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url: /research/
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- title: AI4Science+Math
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url: /ml/
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<h1>Robert Joseph</h1>

<img align="left" width="193" height="225" src="https://www.robertj1.com/assets/img/robertpic.jpeg" vspace="0" hspace="0"/>
<img align="left" width="193" height="225" src="https://www.robertj1.com/assets/img/robert.jpg" vspace="0" hspace="0"/>
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&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Ph.D. Math & CS, <a href ="https://cms.caltech.edu/academics/grad_cms"> California Institute of Technology </a> (Sep 2023 - Present)
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Ph.D. Math & CS, <a href ="https://cms.caltech.edu/academics/grad_cms"> California Institute of Technology </a> (Sep 2023 - Present)
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&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; B.Sc Honors Math & CS, First Class, <a href = "https://www.ualberta.ca/index.html"> University of Alberta </a> (Sep 2019 - May 2023)
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; B.Sc Honors Math & CS, First Class, <a href = "https://www.ualberta.ca/index.html"> University of Alberta </a> (Sep 2019 - May 2023)
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<p style="text-align:justify; hyphens: auto;" hspace="30">
I am a Ph.D. student in Mathematics and Computer Science at Caltech under Professor <a href = "http://tensorlab.cms.caltech.edu/users/anima/">Animashree Anandkumar (Nvidia)</a>. I work in the Artificial Intelligence and Machine Learning Group <a href="https://www.cms.caltech.edu/research/artificial-intelligence-and-machine-learning">(AI4Science)</a> group. I graduated with the Dean's Silver Medal in Science from the University of Alberta with a degree in Honors Mathematics and Computer Science. My research interests include Deep Learning, Neural Operators, AI4Science, AI4Math, LLM Reasoning and Optimization and Efficient training of foundational models.
I am a 2nd year Ph.D. student in Math & Computer Science at Caltech under Professor <a href = "http://tensorlab.cms.caltech.edu/users/anima/">Animashree Anandkumar (Nvidia)</a>. I work in the Artificial Intelligence and Machine Learning Group <a href="https://www.cms.caltech.edu/research/artificial-intelligence-and-machine-learning">(AI4Science)</a> group. I graduated with the Dean's Silver Medal in Science from the University of Alberta with a degree in Honors Math & Computer Science. My research interests include Deep Learning, Neural Operators, AI4Science (Theory + Applications), AI4Math (Theorem proving in Lean + Autoformalization), LLM reasoning, optimization and efficient training of foundational models.

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<p style="text-align: justify; hyphens: auto;">
I used to work with Professor <a href = "http://webdocs.cs.ualberta.ca/~whitem/">Martha White</a> and <a href = "https://sites.ualberta.ca/~amw8/" >Adam White (Google DeepMind)</a> at the Reinforcement Learning and Artificial Intelligence <a href = "http://rlai.ualberta.ca/)">(RLAI)</a> Lab and the Alberta Machine Intelligence Institute <a href = "https://www.amii.ca/">(Amii)</a>. Previously also worked with Professor <a href = "https://www.math.ualberta.ca/~bowman/">John Bowman</a> in the Mathematics Department. I was a CSRMP Research Scholar at <a href = "https://research.google/outreach/csrmp/">Google AI</a> and worked with <a href = "https://www.microsoft.com/en-us/research/research-area/data-platform-analytics/">Microsoft Research</a> as a Data Science Intern. I also did research in Numerical Algorithms affiliated with the Pacific Institute of Mathematical Sciences <a href = "https://www.pims.math.ca/">(PIMS)</a> and the Applied Mathematics Institute <a href = "https://sites.ualberta.ca/~yauwong/AMI.htm">(AMI)</a>.
I used to work with Professor <a href = "http://webdocs.cs.ualberta.ca/~whitem/">Martha White</a> and <a href = "https://sites.ualberta.ca/~amw8/" >Adam White (Google DeepMind)</a> at the Reinforcement Learning and Artificial Intelligence <a href = "http://rlai.ualberta.ca/)">(RLAI)</a> Lab led by <a href="http://incompleteideas.net/">Rich Sutton</a> and the Alberta Machine Intelligence Institute <a href = "https://www.amii.ca/">(Amii)</a>, as well as with Professor <a href = "https://www.math.ualberta.ca/~bowman/">John Bowman</a> in the Mathematics Department. I was a CSRMP Research Scholar at <a href = "https://research.google/outreach/csrmp/">Google AI</a> and collaborated with <a href = "https://www.microsoft.com/en-us/research/research-area/data-platform-analytics/">Microsoft Research</a> as a Data Science Intern. I also did research in Numerical Algorithms affiliated with the Pacific Institute of Mathematical Sciences <a href = "https://www.pims.math.ca/">(PIMS)</a> and the Applied Mathematics Institute <a href = "https://sites.ualberta.ca/~yauwong/AMI.htm">(AMI)</a>.
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<p style="text-align: justify; hyphens: auto;">
I also am interested in giving back to the community by teaching and mentoring students and sharing my love for AI4Science & Math. Used to co-lead the ML Theory Reading Group at <a href="https://cohere.for.ai/">Cohere for AI</a>.
Feel free to contact me if any of these interests align with your research or if you have any questions. I am always open to new opportunities and collaborations.
I also am interested in giving back to the <a href="https://www.robertj1.com/service/">community</a> by teaching and mentoring students and sharing my love for AI4Science & Math. Used to co-lead the ML Theory Reading Group at <a href="https://cohere.for.ai/">Cohere for AI</a>.
Feel free to contact me if any of these interests align with your research or if you have any questions. I am always open to new collaborations.
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<p style="margin-bottom:4cm;">
Email: rgeorge (at) caltech (dot) edu | Twitter: <a href = "https://twitter.com/Robertljg">@Robertljg</a> | LinkedIn: <a href = "https://www.linkedin.com/in/robertljg/">Robertj</a> | Github: <a href = "https://github.com/Robertboy18">@Robertboy18</a> | Academic: <a href = "https://www.robertj1.com/assets/pdf/resume1.pdf">CV</a>
</p>
Email: rgeorge (at) caltech (dot) edu | Twitter: <a href = "https://twitter.com/Robertljg">@Robertljg</a> | LinkedIn: <a href = "https://www.linkedin.com/in/robertljg/">Robertj</a> | Github: <a href = "https://github.com/Robertboy18">@Robertboy18</a> | Academic: <a href = "https://www.robertj1.com/assets/pdf/academic_cv.pdf">CV</a>

