--- _id: '12800' abstract: - lang: eng text: 'The evolutionary processes that brought about today’s plethora of living species and the many billions more ancient ones all underlie biology. Evolutionary pathways are neither directed nor deterministic, but rather an interplay between selection, migration, mutation, genetic drift and other environmental factors. Hybrid zones, as natural crossing experiments, offer a great opportunity to use cline analysis to deduce different evolutionary processes - for example, selection strength. Theoretical cline models, largely assuming uniform distribution of individuals, often lack the capability of incorporating population structure. Since in reality organisms mostly live in patchy distributions and their dispersal is hardly ever Gaussian, it is necessary to unravel the effect of these different elements of population structure on cline parameters and shape. In this thesis, I develop a simulation inspired by the A. majus hybrid zone of a single selected locus under frequency dependent selection. This simulation enables us to untangle the effects of different elements of population structure as for example a low-density center and long-range dispersal. This thesis is therefore a first step towards theoretically untangling the effects of different elements of population structure on cline parameters and shape. ' alternative_title: - ISTA Master's Thesis article_processing_charge: No author: - first_name: Mara full_name: Julseth, Mara id: 1cf464b2-dc7d-11ea-9b2f-f9b1aa9417d1 last_name: Julseth citation: ama: Julseth M. The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone. 2023. doi:10.15479/at:ista:12800 apa: Julseth, M. (2023). The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12800 chicago: Julseth, Mara. “The Effect of Local Population Structure on Genetic Variation at Selected Loci in the A. Majus Hybrid Zone.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:12800. ieee: M. Julseth, “The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone,” Institute of Science and Technology Austria, 2023. ista: Julseth M. 2023. The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone. Institute of Science and Technology Austria. mla: Julseth, Mara. The Effect of Local Population Structure on Genetic Variation at Selected Loci in the A. Majus Hybrid Zone. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:12800. short: M. Julseth, The Effect of Local Population Structure on Genetic Variation at Selected Loci in the A. Majus Hybrid Zone, Institute of Science and Technology Austria, 2023. date_created: 2023-04-04T18:57:11Z date_published: 2023-04-05T00:00:00Z date_updated: 2023-06-02T22:30:05Z day: '05' ddc: - '576' degree_awarded: MS department: - _id: GradSch - _id: NiBa doi: 10.15479/at:ista:12800 file: - access_level: closed checksum: b76cf6d69f2093d8248f6a3f9d4654a4 content_type: application/vnd.openxmlformats-officedocument.spreadsheetml.sheet creator: mjulseth date_created: 2023-04-06T06:09:40Z date_updated: 2023-06-02T22:30:04Z embargo_to: open_access file_id: '12805' file_name: Dispersaldata.xlsx file_size: 52795 relation: supplementary_material - access_level: open_access checksum: 5a13b6d204371572e249f03795bc0d04 content_type: application/vnd.wolfram.nb creator: mjulseth date_created: 2023-04-06T06:11:27Z date_updated: 2023-06-02T22:30:04Z embargo: 2023-06-01 file_id: '12806' file_name: 2023_MSc_ThesisMaraJulseth_Notebook.nb file_size: 787239 relation: supplementary_material - access_level: closed checksum: c3ec842839ed1e66bf2618ae33047df8 content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: mjulseth date_created: 2023-04-06T08:26:12Z date_updated: 2023-06-02T22:30:04Z embargo_to: open_access file_id: '12812' file_name: ThesisMaraJulseth_04_23.docx file_size: 1061763 relation: source_file - access_level: open_access checksum: 3132cc998fbe3ae2a3a83c2a69367f37 content_type: application/pdf creator: mjulseth date_created: 2023-04-06T08:26:37Z date_updated: 2023-06-02T22:30:04Z embargo: 2023-06-01 file_id: '12813' file_name: ThesisMaraJulseth_04_23.pdf file_size: 1741364 relation: main_file file_date_updated: 2023-06-02T22:30:04Z has_accepted_license: '1' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: '21' publication_identifier: issn: - 2791-4585 publication_status: published publisher: Institute of Science and Technology Austria status: public supervisor: - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 title: The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone type: dissertation user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2023' ... --- _id: '14510' acknowledged_ssus: - _id: EM-Fac - _id: Bio - _id: LifeSc alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Nataliia full_name: Gnyliukh, Nataliia id: 390C1120-F248-11E8-B48F-1D18A9856A87 last_name: Gnyliukh orcid: 0000-0002-2198-0509 citation: ama: Gnyliukh N. Mechanism of clathrin-coated vesicle  formation during endocytosis in plants. 2023. doi:10.15479/at:ista:14510 apa: Gnyliukh, N. (2023). Mechanism of clathrin-coated vesicle  formation during endocytosis in plants. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14510 chicago: Gnyliukh, Nataliia. “Mechanism of Clathrin-Coated Vesicle  Formation during Endocytosis in Plants.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14510. ieee: N. Gnyliukh, “Mechanism of clathrin-coated vesicle  formation during endocytosis in plants,” Institute of Science and Technology Austria, 2023. ista: Gnyliukh N. 2023. Mechanism of clathrin-coated vesicle  formation during endocytosis in plants. Institute of Science and Technology Austria. mla: Gnyliukh, Nataliia. Mechanism of Clathrin-Coated Vesicle  Formation during Endocytosis in Plants. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14510. short: N. Gnyliukh, Mechanism of Clathrin-Coated Vesicle  Formation during Endocytosis in Plants, Institute of Science and Technology Austria, 2023. date_created: 2023-11-10T09:10:06Z date_published: 2023-11-10T00:00:00Z date_updated: 2024-03-27T23:30:45Z day: '10' ddc: - '570' degree_awarded: PhD department: - _id: GradSch - _id: JiFr - _id: MaLo doi: 10.15479/at:ista:14510 ec_funded: 1 file: - access_level: closed checksum: 3d5e680bfc61f98e308c434f45cc9bd6 content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: ngnyliuk date_created: 2023-11-20T09:18:51Z date_updated: 2023-11-20T09:18:51Z file_id: '14567' file_name: Thesis_Gnyliukh_final_08_11_23.docx file_size: 20824903 relation: source_file - access_level: closed checksum: bfc96d47fc4e7e857dd71656097214a4 content_type: application/pdf creator: ngnyliuk date_created: 2023-11-20T09:23:11Z date_updated: 2023-11-23T13:10:55Z embargo: 2024-11-23 embargo_to: open_access file_id: '14568' file_name: Thesis_Gnyliukh_final_20_11_23.pdf file_size: 24871844 relation: main_file file_date_updated: 2023-11-23T13:10:55Z has_accepted_license: '1' keyword: - Clathrin-Mediated Endocytosis - vesicle scission - Dynamin-Related Protein 2 - SH3P2 - TPLATE complex - Total internal reflection fluorescence microscopy - Arabidopsis thaliana language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '11' oa_version: Published Version page: '180' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication_identifier: isbn: - 978-3-99078-037-4 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '14591' relation: part_of_dissertation status: public - id: '9887' relation: part_of_dissertation status: public - id: '8139' relation: part_of_dissertation status: public status: public supervisor: - first_name: Jiří full_name: Friml, Jiří id: 4159519E-F248-11E8-B48F-1D18A9856A87 last_name: Friml orcid: 0000-0002-8302-7596 - first_name: Martin full_name: Loose, Martin id: 462D4284-F248-11E8-B48F-1D18A9856A87 last_name: Loose orcid: 0000-0001-7309-9724 title: Mechanism of clathrin-coated vesicle formation during endocytosis in plants tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2023' ... --- _id: '12897' abstract: - lang: eng text: "Inverse design problems in fabrication-aware shape optimization are typically solved on discrete representations such as polygonal meshes. This thesis argues that there are benefits to treating these problems in the same domain as human designers, namely, the parametric one. One reason is that discretizing a parametric model usually removes the capability of making further manual changes to the design, because the human intent is captured by the shape parameters. Beyond this, knowledge about a design problem can sometimes reveal a structure that is present in a smooth representation, but is fundamentally altered by discretizing. In this case, working in the parametric domain may even simplify the optimization task. We present two lines of research that explore both of these aspects of fabrication-aware shape optimization on parametric representations.\r\n\r\nThe first project studies the design of plane elastic curves and Kirchhoff rods, which are common mathematical models for describing the deformation of thin elastic rods such as beams, ribbons, cables, and hair. Our main contribution is a characterization of all curved shapes that can be attained by bending and twisting elastic rods having a stiffness that is allowed to vary across the length. Elements like these can be manufactured using digital fabrication devices such as 3d printers and digital cutters, and have applications in free-form architecture and soft robotics.\r\n\r\nWe show that the family of curved shapes that can be produced this way admits geometric description that is concise and computationally convenient. In the case of plane curves, the geometric description is intuitive enough to allow a designer to determine whether a curved shape is physically achievable by visual inspection alone. We also present shape optimization algorithms that convert a user-defined curve in the plane or in three dimensions into the geometry of an elastic rod that will naturally deform to follow this curve when its endpoints are attached to a support structure. Implemented in an interactive software design tool, the rod geometry is generated in real time as the user edits a curve and enables fast prototyping. \r\n\r\nThe second project tackles the problem of general-purpose shape optimization on CAD models using a novel variant of the extended finite element method (XFEM). Our goal is the decoupling between the simulation mesh and the CAD model, so no geometry-dependent meshing or remeshing needs to be performed when the CAD parameters change during optimization. This is achieved by discretizing the embedding space of the CAD model, and using a new high-accuracy numerical integration method to enable XFEM on free-form elements bounded by the parametric surface patches of the model. Our simulation is differentiable from the CAD parameters to the simulation output, which enables us to use off-the-shelf gradient-based optimization procedures. The result is a method that fits seamlessly into the CAD workflow because it works on the same representation as the designer, enabling the alternation of manual editing and fabrication-aware optimization at will." acknowledged_ssus: - _id: M-Shop alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Christian full_name: Hafner, Christian id: 400429CC-F248-11E8-B48F-1D18A9856A87 last_name: Hafner citation: ama: 'Hafner C. Inverse shape design with parametric representations: Kirchhoff Rods and parametric surface models. 2023. doi:10.15479/at:ista:12897' apa: 'Hafner, C. (2023). Inverse shape design with parametric representations: Kirchhoff Rods and parametric surface models. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12897' chicago: 'Hafner, Christian. “Inverse Shape Design with Parametric Representations: Kirchhoff Rods and Parametric Surface Models.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:12897.' ieee: 'C. Hafner, “Inverse shape design with parametric representations: Kirchhoff Rods and parametric surface models,” Institute of Science and Technology Austria, 2023.' ista: 'Hafner C. 2023. Inverse shape design with parametric representations: Kirchhoff Rods and parametric surface models. Institute of Science and Technology Austria.' mla: 'Hafner, Christian. Inverse Shape Design with Parametric Representations: Kirchhoff Rods and Parametric Surface Models. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:12897.' short: 'C. Hafner, Inverse Shape Design with Parametric Representations: Kirchhoff Rods and Parametric Surface Models, Institute of Science and Technology Austria, 2023.' date_created: 2023-05-05T10:40:14Z date_published: 2023-05-05T00:00:00Z date_updated: 2024-01-29T10:47:51Z day: '05' ddc: - '516' - '004' - '518' - '531' degree_awarded: PhD department: - _id: GradSch - _id: BeBi doi: 10.15479/at:ista:12897 ec_funded: 1 file: - access_level: open_access checksum: cc2094e92fa27000b70eb4bfb76d6b5a content_type: application/pdf creator: chafner date_created: 2023-05-11T10:43:20Z date_updated: 2023-12-08T23:30:04Z embargo: 2023-12-07 file_id: '12942' file_name: thesis-hafner-2023may11-a2b.pdf file_size: 50714445 relation: main_file - access_level: closed checksum: a6b51334be2b81672357b1549afab40c content_type: application/pdf creator: chafner date_created: 2023-05-11T10:43:44Z date_updated: 2023-12-08T23:30:04Z embargo_to: open_access file_id: '12943' file_name: thesis-release-form.pdf file_size: 265319 relation: source_file file_date_updated: 2023-12-08T23:30:04Z has_accepted_license: '1' language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: '180' project: - _id: 24F9549A-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '715767' name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and Modeling' publication_identifier: isbn: - 978-3-99078-031-2 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '9817' relation: part_of_dissertation status: public - id: '7117' relation: part_of_dissertation status: public - id: '13188' relation: dissertation_contains status: public status: public supervisor: - first_name: Bernd full_name: Bickel, Bernd id: 49876194-F248-11E8-B48F-1D18A9856A87 last_name: Bickel orcid: 0000-0001-6511-9385 title: 'Inverse shape design with parametric representations: Kirchhoff Rods and parametric surface models' type: dissertation user_id: 400429CC-F248-11E8-B48F-1D18A9856A87 year: '2023' ... --- _id: '12072' abstract: - lang: eng text: "In this thesis, we study two of the most important questions in Arithmetic geometry: that of the existence and density of solutions to Diophantine equations. In order for a Diophantine equation to have any solutions over the rational numbers, it must have solutions everywhere locally, i.e., over R and over Qp for every prime p. The converse, called the Hasse principle, is known to fail in general. However, it is still a central question in Arithmetic geometry to determine for which varieties the Hasse principle does hold. In this work, we establish the Hasse principle for a wide new family of varieties of the form f(t) = NK/Q(x) ̸= 0, where f is a polynomial with integer coefficients and NK/Q denotes the norm\r\nform associated to a number field K. Our results cover products of arbitrarily many linear, quadratic or cubic factors, and generalise an argument of Irving [69], which makes use of the beta sieve of Rosser and Iwaniec. We also demonstrate how our main sieve results can be applied to treat new cases of a conjecture of Harpaz and Wittenberg on locally split values of polynomials over number fields, and discuss consequences for rational points in fibrations.\r\nIn the second question, about the density of solutions, one defines a height function and seeks to estimate asymptotically the number of points of height bounded by B as B → ∞. Traditionally, one either counts rational points, or\r\nintegral points with respect to a suitable model. However, in this thesis, we study an emerging area of interest in Arithmetic geometry known as Campana points, which in some sense interpolate between rational and integral points.\r\nMore precisely, we count the number of nonzero integers z1, z2, z3 such that gcd(z1, z2, z3) = 1, and z1, z2, z3, z1 + z2 + z3 are all squareful and bounded by B. Using the circle method, we obtain an asymptotic formula which agrees in\r\nthe power of B and log B with a bold new generalisation of Manin’s conjecture to the setting of Campana points, recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado [96]. However, in this thesis we also provide the first known counterexamples to leading constant predicted by their conjecture. " acknowledgement: I acknowledge the received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska Curie Grant Agreement No. 665385. alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Alec L full_name: Shute, Alec L id: 440EB050-F248-11E8-B48F-1D18A9856A87 last_name: Shute orcid: 0000-0002-1812-2810 citation: ama: 'Shute AL. Existence and density problems in Diophantine geometry: From norm forms to Campana points. 2022. doi:10.15479/at:ista:12072' apa: 'Shute, A. L. (2022). Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12072' chicago: 'Shute, Alec L. “Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12072.' ieee: 'A. L. Shute, “Existence and density problems in Diophantine geometry: From norm forms to Campana points,” Institute of Science and Technology Austria, 2022.' ista: 'Shute AL. 2022. Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria.' mla: 'Shute, Alec L. Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12072.' short: 'A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.' date_created: 2022-09-08T21:53:03Z date_published: 2022-09-08T00:00:00Z date_updated: 2023-02-21T16:37:35Z day: '08' ddc: - '512' degree_awarded: PhD department: - _id: GradSch - _id: TiBr doi: 10.15479/at:ista:12072 ec_funded: 1 file: - access_level: open_access checksum: bf073344320e05d92c224786cec2e92d content_type: application/pdf creator: ashute date_created: 2022-09-08T21:50:34Z date_updated: 2022-09-08T21:50:34Z file_id: '12073' file_name: Thesis_final_draft.pdf file_size: 1907386 relation: main_file success: 1 - access_level: closed checksum: b054ac6baa09f70e8235403a4abbed80 content_type: application/octet-stream creator: ashute date_created: 2022-09-08T21:50:42Z date_updated: 2022-09-12T11:24:21Z file_id: '12074' file_name: athesis.tex file_size: 495393 relation: source_file - access_level: closed checksum: 0a31e905f1cff5eb8110978cc90e1e79 content_type: application/x-zip-compressed creator: ashute date_created: 2022-09-09T12:05:00Z date_updated: 2022-09-12T11:24:21Z file_id: '12078' file_name: qfcjsfmtvtbfrjjvhdzrnqxfvgjvxtbf.zip file_size: 944534 relation: source_file file_date_updated: 2022-09-12T11:24:21Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-sa/4.0/ month: '09' oa: 1 oa_version: Published Version page: '208' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication_identifier: isbn: - 978-3-99078-023-7 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '12076' relation: part_of_dissertation status: public - id: '12077' relation: part_of_dissertation status: public status: public supervisor: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 title: 'Existence and density problems in Diophantine geometry: From norm forms to Campana points' tmp: image: /images/cc_by_nc_sa.png legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) short: CC BY-NC-SA (4.0) type: dissertation user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2022' ... --- _id: '11777' abstract: - lang: eng text: "In this dissertation we study coboundary expansion of simplicial complex with a view of giving geometric applications.