Zobrazeno 1 - 10
of 2 305
pro vyhledávání: '"TAN, KAI"'
Autor:
Li, Chengqing, Tan, Kai
The complex dynamics of baker's map and its variants in an infinite-precision mathematical domain have been extensively analyzed in the past five decades. However, their real structure implemented in a finite-precision computer remains unclear. This
Externí odkaz:
http://arxiv.org/abs/2410.04093
Autor:
Tan, Kai, Bellec, Pierre C.
This paper studies the generalization performance of iterates obtained by Gradient Descent (GD), Stochastic Gradient Descent (SGD) and their proximal variants in high-dimensional robust regression problems. The number of features is comparable to the
Externí odkaz:
http://arxiv.org/abs/2410.02629
We characterize the squared prediction risk of ensemble estimators obtained through subagging (subsample bootstrap aggregating) regularized M-estimators and construct a consistent estimator for the risk. Specifically, we consider a heterogeneous coll
Externí odkaz:
http://arxiv.org/abs/2409.15252
Autor:
Khosravi, Mahsa, Carroll, Matthew, Tan, Kai Liang, Van der Laan, Liza, Raigne, Joscif, Mueller, Daren S., Singh, Arti, Balu, Aditya, Ganapathysubramanian, Baskar, Singh, Asheesh Kumar, Sarkar, Soumik
Agricultural production requires careful management of inputs such as fungicides, insecticides, and herbicides to ensure a successful crop that is high-yielding, profitable, and of superior seed quality. Current state-of-the-art field crop management
Externí odkaz:
http://arxiv.org/abs/2409.00735
Autor:
Li, Yanbo, Tan, Kai Meng
Let $e$ be an integer at least two. We define the $e$-core and the $e$-weight of a multipartition associated with a multicharge as the $e$-core and the $e$-weight of its image under the Uglov map. We do not place any restriction on the multicharge fo
Externí odkaz:
http://arxiv.org/abs/2408.10626
Autor:
Bellec, Pierre C., Tan, Kai
This paper investigates the iterates $\hbb^1,\dots,\hbb^T$ obtained from iterative algorithms in high-dimensional linear regression problems, in the regime where the feature dimension $p$ is comparable with the sample size $n$, i.e., $p \asymp n$. Th
Externí odkaz:
http://arxiv.org/abs/2404.17856
Proteins are essential for life, and their structure determines their function. The protein secondary structure is formed by the folding of the protein primary structure, and the protein tertiary structure is formed by the bending and folding of the
Externí odkaz:
http://arxiv.org/abs/2402.19095
Fr\'echet regression has received considerable attention to model metric-space valued responses that are complex and non-Euclidean data, such as probability distributions and vectors on the unit sphere. However, existing Fr\'echet regression literatu
Externí odkaz:
http://arxiv.org/abs/2310.19114
Generalized cross-validation (GCV) is a widely-used method for estimating the squared out-of-sample prediction risk that employs a scalar degrees of freedom adjustment (in a multiplicative sense) to the squared training error. In this paper, we exami
Externí odkaz:
http://arxiv.org/abs/2310.01374
Autor:
Tan, Kai, Bellec, Pierre C.
This paper investigates the asymptotic distribution of the maximum-likelihood estimate (MLE) in multinomial logistic models in the high-dimensional regime where dimension and sample size are of the same order. While classical large-sample theory prov
Externí odkaz:
http://arxiv.org/abs/2305.17825