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Model merging has recently gained attention as an economical and scalable approach to incorporate task-specific weights from various tasks into a unified multi-task model. For example, in Task Arithmetic (TA), adding the fine-tuned weights…

Machine Learning · Computer Science 2025-01-10 Feng Xiong , Runxi Cheng , Wang Chen , Zhanqiu Zhang , Yiwen Guo , Chun Yuan , Ruifeng Xu

Feed-forward neural networks can be understood as a combination of an intermediate representation and a linear hypothesis. While most previous works aim to diversify the representations, we explore the complementary direction by performing…

Machine Learning · Computer Science 2019-10-24 Han Zhao , Yao-Hung Hubert Tsai , Ruslan Salakhutdinov , Geoffrey J. Gordon

We deal with the shape reconstruction of inclusions in elastic bodies. For solving this inverse problem in practice, data fitting functionals are used. Those work better than the rigorous monotonicity methods from [5], but have no…

Numerical Analysis · Mathematics 2022-12-13 Sarah Eberle , Bastian Harrach

This paper advances the computational efficiency of Deep Hedging frameworks through the novel integration of Kronecker-Factored Approximate Curvature (K-FAC) optimization. While recent literature has established Deep Hedging as a…

Statistical Finance · Quantitative Finance 2024-11-25 Tsogt-Ochir Enkhbayar

We propose an efficient method for approximating natural gradient descent in neural networks which we call Kronecker-Factored Approximate Curvature (K-FAC). K-FAC is based on an efficiently invertible approximation of a neural network's…

Machine Learning · Computer Science 2020-06-09 James Martens , Roger Grosse

Nonnegative Tucker Factorization (NTF) minimizes the euclidean distance or Kullback-Leibler divergence between the original data and its low-rank approximation which often suffers from grossly corruptions or outliers and the neglect of…

Artificial Intelligence · Computer Science 2022-11-09 Jianyu Wang , Linruize Tang , Jie Chen , Jingdong Chen

Task vector composition has emerged as a promising paradigm for editing pre-trained models, enabling model merging through addition and unlearning through subtraction. Fine-tuning in the tangent space of a pre-trained model (linear…

Machine Learning · Computer Science 2026-05-25 Thomas Sommariva , Francesca Morandi , Simone Calderara , Angelo Porrello

Task arithmetic, representing downstream tasks through linear operations on task vectors, has emerged as a simple yet powerful paradigm for transferring knowledge across diverse settings. However, maintaining a large collection of task…

Machine Learning · Computer Science 2025-10-10 Siqi Zeng , Yifei He , Meitong Liu , Weiqiu You , Yifan Hao , Yao-Hung Hubert Tsai , Makoto Yamada , Han Zhao

Existing methods of pruning deep neural networks focus on removing unnecessary parameters of the trained network and fine tuning the model afterwards to find a good solution that recovers the initial performance of the trained model. Unlike…

Machine Learning · Computer Science 2021-11-17 Abdolghani Ebrahimi , Diego Klabjan

Multi-dimensional data completion is a critical problem in computational sciences, particularly in domains such as computer vision, signal processing, and scientific computing. Existing methods typically leverage either global low-rank…

Machine Learning · Computer Science 2025-08-07 Wenwu Gong , Lili Yang

Task arithmetic refers to editing the pre-trained model by adding a weighted sum of task vectors, each of which is the weight update from the pre-trained model to fine-tuned models for certain tasks. This approach recently gained attention…

Machine Learning · Computer Science 2025-05-27 Hongkang Li , Yihua Zhang , Shuai Zhang , Meng Wang , Sijia Liu , Pin-Yu Chen

Our goal is to develop a principled and general algorithmic framework for task-driven estimation and control for robotic systems. State-of-the-art approaches for controlling robotic systems typically rely heavily on accurately estimating…

Optimization and Control · Mathematics 2019-05-08 Vincent Pacelli , Anirudha Majumdar

Kronecker-factored approximate curvature (KFAC) is arguably one of the most prominent curvature approximations in deep learning. Its applications range from optimization to Bayesian deep learning, training data attribution with influence…

Machine Learning · Computer Science 2025-07-08 Felix Dangel , Bálint Mucsányi , Tobias Weber , Runa Eschenhagen

We present an accurate and efficient real-space Density Functional Theory (DFT) framework for the ab-initio study of non-orthogonal crystal systems. Specifically, employing a local reformulation of the electrostatics, we develop a novel…

Computational Physics · Physics 2018-05-09 Abhiraj Sharma , Phanish Suryanarayana

Deep learning using neural networks is an effective technique for generating models of complex data. However, training such models can be expensive when networks have large model capacity resulting from a large number of layers and nodes.…

Machine Learning · Computer Science 2023-01-19 Jarom D. Hogue , Robert M. Kirby , Akil Narayan

Given its widespread application in machine learning and optimization, the Kronecker product emerges as a pivotal linear algebra operator. However, its computational demands render it an expensive operation, leading to heightened costs in…

Data Structures and Algorithms · Computer Science 2024-02-14 Yeqi Gao , Zhao Song , Ruizhe Zhang

In representation learning and non-linear dimension reduction, there is a huge interest to learn the 'disentangled' latent variables, where each sub-coordinate almost uniquely controls a facet of the observed data. While many regularization…

Machine Learning · Statistics 2019-09-09 Yue Bai , Leo L. Duan

A key challenge for gradient based optimization methods in model-free reinforcement learning is to develop an approach that is sample efficient and has low variance. In this work, we apply Kronecker-factored curvature estimation technique…

Machine Learning · Computer Science 2018-12-12 Mohammad Firouzi

Many clustering algorithms when the data are curves or functions have been recently proposed. However, the presence of contamination in the sample of curves can influence the performance of most of them. In this work we propose a robust,…

When working with textual data, a natural application of disentangled representations is fair classification where the goal is to make predictions without being biased (or influenced) by sensitive attributes that may be present in the data…

Computation and Language · Computer Science 2022-10-10 Pierre Colombo , Guillaume Staerman , Nathan Noiry , Pablo Piantanida
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