TY - CHAP A1 - Drewes, S. A1 - Pokutta, Sebastian T1 - Geometric mean maximization in the presence of discrete decisions T2 - Proceedings of 23rd Australasian Finance and Banking Conference Y1 - 2010 ER - TY - CHAP A1 - Martin, Alexander A1 - Müller, J. A1 - Pokutta, Sebastian T1 - On clearing coupled day-ahead electricity markets T2 - Proceedings of 23rd Australasian Finance and Banking Conference Y1 - 2010 UR - http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1660528 N1 - Additional Note: doi:10.1080/10556788.2013.823544 ER - TY - CHAP A1 - Pokutta, Sebastian A1 - Schulz, A.S. T1 - On the rank of generic cutting-plane proof systems T2 - Proceedings of IPCO, Lecture Notes in Computer Science Y1 - 2010 UR - http://www.optimization-online.org/DB_HTML/2013/02/3782.html N1 - Additional Note: doi:10.1007/978-3-642-13036-6_34 N1 - URL of the PDF: http://dx.doi.org/10.1007/978-3-642-13036-6_34 VL - 6080 SP - 450 EP - 463 ER - TY - CHAP A1 - Dey, Santanu Sabush A1 - Pokutta, Sebastian T1 - Design and verify: a new scheme for generating cutting-planes T2 - Proceedings of IPCO, Lecture Notes in Computer Science Y1 - 2011 UR - http://www.optimization-online.org/DB_HTML/2011/04/3002.html N1 - Additional Note: DOI: 10.1007/978-3-642-20807-2_12 VL - 6655 SP - 143 EP - 155 ER - TY - CHAP A1 - Helmke, H. A1 - Gluchshenko, O. A1 - Martin, Alexander A1 - Peter, A. A1 - Pokutta, Sebastian A1 - Siebert, U. T1 - Optimal Mixed-Mode Runway Scheduling T2 - Proceedings of DACS Y1 - 2011 UR - http://www.box.net/shared/34p1ea2of7exdgq7tlty ER - TY - CHAP A1 - Pokutta, Sebastian A1 - Schmaltz, Christian T1 - A network model for bank lending capacity T2 - Proceedings of Systemic Risk, Basel III, Financial Stability and Regulation Y1 - 2011 UR - http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1773964 ER - TY - THES A1 - Bender, Wilhelm T1 - On a Novel Approach for Global Optimization of Non-Convex Problems N2 - In this work new approaches for global optimization are developed. We move from theoretical connections in complexity theory to very practical results in protein-ligand docking. In regard to the efficiency of the suggested optimizer, continuity methods are motivated, that yield an improved optimization method. Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-77074 ER - TY - JOUR A1 - Willsch, Maraike A1 - Friedrich, Frank A1 - Baum, Daniel A1 - Jurisch, Ivo A1 - Ohl, Michael T1 - A comparative description of the mesosomal musculature in Sphecidae and Ampulicidae (Hymenoptera, Apoidea) using 3D techniques JF - Deutsche Entomologische Zeitschrift N2 - Conflicting hypotheses about the relationships among the major lineages of aculeate Hymenoptera clearly show the necessity of detailed comparative morphological studies. Using micro-computed tomography and 3D reconstructions, the skeletal musculature of the meso- and metathorax and the first and second abdominal segment in Apoidea are described. Females of Sceliphron destillatorium, Sphex (Fernaldina) lucae (both Sphecidae), and Ampulex compressa (Ampulicidae) were examined. The morphological terminology provided by the Hymenoptera Anatomy Ontology is used. Up to 42 muscles were found. The three species differ in certain numerical and structural aspects. Ampulicidae differs significantly from Sphecidae in the metathorax and the anterior abdomen. The metapleural apodeme and paracoxal ridge are weakly developed in Ampulicidae, which affect some muscular structures. Furthermore, the muscles that insert on the coxae and trochanters are broader and longer in Ampulicidae. A conspicuous characteristic of Sphecidae is the absence of the metaphragma. Overall, we identified four hitherto unrecognized muscles. Our work suggests additional investigations on structures discussed in this paper. Y1 - 2020 U6 - https://doi.org/10.3897/dez.67.49493 VL - 67 IS - 1 SP - 51 EP - 67 ER - TY - THES A1 - Wulkow, Hanna T1 - Regularization of Elliptic Partial Differential Equations using Neural Networks N2 - This thesis presents a method for interpolating data using a neural network. The data is sparse and perturbed and is used as training data for a small neural network. For severely perturbed data, the network does not manage to find a smooth interpolation. But as the data resembles the solution to the one-dimensional and time-independent heat equation, the weak form of this PDE and subsequently its functional can be written down. If the functional is minimized, a solution to the weak form of the heat equation is found. The functional is now added to the traditional loss function of a neural network, the mean squared error between the network prediction and the given data, in order to smooth out fluctuations and interpolate between distanced grid points. This way, the network minimizes both the mean squared error and the functional, resulting in a smoother curve that can be used to predict u(x) for any grid point x. KW - elliptic partial differential equations KW - neural networks Y1 - 2020 ER - TY - THES A1 - Gaedke-Merzhäuser, Lisa T1 - Adaptive Multigrid Solvers for Space-Time Discretisations Y1 - 2019 ER - TY - THES A1 - Ribera Borrell, Enric T1 - From ergodic infinite-time to finite-time transition path theory Y1 - 2019 ER - TY - THES A1 - Meitzner, Felix T1 - Influence of Ordinary Differential Equations on Neural Networks N2 - In this thesis, I want to analyze how neural networks trained to resemble a given function based on particular values react to additional knowledge about the