies even when genes interact, provided that the number of loci is large enough that selection on each of them is weak relative to random drift. In the long term, directional selection will change allele frequencies, but even then, the effects of epistasis on the ultimate change in trait mean due to selection may be modest. Stabilising selection can maintain many traits close to their optima, even when the underlying alleles are weakly selected. However, the number of traits that can be optimised is apparently limited to ~4Ne by the ‘drift load’, and this is hard to reconcile with the apparent complexity of many organisms. Just as for the mutation load, this limit can be evaded by a particular form of negative epistasis. A more robust limit is set by the variance in reproductive success. This suggests that selection accumulates information most efficiently in the infinitesimal regime, when selection on individual alleles is weak, and comparable with random drift. A review of evidence on selection strength suggests that although most variance in fitness may be because of alleles with large Nes, substantial amounts of adaptation may be because of alleles in the infinitesimal regime, in which epistasis has modest effects.},
  author       = {Barton, Nicholas H},
  publisher    = {Dryad},
  title        = {{Data from: How does epistasis influence the response to selection?}},
  doi          = {10.5061/dryad.s5s7r},
  year         = {2016},
}

@misc{9720,
  abstract     = {Summary: Declining populations of bee pollinators are a cause of concern, with major repercussions for biodiversity loss and food security. RNA viruses associated with honeybees represent a potential threat to other insect pollinators, but the extent of this threat is poorly understood. This study aims to attain a detailed understanding of the current and ongoing risk of emerging infectious disease (EID) transmission between managed and wild pollinator species across a wide range of RNA viruses. Within a structured large-scale national survey across 26 independent sites, we quantify the prevalence and pathogen loads of multiple RNA viruses in co-occurring managed honeybee (Apis mellifera) and wild bumblebee (Bombus spp.) populations. We then construct models that compare virus prevalence between wild and managed pollinators. Multiple RNA viruses associated with honeybees are widespread in sympatric wild bumblebee populations. Virus prevalence in honeybees is a significant predictor of virus prevalence in bumblebees, but we remain cautious in speculating over the principle direction of pathogen transmission. We demonstrate species-specific differences in prevalence, indicating significant variation in disease susceptibility or tolerance. Pathogen loads within individual bumblebees may be high and in the case of at least one RNA virus, prevalence is higher in wild bumblebees than in managed honeybee populations. Our findings indicate widespread transmission of RNA viruses between managed and wild bee pollinators, pointing to an interconnected network of potential disease pressures within and among pollinator species. In the context of the biodiversity crisis, our study emphasizes the importance of targeting a wide range of pathogens and defining host associations when considering potential drivers of population decline.},
  author       = {Mcmahon, Dino and Fürst, Matthias and Caspar, Jesicca and Theodorou, Panagiotis and Brown, Mark and Paxton, Robert},
  publisher    = {Dryad},
  title        = {{Data from: A sting in the spit: widespread cross-infection of multiple RNA viruses across wild and managed bees}},
  doi          = {10.5061/dryad.4b565},
  year         = {2016},
}

@article{983,
  abstract     = {The half-filled Landau level is expected to be approximately particle-hole symmetric, which requires an extension of the Halperin-Lee-Read (HLR) theory of the compressible state observed at this filling. Recent work indicates that, when particle-hole symmetry is preserved, the composite fermions experience a quantized π-Berry phase upon winding around the composite Fermi surface, analogous to Dirac fermions at the surface of a 3D topological insulator. In contrast, the effective low-energy theory of the composite fermion liquid originally proposed by HLR lacks particle-hole symmetry and has vanishing Berry phase. In this paper, we explain how thermoelectric transport measurements can be used to test the Dirac nature of the composite fermions by quantitatively extracting this Berry phase. First, we point out that longitudinal thermopower (Seebeck effect) is nonvanishing because of the unusual nature of particle-hole symmetry in this context and is not sensitive to the Berry phase. In contrast, we find that off-diagonal thermopower (Nernst effect) is directly related to the topological structure of the composite Fermi surface, vanishing for zero Berry phase and taking its maximal value for π Berry phase. In contrast, in purely electrical transport signatures, the Berry phase contributions appear as small corrections to a large background signal, making the Nernst effect a promising diagnostic of the Dirac nature of composite fermions.},
  author       = {Potter, Andrew C and Maksym Serbyn and Vishwanath, Ashvin K},
  journal      = {Physical Review X},
  number       = {3},
  publisher    = {American Physical Society},
  title        = {{Thermoelectric transport signatures of Dirac composite fermions in the half-filled Landau level}},
  doi          = {10.1103/PhysRevX.6.031026},
  volume       = {6},
  year         = {2016},
}

