### A Convergence Rate for Manifold Neural Networks

Chew, J.A.; Perlmutter, M.; Needell, D. A Convergence Rate for Manifold Neural Networks. arXiv preprint, 2022.

Click here to download full CV (last updated: September 2022).

- Ph.D. in Applied Mathematics, University of California, Los Angeles, 2025 (expected)
- Area Exams (passed Spring 2021):
- Numerical Analysis
- Optimization/Numerical Linear Algebra

- Area Exams (passed Spring 2021):
- M.A. in Mathematics, University of California, Los Angeles, 2022
- B.S. in Mathematics (Honors), Calvin University, 2020
- B.A. in Chemistry, Calvin University, 2020

- June 2021 - present: Graduate Student Researcher
- University of California, Los Angeles Department of Mathematics
- Supervisor: Prof. Deanna Needell
- Research interests:
- Numerical linear algebra
- Stochastic iterative methods
- Graph and manifold learning

- June 2019 - August 2019: NSF REU
- Cornell University Department of Mathematics
- Supervisor: Dr. Andy Borum
- Studied the equilibrium configurations of flexible helical springs using optimal control. Developed numerical methods to find unstable configurations and demonstrated the presence of saddle-node bifurcations in the equilibrium configurations of twisted springs.

- May 2018 - September 2020: Undergraduate Researcher
- Calvin University Department of Chemistry and Biochemistry
- Supervisor: Prof. Douglas A. Vander Griend
- Projects:
*Development of a parallelized, high-throughput website for equilibrium binding analysis:*Applied several classes of optimization algorithms to the simultaneous determination of reaction stoichiometry and binding constants of equilibrium systems of host-guest binding. Evaluated speed, convergence, and accuracy to devise a new hybrid algorithm. Currently implementing this new methodology in a supercomputer software package to facilitate fast, high-throughput analysis via a website interface.*Mathematical and computational analysis of 1:1 equilibrium binding:*Wrote Monte Carlo simulations to determine the robustness of global analysis for determination of binding constants of 1:1 host-guest equilibrium binding. Numerically demonstrated the benefits of using mathematically-derived optimal parameters for the titration experiment.

- May 2017 - August 2017: Undergraduate Researcher
- Calvin University Department of Mathematics and Statistics
- Supervisor: Prof. James Turner
- Worked towards a new proof of the 3-variable Moreno-Socias conjecture to prove the generalized conjecture. Used computer algebra systems to compute Grobner bases of generic ideals. Formulated a conjecture characterizing generic Grobner bases and proved the 2-variable case.

### A Convergence Rate for Manifold Neural Networks

Chew, J.A.; Perlmutter, M.; Needell, D. A Convergence Rate for Manifold Neural Networks. arXiv preprint, 2022.

### Multi-scale Hybridized Topic Modeling: A Pipeline for Analyzing Unstructured Text Datasets using Topic Modeling

Cheng, K; Inzer, S.; Leung, A.; Shen, X.; Perlmutter, M.; Lindstrom, M.; Chew, J.A.; Presner, T.; Needell, D. Multi-scale Hybridized Topic Modeling: A Pipeline for Analyzing Unstructured Text Datasets using Topic Modeling. Submitted for publication, 2022.

### Bootstrap methods for quantifying the uncertainty of binding constants in the hard modeling of spectrophotometric titration data

Kazmierczak, N.P.; Chew, J.A.; Vander Griend, D.A. Bootstrap methods for quantifying the uncertainty of binding constants in the hard modeling of spectrophotometric titration data. Analytica Chimica Acta, 2022, 1227:339834.

### Geometric Scattering on Measure Spaces

Chew, J.A.; Hirn, M.; Krishnaswamy, S.; Needell, D.; Perlmutter, M.; Steach, H.R.; Viswanath, S.; Wu, H.-T. Geometric Scattering on Measure Spaces. Submitted for publication, 2022.

### The Manifold Scattering Transform for High-Dimensional Point Cloud Data

Chew, J.A.; Steach, H.R.; Viswanath, S.; Wu, H.-T.; Hirn, M.; Needell, D.; Krishnaswamy, S.; Perlmutter, M. The Manifold Scattering Transform for High-Dimensional Point Cloud Data. arXiv preprint, 2022.

### A reliable algorithm for calculating stoichiometry parameters in the hard modeling of spectrophotometric titration data

Kazmierczak, N.P.; Chew, J.A.; Vander Griend, D.A. A reliable algorithm for calculating stoichiometry parameters in the hard modeling of spectrophotometric titration data. Journal of Chemometrics, 2022, 36:e3409.

### Guided Semi-Supervised Non-Negative Matrix Factorization

Li, P.; Tseng, C.; Zheng, Y.; Chew, J.A.; Huang, L.; Jarman, B.; Needell, D. Guided Semi-Supervised Non-Negative Matrix Factorization. Algorithms 2022, 15:136

### Sensitivity Limits for Determining 1:1 Binding Constants from Spectrophotometric Titrations via Global Analysis

Kazmierczak, N.P.; Chew, J.A.; Michmerhuizen, A.R.; Kim, S.E.; Drees, Z.D.; Rylaarsdam, A.; Thong, T.; Van Laar, L.; Vander Griend, D.A. Sensitivity Limits for Determining 1:1 Binding Constants from Spectrophotometric Titrations via Global Analysis. Journal of Chemometrics, 2019, 33:e3119.

### Geometric Scattering on Non-Euclidean Data

Conference talk at SIAM MDS 2022, San Diego, CA

### NSF GRFP Workshop

Workshop at UCLA Department of Mathematics, Los Angeles, CA

### Tension Induced Instabilities of Twisted Springs

Talk at Cornell University Undergraduate Research Forum, Ithaca, NY

### Defining the Relationship: Computer-Driven Characterization of the Binding of Host and Guest Molecules

Poster at Joint Mathematics Meetings, Baltimore, MD

### The Tie that Binds: Optimal Design of Equilibrium Spectrophotometric Titrations

Poster at West Michigan Regional Undergraduate Science Conference, Grand Rapids, MI

### Characterizing the Grobner Bases of Generic Ideals

Poster at West Michigan Regional Undergraduate Science Conference, Grand Rapids, MI

### Cake and What I Learned From Cutting It

Talk at TEDx Valencia High School, Placentia, CA

- Raymond Redheffer Prize (recognizes graduate student going above and beyond who taught freshman calculus course), 2022
- NSF Graduate Research Fellowship, 2020
- NCWIT Collegiate Award Finalist, 2019
- Goldwater Scholarship Honorable Mention, 2018
- Calvin Student Research Fellowship, 2016

Click here for more information about each of these programs.

- UCLA CAM REU (2021, 2022)
- UCLA Women in Mathematics (2021-present)
- UCLA Directed Reading Program (2021-2022)