@article{13397, abstract = {Self-assembly of inorganic nanoparticles has been studied extensively for particles having different sizes and compositions. However, relatively little attention has been devoted to how the shape and surface chemistry of magnetic nanoparticles affects their self-assembly properties. Here, we undertook a combined experiment–theory study aimed at better understanding of the self-assembly of cubic magnetite (Fe3O4) particles. We demonstrated that, depending on the experimental parameters, such as the direction of the magnetic field and nanoparticle density, a variety of superstructures can be obtained, including one-dimensional filaments and helices, as well as C-shaped assemblies described here for the first time. Furthermore, we functionalized the surfaces of the magnetic nanocubes with light-sensitive ligands. Using these modified nanoparticles, we were able to achieve orthogonal control of self-assembly using a magnetic field and light.}, author = {Singh, Gurvinder and Chan, Henry and Udayabhaskararao, T. and Gelman, Elijah and Peddis, Davide and Baskin, Artem and Leitus, Gregory and Král, Petr and Klajn, Rafal}, issn = {1364-5498}, journal = {Faraday Discussions}, keywords = {Physical and Theoretical Chemistry}, pages = {403--421}, publisher = {Royal Society of Chemistry}, title = {{Magnetic field-induced self-assembly of iron oxide nanocubes}}, doi = {10.1039/c4fd00265b}, volume = {181}, year = {2015}, } @article{13398, author = {Sun, Yugang and Scarabelli, Leonardo and Kotov, Nicholas and Tebbe, Moritz and Lin, Xiao-Min and Brullot, Ward and Isa, Lucio and Schurtenberger, Peter and Moehwald, Helmuth and Fedin, Igor and Velev, Orlin and Faivre, Damien and Sorensen, Christopher and Perzynski, Régine and Chanana, Munish and Li, Zhihai and Bresme, Fernando and Král, Petr and Firlar, Emre and Schiffrin, David and Souza Junior, Joao Batista and Fery, Andreas and Shevchenko, Elena and Tarhan, Ozgur and Alivisatos, Armand Paul and Disch, Sabrina and Klajn, Rafal and Ghosh, Suvojit}, issn = {1364-5498}, journal = {Faraday Discussions}, keywords = {Physical and Theoretical Chemistry}, pages = {463--479}, publisher = {Royal Society of Chemistry}, title = {{Field-assisted self-assembly process: General discussion}}, doi = {10.1039/c5fd90041g}, volume = {181}, year = {2015}, } @article{1383, abstract = {In plants, vacuolar H+-ATPase (V-ATPase) activity acidifies both the trans-Golgi network/early endosome (TGN/EE) and the vacuole. This dual V-ATPase function has impeded our understanding of how the pH homeostasis within the plant TGN/EE controls exo- and endocytosis. Here, we show that the weak V-ATPase mutant deetiolated3 (det3) displayed a pH increase in the TGN/EE, but not in the vacuole, strongly impairing secretion and recycling of the brassinosteroid receptor and the cellulose synthase complexes to the plasma membrane, in contrast to mutants lacking tonoplast-localized V-ATPase activity only. The brassinosteroid insensitivity and the cellulose deficiency defects in det3 were tightly correlated with reduced Golgi and TGN/EE motility. Thus, our results provide strong evidence that acidification of the TGN/EE, but not of the vacuole, is indispensable for functional secretion and recycling in plants.}, author = {Yu, Luo and Scholl, Stefan and Doering, Anett and Yi, Zhang and Irani, Niloufer and Di Rubbo, Simone and Neumetzler, Lutz and Krishnamoorthy, Praveen and Van Houtte, Isabelle and Mylle, Evelien and Bischoff, Volker and Vernhettes, Samantha and Winne, Johan and Friml, Jirí and Stierhof, York and Schumacher, Karin and Persson, Staffan and Russinova, Eugenia}, journal = {Nature Plants}, number = {7}, publisher = {Nature Publishing Group}, title = {{V-ATPase activity in the TGN/EE is required for exocytosis and recycling in Arabidopsis}}, doi = {10.1038/nplants.2015.94}, volume = {1}, year = {2015}, } @phdthesis{1399, abstract = {This thesis is concerned with the computation and approximation of intrinsic volumes. Given a smooth body M and a certain digital approximation of it, we develop algorithms to approximate various intrinsic volumes of M using only measurements taken from its digital approximations. The crucial idea behind our novel algorithms is to link the recent theory of persistent homology to the theory of intrinsic volumes via the Crofton formula from integral geometry and, in particular, via Euler characteristic computations. Our main contributions are a multigrid convergent digital algorithm to compute the first intrinsic volume of a solid body in R^n as well as an appropriate integration pipeline to approximate integral-geometric integrals defined over the Grassmannian manifold.