@article{984,
  abstract     = {The entanglement spectrum of the reduced density matrix contains information beyond the von Neumann entropy and provides unique insights into exotic orders or critical behavior of quantum systems. Here, we show that strongly disordered systems in the many-body localized phase have power-law entanglement spectra, arising from the presence of extensively many local integrals of motion. The power-law entanglement spectrum distinguishes many-body localized systems from ergodic systems, as well as from ground states of gapped integrable models or free systems in the vicinity of scale-invariant critical points. We confirm our results using large-scale exact diagonalization. In addition, we develop a matrix-product state algorithm which allows us to access the eigenstates of large systems close to the localization transition, and discuss general implications of our results for variational studies of highly excited eigenstates in many-body localized systems.},
  author       = {Maksym Serbyn and Alexios Michailidis and Abanin, Dmitry A and Papić, Zlatko},
  journal      = {Physical Review Letters},
  number       = {16},
  publisher    = {American Physical Society},
  title        = {{Power-law entanglement spectrum in many-body localized phases}},
  doi          = {10.1103/PhysRevLett.117.160601},
  volume       = {117},
  year         = {2016},
}

@article{985,
  abstract     = {We report on magnetotransport studies of dual-gated, Bernal-stacked trilayer graphene (TLG) encapsulated in boron nitride crystals. We observe a quantum Hall effect staircase which indicates a complete lifting of the 12-fold degeneracy of the zeroth Landau level. As a function of perpendicular electric field, our data exhibit a sequence of phase transitions between all integer quantum Hall states in the filling factor interval -8<ν<0. We develop a theoretical model and argue that, in contrast to monolayer and bilayer graphene, the observed Landau level splittings and quantum Hall phase transitions can be understood within a single-particle picture, but imply the presence of a charge density imbalance between the inner and outer layers of TLG, even at charge neutrality and zero transverse electric field. Our results indicate the importance of a previously unaccounted band structure parameter which, together with a more accurate estimate of the other tight-binding parameters, results in a significantly improved determination of the electronic and Landau level structure of TLG.},
  author       = {Campos, Leonardo C and Taychatanapat, Thiti and Maksym Serbyn and Surakitbovorn, Kawin N and Watanabe, Kenji and Taniguchi, Takashi and Abanin, Dmitry A and Jarillo-Herrero, Pablo},
  journal      = {Physical Review Letters},
  number       = {6},
  publisher    = {American Physical Society},
  title        = {{Landau Level Splittings, Phase Transitions, and Nonuniform Charge Distribution in Trilayer Graphene}},
  doi          = {10.1103/PhysRevLett.117.066601},
  volume       = {117},
  year         = {2016},
}