\r\nOur main novel tool is an equivariant version of Gromov's celebrated Topological Overlap Theorem. The equivariant topological overlap theorem leads to various geometric applications including a quantitative non-embeddability result for sufficiently thick buildings (which partially resolves a conjecture of Tancer and Vorwerk) and an improved lower bound on the pair-crossing number of (bounded degree) expander graphs. Additionally, we will give new proofs for several known lower bounds for geometric problems such as the number of Tverberg partitions or the crossing number of complete bipartite graphs.\r\nFor the aforementioned applications one is naturally lead to study expansion properties of joins of simplicial complexes. In the presence of a special certificate for expansion (as it is the case, e.g., for spherical buildings), the join of two expanders is an expander. On the flip-side, we report quite some evidence that coboundary expansion exhibits very non-product-like behaviour under taking joins. For instance, we exhibit infinite families of graphs $(G_n)_{n\\in \\mathbb{N}}$ and $(H_n)_{n\\in\\mathbb{N}}$ whose join $G_n*H_n$ has expansion of lower order than the product of the expansion constant of the graphs. Moreover, we show an upper bound of $(d+1)/2^d$ on the normalized coboundary expansion constants for the complete multipartite complex $[n]^{*(d+1)}$ (under a mild divisibility condition on $n$).\r\nVia the probabilistic method the latter result extends to an upper bound of $(d+1)/2^d+\\varepsilon$ on the coboundary expansion constant of the spherical building associated with $\\mathrm{PGL}_{d+2}(\\mathbb{F}_q)$ for any $\\varepsilon>0$ and sufficiently large $q=q(\\varepsilon)$. This disproves a conjecture of Lubotzky, Meshulam and Mozes -- in a rather strong sense.\r\nBy improving on existing lower bounds we make further progress towards closing the gap between the known lower and upper bounds on the coboundary expansion constants of $[n]^{*(d+1)}$. The best improvements we achieve using computer-aided proofs and flag algebras. The exact value even for the complete $3$-partite $2$-dimensional complex $[n]^{*3}$ remains unknown but we are happy to conjecture a precise value for every $n$. %Moreover, we show that a previously shown lower bound on the expansion constant of the spherical building associated with $\\mathrm{PGL}_{2}(\\mathbb{F}_q)$ is not tight.\r\nIn a loosely structured, last chapter of this thesis we collect further smaller observations related to expansion. We point out a link between discrete Morse theory and a technique for showing coboundary expansion, elaborate a bit on the hardness of computing coboundary expansion constants, propose a new criterion for coboundary expansion (in a very dense setting) and give one way of making the folklore result that expansion of links is a necessary condition for a simplicial complex to be an expander precise." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Pascal full_name: Wild, Pascal id: 4C20D868-F248-11E8-B48F-1D18A9856A87 last_name: Wild citation: ama: Wild P. High-dimensional expansion and crossing numbers of simplicial complexes. 2022. doi:10.15479/at:ista:11777 apa: Wild, P. (2022). High-dimensional expansion and crossing numbers of simplicial complexes. Institute of Science and Technology. https://doi.org/10.15479/at:ista:11777 chicago: Wild, Pascal. “High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes.” Institute of Science and Technology, 2022. https://doi.org/10.15479/at:ista:11777. ieee: P. Wild, “High-dimensional expansion and crossing numbers of simplicial complexes,” Institute of Science and Technology, 2022. ista: Wild P. 2022. High-dimensional expansion and crossing numbers of simplicial complexes. Institute of Science and Technology. mla: Wild, Pascal. High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes. Institute of Science and Technology, 2022, doi:10.15479/at:ista:11777. short: P. Wild, High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes, Institute of Science and Technology, 2022. date_created: 2022-08-10T15:51:19Z date_published: 2022-08-11T00:00:00Z date_updated: 2023-06-22T09:56:36Z day: '11' ddc: - '500' - '516' - '514' degree_awarded: PhD department: - _id: GradSch - _id: UlWa doi: 10.15479/at:ista:11777 ec_funded: 1 file: - access_level: open_access checksum: f5f3af1fb7c8a24b71ddc88ad7f7c5b4 content_type: text/x-python creator: pwild date_created: 2022-08-10T15:34:04Z date_updated: 2022-08-10T15:34:04Z description: Code for computer-assisted proofs in Section 8.4.7 in Thesis file_id: '11780' file_name: flags.py file_size: 16828 relation: supplementary_material - access_level: open_access checksum: 1f7c12dfe3bdaa9b147e4fbc3d34e3d5 content_type: text/x-c++src creator: pwild date_created: 2022-08-10T15:34:10Z date_updated: 2022-08-10T15:34:10Z description: Code for proof of Lemma 8.20 in Thesis file_id: '11781' file_name: lowerbound.cpp file_size: 12226 relation: supplementary_material - access_level: open_access checksum: 4cf81455c49e5dec3b9b2e3980137eeb content_type: text/x-python creator: pwild date_created: 2022-08-10T15:34:17Z date_updated: 2022-08-10T15:34:17Z description: Code for proof of Proposition 7.9 in Thesis file_id: '11782' file_name: upperbound.py file_size: 3240 relation: supplementary_material - access_level: open_access checksum: 4e96575b10cbe4e0d0db2045b2847774 content_type: application/pdf creator: pwild date_created: 2022-08-11T16:08:33Z date_updated: 2022-08-11T16:08:33Z file_id: '11809' file_name: finalthesisPascalWildPDFA.pdf file_size: 5086282 relation: main_file title: High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes - access_level: closed checksum: 92d94842a1fb6dca5808448137573b2e content_type: application/zip creator: pwild date_created: 2022-08-11T16:09:19Z date_updated: 2022-08-11T16:09:19Z file_id: '11810' file_name: ThesisSubmission.zip file_size: 18150068 relation: source_file file_date_updated: 2022-08-11T16:09:19Z has_accepted_license: '1' language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: '170' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication_identifier: isbn: - 978-3-99078-021-3 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology status: public supervisor: - first_name: Uli full_name: Wagner, Uli id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 title: High-dimensional expansion and crossing numbers of simplicial complexes type: dissertation user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2022' ... --- _id: '11128' abstract: - lang: eng text: "Although we often see studies focusing on simple or even discrete traits in studies of colouration,\r\nthe variation of “appearance” phenotypes found in nature is often more complex, continuous\r\nand high-dimensional. Therefore, we developed automated methods suitable for large datasets\r\nof genomes and images, striving to account for their complex nature, while minimising human\r\nbias. We used these methods on a dataset of more than 20, 000 plant SNP genomes and\r\ncorresponding fower images from a hybrid zone of two subspecies of Antirrhinum majus with\r\ndistinctly coloured fowers to improve our understanding of the genetic nature of the fower\r\ncolour in our study system.\r\nFirstly, we use the advantage of large numbers of genotyped plants to estimate the haplotypes in\r\nthe main fower colour regulating region. We study colour- and geography-related characteristics\r\nof the estimated haplotypes and how they connect to their relatedness. We show discrepancies\r\nfrom the expected fower colour distributions given the genotype and identify particular\r\nhaplotypes leading to unexpected phenotypes. We also confrm a signifcant defcit of the\r\ndouble recessive recombinant and quite surprisingly, we show that haplotypes of the most\r\nfrequent parental type are much less variable than others.\r\nSecondly, we introduce our pipeline capable of processing tens of thousands of full fower\r\nimages without human interaction and summarising each image into a set of informative scores.\r\nWe show the compatibility of these machine-measured fower colour scores with the previously\r\nused manual scores and study impact of external efect on the resulting scores. Finally, we use\r\nthe machine-measured fower colour scores to ft and examine a phenotype cline across the\r\nhybrid zone in Planoles using full fower images as opposed to discrete, manual scores and\r\ncompare it with the genotypic cline." acknowledged_ssus: - _id: ScienComp - _id: Bio alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Lenka full_name: Matejovicova, Lenka id: 2DFDEC72-F248-11E8-B48F-1D18A9856A87 last_name: Matejovicova citation: ama: Matejovicova L. Genetic basis of flower colour as a model for adaptive evolution. 2022. doi:10.15479/at:ista:11128 apa: Matejovicova, L. (2022). Genetic basis of flower colour as a model for adaptive evolution. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:11128 chicago: Matejovicova, Lenka. “Genetic Basis of Flower Colour as a Model for Adaptive Evolution.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:11128. ieee: L. Matejovicova, “Genetic basis of flower colour as a model for adaptive evolution,” Institute of Science and Technology Austria, 2022. ista: Matejovicova L. 2022. Genetic basis of flower colour as a model for adaptive evolution. Institute of Science and Technology Austria. mla: Matejovicova, Lenka. Genetic Basis of Flower Colour as a Model for Adaptive Evolution. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:11128. short: L. Matejovicova, Genetic Basis of Flower Colour as a Model for Adaptive Evolution, Institute of Science and Technology Austria, 2022. date_created: 2022-04-07T08:19:54Z date_published: 2022-04-06T00:00:00Z date_updated: 2023-06-23T06:26:41Z day: '06' ddc: - '576' - '582' degree_awarded: PhD department: - _id: GradSch - _id: NiBa doi: 10.15479/at:ista:11128 file: - access_level: open_access checksum: e9609bc4e8f8e20146fc1125fd4f1bf7 content_type: application/pdf creator: cchlebak date_created: 2022-04-07T08:11:34Z date_updated: 2022-04-07T08:11:34Z file_id: '11129' file_name: LenkaPhD_Official_PDFA.pdf file_size: 11906472 relation: main_file - access_level: closed checksum: 99d67040432fd07a225643a212ee8588 content_type: application/x-zip-compressed creator: cchlebak date_created: 2022-04-07T08:11:51Z date_updated: 2022-04-07T08:11:51Z file_id: '11130' file_name: LenkaPhD Official_source.zip file_size: 23036766 relation: source_file file_date_updated: 2022-04-07T08:11:51Z has_accepted_license: '1' language: - iso: eng month: '04' oa: 1 oa_version: Published Version page: '112' publication_identifier: isbn: - 978-3-99078-016-9 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria status: public supervisor: - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 title: Genetic basis of flower colour as a model for adaptive evolution tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2022' ... --- _id: '11945' abstract: - lang: eng text: "G protein-coupled receptors (GPCRs) respond to specific ligands and regulate multiple processes ranging from cell growth and immune responses to neuronal signal transmission. However, ligands for many GPCRs remain unknown, suffer from off-target effects or have poor bioavailability. Additional challenges exist to dissect cell-type specific responses when the same GPCR is expressed on several cell types within the body. Here, we overcome these limitations by engineering DREADD-based GPCR chimeras that selectively bind their agonist clozapine-N-oxide (CNO) and mimic a GPCR-of-interest in a desired cell type.\r\nWe validated our approach with β2-adrenergic receptor (β2AR/ADRB2) and show that our chimeric DREADD-β2AR triggers comparable responses on second messenger and kinase activity, post-translational modifications, and protein-protein interactions. Since β2AR is also enriched in microglia, which can drive inflammation in the central nervous system, we expressed chimeric DREADD-β2AR in primary microglia and successfully recapitulate β2AR-mediated filopodia formation through CNO stimulation. To dissect the role of selected GPCRs during microglial inflammation, we additionally generated DREADD-based chimeras for microglia-enriched GPR65 and GPR109A/HCAR2. In a microglia cell line, DREADD-β2AR and DREADD-GPR65 both modulated the inflammatory response with a similar profile as endogenously expressed β2AR, while DREADD-GPR109A showed no impact.