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Second-order information is valuable for many applications but challenging to compute. Several works focus on computing or approximating Hessian diagonals, but even this simplification introduces significant additional costs compared to…

Machine Learning · Computer Science 2024-07-08 Mohamed Elsayed , Homayoon Farrahi , Felix Dangel , A. Rupam Mahmood

Large Language Models (LLMs) are powerful linguistic engines but remain susceptible to hallucinations: plausible-sounding outputs that are factually incorrect or unsupported. In this work, we present a mathematically grounded framework to…

Computation and Language · Computer Science 2025-11-20 Moses Kiprono

Hierarchical Text Classification (HTC) aims to assign texts to structured label hierarchies; however, it faces challenges due to data scarcity and model complexity. This study explores the feasibility of using black box Large Language…

Computation and Language · Computer Science 2025-08-07 Kosuke Yoshimura , Hisashi Kashima

Linear mixed models (LMMs) are used extensively to model dependecies of observations in linear regression and are used extensively in many application areas. Parameter estimation for LMMs can be computationally prohibitive on big data.…

Machine Learning · Statistics 2019-03-08 Zilong Tan , Kimberly Roche , Xiang Zhou , Sayan Mukherjee

Large language models (LLMs) now achieve near-human performance on standard math word problem benchmarks (e.g., GSM8K), yet their true reasoning ability remains disputed. A key concern is that models often produce confident, yet unfounded,…

Computation and Language · Computer Science 2025-05-21 Jialin Ouyang

Large language models (LLMs) have shown impressive capabilities across various natural language tasks. However, evaluating their alignment with human preferences remains a challenge. To this end, we propose a comprehensive human evaluation…

Computation and Language · Computer Science 2023-11-10 Shuyi Xie , Wenlin Yao , Yong Dai , Shaobo Wang , Donlin Zhou , Lifeng Jin , Xinhua Feng , Pengzhi Wei , Yujie Lin , Zhichao Hu , Dong Yu , Zhengyou Zhang , Jing Nie , Yuhong Liu

We present an extensible software framework, hIPPYlib, for solution of large-scale deterministic and Bayesian inverse problems governed by partial differential equations (PDEs) with infinite-dimensional parameter fields (which are…

Numerical Analysis · Mathematics 2020-09-01 Umberto Villa , Noemi Petra , Omar Ghattas

Recent legislation has led to interest in machine unlearning, i.e., removing specific training samples from a predictive model as if they never existed in the training dataset. Unlearning may also be required due to corrupted/adversarial…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Ronak Mehta , Sourav Pal , Vikas Singh , Sathya N. Ravi

Invoking external tools enables Large Language Models (LLMs) to perform complex, real-world tasks, yet selecting the correct tool from large, hierarchically-structured libraries remains a significant challenge. The limited context windows…

Artificial Intelligence · Computer Science 2026-01-09 Wenpeng Xing , Zhipeng Chen , Changting Lin , Meng Han

Graph model generation from natural language description is an important task with many applications in software engineering. With the rise of large language models (LLMs), there is a growing interest in using LLMs for graph model…

Software Engineering · Computer Science 2025-08-04 Boqi Chen , Ou Wei , Bingzhou Zheng , Gunter Mussbacher

Hessian-free (HF) optimization has been shown to effectively train deep autoencoders (Martens, 2010). In this paper, we aim to accelerate HF training of autoencoders by reducing the amount of data used in training. HF utilizes the conjugate…

Machine Learning · Computer Science 2025-04-21 Ibrahim Emirahmetoglu , David E. Stewart

With the growth of large language models, now incorporating billions of parameters, the hardware prerequisites for their training and deployment have seen a corresponding increase. Although existing tools facilitate model parallelization…

Machine Learning · Computer Science 2023-12-07 Matthew Choi , Muhammad Adil Asif , John Willes , David Emerson

While large language models (LLMs) excel in various natural language tasks in English, their performance in lower-resourced languages like Hebrew, especially for generative tasks such as abstractive summarization, remains unclear. The high…

Computation and Language · Computer Science 2025-07-14 Tzuf Paz-Argaman , Itai Mondshine , Asaf Achi Mordechai , Reut Tsarfaty

Large Language Models (LLMs) face deployment challenges due to high computational costs, and while Post-Training Quantization (PTQ) offers a solution, existing rotation-based methods struggle at very low bit-widths like 2-bit. We introduce…

Machine Learning · Computer Science 2025-08-15 Euntae Choi , Sumin Song , Woosang Lim , Sungjoo Yoo

In hybrid HMM based speech recognition, LSTM language models have been widely applied and achieved large improvements. The theoretical capability of modeling any unlimited context suggests that no recombination should be applied in…

Audio and Speech Processing · Electrical Eng. & Systems 2020-04-03 Wei Zhou , Ralf Schlüter , Hermann Ney

Hidden Markov Models (HMMs) are foundational tools for modeling sequential data with latent Markovian structure, yet fitting them to real-world data remains computationally challenging. In this work, we show that pre-trained large language…

Machine Learning · Computer Science 2026-04-27 Yijia Dai , Zhaolin Gao , Yahya Sattar , Sarah Dean , Jennifer J. Sun

Large Language Models (LLMs) have revolutionized natural language processing by understanding and generating human-like text. However, the increasing demand for more sophisticated LLMs presents significant computational challenges due to…

Computation and Language · Computer Science 2025-01-14 Ze Yang , Yihong Jin , Xinhe Xu

While multimodal large language models (MLLMs) have made significant strides in natural image understanding, their ability to perceive and reason over hyperspectral image (HSI) remains underexplored, which is a vital modality in remote…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Xinyu Zhang , Zurong Mai , Qingmei Li , Zjin Liao , Yibin Wen , Yuhang Chen , Xiaoya Fan , Chan Tsz Ho , Bi Tianyuan , Haoyuan Liang , Ruifeng Su , Zihao Qian , Juepeng Zheng , Jianxi Huang , Yutong Lu , Haohuan Fu

In order to find hyperparameters for a machine learning model, algorithms such as grid search or random search are used over the space of possible values of the models hyperparameters. These search algorithms opt the solution that minimizes…

Machine Learning · Statistics 2018-03-30 Amir Hossein Akhavan Rahnama , Mehdi Toloo , Nezer Jacob Zaidenberg

An explicit formula to approximate the diagonal entries of the Hessian is introduced. When the derivative-free technique called \emph{generalized centered simplex gradient} is used to approximate the gradient, then the formula can be…

Numerical Analysis · Mathematics 2021-04-27 Gabriel Jarry-Bolduc