@article{986,
  abstract     = {The many-body localization transition (MBLT) between ergodic and many-body localized phases in disordered interacting systems is a subject of much recent interest. The statistics of eigenenergies is known to be a powerful probe of crossovers between ergodic and integrable systems in simpler examples of quantum chaos. We consider the evolution of the spectral statistics across the MBLT, starting with mapping to a Brownian motion process that analytically relates the spectral properties to the statistics of matrix elements. We demonstrate that the flow from Wigner-Dyson to Poisson statistics is a two-stage process. First, a fractal enhancement of matrix elements upon approaching the MBLT from the delocalized side produces an effective power-law interaction between energy levels, and leads to a plasma model for level statistics. At the second stage, the gas of eigenvalues has local interactions and the level statistics belongs to a semi-Poisson universality class. We verify our findings numerically on the XXZ spin chain. We provide a microscopic understanding of the level statistics across the MBLT and discuss implications for the transition that are strong constraints on possible theories.},
  author       = {Maksym Serbyn and Moore, Joel E},
  journal      = {Physical Review B - Condensed Matter and Materials Physics},
  number       = {4},
  publisher    = {American Physical Society},
  title        = {{Spectral statistics across the many-body localization transition}},
  doi          = {10.1103/PhysRevB.93.041424},
  volume       = {93},
  year         = {2016},
}

@misc{9864,
  abstract     = {Viral capsids are structurally constrained by interactions among the amino acids (AAs) of their constituent proteins. Therefore, epistasis is expected to evolve among physically interacting sites and to influence the rates of substitution. To study the evolution of epistasis, we focused on the major structural protein of the ϕX174 phage family by, first, reconstructing the ancestral protein sequences of 18 species using a Bayesian statistical framework. The inferred ancestral reconstruction differed at eight AAs, for a total of 256 possible ancestral haplotypes. For each ancestral haplotype and the extant species, we estimated, in silico, the distribution of free energies and epistasis of the capsid structure. We found that free energy has not significantly increased but epistasis has. We decomposed epistasis up to fifth order and found that higher-order epistasis sometimes compensates pairwise interactions making the free energy seem additive. The dN/dS ratio is low, suggesting strong purifying selection, and that structure is under stabilizing selection. We synthesized phages carrying ancestral haplotypes of the coat protein gene and measured their fitness experimentally. Our findings indicate that stabilizing mutations can have higher fitness, and that fitness optima do not necessarily coincide with energy minima.},
  author       = {Fernandes Redondo, Rodrigo A and de Vladar, Harold and Włodarski, Tomasz and Bollback, Jonathan P},
  publisher    = {The Royal Society},
  title        = {{Data from evolutionary interplay between structure, energy and epistasis in the coat protein of the ϕX174 phage family}},
  doi          = {10.6084/m9.figshare.4315652.v1},
  year         = {2016},
}

@article{987,
  abstract     = {In contrast to bulk FeSe, which exhibits nematic order and low temperature superconductivity, highly doped FeSe reverses the situation, having high temperature superconductivity appearing alongside a suppression of nematic order. To investigate this phenomenon, we study a minimal electronic model of FeSe, with interactions that enhance nematic fluctuations. This model is sign problem free, and is simulated using determinant quantum Monte Carlo (DQMC). We developed a DQMC algorithm with parallel tempering, which proves to be an efficient source of global updates and allows us to access the region of strong interactions. Over a wide range of intermediate couplings, we observe superconductivity with an extended s-wave order parameter, along with enhanced, but short-ranged, q=(0,0) ferro-orbital (nematic) order. These results are consistent with approximate weak-coupling treatments that predict that nematic fluctuations lead to superconducting pairing. Surprisingly, in the parameter range under study, we do not observe nematic long-range order. Instead, at stronger coupling an unusual insulating phase with q=(π,π) antiferro-orbital order appears, which is missed by weak-coupling approximations.},
  author       = {Dumitrescu, Philipp T and Maksym Serbyn and Scalettar, Richard T and Vishwanath, Ashvin K},
  journal      = {Physical Review B - Condensed Matter and Materials Physics},
  number       = {15},
  publisher    = {American Physical Society},
  title        = {{Superconductivity and nematic fluctuations in a model of doped FeSe monolayers: Determinant quantum Monte Carlo study}},
  doi          = {10.1103/PhysRevB.94.155127},
  volume       = {94},
  year         = {2016},
}