<!--<p class="elfsight-app-b13063fd-194b-41ac-a7f5-7c5932cf93f7"></p>
<h4 class="posts-item-note">Recent Posts</h4>
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24 changes: 16 additions & 8 deletions about.md
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## For an updated list of my research, see my [Google Scholar](https://scholar.google.ca/citations?view_op=list_works&hl=en&hl=en&user=5P1Uwy4AAAAJ) page.
<hr>

# Conference Proceedings and Workshops
Jiawei Zhao, **George, Robert Joseph**, Yifei Zhang, Zongyi Li and Anima Anandkumar. "Incremental Fourier Neural Operator". *NeurIPS 2022 Workshop AI4Science*, 2022. [[Paper](https://arxiv.org/pdf/2211.15188.pdf)], [[NeurIPS](https://nips.cc/Conferences/2022/ScheduleMultitrack?event=57971)]
# Under submission
Kumarappan, Adarsh, **George, Robert Joseph**, Anima Anandkumar et al. "
LeanAgent: Lifelong Learning for Formal Theorem Proving"

# Conference Proceedings
Rahman, Md Ashiqur, **George, Robert Joseph**, Anima Anandkumar et al. "Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs." NeurIPS, 2024. [[Paper](https://arxiv.org/abs/2403.12553)], [[Codebase](https://github.com/ashiq24/CoDA-NO)]

**George, Robert Joseph**, Jiawei Zhao, Jean Kossafii, Zongyi Li and Anima Anandkumar. "Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs". *Transactions of Machine Learning Research*, 2024. [[Paper](https://arxiv.org/pdf/2211.15188.pdf)], [[Codebase](https://github.com/neuraloperator/neuraloperator)]

**George, Robert Joseph**. "EDCDE - Extended Discovery of Closed-Form Differential Equations". *ICLR Tiny Paper*, 2023. [[Paper](https://openreview.net/forum?id=EVz_vcZQvvg&referrer=%5BAuthor%20Console%5D(%2Fgroup%3Fid%3DICLR.cc%2F2023%2FTinyPapers%2FAuthors%23your-submissions))], [[Codebase](https://github.com/Robertboy18/EDCDE-ICLR-2023)]
<hr>

# Arxiv Preprints
**George, Robert Joseph**, Jiawei Zhao, Jean Kossafii, Zongyi Li and Anima Anandkumar. "Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs". arXiv preprint, 2024. [[Paper](https://arxiv.org/pdf/2211.15188.pdf)], [[Codebase](https://github.com/neuraloperator/neuraloperator)]

