Gaussian Graphical Models: An Algebraic and Geometric Perspective. Caroline Uhler. Gaussian graphical models are used throughout the natural sciences, social sciences, and economics to model the statistical relationships between variables of interest in the form of a graph. We here provide a pedagogic introduction to Gaussian graphical …Ram. 24, 1443 AH ... Cite This. PDF. Caroline Uhler ; G. V. Shivashankar. All Authors. Sign In or Purchase. to View Full Text. 2. Cites in. Papers. 1091. Full. Text ...Caroline Uhler describes how these two fields are coming together — and how today's biological questions are motivating new developments in machine learning to ...About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...Meek Separators and Their Applications in Targeted Causal Discovery. Kirankumar Shiragur, Jiaqi Zhang, Caroline Uhler. Learning causal structures from interventional data is a fundamental problem with broad applications across various fields. While many previous works have focused on recovering the entire causal graph, in …Caroline Uhler joined the MIT faculty in 2015 as the Henry L. and Grace Doherty assistant professor in the Department of Electrical Engineering and Computer Science and the …Memorization in Overparameterized Autoencoders Adityanarayanan Radhakrishnan Karren Yang Mikhail Belkin y Caroline Uhler September 5, 2019 AbstractStefanie Jegelka (and Caroline Uhler) 3 / 10. Predicting a son’s height from the father’s height fathers: x ˇ68in, s x = 2:7in sons: y ˇ69in, s y = 2:7in r ˇ0:5 Suggestion: The sons’ average is 1 inch more than the fathers’ average. So, if the father’s height is 64 inches,Caroline Uhler, in the Department of Electrical Engineering and Computer Science and the Institute for Data, Systems, and Society, focuses her research at the intersection of …I’m a fourth year Ph.D. student in MIT EECS, advised by Caroline Uhler. My research focuses on establishing statistical and algorithmic foundations for decision-making within systems created by underlying causal rules. In particular, I develop tools to understand causal relationships using data, extrapolate to predict the effects of unseen ... Tissue development and disease lead to changes in cellular organization, nuclear morphology, and gene expression, which can be jointly measured by spatial transcriptomic technologies. However, methods for jointly analyzing the …Caroline Uhler Nature Communications 14, Article number: 2436 ( 2023 ) Cite this article 6130 Accesses 1 Citations 25 Altmetric Metrics Abstract A fundamental …Caroline Uhler Caroline Uhler [ Abstract ] Abstract: Invited talk from Caroline Uhler. Title: Optimal Design of Interventions for Causal Discovery in Genomics. Chat is not available. Successful Page Load. ICML uses cookies to remember that you are logged in. By using our websites, you agree to the placement of cookies. ...By Caroline Uhler, Garvesh Raskutti, Peter Bыhlmann and Bin Yu. 1ST Austria ... E-mail: [email protected] USA. E-mail: [email protected]. P. BOhlmann ...The Caroline Kennedy infidelity scandal was a reported affair between Caroline Kennedy, U.S. ambassador to Japan and daughter of President John F. Kennedy, and New York Times publi...May 28, 2022 · A fundamental challenge in diagnostics is integrating multiple modalities to develop a joint characterization of physiological state. Using the heart as a model system, we develop a cross-modal autoencoder framework for integrating distinct data modalities and constructing a holistic representation of cardio-vascular state. In particular, we use our framework to construct such cross-modal ... Stefanie Jegelka (and Caroline Uhler) 3 / 10. Predicting a son’s height from the father’s height fathers: x ˇ68in, s x = 2:7in sons: y ˇ69in, s y = 2:7in r ˇ0:5 Suggestion: The sons’ average is 1 inch more than the fathers’ average. So, if the father’s height is 64 inches,Memorization in Overparameterized Autoencoders Adityanarayanan Radhakrishnan Karren Yang Mikhail Belkin y Caroline Uhler September 5, 2019 AbstractFrom causal inference to autoencoders and gene regulation by Caroline Uhler#. Posted on 2019-11-16. Disclaimer: These notes are based on my frantic ...Chandler Squires, Caroline Uhler. June 2022 PDF Cite Abstract. In this review, we discuss approaches for learning causal structure from data, also called causal discovery. In particular, we focus on approaches for learning directed acyclic graphs (DAGs) and