@article{366,
  abstract     = {Cesium lead halide (CsPbX3, X = Cl, Br, I) nanocrystals (NCs) offer exceptional optical properties for several potential applications but their implementation is hindered by a low chemical and structural stability and limited processability. In the present work, we developed a new method to efficiently coat CsPbX3 NCs, which resulted in their increased chemical and optical stability as well as processability. The method is based on the incorporation of poly(maleic anhydride-alt-1-octadecene) (PMA) into the synthesis of the perovskite NCs. The presence of PMA in the ligand shell stabilizes the NCs by tightening the ligand binding, limiting in this way the NC surface interaction with the surrounding media. We further show that these NCs can be embedded in self-standing silicone/glass plates as down-conversion filters for the fabrication of monochromatic green and white light emitting diodes (LEDs) with narrow bandwidths and appealing color characteristics.},
  author       = {Meyn, Michaela and Perálvarez, Mariano and Heuer Jungemann, Amelie and Hertog, Wim and Ibanez Sabate, Maria and Nafria, Raquel and Genç, Aziz and Arbiol, Jordi and Kovalenko, Maksym and Carreras, Josep and Cabot, Andreu and Kanaras, Antonios},
  journal      = {ACS Applied Materials and Interfaces},
  number       = {30},
  pages        = {19579 -- 19586},
  publisher    = {American Chemical Society},
  title        = {{Polymer enhanced stability of inorganic perovskite nanocrystals and their application in color conversion LEDs}},
  doi          = {10.1021/acsami.6b02529},
  volume       = {8},
  year         = {2016},
}

@article{389,
  abstract     = {The coherent optical manipulation of solids is emerging as a promising way to engineer novel quantum states of matter. The strong time-periodic potential of intense laser light can be used to generate hybrid photon-electron states. Interaction of light with Bloch states leads to Floquet-Bloch states, which are essential in realizing new photo-induced quantum phases. Similarly, dressing of free-electron states near the surface of a solid generates Volkov states, which are used to study nonlinear optics in atoms and semiconductors. The interaction of these two dynamic states with each other remains an open experimental problem. Here we use time- and angle-resolved photoemission spectroscopy (Tr-ARPES) to selectively study the transition between these two states on the surface of the topological insulator Bi2Se3. We find that the coupling between the two strongly depends on the electron momentum, providing a route to enhance or inhibit it. Moreover, by controlling the light polarization we can negate Volkov states to generate pure Floquet-Bloch states. This work establishes a systematic path for the coherent manipulation of solids via light-matter interaction.},
  author       = {Mahmood, Fahad and Chan, Ching and Alpichshev, Zhanybek and Gardner, Dillon and Lee, Young and Lee, Patrick and Gedik, Nuh},
  journal      = {Nature Physics},
  number       = {4},
  pages        = {306 -- 310},
  publisher    = {Nature Publishing Group},
  title        = {{Selective scattering between Floquet Bloch and Volkov states in a topological insulator}},
  doi          = {10.1038/nphys3609},
  volume       = {12},
  year         = {2016},
}

@article{460,
  abstract     = {NF-κB signaling is a central pathway of immunity and integrates signal transduction upon a wide array of inflammatory stimuli. Noncanonical NF-κB signaling is activated by a small subset of TNF family receptors and characterized by NF-κB2/p52 transcriptional activity. The medical relevance of this pathway has recently re-emerged from the discovery of primary immunodeficiency patients that have loss-of-function mutations in the MAP3K14 gene encoding NIK. Nevertheless, knowledge of protein interactions that regulate noncanonical NF-κB signaling is sparse. Here we report a detailed state-of-the-art mass spectrometry-based protein–protein interaction network including the noncanonical NF-κB signaling nodes TRAF2, TRAF3, IKKα, NIK, and NF-κB2/p100. The value of the data set was confirmed by the identification of interactions already known to regulate this pathway. In addition, a remarkable number of novel interactors were identified. We provide validation of the novel NIK and IKKα interactor FKBP8, which may regulate processes downstream of noncanonical NF-κB signaling. To understand perturbed noncanonical NF-κB signaling in the context of misregulated NIK in disease, we also provide a differential interactome of NIK mutants that cause immunodeficiency. Altogether, this data set not only provides critical insight into how protein–protein interactions can regulate immune signaling but also offers a novel resource on noncanonical NF-κB signaling.},
  author       = {Willmann, Katharina L and Roberto Sacco and Martins, Rui and Garncarz, Wojciech and Krolo, Ana and Knapp, Sylvia and Bennett, Keiryn L and Boztug, Kaan},
  journal      = {Journal of Proteome Research},
  number       = {9},
  pages        = {2900 -- 2909},
  publisher    = {American Chemical Society},
  title        = {{Expanding the interactome of the noncanonical NF-κB signaling pathway}},
  doi          = {10.1021/acs.jproteome.5b01004},
  volume       = {15},
  year         = {2016},
}

