@software{ArrowSpace:2025,
Author = {{Moriondo}, Lorenzo},
Title = {{ArrowSpace-rs}: Spectral Vector Search with Lambda-Tau Indexing},
Year = 2025,
Note = {Rust codebase for spectral indexing},
Url = {https://github.com/Mec-iS/arrowspace-rs},
doi = {10.36227/techrxiv.175751921.18542359/v1}
}
@article{malkov:2018,
title={Efficient and robust approximate nearest neighbor search using Hierarchical Navigable Small World graphs},
author={Malkov, Yu A and Yashunin, D A},
journal={IEEE transactions on pattern analysis and machine intelligence},
volume={42},
number={4},
pages={824--836},
year={2020},
doi={10.1109/TPAMI.2018.2889473}
}
@misc{Mahadevan:2006,
Author = {Mahadevan, Sridhar},
Title = {Spectral Graph Theory Lecture Notes},
Institution = {University of Massachusetts, Amherst},
Year = {2006},
Note = {Course CMPSCI 791BB},
Url = {https://people.cs.umass.edu/~mahadeva/cs791bb/lectures-s2006/lec4.pdf}
}
@misc{Chen:2020,
Author = {{Chen}, Guangliang},
Title = {Math 253: {R}ayleigh Quotient Lecture Notes},
Institution = {San Jose State University},
Year = 2020,
Note = {Available at: \url{https://www.sjsu.edu/faculty/guangliang.chen/Math253S20/lec4RayleighQuotient.pdf}}
}
@article{Lewis:2020,
author = {{Lewis}, Patrick and {Perez}, Ethan and {Piktus}, Aleksandra and {Petroni}, Fabio and {Karpukhin}, Vladimir and {Goyal}, Naman and {Küttler}, Heinrich and {Lewis}, Mike and {Yih}, Wen-tau and {Rocktäschel}, Tim and {Riedel}, Sebastian and {Kiela}, Douwe},
title = {Retrieval-Augmented Generation for Knowledge-Intensive NLP Tasks},
journal = {arXiv preprint},
archivePrefix = {arXiv},
eprint = {2005.11401},
primaryClass = {cs.CL},
year = {2020},
url = {https://arxiv.org/abs/2005.11401},
doi = {10.48550/arXiv.2005.11401},
note = {Accepted at NeurIPS 2020}
}
@misc{Spielman:2007,
Author = {{Spielman}, Daniel A.},
Title = {Spectral Graph Theory - {L}ecture 7},
Institution = {Yale University},
Year = 2007,
Note = {Available at: \url{https://www.cs.yale.edu/homes/spielman/462/2007/lect7-07.pdf}}
}
@article{Weller:2025,
title={On the Theoretical Limitations of Embedding-Based Retrieval},
author={Orion Weller and Michael Boratko and Iftekhar Naim and Jinhyuk Lee},
year={2025},
eprint={2508.21038},
archivePrefix={arXiv},
primaryClass={cs.IR},
url={https://arxiv.org/abs/2508.21038}
}
@article{Kelly:2020,
Author = {{Kelly}, Terence},
Title = {Compressed Sparse Row Format for Representing Graphs},
Journal = {;login: The Magazine of USENIX \& The Advanced Computing Systems Association},
Volume = {45},
Number = {4},
Pages = {76--83},
Year = {2020},
Url = {https://www.usenix.org/system/files/login/articles/login_winter20_16_kelly.pdf},
Note = {Programming Workbench Column}
}
@article{VonLuxburg:2007,
Author = {{von Luxburg}, Ulrike},
Title = {{A tutorial on spectral clustering}},
Journal = {Statistics and Computing},
Year = 2007,
Volume = 17,
Pages = {395--416},
Doi = {10.1007/s11222-007-9033-z}
}
@phdthesis{Bai:2007,
Author = {{Bai}, Xiao},
Title = {Heat Kernel Analysis On Graphs},
School = {University of York},
Year = 2007
}
@article{Bai:2010,
Author = {{Bai}, Xiao and {Hancock}, Edwin R.},
Title = {Heat Kernels, Manifolds and Graph Embedding},
Journal = {Pattern Recognition},
Note = {University of California, Davis},
Year = 2010,
doi = {10.1007/978-3-540-27868-9_20}
}
@software{smartcore:2021,
author = {Orlov, Vlad},
title = {{SmartCore}: Machine Learning Library for {R}ust},
url = {https://smartcorelib.org/},
year = {2019}
}
@software{rust2015,
author = {{Rust Team}},
title = {The {R}ust Programming Language},
url = {https://www.rust-lang.org/},
year = {2015},
note = {Edition 2024}
}
@book{Nelson:2015,
Author = {{Nelson}, Philip},
Title = {{Physical Models of Living Systems}},
Publisher = {University of Pennsylvania},
Year = 2015,
Note = {Available at: \url{https://www.physics.upenn.edu/biophys/PMLS/}}
}
@article{YouKisung:2025,
title={Semantics at an Angle: When Cosine Similarity Works Until It Doesn't},
author={You, Kisung},
journal={arXiv preprint arXiv:2504.16318},
year={2025},
month={5},
note={arXiv:2504.16318v2 [cs.LG]},
doi={10.48550/arXiv.2504.16318},
url={https://arxiv.org/abs/2504.16318v2},
archivePrefix={arXiv},
eprint={2504.16318},
primaryClass={cs.LG}
}