various generalizations which allow for some variables to be unobserved in the available ...The repository contains the code for the InfoCORE method presented in the paper Removing Biases from Molecular Representations via Information Maximization, Chenyu Wang, Sharut Gupta, Caroline Uhler, Tommi Jaakkola (2023). If you have any question, feel free to open an issue or reach out via email: [email protected]. Sep 30, 2023 · Keynote talk 3: Caroline Uhler. Causal Representation Learning & Optimal Intervention Design. (session chair: Daniel Malinsky) %0 Conference Paper %T Learning High-dimensional Gaussian Graphical Models under Total Positivity without Adjustment of Tuning Parameters %A Yuhao Wang %A Uma Roy %A Caroline Uhler %B Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics %C Proceedings of Machine Learning Research %D …Caption: Researchers from MIT and Harvard University developed a new, computational approach that can efficiently identify optimal genetic perturbations based on a much smaller number of experiments than traditional methods. Caroline Uhler, a professor in the Department of Electrical Engineering and Computer Science (EECS), is co-senior …Caroline Uhler, an associate professor of electrical engineering and computer science, has been granted tenure, the EECS department has announced. Uhler, who is also a faculty member in the Laboratory for Information and Decision Sciences (LIDS) and a core faculty member of the Institute for Data Systems and Society (IDSS), came to …It is proved that this new score-based method is consistent under strictly weaker conditions than the faithfulness assumption, and it is shown that in the oracle setting, where the true covariance matrix is known, the SP algorithm is in fact equivalent to $\\ell_0$-penalized maximum likelihood estimation. We consider the problem of learning a …Authors. Yuhao Wang, Chandler Squires, Anastasiya Belyaeva, Caroline Uhler. Abstract. We consider the problem of estimating the differences between two ...Promoting openness in scientific communication and the peer-review processFrom: Caroline Uhler Sun, 24 Aug 2014 13:41:40 UTC (976 KB) [v2] Sat, 16 Apr 2016 22:10:38 UTC (1,018 KB) Full-text links: Access Paper: Download a PDF of the paper titled Maximum Likelihood Estimation for Linear Gaussian Covariance Models, by Piotr Zwiernik and 1 other authors. Download PDF ...%0 Conference Paper %T Ordering-Based Causal Structure Learning in the Presence of Latent Variables %A Daniel Bernstein %A Basil Saeed %A Chandler Squires %A Caroline Uhler %B Proceedings of the Twenty Third International Conference on Artificial Intelligence and Statistics %C Proceedings of Machine Learning Research %D 2020 %E Silvia …Caroline Uhler is an associate professor of electrical engineering and computer science at MIT who is supported by J-WAFS. Caption: David Des Marais (left), an MIT assistant professor of civil and environmental engineering who is supported by J-WAFS, harvests leaf tissue for metabolic analysis while graduate student Jie Yun (right) …Dr. Caroline Uhler @CarolineUhler. HENRY L. AND GRACE DOHERTY ASSOCIATE PROFESSOR at MIT. Co-Director of ERIC AND WENDY SCHMIDT CENTER at the BROAD INSTITUTE OF MIT AND HARVARD. Joined September 2021. 2 Following. 153 Followers. Tweets. Tweets & replies. Media. Likes. Dr. Caroline Uhler’s Tweets.Jul 13, 2017 · Gaussian Graphical Models: An Algebraic and Geometric Perspective. Caroline Uhler. Gaussian graphical models are used throughout the natural sciences, social sciences, and economics to model the statistical relationships between variables of interest in the form of a graph. We here provide a pedagogic introduction to Gaussian graphical models ... Caroline Uhler 1 , G V Shivashankar 2 3 Affiliations 1 Department of Electrical Engineering and Computer Science, Laboratory of Information and Decision Systems, Institute for Data, Systems and Society, Massachusetts Institute of Technology (MIT), Cambridge, Massachusetts 02139, USA. It is proved that this new score-based method is consistent under strictly weaker conditions than the faithfulness assumption, and it is shown that in the oracle setting, where the true covariance matrix is known, the SP algorithm is in fact equivalent to $\\ell_0$-penalized maximum likelihood estimation. We consider the problem of learning a …Biomedical Science and machine learning: A two-way streetCaroline Uhler Biomedical science and data analysis