@inproceedings{478,
  abstract     = {Magic: the Gathering is a game about magical combat for any number of players. Formally it is a zero-sum, imperfect information stochastic game that consists of a potentially unbounded number of steps. We consider the problem of deciding if a move is legal in a given single step of Magic. We show that the problem is (a) coNP-complete in general; and (b) in P if either of two small sets of cards are not used. Our lower bound holds even for single-player Magic games. The significant aspects of our results are as follows: First, in most real-life game problems, the task of deciding whether a given move is legal in a single step is trivial, and the computationally hard task is to find the best sequence of legal moves in the presence of multiple players. In contrast, quite uniquely our hardness result holds for single step and with only one-player. Second, we establish efficient algorithms for important special cases of Magic.},
  author       = {Chatterjee, Krishnendu and Ibsen-Jensen, Rasmus},
  location     = {The Hague, Netherlands},
  pages        = {1432 -- 1439},
  publisher    = {IOS Press},
  title        = {{The complexity of deciding legality of a single step of magic: The gathering}},
  doi          = {10.3233/978-1-61499-672-9-1432},
  volume       = {285},
  year         = {2016},
}

@inproceedings{480,
  abstract     = {Graph games provide the foundation for modeling and synthesizing reactive processes. In the synthesis of stochastic reactive processes, the traditional model is perfect-information stochastic games, where some transitions of the game graph are controlled by two adversarial players, and the other transitions are executed probabilistically. We consider such games where the objective is the conjunction of several quantitative objectives (specified as mean-payoff conditions), which we refer to as generalized mean-payoff objectives. The basic decision problem asks for the existence of a finite-memory strategy for a player that ensures the generalized mean-payoff objective be satisfied with a desired probability against all strategies of the opponent. A special case of the decision problem is the almost-sure problem where the desired probability is 1. Previous results presented a semi-decision procedure for -approximations of the almost-sure problem. In this work, we show that both the almost-sure problem as well as the general basic decision problem are coNP-complete, significantly improving the previous results. Moreover, we show that in the case of 1-player stochastic games, randomized memoryless strategies are sufficient and the problem can be solved in polynomial time. In contrast, in two-player stochastic games, we show that even with randomized strategies exponential memory is required in general, and present a matching exponential upper bound. We also study the basic decision problem with infinite-memory strategies and present computational complexity results for the problem. Our results are relevant in the synthesis of stochastic reactive systems with multiple quantitative requirements.},
  author       = {Chatterjee, Krishnendu and Doyen, Laurent},
  location     = {New York, NY, USA},
  pages        = {247 -- 256},
  publisher    = {IEEE},
  title        = {{Perfect-information stochastic games with generalized mean-payoff objectives}},
  doi          = {10.1145/2933575.2934513},
  volume       = {05-08-July-2016},
  year         = {2016},
}

