Zobrazeno 1 - 10
of 3 964
pro vyhledávání: '"GREENGARD P"'
Over the last two decades, several fast, robust, and high-order accurate methods have been developed for solving the Poisson equation in complicated geometry using potential theory. In this approach, rather than discretizing the partial differential
Externí odkaz:
http://arxiv.org/abs/2409.11998
We present a new complexification scheme based on the classical double layer potential for the solution of the Helmholtz equation with Dirichlet boundary conditions in compactly perturbed half-spaces in two and three dimensions. The kernel for the do
Externí odkaz:
http://arxiv.org/abs/2409.06988
Multiple scattering methods are widely used to reduce the computational complexity of acoustic or electromagnetic scattering problems when waves propagate through media containing many identical inclusions. Historically, this numerical technique has
Externí odkaz:
http://arxiv.org/abs/2408.02881
Autor:
Börgers, Christoph, Greengard, Claude
In Chakraborti's yard-sale model of an economy, identical agents engage in pairwise trades, resulting in wealth exchanges that conserve each agent's expected wealth. Doob's martingale convergence theorem immediately implies almost sure wealth condens
Externí odkaz:
http://arxiv.org/abs/2406.10978
Autor:
Biderman, Dan, Portes, Jacob, Ortiz, Jose Javier Gonzalez, Paul, Mansheej, Greengard, Philip, Jennings, Connor, King, Daniel, Havens, Sam, Chiley, Vitaliy, Frankle, Jonathan, Blakeney, Cody, Cunningham, John P.
Low-Rank Adaptation (LoRA) is a widely-used parameter-efficient finetuning method for large language models. LoRA saves memory by training only low rank perturbations to selected weight matrices. In this work, we compare the performance of LoRA and f
Externí odkaz:
http://arxiv.org/abs/2405.09673
Label bias occurs when the outcome of interest is not directly observable and instead, modeling is performed with proxy labels. When the difference between the true outcome and the proxy label is correlated with predictors, this can yield systematic
Externí odkaz:
http://arxiv.org/abs/2403.00639
We propose a simple approach for memory-efficient adaptation of pretrained language models. Our approach uses an iterative algorithm to decompose each pretrained matrix into a high-precision low-rank component and a memory-efficient quantized compone
Externí odkaz:
http://arxiv.org/abs/2311.12023
Autor:
Börgers, Christoph, Greengard, Claude
In Chakraborti's yard-sale model of an economy, identical agents engage in trades that result in wealth exchanges, but conserve the combined wealth of all agents and each agent's expected wealth. In this model, wealth condensation, that is, convergen
Externí odkaz:
http://arxiv.org/abs/2308.01485
Autor:
Jiang, Shidong, Greengard, Leslie
We introduce a new class of multilevel, adaptive, dual-space methods for computing fast convolutional transforms. These methods can be applied to a broad class of kernels, from the Green's functions for classical partial differential equations (PDEs)
Externí odkaz:
http://arxiv.org/abs/2308.00292
Many integral equation-based methods are available for problems of time-harmonic electromagnetic scattering from perfect electric conductors. Moreover, there are numerous ways in which the geometry can be represented, numerous ways to represent the r
Externí odkaz:
http://arxiv.org/abs/2306.04473