11 papers
Adaptation of Generalist Robot Policies with Minimal Data
Shreyas Kowshik, Sreyas Venkataraman, Leo Wang +3
A central goal in robot learning is to move beyond task-specific human data collection toward robots that improve through autonomous interaction. Yet fully autonomous learning rema…
Finite free perpetuities
Julia Le Bihan, Bartosz KoÅodziejek
We introduce and study finite free perpetuities, defined as monic polynomial solutions of degree to the affine fixed-point equation \[ p(z) = \mathbb{E}\!\left[ A^{n}\,p\!\left…
On the empirical spectral distribution of matrix perpetuities
Bartosz KoÅodziejek, Kamil Szpojankowski
We study matrix perpetuities, that is, solutions to affine fixed-point equations of the form \[ \mathbf{X} \stackrel{d}{=} \mathbf{A}\,\mathbf{X} \,\mathbf{A}^\top+\mathbf{B},\qqua…
Probability laws associated to the independence preserving quadrirational Yang-Baxter maps -- the ultimate case
Bartosz KoÅodziejek, Gérard Letac, Mauro Piccioni +1
A map is said to be independence preserving (IP) if there exists a pair of independent random variables v…
Identifying Network Hubs with the Partial Correlation Graphical LASSO
MaÅgorzata Bogdan, Adam Chojecki, Ivan Hejný +2
Graphical LASSO (GLASSO) is a widely used method for estimating sparse precision matrices and learning undirected graphical models in high-dimensional settings. Because GLASSO pena…
A new class of colored Gaussian graphical models with explicit normalizing constants
Adam Chojecki, Piotr Graczyk, Hideyuki Ishi +1
We study Bayesian model selection in colored Gaussian graphical models (CGGMs), which combine sparsity of conditional independencies with symmetry constraints encoded by vertex- an…