function in terms of a differential equation that the function satisfies. In the first chapter, I will recall the definition of initial value problems and discuss the existence and uniqueness of their solutions, as well as touch on a method to numerically approximate them. Furthermore, I will give a mathematical introduction to neural networks. Then, I will consider a system of two first-order differential equations and test how their solution will be approximated by a neural net. In the next step, I want to see how added noise to the training data and the influence of the differential equation on the loss functional of the neural net will affect the error of the predicted solution against the exact data. Furthermore, I will test if this influence can help reduce the amount of necessary data points in order to reach similar degrees of accuracy. Y1 - 2019 ER - TY - GEN A1 - Ege, Yannic A1 - Foth, Christian A1 - Baum, Daniel A1 - Wirkner, Christian S. A1 - Richter, Stefan T1 - Making spherical-harmonics-based Geometric Morphometrics (SPHARM) approachable for 3D images containing large cavity openings using Ambient Occlusion - a study using hermit crab claw shape variability N2 - An advantageous property of mesh-based geometric morphometrics (GM) towards landmark-based approaches, is the possibility of precisely examining highly irregular shapes and highly topographic surfaces. In case of spherical-harmonics-based GM the main requirement is a completely closed mesh surface, which often is not given, especially when dealing with natural objects. Here we present a methodological workflow to prepare 3D segmentations containing large cavity openings for the conduction of spherical-harmonics-based GM. This will be exemplified with a case study on claws of hermit crabs (Paguroidea, Decapoda, Crustacea), whereby joint openings – between manus and “movable finger” – typify the large-cavity-opening problem. We found a methodology including an ambient-occlusion-based segmentation algorithm leading to results precise and suitable to study the inter- and intraspecific differences in shape of hermit crab claws. Statistical analyses showed a significant separation between all examined diogenid and pagurid claws, whereas the separation between all left and right claws did not show significance. Additionally, the procedure offers other benefits. It is easy to reproduce and creates sparse variance in the data, closures integrate smoothly into the total structures and the algorithm saves a significant amount of time. T3 - ZIB-Report - 20-09 Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-77744 SN - 1438-0064 ER - TY - JOUR A1 - Sunkara, Vikram T1 - On the Properties of the Reaction Counts Chemical Master Equation JF - Entropy N2 - The reaction counts chemical master equation (CME) is a high-dimensional variant of the classical population counts CME. In the reaction counts CME setting, we count the reactions which have fired over time rather than monitoring the population state over time. Since a reaction either fires or not, the reaction counts CME transitions are only forward stepping. Typically there are more reactions in a system than species, this results in the reaction counts CME being higher in dimension, but simpler in dynamics. In this work, we revisit the reaction counts CME framework and its key theoretical results. Then we will extend the theory by exploiting the reactions counts’ forward stepping feature, by decomposing the state space into independent continuous-time Markov chains (CTMC). We extend the reaction counts CME theory to derive analytical forms and estimates for the CTMC decomposition of the CME. This new theory gives new insights into solving hitting times-, rare events-, and a priori domain construction problems. Y1 - 2019 U6 - https://doi.org/10.3390/e21060607 VL - 21 IS - 6 SP - 607 ER - TY - JOUR A1 - Temp, Julia A1 - Labuz, Dominika A1 - Negrete, Roger A1 - Sunkara, Vikram A1 - Machelska, Halina T1 - Pain and knee damage in male and female mice in the medial meniscal transection-induced osteoarthritis JF - Osteoarthritis and Cartilage Y1 - 2019 U6 - https://doi.org/10.1016/j.joca.2019.11.003 ER - TY - THES A1 - Rabben, Robert Julian T1 - Bestimmung invarianter Unterräume des Koopman-Operators einer Overdamped Langevin-Dynamik mithilfe eines Muli-Layer Neural Networks Y1 - 2019 ER - TY - THES A1 - Wachsmann, Ole T1 - Computational Models for the prediction of drug-induced Nephrotoxicity Y1 - 2019 ER - TY - THES A1 - Boz, Seyma T1 - Classification of the toxicity profile of the withdrawn drugs using computational prediction platform ProTox-II Y1 - 2019 ER - TY - THES A1 - Basaleh, Rascha T1 - Prediction and Analysis of Drugs Inducing Liver Injury (DILI) using ProTox-II Computational-Tool Y1 - 2019 ER - TY - CHAP A1 - Braun, Gábor A1 - Pokutta, Sebastian T1 - The matching polytope does not admit fully-polynomial size relaxation schemes T2 - Proceeedings of SODA Y1 - 2015 ER - TY - CHAP A1 - Braun, Gábor A1 - Pokutta, Sebastian A1 - Zink, Daniel T1 - Inapproximability of combinatorial problems via small LPs and SDPs T2 - Proceeedings of STOC Y1 - 2015 ER - TY - CHAP A1 - Pokutta, Sebastian T1 - Information Theory and Polyhedral Combinatorics T2 - Proceedings of 53rd Annual Allerton Conference on Communication, Control, and Computing Y1 - 2015 N1 - Additional Note: http://ieeexplore.ieee.org/abstract/document/7447134/ N1 - URL of the PDF: http://ieeexplore.ieee.org/abstract/document/7447134/ ER -