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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…

Numerical Analysis · Mathematics 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…

Computation and Language · Computer Science 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…

Computational Engineering, Finance, and Science · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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…

Computation · Statistics 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…

Computation and Language · Computer Science 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…

Machine Learning · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computation and Language · Computer Science 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…

Numerical Analysis · Mathematics 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Computation and Language · Computer Science 2026-03-17 Lianghui Zhu , Yuxin Fang , Bencheng Liao , Shijie Wang , Tianheng Cheng , Zilong Huang , Chen Chen , Lai Wei , Yutao Zeng , Ya Wang , Yi Lin , Yu Li , Xinggang Wang

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…

Numerical Analysis · Mathematics 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…

Machine Learning · Statistics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computation and Language · Computer Science 2025-04-01 Zhengyi Zhao , Shubo Zhang , Zezhong Wang , Bin Liang , Binyang Li , Kam-Fai Wong