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In this work, we present the construction of two distinct finite element approaches to solve the Porous Medium Equation (PME). In the first approach, we transform the PME to a log-density variable formulation and construct a continuous…

数值分析 · 数学 2023-03-28 Arjun Vijaywargiya , Guosheng Fu

Traditional KV cache eviction strategies, which discard less critical KV-pairs based on attention scores, often degrade generation quality, causing context loss or hallucinations. Recent efforts shift toward KV merging, merging eviction…

计算与语言 · 计算机科学 2025-11-14 Kunxi Li , Yufan Xiong , Zhonghua Jiang , Yiyun Zhou , Zhaode Wang , Chengfei Lv , Shengyu Zhang

The finite element method (FEM) is a well-established numerical method for solving partial differential equations (PDEs). However, its mesh-based nature gives rise to substantial computational costs, especially for complex multiscale…

计算工程、金融与科学 · 计算机科学 2025-06-24 Weihang Ouyang , Yeonjong Shin , Si-Wei Liu , Lu Lu

To broaden the application scenario and reduce energy consumption, we propose an energy-efficient fixed-gain (FG) amplify-and-forward (AF) relay assisted orthogonal frequency-division multiplexing with index modulation (OFDM-IM) scheme in…

信号处理 · 电气工程与系统科学 2020-06-11 Jiusi Zhou , Shuping Dang , Basem Shihada , Mohamed-Slim Alouini

Large Language Models (LLMs) have driven significant progress, yet their growing parameter counts and context windows incur prohibitive compute, energy, and monetary costs. We introduce EfficientLLM, a novel benchmark and the first…

SEMMS (Scalable Empirical-Bayes Model for Marker Selection) is a variable-selection procedure for generalized linear models that uses a three-component normal mixture prior on regression coefficients. In its original form, SEMMS assumes…

统计计算 · 统计学 2026-03-18 Haim Bar , Martin T. Wells

Block-sparse attention is promising for accelerating long-context LLM pre-filling, yet identifying relevant blocks efficiently remains a bottleneck. Existing methods typically employ coarse-grained attention as a proxy for block importance…

计算与语言 · 计算机科学 2026-05-26 Xinghao Wang , Pengyu Wang , Xiaoran Liu , Fangxu Liu , Jason Chu , Kai Song , Xipeng Qiu

Transformer blocks typically combine multi-head attention (MHA) for token mixing with gated MLPs for token-wise feature transformation, yet many choices in their parameterization remain largely empirical. We introduce Causal Energy…

机器学习 · 计算机科学 2026-05-11 Jin Xu , Camille Couturier , Victor Rühle , Saravan Rajmohan , James Hensman

Decreasing sequence length is a common way to accelerate transformers, but prior token reduction work often targets classification and reports proxy metrics rather than end-to-end latency. For semantic segmentation, token reduction is…

计算机视觉与模式识别 · 计算机科学 2026-04-08 Simon Ravé , Pejman Rasti , David Rousseau

The transformer architecture is central to the success of modern Large Language Models (LLMs), in part due to its surprising ability to perform a wide range of tasks - including mathematical reasoning, memorization, and retrieval - using…

机器学习 · 计算机科学 2025-09-05 Yihe Dong , Lorenzo Noci , Mikhail Khodak , Mufan Li

Multiple Instance Learning (MIL) effectively analyzes whole slide images but faces overfitting due to attention over-concentration. While existing solutions rely on complex architectural modifications or additional processing steps, we…

计算机视觉与模式识别 · 计算机科学 2025-07-01 Yunlong Zhang , Honglin Li , Yunxuan Sun , Zhongyi Shui , Jingxiong Li , Chenglu Zhu , Lin Yang

Generalized Entity Matching (GEM), which aims at judging whether two records represented in different formats refer to the same real-world entity, is an essential task in data management. The prompt tuning paradigm for pre-trained language…

计算与语言 · 计算机科学 2024-05-09 Yikuan Xia , Jiazun Chen , Xinchi Li , Jun Gao

The extended finite element method (XFEM) was introduced in 1999 to treat problems involving discontinuities with no or minimal remeshing through appropriate enrichment functions. This enables elements to be split by a discontinuity, strong…

数值分析 · 数学 2017-10-13 M Surendran , S Natarajan , SPA Bordas , GS Palani

The success of vision transformers-especially for generative modeling-is limited by the quadratic cost and weak spatial inductive bias of self-attention. We propose PDE-SSM, a spatial state-space block that replaces attention with a…

机器学习 · 计算机科学 2026-03-17 Eshed Gal , Moshe Eliasof , Siddharth Rout , Eldad Haber

Attention-based deep networks have been successfully applied on textual data in the field of NLP. However, their application on protein sequences poses additional challenges due to the weak semantics of the protein words, unlike the plain…

机器学习 · 计算机科学 2022-08-29 Ashish Ranjan , Md Shah Fahad , Akshay Deepak

Scaling depth is a key driver for large language models (LLMs). Yet, as LLMs become deeper, they often suffer from signal degradation: informative features formed in shallow layers are gradually diluted by repeated residual updates, making…

We present and analyze a linearized finite element method (FEM) for the dynamical incompressible magnetohydrodynamics (MHD) equations. The finite element approximation is based on mixed conforming elements, where Taylor--Hood type elements…

数值分析 · 数学 2019-02-20 Huadong Gao , Weifeng Qiu

This work studies the class of algorithms for learning with side-information that emerge by extending generative models with embedded context-related variables. Using finite mixture models (FMM) as the prototypical Bayesian network, we show…

机器学习 · 统计学 2020-08-17 Serafeim Perdikis , Robert Leeb , Ricardo Chavarriaga , José del R. Millán

Self-attention mechanism has been widely used for various tasks. It is designed to compute the representation of each position by a weighted sum of the features at all positions. Thus, it can capture long-range relations for computer vision…

计算机视觉与模式识别 · 计算机科学 2024-05-28 Xia Li , Zhisheng Zhong , Jianlong Wu , Yibo Yang , Zhouchen Lin , Hong Liu

Long-context question-answering (LCQA) systems have greatly benefited from the powerful reasoning capabilities of large language models (LLMs), which can be categorized into slow and quick reasoning modes. However, both modes have their…

计算与语言 · 计算机科学 2025-04-01 Zhengyi Zhao , Shubo Zhang , Zezhong Wang , Bin Liang , Binyang Li , Kam-Fai Wong