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Large Language Models (LLMs) have shown remarkable reasoning performance but struggle with multi-step deductive reasoning involving a series of rule application steps, especially when rules are presented non-sequentially. Our preliminary…

计算与语言 · 计算机科学 2024-08-27 Siyuan Wang , Zhongyu Wei , Yejin Choi , Xiang Ren

Low-rank representation (LRR) is an effective method for subspace clustering and has found wide applications in computer vision and machine learning. The existing LRR solver is based on the alternating direction method (ADM). It suffers…

最优化与控制 · 数学 2011-09-05 Zhouchen Lin , Risheng Liu , Zhixun Su

This paper is devoted to proposing a general weighted low-rank recovery model and designing a fast SVD-free computational scheme to solve it. First, our generic weighted low-rank recovery model unifies several existing approaches in the…

最优化与控制 · 数学 2022-08-02 Aritra Dutta , Jingwei Liang , Xin Li

Compression has emerged as one of the essential deep learning research topics, especially for the edge devices that have limited computation power and storage capacity. Among the main compression techniques, low-rank compression via matrix…

机器学习 · 计算机科学 2021-12-02 Moonjung Eo , Suhyun Kang , Wonjong Rhee

Thanks to its superior features of fast read/write speed and low power consumption, spin-torque transfer magnetic random access memory (STT-MRAM) has become a promising non-volatile memory (NVM) technology that is suitable for many…

信息论 · 计算机科学 2024-10-10 Xingwei Zhong , Kui Cai , Zhen Mei , Tony Q. S. Quek

We give efficient algorithms for ranking Lyndon words of length $n$ over an alphabet of size $\sigma$. The rank of a Lyndon word is its position in the sequence of lexicographically ordered Lyndon words of the same length. The outputs are…

数据结构与算法 · 计算机科学 2023-12-13 Tomasz Kociumaka , Jakub Radoszewski , Wojciech Rytter

Molecular Representation Learning (MRL) has emerged as a powerful tool for drug and materials discovery in a variety of tasks such as virtual screening and inverse design. While there has been a surge of interest in advancing model-centric…

化学物理 · 物理学 2023-09-29 Dingshuo Chen , Yanqiao Zhu , Jieyu Zhang , Yuanqi Du , Zhixun Li , Qiang Liu , Shu Wu , Liang Wang

Linear reduced-order modeling (ROM) simplifies complex simulations by approximating the behavior of a system using a simplified kinematic representation. Typically, ROM is trained on input simulations created with a specific spatial…

We present LARL-RM (Large language model-generated Automaton for Reinforcement Learning with Reward Machine) algorithm in order to encode high-level knowledge into reinforcement learning using automaton to expedite the reinforcement…

机器学习 · 计算机科学 2024-02-13 Shayan Meshkat Alsadat , Jean-Raphael Gaglione , Daniel Neider , Ufuk Topcu , Zhe Xu

A robust algorithm for non-negative matrix factorization (NMF) is presented in this paper with the purpose of dealing with large-scale data, where the separability assumption is satisfied. In particular, we modify the Linear Programming…

机器学习 · 统计学 2014-01-10 Jason Gejie Liu , Shuchin Aeron

Modern large language models (LLMs) place extraordinary pressure on memory and compute budgets, making principled compression indispensable for both deployment and continued training. We present Hierarchical Sparse Plus Low-Rank (HSS)…

机器学习 · 计算机科学 2026-01-14 Pawan Kumar , Aditi Gupta

Recursive decoding techniques are considered for Reed-Muller (RM) codes of growing length $n$ and fixed order $r.$ An algorithm is designed that has complexity of order $n\log n$ and corrects most error patterns of weight up to…

信息论 · 计算机科学 2017-03-17 Ilya Dumer

A neuromorphic SLAM system shows potential for more efficient implementation than its traditional counterpart. We demonstrate a mixed-mode implementation for spatial encoding neurons including theta cells, vector cells, and place cells.…

系统与控制 · 电气工程与系统科学 2023-12-19 Zhaoqi Chen , Ralph Etienne-Cummings

Low-Rank Adaptation (LoRA) fine-tunes large models by learning low-rank updates on top of frozen weights, dramatically reducing trainable parameters and memory. In this work, we address the gap between training with full steps with low-rank…

The (n, k, r)-Locally recoverable codes (LRC) studied in this work are (n, k) linear codes for which the value of each coordinate can be recovered by a linear combination of at most r other coordinates. In this paper, we are interested to…

信息论 · 计算机科学 2018-09-26 Majid Khabbazian

Subspace clustering refers to the problem of segmenting a set of data points approximately drawn from a union of multiple linear subspaces. Aiming at the subspace clustering problem, various subspace clustering algorithms have been proposed…

计算机视觉与模式识别 · 计算机科学 2016-10-17 Yu Song , Yiquan Wu

Low-rank and sparse composite approximation is a natural idea to compress Large Language Models (LLMs). However, such an idea faces two primary challenges that adversely affect the performance of existing methods. The first challenge…

机器学习 · 计算机科学 2026-02-27 Changhai Zhou , Qian Qiao , Yuhua Zhou , Yuxin Wu , Shichao Weng , Weizhong Zhang , Cheng Jin

Input features are conventionally represented as vectors, matrices, or third order tensors in the real field, for color image classification. Inspired by the success of quaternion data modeling for color images in image recovery and…

计算机视觉与模式识别 · 计算机科学 2025-12-10 Wang Chen , Ziyan Luo , Shuangyue Wang

In this work, we study the performance of different decoding schemes for multilevel flash memories where each page in every block is encoded independently. We focus on the multi-level cell (MLC) flash memory, which is modeled as a two-user…

信息论 · 计算机科学 2016-05-04 Pengfei Huang , Paul H. Siegel , Eitan Yaakobi

Following the advance of style transfer with Convolutional Neural Networks (CNNs), the role of styles in CNNs has drawn growing attention from a broader perspective. In this paper, we aim to fully leverage the potential of styles to improve…

计算机视觉与模式识别 · 计算机科学 2019-03-27 HyunJae Lee , Hyo-Eun Kim , Hyeonseob Nam
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