\r\nOur DREADD-based approach provides the means to obtain mechanistic and functional insights into GPCR signaling on a cell-type specific level." acknowledged_ssus: - _id: Bio - _id: PreCl - _id: LifeSc alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Rouven full_name: Schulz, Rouven id: 4C5E7B96-F248-11E8-B48F-1D18A9856A87 last_name: Schulz orcid: 0000-0001-5297-733X citation: ama: Schulz R. Chimeric G protein-coupled receptors mimic distinct signaling pathways and modulate microglia function. 2022. doi:10.15479/at:ista:11945 apa: Schulz, R. (2022). Chimeric G protein-coupled receptors mimic distinct signaling pathways and modulate microglia function. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:11945 chicago: Schulz, Rouven. “Chimeric G Protein-Coupled Receptors Mimic Distinct Signaling Pathways and Modulate Microglia Function.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:11945. ieee: R. Schulz, “Chimeric G protein-coupled receptors mimic distinct signaling pathways and modulate microglia function,” Institute of Science and Technology Austria, 2022. ista: Schulz R. 2022. Chimeric G protein-coupled receptors mimic distinct signaling pathways and modulate microglia function. Institute of Science and Technology Austria. mla: Schulz, Rouven. Chimeric G Protein-Coupled Receptors Mimic Distinct Signaling Pathways and Modulate Microglia Function. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:11945. short: R. Schulz, Chimeric G Protein-Coupled Receptors Mimic Distinct Signaling Pathways and Modulate Microglia Function, Institute of Science and Technology Austria, 2022. date_created: 2022-08-23T11:33:11Z date_published: 2022-08-23T00:00:00Z date_updated: 2023-08-03T13:02:26Z day: '23' ddc: - '570' degree_awarded: PhD department: - _id: GradSch - _id: SaSi doi: 10.15479/at:ista:11945 file: - access_level: open_access checksum: 61b1b666a210ff7cdd0e95ea75207a13 content_type: application/pdf creator: rschulz date_created: 2022-08-25T08:59:57Z date_updated: 2022-08-25T08:59:57Z file_id: '11970' file_name: Thesis_Rouven_Schulz_2022_final.pdf file_size: 28079331 relation: main_file success: 1 - access_level: closed checksum: 2b8f95ea1c134dbdb927b41b1dbeeeb5 content_type: application/vnd.openxmlformats-officedocument.wordprocessingml.document creator: rschulz date_created: 2022-08-25T09:00:11Z date_updated: 2022-08-25T09:33:31Z file_id: '11971' file_name: Thesis_Rouven_Schulz_2022_final.docx file_size: 27226963 relation: source_file file_date_updated: 2022-08-25T09:33:31Z has_accepted_license: '1' language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: '133' project: - _id: 267F75D8-B435-11E9-9278-68D0E5697425 name: Modulating microglia through G protein-coupled receptor (GPCR) signaling publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '11995' relation: dissertation_contains status: public status: public supervisor: - first_name: Sandra full_name: Siegert, Sandra id: 36ACD32E-F248-11E8-B48F-1D18A9856A87 last_name: Siegert orcid: 0000-0001-8635-0877 title: Chimeric G protein-coupled receptors mimic distinct signaling pathways and modulate microglia function tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2022' ... --- _id: '12390' abstract: - lang: eng text: "The scope of this thesis is to study quantum systems exhibiting a continuous symmetry that\r\nis broken on the level of the corresponding effective theory. In particular we are going to\r\ninvestigate translation-invariant Bose gases in the mean field limit, effectively described by\r\nthe Hartree functional, and the Fröhlich Polaron in the regime of strong coupling, effectively\r\ndescribed by the Pekar functional. The latter is a model describing the interaction between a\r\ncharged particle and the optical modes of a polar crystal. Regarding the former, we assume in\r\naddition that the particles in the gas are unconfined, and typically we will consider particles\r\nthat are subject to an attractive interaction. In both cases the ground state energy of the\r\nHamiltonian is not a proper eigenvalue due to the underlying translation-invariance, while on\r\nthe contrary there exists a whole invariant orbit of minimizers for the corresponding effective\r\nfunctionals. Both, the absence of proper eigenstates and the broken symmetry of the effective\r\ntheory, make the study significantly more involved and it is the content of this thesis to\r\ndevelop a frameworks which allows for a systematic way to circumvent these issues.\r\nIt is a well-established result that the ground state energy of Bose gases in the mean field limit,\r\nas well as the ground state energy of the Fröhlich Polaron in the regime of strong coupling, is\r\nto leading order given by the minimal energy of the corresponding effective theory. As part\r\nof this thesis we identify the sub-leading term in the expansion of the ground state energy,\r\nwhich can be interpreted as the quantum correction to the classical energy, since the effective\r\ntheories under consideration can be seen as classical counterparts.\r\nWe are further going to establish an asymptotic expression for the energy-momentum relation\r\nof the Fröhlich Polaron in the strong coupling limit. In the regime of suitably small momenta,\r\nthis asymptotic expression agrees with the energy-momentum relation of a free particle having\r\nan effectively increased mass, and we find that this effectively increased mass agrees with the\r\nconjectured value in the physics literature.\r\nIn addition we will discuss two unrelated papers written by the author during his stay at ISTA\r\nin the appendix. The first one concerns the realization of anyons, which are quasi-particles\r\nacquiring a non-trivial phase under the exchange of two particles, as molecular impurities.\r\nThe second one provides a classification of those vector fields defined on a given manifold\r\nthat can be written as the gradient of a given functional with respect to a suitable metric,\r\nprovided that some mild smoothness assumptions hold. This classification is subsequently\r\nused to identify those quantum Markov semigroups that can be written as a gradient flow of\r\nthe relative entropy.\r\n" alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Morris full_name: Brooks, Morris id: B7ECF9FC-AA38-11E9-AC9A-0930E6697425 last_name: Brooks orcid: 0000-0002-6249-0928 citation: ama: Brooks M. Translation-invariant quantum systems with effectively broken symmetry. 2022. doi:10.15479/at:ista:12390 apa: Brooks, M. (2022). Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12390 chicago: Brooks, Morris. “Translation-Invariant Quantum Systems with Effectively Broken Symmetry.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12390. ieee: M. Brooks, “Translation-invariant quantum systems with effectively broken symmetry,” Institute of Science and Technology Austria, 2022. ista: Brooks M. 2022. Translation-invariant quantum systems with effectively broken symmetry. Institute of Science and Technology Austria. mla: Brooks, Morris. Translation-Invariant Quantum Systems with Effectively Broken Symmetry. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12390. short: M. Brooks, Translation-Invariant Quantum Systems with Effectively Broken Symmetry, Institute of Science and Technology Austria, 2022. date_created: 2023-01-26T10:00:42Z date_published: 2022-12-15T00:00:00Z date_updated: 2023-08-07T13:32:09Z day: '15' ddc: - '500' degree_awarded: PhD department: - _id: GradSch - _id: RoSe doi: 10.15479/at:ista:12390 ec_funded: 1 file: - access_level: open_access checksum: b31460e937f33b557abb40ebef02b567 content_type: application/pdf creator: cchlebak date_created: 2023-01-26T10:02:34Z date_updated: 2023-01-26T10:02:34Z file_id: '12391' file_name: Brooks_Thesis.pdf file_size: 3095225 relation: main_file success: 1 - access_level: closed checksum: 9751869fa5e7981588ad4228f4fd4bd6 content_type: application/octet-stream creator: cchlebak date_created: 2023-01-26T10:02:42Z date_updated: 2023-01-26T10:02:42Z file_id: '12392' file_name: Brooks_Thesis.tex file_size: 809842 relation: source_file file_date_updated: 2023-01-26T10:02:42Z has_accepted_license: '1' language: - iso: eng month: '12' oa: 1 oa_version: Published Version page: '196' project: - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '9005' relation: part_of_dissertation status: public status: public supervisor: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 title: Translation-invariant quantum systems with effectively broken symmetry tmp: image: /images/cc_by_nc_sa.png legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) short: CC BY-NC-SA (4.0) type: dissertation user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2022' ... --- _id: '12368' abstract: - lang: eng text: "Metazoan development relies on the formation and remodeling of cell-cell contacts. The \r\nbinding of adhesion receptors and remodeling of the actomyosin cell cortex at cell-cell \r\ninteraction sites have been implicated in cell-cell contact formation. Yet, how these two \r\nprocesses functionally interact to drive cell-cell contact expansion and strengthening \r\nremains unclear. Here, we study how primary germ layer progenitor cells from zebrafish \r\nbind to supported lipid bilayers (SLB) functionalized with E-cadherin ectodomains as an \r\nassay system for monitoring cell-cell contact formation at high spatiotemporal resolution. \r\nWe show that cell-cell contact formation represents a two-tiered process: E-cadherin\x02mediated downregulation of the small GTPase RhoA at the forming contact leads to both \r\ndepletion of Myosin-2 and decrease of F-actin. This is followed by centrifugal actin \r\nnetwork flows at the contact triggered by a sharp gradient of Myosin-2 at the rim of the \r\ncontact zone, with Myosin-2 displaying higher cortical localization outside than inside of \r\nthe contact. These centrifugal cortical actin flows, in turn, not only further dilute the actin \r\nnetwork at the contact disc, but also lead to an accumulation of both F-actin and E\x02cadherin at the contact rim. Eventually, this combination of actomyosin downregulation \r\nand flows at the contact contribute to the characteristic molecular organization implicated \r\nin contact formation and maintenance: depletion of cortical actomyosin at the contact disc, \r\ndriving contact expansion by lowering interfacial tension at the contact, and accumulation \r\nof both E-cadherin and F-actin at the contact rim, mechanically linking the contractile \r\ncortices of the adhering cells. Thus, using a biomimetic assay, we exemplify how \r\nadhesion signaling and cell mechanics function together to modulate the spatial \r\norganization of cell-cell contacts." acknowledged_ssus: - _id: LifeSc - _id: Bio - _id: NanoFab alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Feyza N full_name: Arslan, Feyza N id: 49DA7910-F248-11E8-B48F-1D18A9856A87 last_name: Arslan orcid: 0000-0001-5809-9566 citation: ama: Arslan FN. Remodeling of E-cadherin-mediated contacts via cortical  flows. 2022. doi:10.15479/at:ista:12153 apa: Arslan, F. N. (2022). Remodeling of E-cadherin-mediated contacts via cortical  flows. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12153 chicago: Arslan, Feyza N. “Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12153. ieee: F. N. Arslan, “Remodeling of E-cadherin-mediated contacts via cortical  flows,” Institute of Science and Technology Austria, 2022. ista: Arslan FN. 2022. Remodeling of E-cadherin-mediated contacts via cortical  flows. Institute of Science and Technology Austria. mla: Arslan, Feyza N. Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12153. short: F.N. Arslan, Remodeling of E-Cadherin-Mediated Contacts via Cortical  Flows, Institute of Science and Technology Austria, 2022. date_created: 2023-01-25T10:43:24Z date_published: 2022-09-29T00:00:00Z date_updated: 2023-08-08T13:14:10Z day: '29' ddc: - '570' degree_awarded: PhD department: - _id: GradSch - _id: CaHe doi: 10.15479/at:ista:12153 ec_funded: 1 file: - access_level: open_access checksum: e54a3e69b83ebf166544164afd25608e content_type: application/pdf creator: cchlebak date_created: 2023-01-25T10:52:46Z date_updated: 2023-01-25T10:52:46Z file_id: '12369' file_name: THESIS_FINAL_FArslan_pdfa.pdf file_size: 14581024 relation: main_file success: 1 file_date_updated: 2023-01-25T10:52:46Z has_accepted_license: '1' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: '113' project: - _id: 260F1432-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '742573' name: Interaction and feedback between cell mechanics and fate specification in vertebrate gastrulation publication_identifier: isbn: - ' 978-3-99078-025-1 ' issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '9350' relation: part_of_dissertation status: public status: public supervisor: - first_name: Carl-Philipp J full_name: Heisenberg, Carl-Philipp J id: 39427864-F248-11E8-B48F-1D18A9856A87 last_name: Heisenberg orcid: 0000-0002-0912-4566 title: Remodeling of E-cadherin-mediated contacts via cortical flows tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: dissertation user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2022' ... --- _id: '11362' abstract: - lang: eng text: "Deep learning has enabled breakthroughs in challenging computing problems and has emerged as the standard problem-solving tool for computer vision and natural language processing tasks.