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stat.ML2024
Asymptotics of Linear Regression with Linearly Dependent Data
Behrad Moniri, Hamed Hassani
In this paper we study the asymptotics of linear regression in settings with non-Gaussian covariates where the covariates exhibit a linear dependency structure, departing from the…
cs.CL2024
Evaluating the Performance of Large Language Models via Debates
Behrad Moniri, Hamed Hassani, Edgar Dobriban
Large Language Models (LLMs) are rapidly evolving and impacting various fields, necessitating the development of effective methods to evaluate and compare their performance. Most c…
math.ST2024
Signal-Plus-Noise Decomposition of Nonlinear Spiked Random Matrix Models
Behrad Moniri, Hamed Hassani
In this paper, we study a nonlinear spiked random matrix model where a nonlinear function is applied element-wise to a noise matrix perturbed by a rank-one signal. We establish a s…