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gregorygundersen.com

gregory gundersen is a researcher in new york.

projecteuclid.org

In this paper we study the relative Chow and $K$-stability of toric manifolds. First, we give a criterion for relative $K$-stability and instability of toric Fano manifolds in the toric sense. The reduction of relative Chow stability on toric manifolds will be investigated using the Hibert-Mumford criterion in two ways. One is to consider the maximal torus action and its weight polytope. We obtain a reduction by the strategy of Ono [34], which fits into the relative GIT stability detected by Székelyhidi. The other way relies on $\mathbb{C}^*$-actions and Chow weights associated to toric degenerations following Donaldson and Ross-Thomas [13, 36]. In the end, we determine the relative $K$-stability of all toric Fano threefolds and present counter-examples which are relatively $K$-stable in the toric sense but which are asymptotically relatively Chow unstable.

andrewcharlesjones.github.io

In many types of programming, random seeds are used to make computational results reproducible by generating a known set of random numbers. However, the choice of a random seed can affect results in non-trivial ways.

albany.edu

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google.com

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nowozin.net

I have used probabilistic models for a number of years now and over this time I have used different paradigms to build my models, to estimate them from data, and to perform inference and predictions. Overall I have slowly become a Bayesian; however, it has been a rough journey. When …

jeffreygwang.com

At OpenAI, I work on research in pretraining and reinforcement learning. In addition to this work, I was a core research contributor to many releases (o3, o4-mini, and GPT-5.