}, author = {Pausinger, Florian}, issn = {2663-337X}, pages = {144}, publisher = {Institute of Science and Technology Austria}, title = {{On the approximation of intrinsic volumes}}, year = {2015}, } @phdthesis{1400, abstract = {Cancer results from an uncontrolled growth of abnormal cells. Sequentially accumulated genetic and epigenetic alterations decrease cell death and increase cell replication. We used mathematical models to quantify the effect of driver gene mutations. The recently developed targeted therapies can lead to dramatic regressions. However, in solid cancers, clinical responses are often short-lived because resistant cancer cells evolve. We estimated that approximately 50 different mutations can confer resistance to a typical targeted therapeutic agent. We find that resistant cells are likely to be present in expanded subclones before the start of the treatment. The dominant strategy to prevent the evolution of resistance is combination therapy. Our analytical results suggest that in most patients, dual therapy, but not monotherapy, can result in long-term disease control. However, long-term control can only occur if there are no possible mutations in the genome that can cause cross-resistance to both drugs. Furthermore, we showed that simultaneous therapy with two drugs is much more likely to result in long-term disease control than sequential therapy with the same drugs. To improve our understanding of the underlying subclonal evolution we reconstruct the evolutionary history of a patient's cancer from next-generation sequencing data of spatially-distinct DNA samples. Using a quantitative measure of genetic relatedness, we found that pancreatic cancers and their metastases demonstrated a higher level of relatedness than that expected for any two cells randomly taken from a normal tissue. This minimal amount of genetic divergence among advanced lesions indicates that genetic heterogeneity, when quantitatively defined, is not a fundamental feature of the natural history of untreated pancreatic cancers. Our newly developed, phylogenomic tool Treeomics finds evidence for seeding patterns of metastases and can directly be used to discover rules governing the evolution of solid malignancies to transform cancer into a more predictable disease.}, author = {Reiter, Johannes}, issn = {2663-337X}, pages = {183}, publisher = {Institute of Science and Technology Austria}, title = {{The subclonal evolution of cancer}}, year = {2015}, } @phdthesis{1401, abstract = {The human ability to recognize objects in complex scenes has driven research in the computer vision field over couple of decades. This thesis focuses on the object recognition task in images. That is, given the image, we want the computer system to be able to predict the class of the object that appears in the image. A recent successful attempt to bridge semantic understanding of the image perceived by humans and by computers uses attribute-based models. Attributes are semantic properties of the objects shared across different categories, which humans and computers can decide on. To explore the attribute-based models we take a statistical machine learning approach, and address two key learning challenges in view of object recognition task: learning augmented attributes as mid-level discriminative feature representation, and learning with attributes as privileged information. Our main contributions are parametric and non-parametric models and algorithms to solve these frameworks. In the parametric approach, we explore an autoencoder model combined with the large margin nearest neighbor principle for mid-level feature learning, and linear support vector machines for learning with privileged information. In the non-parametric approach, we propose a supervised Indian Buffet Process for automatic augmentation of semantic attributes, and explore the Gaussian Processes classification framework for learning with privileged information. A thorough experimental analysis shows the effectiveness of the proposed models in both parametric and non-parametric views.}, author = {Sharmanska, Viktoriia}, issn = {2663-337X}, pages = {144}, publisher = {Institute of Science and Technology Austria}, title = {{Learning with attributes for object recognition: Parametric and non-parametrics views}}, doi = {10.15479/at:ista:1401}, year = {2015}, } @article{14013, abstract = {The ultrafast motion of electrons and holes after light-matter interaction is fundamental to a broad range of chemical and biophysical processes. We advanced high-harmonic spectroscopy to resolve spatially and temporally the migration of an electron hole immediately after ionization of iodoacetylene while simultaneously demonstrating extensive control over the process. A multidimensional approach, based on the measurement and accurate theoretical description of both even and odd harmonic orders, enabled us to reconstruct both quantum amplitudes and phases of the electronic states with a resolution of ~100 attoseconds. We separately reconstructed quasi-field-free and laser-controlled charge migration as a function of the spatial orientation of the molecule and determined the shape of the hole created by ionization. Our technique opens the prospect of laser control over electronic primary processes.