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- Holden Lee
- ArXiv
- 2015

An open problem in complexity theory is to find the minimal degree of a polynomial representing the n-bit OR function modulo composite m. This problem is related to understanding the power of circuits with MOD m gates where m is composite. The OR function is of particular interest because it is the simplest function not amenable to bounds from communication… (More)

- Sanjeev Arora, Holden Lee
- 2015

Today we talk about tensor decomposition, a general purpose tool for learning latent variable models. Then we switch gears and talk about a recent improvement of the topic modeling algorithm we saw in an earlier lecture. Tensor decomposition is the analog of spectral decomposition for tensors. The nice thing about eigenvalues/eigenvectors is that they exist… (More)

- Eva Belmont, Holden Lee, Alexandra Musat, Sarah Trebat-Leder
- 2013

Folsom, Kent, and Ono used the theory of modular forms modulo to establish remarkable " self-similarity " properties of the partition function and give an overarching explanation of many partition congruences. We generalize their work to analyze powers p r of the partition function as well as Andrews's spt-function. By showing that certain generating… (More)

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