technologies have both experienced revolutions in the 21st century. Caroline Uhler describes how these two fields are coming together — and how today’s biological questions are motivating new developments in machine learning to …Caroline Uhler Professor, Massachusetts Institute of Technology (MIT), and Core Faculty, Broad Institute Cambridge, Massachusetts, United States We are thrilled to share that LIDS Prof. Caroline Uhler has been promoted to Associate Professor without Tenure in the EECS department, effective July 1, 2018. From the EECS announcement: Caroline Uhler received a PhD in Statistics from the University of California Berkeley in 2011. After serving as an assistant professor at IST Austria, she …I am a final year PhD student in EECS at MIT. I am currently applying for faculty positions in Statistics and Computer Science (as of Fall 2023). I am extremely fortunate to be advised by Caroline Uhler and David Sontag.. Ny research focuses on building the statistical and computational foundations for AI-driven decision-making in scientific applications, and I …The Department of Electrical Engineering and Computer Science (EECS) is proud to announce that Caroline Uhler, Professor of EECS and in the Institute for Data, Systems and Society (IDSS), has been named a Fellow of the Society for Industrial and Applied Mathematics (SIAM), Class of 2023. In the award announcement, SIAM noted that Uhler …Caroline Uhler joined the MIT faculty in October 2015 as an assistant professor in the Department of Electrical Engineering and Computer Science. She was awarded the 2015 Doherty Professorship in Ocean Utilization in November 2015. She joined the Institute for Data, Systems, and Society (IDSS) — which addresses complex societal …Sep 15, 2021 · Ben Glocker (an expert in machine learning for medical imaging, Imperial College London), Mirco Musolesi (a data science and digital health expert, University College London), Jonathan Richens (an expert in diagnostic machine learning models, Babylon Health) and Caroline Uhler (a computational biology expert, MIT) talked to Nature Communications about their research interests in causality ... Multi-domain translation between single-cell imaging and sequencing data using autoencoders Karren Dai Yang*, Anastasiya Belyaeva*, Saradha Venkatachalapathy, Karthik Damodaran, Abigail Katcoff, Adityanarayanan Radhakrishnan, G. V. Shivashankar, Caroline Uhler Nature Communications 12, 31 (2021) . We propose a framework for …Jan 15, 2020 · We are very happy to share that LIDS faculty member Caroline Uhler has been granted tenure by the Department of Electrical Engineering and Computer Science (EECS). Caroline joined MIT and LIDS in 2015 as an Assistant Professor of EECS and core faculty member of the Institute for Data Systems and Society (IDSS). “Caroline’s warmth, energy, and exceptional intellectual achievements have made ... Caroline Uhler 1 , G V Shivashankar 2 3 Affiliations 1 Department of Biosystems Science & Engineering (D-BSSE), ETH Zurich, Switzerland. 2 Department of Health Sciences & Technology (D-HEST), ETH Zurich, Switzerland. [email protected]. 3 Paul Scherrer Institute, Villigen, Switzerland ...From causal inference to autoencoders and gene regulation by Caroline Uhler#. Posted on 2019-11-16. Disclaimer: These notes are based on my frantic ...Caroline Uhler (PI) is an associate professor in the Department of Electrical Engineering and Computer Science and the Institute for Data, Systems, and Society at MIT. She …Caroline Uhler, an associate professor of electrical engineering and computer science, has been granted tenure, the EECS department has announced. Uhler, who is also a faculty member in the Laboratory for Information and Decision Sciences (LIDS) and a core faculty member of the Institute for Data Systems and Society (IDSS), came to …Jul 7, 2020 · "Causal inference in the light of drug repurposing for COVID-19"Caroline Uhler, MITAbstract: Massive data collection holds the promise of a better understand... Panellists: Elizabeth Ogburn, Thomas Richardson, Eric Tchetgen Tchetgen, Caroline Uhler ... 