}, author = {Kraus, P. M. and Mignolet, B. and Baykusheva, Denitsa Rangelova and Rupenyan, A. and Horný, L. and Penka, E. F. and Grassi, G. and Tolstikhin, O. I. and Schneider, J. and Jensen, F. and Madsen, L. B. and Bandrauk, A. D. and Remacle, F. and Wörner, H. J.}, issn = {1095-9203}, journal = {Science}, keywords = {Multidisciplinary}, number = {6262}, pages = {790--795}, publisher = {American Association for the Advancement of Science}, title = {{Measurement and laser control of attosecond charge migration in ionized iodoacetylene}}, doi = {10.1126/science.aab2160}, volume = {350}, year = {2015}, } @article{14014, abstract = {We have studied a coupled electronic-nuclear wave packet in nitric oxide using time-resolved strong-field photoelectron holography and rescattering. We show that the electronic dynamics mainly appears in the holographic structures whereas nuclear motion strongly modulates the angular distribution of the rescattered photoelectrons.}, author = {Walt, Samuel G and Ram, N Bhargava and von Conta, Aaron and Baykusheva, Denitsa Rangelova and Atala, Marcos and Wörner, Hans Jakob}, issn = {1742-6596}, journal = {Journal of Physics: Conference Series}, keywords = {General Physics and Astronomy}, number = {11}, publisher = {IOP Publishing}, title = {{Resolving the dynamics of valence-shell electrons and nuclei through laser-induced diffraction and holography}}, doi = {10.1088/1742-6596/635/11/112135}, volume = {635}, year = {2015}, } @article{14015, abstract = {We advance high-harmonic spectroscopy to resolve molecular charge migration in time and space and simultaneously demonstrate extensive control over the process. A multidimensional approach enables us to reconstruct both quantum amplitudes and phases with a resolution of better than 100 attoseconds and to separately reconstruct field-free and laser- driven charge migration. Our techniques make charge migration in molecules measurable on the attosecond time scale and open new avenues for laser control of electronic primary processes.}, author = {Kraus, P M and Mignolet, B and Baykusheva, Denitsa Rangelova and Rupenyan, A and Horný, L and Penka, E F and Tolstikhin, O I and Schneider, J and Jensen, F and Madsen, L B and Bandrauk, A D and Remacle, F and Wörner, H J}, issn = {1742-6596}, journal = {Journal of Physics: Conference Series}, keywords = {General Physics and Astronomy}, number = {11}, publisher = {IOP Publishing}, title = {{Attosecond charge migration and its laser control}}, doi = {10.1088/1742-6596/635/11/112136}, volume = {635}, year = {2015}, } @article{14016, abstract = {All attosecond time-resolved measurements have so far relied on the use of intense near-infrared laser pulses. In particular, attosecond streaking, laser-induced electron diffraction and high-harmonic generation all make use of non-perturbative light–matter interactions. Remarkably, the effect of the strong laser field on the studied sample has often been neglected in previous studies. Here we use high-harmonic spectroscopy to measure laser-induced modifications of the electronic structure of molecules. We study high-harmonic spectra of spatially oriented CH3F and CH3Br as generic examples of polar polyatomic molecules. We accurately measure intensity ratios of even and odd-harmonic orders, and of the emission from aligned and unaligned molecules. We show that these robust observables reveal a substantial modification of the molecular electronic structure by the external laser field. Our insights offer new challenges and opportunities for a range of emerging strong-field attosecond spectroscopies.}, author = {Kraus, P. M. and Tolstikhin, O. I. and Baykusheva, Denitsa Rangelova and Rupenyan, A. and Schneider, J. and Bisgaard, C. Z. and Morishita, T. and Jensen, F. and Madsen, L. B. and Wörner, H. J.}, issn = {2041-1723}, journal = {Nature Communications}, keywords = {General Physics and Astronomy, General Biochemistry, Genetics and Molecular Biology, General Chemistry, Multidisciplinary}, publisher = {Springer Nature}, title = {{Observation of laser-induced electronic structure in oriented polyatomic molecules}}, doi = {10.1038/ncomms8039}, volume = {6}, year = {2015}, } @article{14017, abstract = {The detection of electron motion and electronic wave-packet dynamics is one of the core goals of attosecond science. Recently, choosing the nitric oxide molecule as an example, we have introduced and demonstrated an experimental approach to measure coupled valence electronic and rotational wave packets using high-order-harmonic-generation (HHG) spectroscopy [Kraus et al., Phys. Rev. Lett. 111, 243005 (2013)]. A short outline of the theory to describe the combination of the pump and HHG probe process was published together with an extensive discussion of experimental results [Baykusheva et al., Faraday Discuss. 