Optimal estimation (Remote sensing 🛰️)
In applied statistics, optimal estimation is a regularized matrix inverse method based on Bayes' theorem. It is used very commonly in the geosciences, particularly for atmospheric sounding. A matrix inverse problem looks like this: A x → = y → {\displaystyle \mathbf {A} {\vec {x}}={\vec {y}}} The essential concept is to transform the matrix, A, into a c...
Did you know a CT scan uses math to create images from X-ray data? 🤔 Prof. Martin Burger and Samira Kabri from our Research Unit at @DESYnews shared how #inverseproblems turn data into images during "Wir wollen’s wissen" at Hamburg schools. Inspiring future scientists! 💡
We have a new preprint out on EarthArXiv which introduces Euler inversion, a new method for finding the location and approximate geometry of sources of gravity and magnetic anomalies.
Big thank you to my co-authors Gelson F. Souza-Junior, India Uppal, and Vanderlei C. Oliveira Jr.!
Read more about it: https://www.compgeolab.org/news/euler-inversion-preprint.html
#Geophysics #EarthSciences #Gravity #Magnetics #InverseProblems
Morgen zu Gast um 16:15 im Sitzungszimmer des Mathematischen Instituts fĂĽr das #RTG2491Kolloquium :
Angkana Rüland von der Universität Bonn mit
"On (In-)Stability Mechanisms in Inverse Problems"
In #Bucharest to talk about #RadiativeTransferSimulations and #InverseProblems
🔊 Join us for the "#DeepLearning in #InverseProblems" Workshop on 23-24/9/24 at @DESYnews!
Explore the latest in learning-based methods for inverse problems with top experts.
Register by 15/9 👉 http://indico.desy.de/event/45763/
Don't miss out on this opportunity to expand your skills!
AI Lecture on 11 March 2024, 18:15—19:45 with Prof. Dr. Jong Chul Ye from KAIST, exploring advancements in solving inverse problems with diffusion models, including 3D extensions and guidance by text prompts. Location: Theresienstraße 39, Room B 006. Open to the public. #AI #DiffusionModels #InverseProblems
https://www.ai-news.lmu.de/guestlecture/
Today @JulianTachella, Matthieu Terris, Dongdon Chen, and Samuel Hurault gave an introduction to Deepinverse library at #DIPOpt workshop.
#inverseproblems #ComputationalImaging #deeplearning
Highlights of poster presentation session, second day of #DIPOpt workshop.
1) Continuous Lippmann-Schwinger Intensity Diffraction Tomography, by Olivier Leblanc, @kmlv, and @lowrankjack.
2) Deepinverse Python Library, by Julian Tachella, Dongdong Chen, Samuel Hurault and Matthieu Terris.
#inverseproblems, #computationalimaging
The last talk of the second day of #DIPOpt, by Remi Grinonval, “Rapture of the deep: highs and lows of sparsity in a world of depths”.
#Sparsity #inverseproblems
Next speaker is Mike Davies talking about “Unsupervised Machine Imaging: when is data driven knowledge discovery really possible?”
#DIPOpt #inverseproblems #machinelearning #ComputationalImaging #CompressedSensing
An excellent talk by Dirk Lorenz, “Learning regularisers - bilevel optimisation or unrolling?” at #DIPOpt workshop, #Lyon.
#inverseproblems #optimisation #regularisation
Given a decimal number, are there tools [1] to give suggestions like "oh, that looks like sqrt(2)/2"? I'm imagining something like OEIS for decimal numbers, but maybe that's the wrong way to frame the question. #maths #DecimalApproximations #InverseProblems
[1] Ideally that I can run on my own computer.
from the standpoint of model selection, parsimony often boils down to dimensionality reduction
#modelSelection #parsimony #OccamsRazor #dimensionalityReduction #degreesOfFreedom #complexity #informationTheory #biasVarianceTradeoff #overfitting #underfitting #optimization #parameterTuning #crossValidation #inverseProblems #inference #statisticalLearning #machineLearning #ML #dataScience #modeling #decisionTheory #fitting #regression #classification #residualError #costFunction #performanceLoss
"A Targeted Sampling Strategy for Compressive Cryo FIB Scanning Electron Microscopy"
Joint work with D. Nicholls, J. Wells, A. Robinson, M. Kobylynska, R. Fleck, A. Kirkland, N. Browning
Rosalind Franklin Institute, University of Liverpool, and King's College London
https://arxiv.org/pdf/2211.03494.pdf
#CryoEM #ICASSP2023 #ComputationalImaging #InverseProblems #ElectronMicroscopy
đź“Ł Olivier Leblanc, who carries out a PhD thesis with me, got the best contribution award at https://baspfrontiers.org for his work entitled "Interferometric Lensless Imaging - Rank-one Projections of Image Frequencies with Speckle Illuminations." ! đź‘Źđź‘Ź #inverseproblems #speckleimaging #ComputationalSensing
Today I attended an excellent seminar by Yunan Yang (ETH ZĂĽrich) titled "Optimal transport for learning chaotic dynamics via invariant measures" in the #NumericalAnalysis and #ScientificComputing series in Manchester.
Many interesting ideas and a lot to unpack, so I can't do it justice, but here is a summary.
#OptimalTransport #DynamicalSystems #ParameterIdentification #InverseProblems
Here's the first one #arxivfeed:
"Detecting Model Misspecification in Amortized Bayesian Inference with Neural Networks"
https://arxiv.org/abs/2112.08866