Rahman, Md Ashiqur, **George, Robert Joseph**, Anima Anandkumar et al. "Pretraining Codomain Attention Neural Operators for Solving Multiphysics PDEs." arXiv preprint, 2024. [[Paper](https://arxiv.org/abs/2403.12553)], [[Codebase](https://github.com/ashiq24/CoDA-NO)]
# Workshops
**George, Robert Joseph**, David Pitt, Anima Anandkumar et al. "Tensor-GaLore: Memory-Efficient Training via Gradient Tensor Decomposition", NeurIPS Optimization for Machine Learning Workshop, 2024. [[Paper](https://openreview.net/forum?id=sBaUZzZXJN&referrer=%5BAuthor%20Console%5D(%2Fgroup%3Fid%3DNeurIPS.cc%2F2024%2FWorkshop%2FOPT%2FAuthors%23your-submissions))]

# Presentations and Posters
Jiawei Zhao, **George, Robert Joseph**, Yifei Zhang, Zongyi Li and Anima Anandkumar. "Incremental Fourier Neural Operator". *NeurIPS 2022 Workshop AI4Science*, 2022. [[Paper](https://arxiv.org/pdf/2211.15188.pdf)], [[NeurIPS](https://nips.cc/Conferences/2022/ScheduleMultitrack?event=57971)]

**George, Robert Joseph**, Martha White, Adam White and Samuel Neumann. "Making Reinforcement Learning Experiments More Reproducible and Computationally Efficient". *Reverse Expo*, Alberta Machine Intelligence Institute, 2022. [[Poster](https://www.robertj1.com/assets/pdf/RL-Poster.pdf)], [[Codebase](https://github.com/Robertboy18/MinAtar-Faster)]

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**George, Robert Joseph**, and Xinwei Yu. “Numerical Analysis for real-time Nonlinear Model Predictive Control of Ethanol Steam Reformers”. *Canadian Undergraduate Mathematics Conference*, 2022. [[Presentation](https://www.robertj1.com/assets/pdf/CUMC-2022-Presentation.pdf)], [[Paper](https://arxiv.org/abs/2210.13745)]
<hr>

# Summer Schools Attended
# Talks/Presentations

Foundational Models for PDEs, Scientific Foundation Models, University of Michigan, 2024.

CoDomain Attention Neural Operator, AI+Science, University of Chicago, 2024.

Summer School in Logic and Formal Epistemology, Carnegie Mellon University, 2022.

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<h4 class="posts-item-note">Recent News</h4>
- [July 2024 Attending University of Michigan for summer school on <a href = "https://scifm.ai/summer_school.html">Foundational Models</a>] <br>
- [July 2024 Attending University of Chicago as a <a href = "https://datascience.uchicago.edu/events/ai-science-summer-school-2024/">AI4Science Summer School Fellow</a>] <br>
- [June 2024 Finished my first year of <a href = "https://x.com/Robertljg/status/1800656342778253395">PhD</a>] <br>
- [April 2024 Passed my qualification exams]
- [October 2024] Invited as a speaker to give a talk on Neural Operators: Machine Learning in Function spaces at <a href = "https://ml.jpl.nasa.gov/index.html">NASA JPL</a>.<br>
- [October 2024] Attending the <a href = "https://www.ima.umn.edu/2024-2025/W10.25-29.24">Mathematics of Deep Learning Workshop</a> at the Institute for Mathematics and its Applications (UCLA).<br>
- [August 2024] Research updates: iFNO got accepted at TMLR, and CoDA-NO got accepted at NeurIPS.<br>
- [July 2024] Attending the University of Michigan for a summer school on <a href = "https://scifm.ai/summer_school.html">Foundational models for science.</a> <br>
- [July 2024] Attending University of Chicago as a <a href = "https://datascience.uchicago.edu/events/ai-science-summer-school-2024/">AI4Science Summer School Fellow.</a> <br>
- [April 2024] Passed my qualification <a href = "https://x.com/Robertljg/status/1800656342778253395">exams</a>.
- [December 2023] Attending NeurIPS in New Orleans.
- [September 2023] Starting my PhD at Caltech with a full fellowship.
- [July 2023] Graduated with First Class Honors from the University of Alberta with the Dean's Silver Medal in Science.
- [May 2023] Defended my 2nd Honors Thesis on Hybrid Dealiasing of Convolutions.
- [August 2023] Scholar program at Google AI.
- [June 2022] Summer school at Carnegie Mellon University in the Mathematics and Philosophy Department.
- [August 2022] Internship at Amii + RLAI Lab as a Research Intern.
- [May 2022] Defended my 1st Honors Thesis on Quasi-Linear PDEs.
- [May 2021] Internship at Microsoft + MSR as a Data Science Intern.
- [May 2020] Started the Google Developer Club and ACM Student Chapter at the University of Alberta.
- [September 2019] Started my Honors B.Sc in Math & CS at the University of Alberta.
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