8. Causal Imputation via Synthetic Interventions; by Chandler Squires, ...Rab. I 29, 1441 AH ... ... Caroline Uhler of the Massachusetts Institute of Technology, was held on 2-4 October, 2019 at the Shaw Foundation Alumni House, National ...Daniel Irving Bernstein, Basil Saeed, Chandler Squires, Caroline Uhler: Ordering-Based Causal Structure Learning in the Presence of Latent Variables. CoRR abs/1910.09014 (2019) 2018 [c1] view. electronic edition @ neurips.cc (open access) electronic edition @ nips.cc (open access) no references & citations available .Caroline Uhler 1 , G V Shivashankar 2 3 Affiliations 1 Department of Biosystems Science & Engineering (D-BSSE), ETH Zurich, Switzerland. 2 Department of Health Sciences & Technology (D-HEST), ETH Zurich, Switzerland. [email protected]. 3 Paul Scherrer Institute, Villigen, Switzerland ...Caroline Uhler, an associate professor of electrical engineering and computer science, has been granted tenure, the EECS department has announced. Uhler, who is also a faculty member in the Laboratory for Information and Decision Sciences (LIDS) and a core faculty member of the Institute for Data Systems and Society (IDSS), came to …Jum. II 4, 1441 AH ... From causal inference to autoencoders, memorization & gene regulation - Caroline Uhler, MIT. 2.5K views · 4 years ago ...more. The Alan Turing ...I am a final year PhD student in EECS at MIT. I am currently applying for faculty positions in Statistics and Computer Science (as of Fall 2023). I am extremely fortunate to be advised by Caroline Uhler and David Sontag.. Ny research focuses on building the statistical and computational foundations for AI-driven decision-making in scientific applications, and I …Caroline Uhler FULL PROFESSOR Department of Electrical Engineering and Computer Science and Institute for Data, Systems, and Society Core faculty and Director of the Eric …08/2008 Seminar, Department of Biosystems, Science and Engineering (ETH Zurich) 07/2008 Seminar on Model Selection (Technische Universität Berlin) Caroline Uhler is an assistant professor in EECS and IDSS at MIT. Her research focuses on graphical models, causal inference, and applications to biology.A Mechanism for Producing Aligned Latent Spaces with Autoencoders. Saachi Jain, Adityanarayanan Radhakrishnan, Caroline Uhler. Aligned latent spaces, where meaningful semantic shifts in the input space correspond to a translation in the embedding space, play an important role in the success of downstream tasks such as unsupervised …Professor Electrical Engineering and Computer Science Caroline Uhler is a Professor at MIT. After completing a master’s degree in mathematics and a bachelor’s degree in biology at the University of Zurich, Prof. Uhler …Caroline Uhler Nature Communications 14, Article number: 2436 ( 2023 ) Cite this article 6130 Accesses 1 Citations 25 Altmetric Metrics Abstract A fundamental …A hands-on introduction to the interplay between statistics and computation for the analysis of real data. -- Part of the MITx MicroMasters program in Statistics and Data Science. Data science requires multi-disciplinary skills ranging from mathematics, statistics, machine learning, problem solving to programming, visualization, and communication …Caroline Uhler is a core institute member of the Broad Institute of MIT and Harvard, where she directs the Eric and Wendy Schmidt Center. She is also a full professor in the Department of Electrical Engineering and …Caroline Uhler is a core institute member of the Broad Institute of MIT and Harvard, where she directs the Eric and Wendy Schmidt Center. She is also a full professor in the Department of Electrical Engineering and Computer Science and the Institute for Data, Systems, and Society at MIT. We are very happy to share that LIDS faculty member Caroline Uhler has been granted tenure by the Department of Electrical Engineering and Computer Science (EECS). Caroline joined MIT and LIDS in 2015 as an Assistant Professor of EECS and core faculty member of the Institute for Data Systems and Society (IDSS). “Caroline’s …About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...Caroline Uhler is a core institute member of the Broad Institute of MIT and Harvard, where she directs the Eric and Wendy Schmidt Center.She is also a professor in MIT’s Department of Electrical Engineering and Computer Science and the Institute for Data, Systems, and Society. Caroline is recognized as a creative and innovative researcher and teacher at …Rab. I 13, 1445 AH ... History of Investigator: Caroline Uhler (Principal Investigator) [email protected] ; Recipient Sponsored Research Office: Massachusetts Institute of ...Abstract. The development of single-cell methods for capturing different data modalities including imaging and sequencing has