@article{510,
  abstract     = {The CLE (CLAVATA3/Embryo Surrounding Region-related) peptides are small secreted signaling peptides that are primarily involved in the regulation of stem cell homeostasis in different plant meristems. Particularly, the characterization of the CLE41-PXY/TDR signaling pathway has greatly advanced our understanding on the potential roles of CLE peptides in vascular development and wood formation. Nevertheless, our knowledge on this gene family in a tree species is limited. In a recent study, we reported on a systematically investigation of the CLE gene family in Populus trichocarpa . The potential roles of PtCLE genes were studied by comparative analysis and transcriptional pro fi ling. Among fi fty PtCLE members, many PtCLE proteins share identical CLE motifs or contain the same CLE motif as that of AtCLEs, while PtCLE genes exhibited either comparable or distinct expression patterns comparing to their Arabidopsis counterparts. These fi ndings indicate the existence of both functional conservation and functional divergence between PtCLEs and their AtCLE orthologues. Our results provide valuable resources for future functional investigations of these critical signaling molecules in woody plants. },
  author       = {Liu, Zhijun and Yang, Nan and Lv, Yanting and Pan, Lixia and Lv, Shuo and Han, Huibin and Wang, Guodong},
  journal      = {Plant Signaling & Behavior},
  number       = {6},
  publisher    = {Taylor & Francis},
  title        = {{The CLE gene family in Populus trichocarpa}},
  doi          = {10.1080/15592324.2016.1191734},
  volume       = {11},
  year         = {2016},
}

@article{262,
  abstract     = {For any number field we calculate the exact proportion of rational numbers which are everywhere locally a norm but not globally a norm from the number field.},
  author       = {Timothy Browning and Newton, Rachel},
  journal      = {Mathematika},
  number       = {2},
  pages        = {337 -- 347},
  publisher    = {Cambridge University Press},
  title        = {{The proportion of failures of the Hasse norm principle}},
  doi          = {10.1112/S0025579315000261},
  volume       = {62},
  year         = {2016},
}

@article{263,
  abstract     = {We count rational points of bounded height on the Cayley ruled cubic surface and interpret the result in the context of general conjectures due to Batyrev and Tschinkel.},
  author       = {de la Bretèche, Régis and Timothy Browning and Salberger, Per},
  journal      = {European Journal of Mathematics},
  number       = {1},
  pages        = {55 -- 72},
  publisher    = {Springer Nature},
  title        = {{Counting rational points on the Cayley ruled cubic}},
  doi          = {10.1007/s40879-015-0049-1},
  volume       = {2},
  year         = {2016},
}

@article{264,
  abstract     = {Given a family of varieties over a number field, we determine conditions under which there is a Brauer-Manin obstruction to weak approximation for 100% of the fibres which are everywhere locally soluble.},
  author       = {Bright, Maritn J and Timothy Browning and Loughran, Daniel},
  journal      = {Compositio Mathematica},
  number       = {7},
  pages        = {1435 -- 1475},
  publisher    = {Cambridge University Press},
  title        = {{Failures of weak approximation in families}},
  doi          = {10.1112/S0010437X16007405},
  volume       = {152},
  year         = {2016},
}

@inproceedings{1082,
  abstract     = {In many applications, it is desirable to extract only the relevant aspects of data. A principled way to do this is the information bottleneck (IB) method, where one seeks a code that maximises information about a relevance variable, Y, while constraining the information encoded about the original data, X. Unfortunately however, the IB method is computationally demanding when data are high-dimensional and/or non-gaussian. Here we propose an approximate variational scheme for maximising a lower bound on the IB objective, analogous to variational EM. Using this method, we derive an IB algorithm to recover features that are both relevant and sparse. Finally, we demonstrate how kernelised versions of the algorithm can be used to address a broad range of problems with non-linear relation between X and Y.},
  author       = {Chalk, Matthew J and Marre, Olivier and Tkacik, Gasper},
  location     = {Barcelona, Spain},
  pages        = {1965--1973},
  publisher    = {Neural Information Processing Systems},
  title        = {{Relevant sparse codes with variational information bottleneck}},
  volume       = {29},
  year         = {2016},
}