Mathematics of Data Science
2026/07/11 by Afonso S. Bandeira, Amit Singer, Thomas Strohmer · 15 voices
#cs.LG #cs.AI #cs.IT #math.PR
paper · pdf
Abstract
This book is about the mathematical foundations of data science. 1. Introduction 2. Curses, Blessings, and Surprises in High Dimensions 3. Singular Value Decomposition and Principal Component Analysis 4. Linear Regression and Regularization 5. Graphs, Networks, and Clustering 6. Nonlinear Dimension Reduction and Diffusion Maps 7. Linear Dimension Reduction via Random Projections 8. Optimization for Data Science 9. Classification 10. A Mathematical Introduction to Deep Learning 11. Large Sample Limit of Graph Laplacians 12. Community 13. Concentration of Measure and Gaussian Analysis 14. Matrix Concentration Inequalities 15. Compressive Sensing and Sparsity 16. Low-Rank Matrix Recovery
Discussions
- Mathematics of Data Science [hn, 222 points, 14 comments]
- Mathematics of Data Science — This arXiv submission offers a rigorous look at the mathematical foundations that underpin modern data science, moving beyond high-level abstractions to examine the core [bsky, 2 points, 0 comments]
- Mathematics of Data Science Afonso S. Bandeira, Amit Singer, Thomas Strohmer arxiv.org/abs/2607.11938 [bsky, 2 points, 0 comments]
- Mathematics of Data Science https://arxiv.org/abs/2607.11938 (https://news.ycombinator.com/item?id=48939896) [bsky, 1 points, 0 comments]
- [14/30] 223 Upvotes, 13 Comments, 2 Posts, arXiv:2607.11938 🆕Mathematics of Data Science Afonso S. Bandeira, Amit Singer, Thomas Strohmer [bsky, 1 points, 1 comments]
- Mathematics of Data Science https://arxiv.org/abs/2607.11938 [bsky, 0 points, 0 comments]
- Mathematics of Data Science https://arxiv.org/abs/2607.11938 (https://news.ycombinator.com/item?id=48939896) [bsky, 0 points, 0 comments]
- Mathematics of Data Science https://arxiv.org/abs/2607.11938 [bsky, 0 points, 0 comments]
- Mathematics of Data Science https://arxiv.org/abs/2607.11938 (http://news.ycombinator.com/item?id=48939896) [bsky, 0 points, 0 comments]
- Mathematics of Data Science https:// arxiv.org/abs/2607.11938 # arxiv # science [mastodon, 0 points, 0 comments]
- Mathematics of Data Science https://arxiv.org/abs/2607.11938 [comments] [169 points] [bsky, 0 points, 0 comments]
- Mathematics of Data Science [bsky, 0 points, 0 comments]
- Mathematics of Data Science #HackerNews https://arxiv.org/abs/2607.11938 [bsky, 0 points, 0 comments]
- Mathematics of Data Science https://arxiv.org/abs/2607.11938 https://news.ycombinator.com/item?id=48939896 [bsky, 0 points, 0 comments]
- Mathematics of Data Science https://arxiv.org/abs/2607.11938 https://news.ycombinator.com/item?id=48939896 [bsky, 0 points, 0 comments]
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