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There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic…

Machine Learning · Computer Science 2025-03-25 Andrei V. Konstantinov , Lev V. Utkin

We demonstrate that almost all non-parametric dimensionality reduction methods can be expressed by a simple procedure: regularized loss minimization plus singular value truncation. By distinguishing the role of the loss and regularizer in…

Machine Learning · Computer Science 2012-07-03 Yaoliang Yu , James Neufeld , Ryan Kiros , Xinhua Zhang , Dale Schuurmans

Acquisition of training data for the standard semantic segmentation is expensive if requiring that each pixel is labeled. Yet, current methods significantly deteriorate in weakly supervised settings, e.g. where a fraction of pixels is…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Dmitrii Marin , Yuri Boykov

We develop an algorithm for systematic design of a large artificial neural network using a progression property. We find that some non-linear functions, such as the rectifier linear unit and its derivatives, hold the property. The…

Neural and Evolutionary Computing · Computer Science 2017-10-24 Saikat Chatterjee , Alireza M. Javid , Mostafa Sadeghi , Partha P. Mitra , Mikael Skoglund

While the Implicit Bias(or Implicit Regularization) of standard loss functions has been studied, the optimization geometry induced by discriminative metric-learning objectives remains largely unexplored.To the best of our knowledge, this…

Machine Learning · Computer Science 2026-04-13 Jiawen Li

Natural gradients have been widely used in optimization of loss functionals over probability space, with important examples such as Fisher-Rao gradient descent for Kullback-Leibler divergence, Wasserstein gradient descent for…

Numerical Analysis · Mathematics 2020-06-30 Lexing Ying

Previous research has shown that constraining the gradient of loss function with respect to model-predicted probabilities can enhance the model robustness against noisy labels. These methods typically specify a fixed optimal threshold for…

Machine Learning · Computer Science 2024-12-24 Xichen Ye , Yifan Wu , Weizhong Zhang , Xiaoqiang Li , Yifan Chen , Cheng Jin

Mitigating the negative impact of noisy labels has been aperennial issue in supervised learning. Robust loss functions have emerged as a prevalent solution to this problem. In this work, we introduce the Variation Ratio as a novel property…

Machine Learning · Computer Science 2025-11-18 Jialiang Wang , Xiong Zhou , Xianming Liu , Gangfeng Hu , Deming Zhai , Junjun Jiang , Haoliang Li

In this paper, we introduce harmonic loss as an alternative supervisory signal for training neural networks and large language models (LLMs). Harmonic loss differs from standard cross-entropy loss by (a) replacing the usual SoftMax…

Machine Learning · Computer Science 2025-07-11 David D. Baek , Ziming Liu , Riya Tyagi , Max Tegmark

Adversarial training is an effective methodology for training deep neural networks that are robust against adversarial, norm-bounded perturbations. However, the computational cost of adversarial training grows prohibitively as the size of…

Labelling of data for supervised learning can be costly and time-consuming and the risk of incorporating label noise in large data sets is imminent. When training a flexible discriminative model using a strictly proper loss, such noise will…

Machine Learning · Statistics 2022-05-13 Amanda Olmin , Fredrik Lindsten

With the growing attention on learning-to-learn new tasks using only a few examples, meta-learning has been widely used in numerous problems such as few-shot classification, reinforcement learning, and domain generalization. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Hung-Yu Tseng , Yi-Wen Chen , Yi-Hsuan Tsai , Sifei Liu , Yen-Yu Lin , Ming-Hsuan Yang

We introduce novel variants of momentum by incorporating the variance of the stochastic loss function. The variance characterizes the confidence or uncertainty of the local features of the averaged loss surface across the i.i.d. subsets of…

Machine Learning · Computer Science 2019-05-31 Vineeth S. Bhaskara , Sneha Desai

We propose a method for specializing deep detectors and trackers to restricted settings. Our approach is designed with the following goals in mind: (a) Improving accuracy in restricted domains; (b) preventing overfitting to new domains and…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Dotan Kaufman , Koby Bibas , Eran Borenstein , Michael Chertok , Tal Hassner

In the last several years, the intimate connection between convex optimization and learning problems, in both statistical and sequential frameworks, has shifted the focus of algorithmic machine learning to examine this interplay. In…

Machine Learning · Computer Science 2014-07-23 Mehrdad Mahdavi

Typically, loss functions, regularization mechanisms and other important aspects of training parametric models are chosen heuristically from a limited set of options. In this paper, we take the first step towards automating this process,…

The adoption of deep learning across various fields has been extensive, yet there is a lack of focus on evaluating the performance of deep learning pipelines. Typically, with the increased use of large datasets and complex models, the…

Machine Learning · Computer Science 2024-05-21 Yewen Fan , Nian Si , Xiangchen Song , Kun Zhang

Stochastic gradient algorithms are the main focus of large-scale optimization problems and led to important successes in the recent advancement of the deep learning algorithms. The convergence of SGD depends on the careful choice of…

Machine Learning · Computer Science 2017-03-03 Caglar Gulcehre , Jose Sotelo , Marcin Moczulski , Yoshua Bengio

Optimization is often cast as a deterministic problem, where the solution is found through some iterative procedure such as gradient descent. However, when training neural networks the loss function changes over (iteration) time due to the…

Machine Learning · Computer Science 2025-03-25 Aram Davtyan , Sepehr Sameni , Llukman Cerkezi , Givi Meishvilli , Adam Bielski , Paolo Favaro

The data consistency for the physical forward model is crucial in inverse problems, especially in MR imaging reconstruction. The standard way is to unroll an iterative algorithm into a neural network with a forward model embedded. The…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Guanxiong Luo , Mengmeng Kuang , Peng Cao