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We consider the proximal gradient method on Riemannian manifolds for functions that are possibly not geodesically convex. Starting from the forward-backward-splitting, we define an intrinsic variant of the proximal gradient method that uses…

最优化与控制 · 数学 2025-06-12 Ronny Bergmann , Hajg Jasa , Paula John , Max Pfeffer

The recently introduced Gradient Methods with Memory use a subset of the past oracle information to create an accurate model of the objective function that enables them to surpass the Gradient Method in practical performance. The model…

最优化与控制 · 数学 2024-01-30 Mihai I. Florea

Stochastic gradient methods are scalable for solving large-scale optimization problems that involve empirical expectations of loss functions. Existing results mainly apply to optimization problems where the objectives are one- or two-level…

最优化与控制 · 数学 2018-01-15 Shuoguang Yang , Mengdi Wang , Ethan X. Fang

Large Language Models (LLMs) have become indispensable for evaluating writing. However, text feedback they provide is often unintelligible, generic, and not specific to user criteria. Inspired by structured rubrics in education and…

人机交互 · 计算机科学 2026-02-16 Jingwen Bai , Wei Soon Cheong , Philippe Muller , Brian Y Lim

Ensuring faithful interpretability in large language models is imperative for trustworthy and reliable AI. A key obstacle is self-repair, a phenomenon where networks compensate for reduced signal in one component by amplifying others,…

Interpretability in black-box dense retrievers remains a central challenge in Retrieval-Augmented Generation (RAG). Understanding how queries and documents semantically interact is critical for diagnosing retrieval behavior and improving…

信息检索 · 计算机科学 2026-01-29 Yash Saxena , Ankur Padia , Kalpa Gunaratna , Manas Gaur

Discrete gradient methods are geometric integration techniques that can preserve the dissipative structure of gradient flows. Due to the monotonic decay of the function values, they are well suited for general convex and nonconvex…

The interest in complex deep neural networks for computer vision applications is increasing. This leads to the need for improving the interpretable capabilities of these models. Recent explanation methods present visualizations of the…

机器学习 · 计算机科学 2020-04-24 Dan Valle , Tiago Pimentel , Adriano Veloso

Improving the interpretability of geospatial artificial intelligence (GeoAI) models has become critically important to open the "black box" of complex AI models, such as deep learning. This paper compares popular saliency map generation…

计算机视觉与模式识别 · 计算机科学 2023-03-20 Chia-Yu Hsu , Wenwen Li

As AI systems are used in high-stakes applications, ensuring interpretability is crucial. Mechanistic Interpretability (MI) aims to reverse-engineer neural networks by extracting human-understandable algorithms to explain their behavior.…

机器学习 · 计算机科学 2025-03-03 Maxime Méloux , Silviu Maniu , François Portet , Maxime Peyrard

Equilibrium computation on Riemannian manifolds provides a unifying framework for numerous problems in machine learning and data analytics. One of the simplest yet most fundamental methods is Riemannian gradient descent (RGD). While its…

Graph-based Retrieval-Augmented Generation (RAG) has proven effective in integrating external knowledge into large language models (LLMs), improving their factual accuracy, adaptability, interpretability, and trustworthiness. A number of…

This paper is an analysis of the different methods proposed to achieve AGI, including Human Brain Emulation, AIXI and Integrated Cognitive Architecture. First, the definition of AGI as used in this paper has been defined, and its…

人工智能 · 计算机科学 2022-02-08 Soumil Rathi

Independent Component Analysis (ICA) is a popular model for blind signal separation. The ICA model assumes that a number of independent source signals are linearly mixed to form the observed signals. We propose a new algorithm, PEGI (for…

机器学习 · 计算机科学 2015-10-02 James Voss , Mikhail Belkin , Luis Rademacher

We survey incremental methods for minimizing a sum $\sum_{i=1}^mf_i(x)$ consisting of a large number of convex component functions $f_i$. Our methods consist of iterations applied to single components, and have proved very effective in…

系统与控制 · 计算机科学 2017-12-21 Dimitri P. Bertsekas

Computing the gradients of a rendering process is paramount for diverse applications in computer vision and graphics. However, accurate computation of these gradients is challenging due to discontinuities and rendering approximations,…

计算机视觉与模式识别 · 计算机科学 2024-07-25 Stanislav Pidhorskyi , Tomas Simon , Gabriel Schwartz , He Wen , Yaser Sheikh , Jason Saragih

Today's deep learning methods focus on how to design the most appropriate objective functions so that the prediction results of the model can be closest to the ground truth. Meanwhile, an appropriate architecture that can facilitate…

计算机视觉与模式识别 · 计算机科学 2024-03-01 Chien-Yao Wang , I-Hau Yeh , Hong-Yuan Mark Liao

Scene Graph Generation (SGG) suffers from a long-tailed distribution, where a few predicate classes dominate while many others are underrepresented, leading to biased models that underperform on rare relations. Unbiased-SGG methods address…

计算机视觉与模式识别 · 计算机科学 2026-01-14 Runfeng Qu , Ole Hall , Pia K Bideau , Julie Ouerfelli-Ethier , Martin Rolfs , Klaus Obermayer , Olaf Hellwich

This paper introduces a broad class of Mirror Descent (MD) and Generalized Exponentiated Gradient (GEG) algorithms derived from trace-form entropies defined via deformed logarithms. Leveraging these generalized entropies yields MD \& GEG…

机器学习 · 计算机科学 2025-10-29 Andrzej Cichocki , Toshihisa Tanaka , Frank Nielsen , Sergio Cruces

The optimization algorithms are crucial in training physics-informed neural networks (PINNs), as unsuitable methods may lead to poor solutions. Compared to the common gradient descent (GD) algorithm, implicit gradient descent (IGD)…

机器学习 · 计算机科学 2025-08-04 Xianliang Xu , Ting Du , Wang Kong , Bin Shan , Ye Li , Zhongyi Huang
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