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Continual fine-tuning of Large Language Models (LLMs) is hampered by the trade-off between efficiency and expressiveness. Low-Rank Adaptation (LoRA) offers efficiency but constrains the model's ability to learn new tasks and transfer…

Machine Learning · Computer Science 2025-07-08 Chenxu Wang , Yilin Lyu , Zicheng Sun , Liping Jing

We consider the problem of recovering of continuous multi-dimensional functions from the noisy observations over the regular grid. Our focus is at the adaptive estimation in the case when the function can be well recovered using a linear…

Statistics Theory · Mathematics 2009-03-06 Anatoli Iouditski , Arkadii S. Nemirovski

We propose Neural Gradient Learning (NGL), a deep learning approach to learn gradient vectors with consistent orientation from 3D point clouds for normal estimation. It has excellent gradient approximation properties for the underlying…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Qing Li , Huifang Feng , Kanle Shi , Yi Fang , Yu-Shen Liu , Zhizhong Han

Optimization problems with continuous data appear in, e.g., robust machine learning, functional data analysis, and variational inference. Here, the target function is given as an integral over a family of (continuously) indexed target…

Machine Learning · Computer Science 2023-11-01 Kexin Jin , Jonas Latz , Chenguang Liu , Carola-Bibiane Schönlieb

Object detection is a fundamental task for robots to operate in unstructured environments. Today, there are several deep learning algorithms that solve this task with remarkable performance. Unfortunately, training such systems requires…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Federico Ceola , Elisa Maiettini , Giulia Pasquale , Lorenzo Rosasco , Lorenzo Natale

Orientation learning plays a pivotal role in many tasks. However, the rotation group SO(3) is a Riemannian manifold. As a result, the distortion caused by non-Euclidean geometric nature introduces difficulties to the incorporation of local…

Robotics · Computer Science 2025-10-10 Gaofeng Li , Peisen Xu , Ruize Wang , Qi Ye , Jiming Chen , Dezhen Song , Yanlong Huang

The problem of extending a function $f$ defined on a training data $\mathcal{C}$ on an unknown manifold $\mathbb{X}$ to the entire manifold and a tubular neighborhood of this manifold is considered in this paper. For $\mathbb{X}$ embedded…

Machine Learning · Computer Science 2016-07-26 Charles K. Chui , H. N. Mhaskar

Variational inequalities have recently attracted considerable interest in machine learning as a flexible paradigm for models that go beyond ordinary loss function minimization (such as generative adversarial networks and related deep…

Optimization and Control · Mathematics 2020-02-12 Yu-Guan Hsieh , Franck Iutzeler , Jérôme Malick , Panayotis Mertikopoulos

In label-noise learning, estimating the transition matrix has attracted more and more attention as the matrix plays an important role in building statistically consistent classifiers. However, it is very challenging to estimate the…

Machine Learning · Computer Science 2022-06-08 De Cheng , Tongliang Liu , Yixiong Ning , Nannan Wang , Bo Han , Gang Niu , Xinbo Gao , Masashi Sugiyama

One of the challenges in modeling cognitive events from electroencephalogram (EEG) data is finding representations that are invariant to inter- and intra-subject differences, as well as to inherent noise associated with such data. Herein,…

Machine Learning · Computer Science 2016-03-02 Pouya Bashivan , Irina Rish , Mohammed Yeasin , Noel Codella

A central goal of meta-learning is to find a learning rule that enables fast adaptation across a set of tasks, by learning the appropriate inductive bias for that set. Most meta-learning algorithms try to find a \textit{global} learning…

Machine Learning · Computer Science 2020-02-11 Wonjoon Goo , Scott Niekum

An ongoing challenge in neuromorphic computing is to devise general and computationally efficient models of inference and learning which are compatible with the spatial and temporal constraints of the brain. One increasingly popular and…

Neural and Evolutionary Computing · Computer Science 2019-05-06 Emre Neftci , Charles Augustine , Somnath Paul , Georgios Detorakis

Conflict learning algorithms are an important component of modern MIP and CP solvers. But strong conflict information is typically gained by depth-first search. While this is the natural mode for CP solving, it is not for MIP solving. Rapid…

Optimization and Control · Mathematics 2019-02-08 Timo Berthold , Peter J. Stuckey , Jakob Witzig

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

Machine Learning · Statistics 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

When the predicted sequence length exceeds the length seen during training, the transformer's inference accuracy diminishes. Existing relative position encoding methods, such as those based on the ALiBi technique, address the length…

Machine Learning · Computer Science 2024-03-27 Weiguo Gao

In neural networks, continual learning results in gradient interference among sequential tasks, leading to catastrophic forgetting of old tasks while learning new ones. This issue is addressed in recent methods by storing the important…

Machine Learning · Computer Science 2023-02-06 Gobinda Saha , Kaushik Roy

We propose a novel deep learning method for local self-supervised representation learning that does not require labels nor end-to-end backpropagation but exploits the natural order in data instead. Inspired by the observation that…

Machine Learning · Computer Science 2020-01-28 Sindy Löwe , Peter O'Connor , Bastiaan S. Veeling

Measurement noise is an integral part while collecting data of a physical process. Thus, noise removal is necessary to draw conclusions from these data, and it often becomes essential to construct dynamical models using these data. We…

Machine Learning · Computer Science 2022-05-20 Pawan Goyal , Peter Benner

An algorithm based on the interior-point methodology for solving continuous nonlinearly constrained optimization problems is proposed, analyzed, and tested. The distinguishing feature of the algorithm is that it presumes that only noisy…

Optimization and Control · Mathematics 2025-02-18 Frank E. Curtis , Shima Dezfulian , Andreas Waechter

Deep representation learning has become one of the most widely adopted approaches for visual search, recommendation, and identification. Retrieval of such representations from a large database is however computationally challenging.…

Machine Learning · Computer Science 2020-04-14 Biswajit Paria , Chih-Kuan Yeh , Ian E. H. Yen , Ning Xu , Pradeep Ravikumar , Barnabás Póczos