From 6c85be050744765d575cd596b15d72143dcc966e Mon Sep 17 00:00:00 2001 From: Francisco Penedo Date: Mon, 15 Feb 2021 20:54:38 +0100 Subject: [PATCH] Added thesis as publication --- content/publication/thesis/cite.bib | 12 ++++ content/publication/thesis/featured.png | Bin 0 -> 81404 bytes content/publication/thesis/index.md | 87 ++++++++++++++++++++++++ content/publication/thesis/thesis.pdf | Bin 0 -> 1320880 bytes 4 files changed, 99 insertions(+) create mode 100644 content/publication/thesis/cite.bib create mode 100644 content/publication/thesis/featured.png create mode 100644 content/publication/thesis/index.md create mode 100644 content/publication/thesis/thesis.pdf diff --git a/content/publication/thesis/cite.bib b/content/publication/thesis/cite.bib new file mode 100644 index 0000000..3344e7d --- /dev/null +++ b/content/publication/thesis/cite.bib @@ -0,0 +1,12 @@ + +@article{penedoalvarezFormalMethodsPartial2020, + title = {Formal Methods for Partial Differential Equations}, + author = {Penedo Alvarez, Francisco}, + year = {2020}, + abstract = {Partial differential equations (PDEs) model nearly all of the physical systems and processes of interest to scientists and engineers. The analysis of PDEs has had a tremendous impact on society by enabling our understanding of thermal, electrical, fluidic and mechanical processes. However, the study of PDEs is often approached with methods that do not allow for rigorous guarantees that a system satisfies complex design objectives. In contrast, formal methods have recently been developed to allow the formal statement of specifications, while also developing analysis techniques that can guarantee their satisfaction by design. In this dissertation new design methodologies are introduced that enable the systematic creation of structures whose mechanical properties, shape and functionality can be time-varying. A formal methods formulation and solution to the tunable fields problem is first introduced, where a prescribed time evolution of the displacement field for different spatial regions of the structure is to be achieved using boundary control inputs. A spatial and temporal logic is defined that allows the specification of interesting properties in a user-friendly fashion and can provide a satisfaction score for the designed inputs. This score is used to formulate an optimization procedure based on Mixed Integer Programming (MIP) to find the best design. In the second part, a sampling based assumption mining algorithm is introduced, which is the first step towards a divide and conquer strategy to solve the tunable fields problem using assume-guarantee contracts. The algorithm produces a temporal logic formula that represents initial conditions and external inputs of a system that satisfy a goal given as a temporal logic formula over its state. An online supervised learning algorithm is presented, based on decision tree learning, that is used to produce a temporal logic formula from assumption samples. The third part focuses on the tunable constitutive properties problem, where the goal is to create structures satisfying a stress-strain response by designing their geometry. The goal is represented as a logic formula that captures the allowed deviation from a reference and provides a satisfaction score. An optimization procedure is used to obtain the best geometric design.}, + annotation = {Accepted: 2020-05-20T12:56:32Z}, + file = {/home/fran/.zotero/zotero/okavn86u.default/zotero/storage/C2PFVIGG/Penedo Alvarez - 2020 - Formal methods for partial differential equations.pdf}, + language = {en\_US} +} + + diff --git a/content/publication/thesis/featured.png b/content/publication/thesis/featured.png new file mode 100644 index 0000000000000000000000000000000000000000..e5458e08f95253c57df78db33be5d84185ced198 GIT binary patch literal 81404 zcmc$`cRZH=8$Nv7w=D_Tm5?2>_a-|T*&}=J>@6fKNwPx{k|diX$zEC6*?VuE^X~io zKF{m<_xI25dc8g)al5Yf`+T40aUREUUeOwA3WRu6cnAc7P)Si%3xPn-hJWah=Z(;ss$==y9cB9zSAmByd^#a2l=$;)adot=Y`aSb~? z7|o*YSFJqstlOQG+aU+~WIyypV zick`HBfPh>1wEcb8hM+6eGC4mf&T6P?jN%ww5Lscm-DZ&={#+n-3+=sJwHDe81J0h zt~;FcTOBUz>FP47@mS6j^Lu1qkk_|l$bany-$P25a4YgvlgoXR#ahDTR!bi5wUH}G z%t5>To%xPd^KC+bSlOGHQZHV- zW5rT%S(WR#RljLA?aji)MECUcbgtijIkm~Gx@LBTze!`h&ow0L3z3 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author_notes: +# - "Equal contribution" +# - "Equal contribution" + +date: "2020-05-19" +doi: "" + +# Schedule page publish date (NOT publication's date). +# publishDate: "2017-01-01T00:00:00Z" + +# Publication type. +# Legend: 0 = Uncategorized; 1 = Conference paper; 2 = Journal article; +# 3 = Preprint / Working Paper; 4 = Report; 5 = Book; 6 = Book section; +# 7 = Thesis; 8 = Patent +publication_types: ["7"] + +# Publication name and optional abbreviated publication name. +publication: "" +publication_short: "" + +abstract: "Partial differential equations (PDEs) model nearly all of the physical systems and processes of interest to scientists and engineers. The +analysis of PDEs has had a tremendous impact on society by enabling our understanding of thermal, electrical, fluidic and mechanical processes. However, the study of PDEs is often approached with methods that do not allow for rigorous guarantees that a system satisfies complex design objectives. In contrast, formal methods have recently been developed to allow the formal statement of specifications, while also developing analysis techniques that can guarantee their satisfaction by design. In this dissertation new design methodologies are introduced that enable the systematic creation of structures whose mechanical properties, shape and functionality can be time-varying.