revolutionized our ability to identify heterogeneous cell states. Different data modalities provide different perspectives on a population of cells, and their integration is critical for studying cellular heterogeneity ...A fundamental challenge in diagnostics is integrating multiple modalities to develop a joint characterization of physiological state. Using the heart as a model system, we develop a cross-modal autoencoder framework for integrating distinct data modalities and constructing a holistic representation of cardio-vascular state. In particular, we use …We are very happy to share that LIDS faculty member Caroline Uhler has been granted tenure by the Department of Electrical Engineering and Computer Science (EECS). Caroline joined MIT and LIDS in 2015 as an Assistant Professor of EECS and core faculty member of the Institute for Data Systems and Society (IDSS). “Caroline’s …Ram. 24, 1443 AH ... Cite This. PDF. Caroline Uhler ; G. V. Shivashankar. All Authors. Sign In or Purchase. to View Full Text. 2. Cites in. Papers. 1091. Full. Text ...Caroline Uhler. A dissertation submitted in partial satisfaction of the ... Caroline Uhler. Doctor of Philosophy in Statistics. University of California ...It is proved that this new score-based method is consistent under strictly weaker conditions than the faithfulness assumption, and it is shown that in the oracle setting, where the true covariance matrix is known, the SP algorithm is in fact equivalent to $\\ell_0$-penalized maximum likelihood estimation. We consider the problem of learning a …Sha. 21, 1436 AH ... IST Professor Caroline Uhler is one of this year's START Award recipients. Around € 1 Mio are allocated for the duration of six years.Dr. Caroline Uhler gives an AI seminar at UBC; hosted by UBC CAIDA.Causality and Autoencoders in the Light of Drug Repurposing for COVID-19 - Caroline Uhler,...Consistency guarantees for greedy permutation-based causal inference algorithms Liam Solus, Y. Wang and Caroline Uhler Biometrika 108.4 (2021): 795-814. High-dimensional joint estimation of multiple directed Gaussian graphical models Y. Wang, Santiago Segarra and Caroline Uhler Electronic Journal of Statistics 14.1 (2020): 2439-2483.Authors. Caroline Uhler , G V Shivashankar. Affiliations. 1 Department of Electrical Engineering and Computer Science, Laboratory of Information and ...Adityanarayanan Radhakrishnan & Caroline Uhler Broad Institute of MIT and Harvard, Cambridge, USA Sam F. Friedman, Shaan Khurshid, Puneet Batra, Steven A. Lubitz, Anthony A. Philippakis & Caroline ...Panellists: Elizabeth Ogburn, Thomas Richardson, Eric Tchetgen Tchetgen, Caroline Uhler ... 8. Causal Imputation via Synthetic Interventions; by Chandler Squires, ...A Mechanism for Producing Aligned Latent Spaces with Autoencoders. Saachi Jain, Adityanarayanan Radhakrishnan, Caroline Uhler. Aligned latent spaces, where meaningful semantic shifts in the input space correspond to a translation in the embedding space, play an important role in the success of downstream tasks such as unsupervised …Caroline Uhler 1 , G V Shivashankar 2 3 Affiliations 1 Department of Biosystems Science & Engineering (D-BSSE), ETH Zurich, Switzerland. 2 Department of Health Sciences & Technology (D-HEST), ETH Zurich, Switzerland. [email protected]. 3 Paul Scherrer Institute, Villigen, Switzerland ...ORCID Caroline Uhler is a researcher in mathematics, statistics, and biology. She has an ORCID identifier 0000-0002-7008-0216 that links to her publications, affiliations, and grants. Visit her ORCID profile to learn more about her work and collaborations.Caroline Uhler Nature Communications 12, Article number: 31 ( 2021 ) Cite this article 27k Accesses 35 Citations 67 Altmetric Metrics Abstract The development of …Panellists: Elizabeth Ogburn, Thomas Richardson, Eric Tchetgen Tchetgen, Caroline Uhler ... 8. Causal Imputation via Synthetic Interventions; by Chandler Squires, ...The Broad Institute of MIT and Harvard has named Caroline Uhler as a core institute member. Uhler currently co-directs, along with Anthony Philippakis, the Eric and Wendy Schmidt Center, which partners with the Broad community as well as the broader scientific ecosystem to bridge machine learning and biology. “Caroline is a …Caroline Uhler is a full professor in the Department of Electrical Engineering and Computer Science and the Institute for Data, Systems, and Society at MIT. In ...Building a two-way street between cell biology and machine learning. Caroline Uhler. Nature Cell Biology 26 , 13–14 ( 2024) Cite this article. 973 Accesses. 3 Altmetric. Metrics. With biomedical ...