171, 113 (2014)]. The comparison of theory and experiment showed good agreement on a quantitative level. Here, we present the theory in detail, which is based on a generalized density-matrix approach that describes the pump process and the subsequent probing of the wave packets by a semiclassical quantitative rescattering approach. An in-depth analysis of the different Raman scattering contributions to the creation of the coupled rotational and electronic spin-orbit wave packets is made. We present results for parallel and perpendicular linear polarizations of the pump and probe laser pulses. Furthermore, an analysis of the combined rotational-electronic density matrix in terms of irreducible components is presented that facilitates interpretation of the results.}, author = {Zhang, Song Bin and Baykusheva, Denitsa Rangelova and Kraus, Peter M. and Wörner, Hans Jakob and Rohringer, Nina}, issn = {1094-1622}, journal = {Physical Review A}, keywords = {Atomic and Molecular Physics, and Optics}, number = {2}, publisher = {American Physical Society}, title = {{Theoretical study of molecular electronic and rotational coherences by high-order-harmonic generation}}, doi = {10.1103/physreva.91.023421}, volume = {91}, year = {2015}, } @inproceedings{1424, abstract = {We consider the problem of statistical computations with persistence diagrams, a summary representation of topological features in data. These diagrams encode persistent homology, a widely used invariant in topological data analysis. While several avenues towards a statistical treatment of the diagrams have been explored recently, we follow an alternative route that is motivated by the success of methods based on the embedding of probability measures into reproducing kernel Hilbert spaces. In fact, a positive definite kernel on persistence diagrams has recently been proposed, connecting persistent homology to popular kernel-based learning techniques such as support vector machines. However, important properties of that kernel enabling a principled use in the context of probability measure embeddings remain to be explored. Our contribution is to close this gap by proving universality of a variant of the original kernel, and to demonstrate its effective use in twosample hypothesis testing on synthetic as well as real-world data.}, author = {Kwitt, Roland and Huber, Stefan and Niethammer, Marc and Lin, Weili and Bauer, Ulrich}, location = {Montreal, Canada}, pages = {3070 -- 3078}, publisher = {Neural Information Processing Systems Foundation}, title = {{Statistical topological data analysis-A kernel perspective}}, volume = {28}, year = {2015}, } @inproceedings{1425, abstract = {In this work we aim at extending the theoretical foundations of lifelong learning. Previous work analyzing this scenario is based on the assumption that learning tasks are sampled i.i.d. from a task environment or limited to strongly constrained data distributions. Instead, we study two scenarios when lifelong learning is possible, even though the observed tasks do not form an i.i.d. sample: first, when they are sampled from the same environment, but possibly with dependencies, and second, when the task environment is allowed to change over time in a consistent way. In the first case we prove a PAC-Bayesian theorem that can be seen as a direct generalization of the analogous previous result for the i.i.d. case. For the second scenario we propose to learn an inductive bias in form of a transfer procedure. We present a generalization bound and show on a toy example how it can be used to identify a beneficial transfer algorithm.}, author = {Pentina, Anastasia and Lampert, Christoph}, location = {Montreal, Canada}, pages = {1540 -- 1548}, publisher = {Neural Information Processing Systems Foundation}, title = {{Lifelong learning with non-i.i.d. tasks}}, volume = {2015}, year = {2015}, } @inproceedings{1430, abstract = {Evolutionary algorithms (EAs) form a popular optimisation paradigm inspired by natural evolution. In recent years the field of evolutionary computation has developed a rigorous analytical theory to analyse their runtime on many illustrative problems. Here we apply this theory to a simple model of natural evolution. In the Strong Selection Weak Mutation (SSWM) evolutionary regime the time between occurrence of new mutations is much longer than the time it takes for a new beneficial mutation to take over the population. In this situation, the population only contains copies of one genotype and evolution can be modelled as a (1+1)-type process where the probability of accepting a new genotype (improvements or worsenings) depends on the change in fitness. We present an initial runtime analysis of SSWM, quantifying its performance for various parameters and investigating differences to the (1+1) EA. We show that SSWM can have a moderate advantage over the (1+1) EA at crossing fitness valleys and study an example where SSWM outperforms the (1+1) EA by taking advantage of information on the fitness gradient.