+ +A formal methods formulation and solution to the tunable fields problem is first introduced, where a prescribed time evolution of the displacement field for different spatial regions of the structure is to be achieved using boundary control inputs. A spatial and temporal logic is defined that allows the specification of interesting properties in a user-friendly fashion and can provide a satisfaction score for the designed inputs. This score is used to formulate an optimization procedure based on Mixed Integer Programming (MIP) to find the best design.

+ +In the second part, a sampling based assumption mining algorithm is introduced, which is the first step towards a divide and +conquer strategy to solve the tunable fields problem using assume-guarantee contracts. The algorithm produces a temporal logic formula that represents initial conditions and external inputs of a system that satisfy a goal given as a temporal logic formula over its state. An online supervised learning algorithm is presented, based on decision tree learning, that is used to produce a temporal logic +formula from assumption samples.

+ +The third part focuses on the tunable constitutive properties problem, where the goal is to create structures satisfying a stress-strain response by designing their geometry. The goal is represented as a logic formula that captures the allowed deviation from a reference and provides a satisfaction score. An optimization procedure is used to obtain the best geometric design." + +# Summary. An optional shortened abstract. +# summary: Lorem ipsum dolor sit amet, consectetur adipiscing elit. Duis posuere tellus ac convallis placerat. Proin tincidunt magna sed ex sollicitudin condimentum. + +tags: [] + +# Display this page in the Featured widget? +featured: true + +# Custom links (uncomment lines below) +links: +- name: BU Library Permanent Link + url: https://hdl.handle.net/2144/41039 + +url_pdf: '' +url_code: '' +url_dataset: '' +url_poster: '' +url_project: '' +url_slides: '' +url_source: '' +url_video: '' + +# Featured image +# To use, add an image named `featured.jpg/png` to your page's folder. +image: + caption: "" + focal_point: "" + preview_only: false + +# Associated Projects (optional). +# Associate this publication with one or more of your projects. +# Simply enter your project's folder or file name without extension. +# E.g. `internal-project` references `content/project/internal-project/index.md`. +# Otherwise, set `projects: []`. +projects: +- formal-pde +- templogic +- agmilp + +# Slides (optional). +# Associate this publication with Markdown slides. +# Simply enter your slide deck's filename without extension. +# E.g. `slides: "example"` references `content/slides/example/index.md`. +# Otherwise, set `slides: ""`. +slides: "" +--- diff --git a/content/publication/thesis/thesis.pdf b/content/publication/thesis/thesis.pdf new file mode 100644 index 0000000000000000000000000000000000000000..2db8d17b72e339cab69312a92a0a0470d49eda8c GIT binary patch literal 1320880 zcmce;Rd8fWvLz~JW~s!?m||w;5;HS1Gcz-*#LOjTW-du3W@d(0XQum2+w?KJJsB01; z$Dj7UKL7MkGI6qVaWpbCdl*_@DxmGB?0KciS!JDWHXGKg6lIGc!= z7}*({!0_?GI5|6-7}&tLuPq=>D^N~vg8)H(0AItH*c$(%<B5f?RAZAqm(3dKBlm&mRO94iawm>J;ML}yQC}+X&;EUJqq>rV7jpoLIVj)^n`Fq zBq9uO@I*)wDkekZnt;XZ;sQd2RbwmzOnaE*!EpW`2E~-KxMD=ZK>E)MiXxjs5`0R% zECEE|%0`Ty%6N$ox`S9d;e@-HfNNqbt8LM`pa?@ALU>AYVP=pb0}_%1@+4z`Sox^1 zW6(KvtZ|@FEb3w|JRK)w8!mtCnJym(A6fj@PO*44=t^*}pe;3;KDek-!62C4_wZQ`4n^cU zZD7ts-$Df}`J8KXn0Kk*2w-NY`RqGnNZ~aO8R2uwa@PFB5P>qA&R9_&Om- zj5i~20|p0Lw#73lq=jaf0EE>VWS*FhqG(%3hgRXf5bU8|2APt@^&Xi+FN+@ha^3x( zUrA3q93PrLt)&Re*y!+B^QMO9=8m^3M)x8r{XOhi`HJL8Xg}ZIpO!o@s|d<}jHvU& 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