Caroline Uhler joined the MIT faculty in 2015 as the Henry L. and Grace Doherty assistant professor in the Department of Electrical Engineering and Computer Science and the Institute for Data, Systems, and Society. She holds an MSc in mathematics, a BSc in biology, and an MEd in high school mathematics education from the University of Zurich. . Lyrics tomorrow from annie
Caroline Uhler is a professor in MIT’s Department of Electrical Engineering and Computer Science and an investigator in the Institute for Data, Systems, and Society. She is also co-director of The Eric and Wendy Schmidt Centre at the Broad Institute. Caroline Uhler 1 , G V Shivashankar 2 3 Affiliations 1 Department of Electrical Engineering and Computer Science, Laboratory of Information and Decision Systems, Institute for Data, Systems and Society, Massachusetts Institute of Technology (MIT), Cambridge, Massachusetts 02139, USA.Oct 2, 2023 · A careful causal framework for sequential experimentation may allow identifying optimal interventions with fewer trials, thereby reducing experimental costs,” says co-senior author Caroline Uhler, a professor in the Department of Electrical Engineering and Computer Science (EECS) who is also co-director of the Eric and Wendy Schmidt Center at ... Caroline Uhler is a full professor in the Department of Electrical Engineering and Computer Science and the Institute for Data, Systems, and Society at MIT. In addition, she is a …Caroline Uhler Professor, Massachusetts Institute of Technology (MIT), and Core Faculty, Broad Institute Cambridge, Massachusetts, United States Jum. I 10, 1443 AH ... An interdisciplinary researcher at the intersection of machine learning, statistics, and biology, Uhler develops methods to extract ...Mar 24, 2016 · Caroline Uhler joined the MIT faculty in October 2015 as an assistant professor in the Department of Electrical Engineering and Computer Science. She was awarded the 2015 Doherty Professorship in Ocean Utilization in November 2015. She joined the Institute for Data, Systems, and Society (IDSS) — which addresses complex societal challenges by ... It is proved that this new score-based method is consistent under strictly weaker conditions than the faithfulness assumption, and it is shown that in the oracle setting, where the true covariance matrix is known, the SP algorithm is in fact equivalent to $\\ell_0$-penalized maximum likelihood estimation. We consider the problem of learning a …Maximum likelihood estimation in Gaussian models under total positivity. Steffen Lauritzen, Caroline Uhler, Piotr Zwiernik. We analyze the problem of maximum likelihood estimation for Gaussian distributions that are multivariate totally positive of order two (MTP2). By exploiting connections to phylogenetics and single-linkage …Jum. I 24, 1445 AH ... Cammarata, Caroline Uhler, G. V. Shivashankar. doi: https://doi.org/10.1101/2023.12.07.570697. This article is a preprint and has not been ...Seven MIT researchers from four departments are among the 126 American and Canadian researchers awarded 2017 Sloan Research Fellowships, the Alfred P. Sloan Foundation announced today.. New MIT-affiliated Sloan Research Fellows are: Mohammad Alizadeh, the TIBCO Career Development Assistant Professor in Electrical Engineering …Chandler Squires, Annie Yun, Eshaan Nichani, Raj Agrawal, Caroline Uhler. April, 2022 PDF Cite Abstract. We consider the problem of learning the structure of a causal directed acyclic graph (DAG) model in the presence of latent variables. We define “latent factor causal models” (LFCMs) as a restriction on causal DAG models with latent ...Caroline Uhler. Massachusetts Institute of Technology. Verified email at mit.edu - Homepage. ... C Uhler, P Koumoutsakos. Nature Machine Intelligence 4 (4), 359-366, …Panellists: Elizabeth Ogburn, Thomas Richardson, Eric Tchetgen Tchetgen, Caroline Uhler ... 8. Causal Imputation via Synthetic Interventions; by Chandler Squires, ...Caroline Uhler. We study maximum likelihood estimation in Gaussian graphical models from a geometric point of view. An algebraic elimination criterion allows us to find exact lower bounds on the number of observations needed to ensure that the maximum likelihood estimator (MLE) exists with probability one. This is applied to ….