}, author = {Paixao, Tiago and Sudholt, Dirk and Heredia, Jorge and Trubenova, Barbora}, booktitle = {Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation}, location = {Madrid, Spain}, pages = {1455 -- 1462}, publisher = {ACM}, title = {{First steps towards a runtime comparison of natural and artificial evolution}}, doi = {10.1145/2739480.2754758}, year = {2015}, } @article{14303, abstract = {Scaffolded DNA origami enables the fabrication of a variety of complex nanostructures that promise utility in diverse fields of application, ranging from biosensing over advanced therapeutics to metamaterials. The broad applicability of DNA origami as a material beyond the level of proof-of-concept studies critically depends, among other factors, on the availability of large amounts of pure single-stranded scaffold DNA. Here, we present a method for the efficient production of M13 bacteriophage-derived genomic DNA using high-cell-density fermentation of Escherichia coli in stirred-tank bioreactors. We achieve phage titers of up to 1.6 × 1014 plaque-forming units per mL. Downstream processing yields up to 410 mg of high-quality single-stranded DNA per one liter reaction volume, thus upgrading DNA origami-based nanotechnology from the milligram to the gram scale.}, author = {Kick, B and Praetorius, Florian M and Dietz, H and Weuster-Botz, D}, issn = {1530-6992}, journal = {Nano Letters}, number = {7}, pages = {4672--4676}, publisher = {ACS Publications}, title = {{Efficient production of single-stranded phage DNA as scaffolds for DNA origami}}, doi = {10.1021/acs.nanolett.5b01461}, volume = {15}, year = {2015}, } @misc{1473, abstract = {In this paper we survey geometric and arithmetic techniques to study the cohomology of semiprojective hyperkähler manifolds including toric hyperkähler varieties, Nakajima quiver varieties and moduli spaces of Higgs bundles on Riemann surfaces. The resulting formulae for their Poincaré polynomials are combinatorial and representation theoretical in nature. In particular we will look at their Betti numbers and will establish some results and state some expectations on their asymptotic shape.}, author = {Tamas Hausel and Rodríguez Villegas, Fernando}, booktitle = {Asterisque}, number = {370}, pages = {113 -- 156}, publisher = {Societe Mathematique de France}, title = {{Cohomology of large semiprojective hyperkähler varieties}}, volume = {2015}, year = {2015}, } @inproceedings{1474, abstract = {Cryptographic access control offers selective access to encrypted data via a combination of key management and functionality-rich cryptographic schemes, such as attribute-based encryption. Using this approach, publicly available meta-data may inadvertently leak information on the access policy that is enforced by cryptography, which renders cryptographic access control unusable in settings where this information is highly sensitive. We begin to address this problem by presenting rigorous definitions for policy privacy in cryptographic access control. For concreteness we set our results in the model of Role-Based Access Control (RBAC), where we identify and formalize several different flavors of privacy, however, our framework should serve as inspiration for other models of access control. Based on our insights we propose a new system which significantly improves on the privacy properties of state-of-the-art constructions. Our design is based on a novel type of privacy-preserving attribute-based encryption, which we introduce and show how to instantiate. We present our results in the context of a cryptographic RBAC system by Ferrara et al. (CSF'13), which uses cryptography to control read access to files, while write access is still delegated to trusted monitors. We give an extension of the construction that permits cryptographic control over write access. Our construction assumes that key management uses out-of-band channels between the policy enforcer and the users but eliminates completely the need for monitoring read/write access to the data.