activity
20202025
most citeda-Tucker: Input-Adaptive and Matricization-Free Tucker Decomposition for Dense Tensors on CPUs and GPUs

3 citations · 4 across the 11 of their papers we have counts for

collaborators

11 papers

math.NA2025

A Novel Block-Alternating Iterative Algorithm for Retrieving Top- Elements from Factorized Tensors

Chuanfu Xiao, Jiaxin Zeng

Tensors, especially higher-order tensors, are typically represented in low-rank formats to preserve the main information of the high-dimensional data while saving memory space. In…

cs.CL2025

AnTKV: Anchor Token-Aware Sub-Bit Vector Quantization for KV Cache in Large Language Models

Zeyu Li, Chuanfu Xiao, Yang Wang +6

Quantization has emerged as an effective and lightweight solution to reduce the memory footprint of the KV cache in Large Language Models. Nevertheless, minimizing the accuracy deg…

math.NA2025

Provable Low-Rank Tensor-Train Approximations in the Inverse of Large-Scale Structured Matrices

Chuanfu Xiao, Kejun Tang, Zhitao Zhu

This paper studies the low-rank property of the inverse of a class of large-scale structured matrices in the tensor-train (TT) format, which is typically discretized from different…

math.NA2024

HaTT: Hadamard avoiding TT recompression

Zhonghao Sun, Jizu Huang, Chuanfu Xiao +1

The Hadamard product of tensor train (TT) tensors is a fundamental nonlinear operation in scientific computing and data analysis. However, due to its tendency to significantly incr…

cs.CL2024

SampleAttention: Near-Lossless Acceleration of Long Context LLM Inference with Adaptive Structured Sparse Attention

Qianchao Zhu, Jiangfei Duan, Chang Chen +6

Large language models (LLMs) now support extremely long context windows, but the quadratic complexity of vanilla attention results in significantly long Time-to-First-Token (TTFT)…

math.NA2024

APTT: An accuracy-preserved tensor-train method for the Boltzmann-BGK equation

Zhitao Zhu, Chuanfu Xiao, Kejun Tang +2

Solving the Boltzmann-BGK equation with traditional numerical methods suffers from high computational and memory costs due to the curse of dimensionality. In this paper, we propose…

math.NA2024

HOSCF: Efficient decoupling algorithms for finding the best rank-one approximation of higher-order tensors

Chuanfu Xiao, Zeyu Li, Chao Yang

Best rank-one approximation is one of the most fundamental tasks in tensor computation. In order to fully exploit modern multi-core parallel computers, it is necessary to develop d…

cs.DS2022

Tensor-Based Sketching Method for the Low-Rank Approximation of Data Streams

Cuiyu Liu, Chuanfu Xiao, Mingshuo Ding +1

Low-rank approximation in data streams is a fundamental and significant task in computing science, machine learning and statistics. Multiple streaming algorithms have emerged over…

math.NA2021★ 1 cited

A rank-adaptive higher-order orthogonal iteration algorithm for truncated Tucker decomposition

Chuanfu Xiao, Chao Yang

We propose a novel rank-adaptive higher-order orthogonal iteration (HOOI) algorithm to compute the truncated Tucker decomposition of higher-order tensors with a given error toleran…

cs.DC2020★ 3 cited

a-Tucker: Input-Adaptive and Matricization-Free Tucker Decomposition for Dense Tensors on CPUs and GPUs

Min Li, Chuanfu Xiao, Chao Yang

Tucker decomposition is one of the most popular models for analyzing and compressing large-scale tensorial data. Existing Tucker decomposition algorithms usually rely on a single s…

math.NA2020

Efficient Alternating Least Squares Algorithms for Low Multilinear Rank Approximation of Tensors

Chuanfu Xiao, Chao Yang, Min Li

The low multilinear rank approximation, also known as the truncated Tucker decomposition, has been extensively utilized in many applications that involve higher-order tensors. Popu…