\r\nOne exception to this trend is safety-critical tasks where robustness and resilience requirements contradict the black-box nature of neural networks. \r\nTo deploy deep learning methods for these tasks, it is vital to provide guarantees on neural network agents' safety and robustness criteria. \r\nThis can be achieved by developing formal verification methods to verify the safety and robustness properties of neural networks.\r\n\r\nOur goal is to design, develop and assess safety verification methods for neural networks to improve their reliability and trustworthiness in real-world applications.\r\nThis thesis establishes techniques for the verification of compressed and adversarially trained models as well as the design of novel neural networks for verifiably safe decision-making.\r\n\r\nFirst, we establish the problem of verifying quantized neural networks. Quantization is a technique that trades numerical precision for the computational efficiency of running a neural network and is widely adopted in industry.\r\nWe show that neglecting the reduced precision when verifying a neural network can lead to wrong conclusions about the robustness and safety of the network, highlighting that novel techniques for quantized network verification are necessary. We introduce several bit-exact verification methods explicitly designed for quantized neural networks and experimentally confirm on realistic networks that the network's robustness and other formal properties are affected by the quantization.\r\n\r\nFurthermore, we perform a case study providing evidence that adversarial training, a standard technique for making neural networks more robust, has detrimental effects on the network's performance. This robustness-accuracy tradeoff has been studied before regarding the accuracy obtained on classification datasets where each data point is independent of all other data points. On the other hand, we investigate the tradeoff empirically in robot learning settings where a both, a high accuracy and a high robustness, are desirable.\r\nOur results suggest that the negative side-effects of adversarial training outweigh its robustness benefits in practice.\r\n\r\nFinally, we consider the problem of verifying safety when running a Bayesian neural network policy in a feedback loop with systems over the infinite time horizon. Bayesian neural networks are probabilistic models for learning uncertainties in the data and are therefore often used on robotic and healthcare applications where data is inherently stochastic.\r\nWe introduce a method for recalibrating Bayesian neural networks so that they yield probability distributions over safe decisions only.\r\nOur method learns a safety certificate that guarantees safety over the infinite time horizon to determine which decisions are safe in every possible state of the system.\r\nWe demonstrate the effectiveness of our approach on a series of reinforcement learning benchmarks." alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Mathias full_name: Lechner, Mathias id: 3DC22916-F248-11E8-B48F-1D18A9856A87 last_name: Lechner citation: ama: Lechner M. Learning verifiable representations. 2022. doi:10.15479/at:ista:11362 apa: Lechner, M. (2022). Learning verifiable representations. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:11362 chicago: Lechner, Mathias. “Learning Verifiable Representations.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:11362. ieee: M. Lechner, “Learning verifiable representations,” Institute of Science and Technology Austria, 2022. ista: Lechner M. 2022. Learning verifiable representations. Institute of Science and Technology Austria. mla: Lechner, Mathias. Learning Verifiable Representations. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:11362. short: M. Lechner, Learning Verifiable Representations, Institute of Science and Technology Austria, 2022. date_created: 2022-05-12T07:14:01Z date_published: 2022-05-12T00:00:00Z date_updated: 2023-08-17T06:58:38Z day: '12' ddc: - '004' degree_awarded: PhD department: - _id: GradSch - _id: ToHe doi: 10.15479/at:ista:11362 ec_funded: 1 file: - access_level: closed checksum: 8eefa9c7c10ca7e1a2ccdd731962a645 content_type: application/zip creator: mlechner date_created: 2022-05-13T12:33:26Z date_updated: 2022-05-13T12:49:00Z file_id: '11378' file_name: src.zip file_size: 13210143 relation: source_file - access_level: open_access checksum: 1b9e1e5a9a83ed9d89dad2f5133dc026 content_type: application/pdf creator: mlechner date_created: 2022-05-16T08:02:28Z date_updated: 2022-05-17T15:19:39Z file_id: '11382' file_name: thesis_main-a2.pdf file_size: 2732536 relation: main_file file_date_updated: 2022-05-17T15:19:39Z has_accepted_license: '1' keyword: - neural networks - verification - machine learning language: - iso: eng license: https://creativecommons.org/licenses/by-nd/4.0/ month: '05' oa: 1 oa_version: Published Version page: '124' project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 62781420-2b32-11ec-9570-8d9b63373d4d call_identifier: H2020 grant_number: '101020093' name: Vigilant Algorithmic Monitoring of Software publication_identifier: isbn: - 978-3-99078-017-6 publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '10665' relation: part_of_dissertation status: public - id: '10667' relation: part_of_dissertation status: public - id: '11366' relation: part_of_dissertation status: public - id: '7808' relation: part_of_dissertation status: public - id: '10666' relation: part_of_dissertation status: public status: public supervisor: - first_name: Thomas A full_name: Henzinger, Thomas A id: 40876CD8-F248-11E8-B48F-1D18A9856A87 last_name: Henzinger orcid: 0000-0002-2985-7724 title: Learning verifiable representations tmp: image: /image/cc_by_nd.png legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) short: CC BY-ND (4.0) type: dissertation user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2022' ...