}, author = {Ferrara, Anna and Fuchsbauer, Georg and Liu, Bin and Warinschi, Bogdan}, location = {Verona, Italy}, pages = {46--60}, publisher = {IEEE}, title = {{Policy privacy in cryptographic access control}}, doi = {10.1109/CSF.2015.11}, year = {2015}, } @article{1788, abstract = {We fabricate and characterize a microscale silicon opto-electromechanical system whose mechanical motion is coupled capacitively to an electrical circuit and optically via radiation pressure to a photonic crystal cavity. To achieve large electromechanical interaction strength, we implement an inverse shadow mask fabrication scheme which obtains capacitor gaps as small as 30 nm while maintaining a silicon surface quality necessary for minimizing optical loss. Using the sensitive optical read-out of the photonic crystal cavity, we characterize the linear and nonlinear capacitive coupling to the fundamental ωm=2π = 63 MHz in-plane flexural motion of the structure, showing that the large electromechanical coupling in such devices may be suitable for realizing efficient microwave-to-optical signal conversion.}, author = {Pitanti, Alessandro and Johannes Fink and Safavi-Naeini, Amir H and Hill, Jeff T and Lei, Chan U and Tredicucci, Alessandro and Painter, Oskar J}, journal = {Optics Express}, number = {3}, pages = {3196 -- 3208}, publisher = {Optical Society of America}, title = {{Strong opto-electro-mechanical coupling in a silicon photonic crystal cavity}}, doi = {10.1364/OE.23.003196}, volume = {23}, year = {2015}, } @article{1789, abstract = {Intellectual disability (ID) has an estimated prevalence of 2-3%. Due to its extreme heterogeneity, the genetic basis of ID remains elusive in many cases. Recently, whole exome sequencing (WES) studies revealed that a large proportion of sporadic cases are caused by de novo gene variants. To identify further genes involved in ID, we performed WES in 250 patients with unexplained ID and their unaffected parents and included exomes of 51 previously sequenced child-parents trios in the analysis. Exome analysis revealed de novo intragenic variants in SET domain-containing 5 (SETD5) in two patients. One patient carried a nonsense variant, and the other an 81 bp deletion located across a splice-donor site. Chromosomal microarray diagnostics further identified four de novo non-recurrent microdeletions encompassing SETD5. CRISPR/Cas9 mutation modelling of the two intragenic variants demonstrated nonsense-mediated decay of the resulting transcripts, pointing to a loss-of-function (LoF) and haploinsufficiency as the common disease-causing mechanism of intragenic SETD5 sequence variants and SETD5-containing microdeletions. In silico domain prediction of SETD5, a predicted SET domain-containing histone methyltransferase (HMT), substantiated the presence of a SET domain and identified a novel putative PHD domain, strengthening a functional link to well-known histone-modifying ID genes. All six patients presented with ID and certain facial dysmorphisms, suggesting that SETD5 sequence variants contribute substantially to the microdeletion 3p25.3 phenotype. The present report of two SETD5 LoF variants in 301 patients demonstrates a prevalence of 0.7% and thus SETD5 variants as a relatively frequent cause of ID.}, author = {Kuechler, Alma and Zink, Alexander and Wieland, Thomas and Lüdecke, Hermann and Cremer, Kirsten and Salviati, Leonardo and Magini, Pamela and Najafi, Kimia and Zweier, Christiane and Czeschik, Johanna and Aretz, Stefan and Endele, Sabine and Tamburrino, Federica and Pinato, Claudia and Clementi, Maurizio and Gundlach, Jasmin and Maylahn, Carina and Mazzanti, Laura and Wohlleber, Eva and Schwarzmayr, Thomas and Kariminejad, Roxana and Schlessinger, Avner and Wieczorek, Dagmar and Strom, Tim and Novarino, Gaia and Engels, Hartmut}, journal = {European Journal of Human Genetics}, number = {6}, pages = {753 -- 760}, publisher = {Nature Publishing Group}, title = {{Loss-of-function variants of SETD5 cause intellectual disability and the core phenotype of microdeletion 3p25.3 syndrome}}, doi = {10.1038/ejhg.2014.165}, volume = {23}, year = {2015}, } @article{1792, abstract = {Motivated by recent ideas of Harman (Unif. Distrib. Theory, 2010) we develop a new concept of variation of multivariate functions on a compact Hausdorff space with respect to a collection D of subsets. We prove a general version of the Koksma-Hlawka theorem that holds for this notion of variation and discrepancy with respect to D. As special cases, we obtain Koksma-Hlawka inequalities for classical notions, such as extreme or isotropic discrepancy. For extreme discrepancy, our result coincides with the usual Koksma-Hlawka theorem. We show that the space of functions of bounded D-variation contains important discontinuous functions and is closed under natural algebraic operations. Finally, we illustrate the results on concrete integration problems from integral geometry and stereology.}, author = {Pausinger, Florian and Svane, Anne}, journal = {Journal of Complexity}, number = {6}, pages = {773 -- 797}, publisher = {Academic Press}, title = {{A Koksma-Hlawka inequality for general discrepancy systems}}, doi = {10.1016/j.jco.2015.06.002}, volume = {31}, year = {2015}, }