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We introduce a novel framework for decentralized projection-free optimization, extending projection-free methods to a broader class of upper-linearizable functions. Our approach leverages decentralized optimization techniques with the…

最优化与控制 · 数学 2026-02-25 Yiyang Lu , Mohammad Pedramfar , Vaneet Aggarwal

We study the problem of distributed zero-order optimization for a class of strongly convex functions. They are formed by the average of local objectives, associated to different nodes in a prescribed network of connections. We propose a…

最优化与控制 · 数学 2021-06-29 Arya Akhavan , Massimiliano Pontil , Alexandre B. Tsybakov

In recent years, the softmax model and its fast approximations have become the de-facto loss functions for deep neural networks when dealing with multi-class prediction. This loss has been extended to language modeling and recommendation,…

机器学习 · 统计学 2019-09-19 Ugo Tanielian , Flavian Vasile

It is often desired that ordinal regression models yield unimodal predictions. However, in many recent works this characteristic is either absent, or implemented using soft targets, which do not guarantee unimodal outputs at inference. In…

机器学习 · 统计学 2021-11-19 Uri Shaham , Igal Zaidman , Jonathan Svirsky

Most methods tackle zero-shot video classification by aligning visual-semantic representations within seen classes, which limits generalization to unseen classes. To enhance model generalizability, this paper presents an end-to-end…

计算机视觉与模式识别 · 计算机科学 2022-03-30 Shi Pu , Kaili Zhao , Mao Zheng

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

机器学习 · 计算机科学 2024-10-16 Yuntian Gu , Xuzheng Chen

The foundational concept of Max-Margin in machine learning is ill-posed for output spaces with more than two labels such as in structured prediction. In this paper, we show that the Max-Margin loss can only be consistent to the…

机器学习 · 计算机科学 2022-03-22 Alex Nowak-Vila , Alessandro Rudi , Francis Bach

Learning recommender systems with multi-class optimization objective is a prevalent setting in recommendation. However, as observed user feedback often accounts for a tiny fraction of the entire item pool, the standard Softmax loss tends to…

信息检索 · 计算机科学 2024-10-10 Hao Zhang , Mingyue Cheng , Qi Liu , Yucong Luo , Rui Li , Enhong Chen

The 01 loss is robust to outliers and tolerant to noisy data compared to convex loss functions. We conjecture that the 01 loss may also be more robust to adversarial attacks. To study this empirically we have developed a stochastic…

机器学习 · 计算机科学 2020-02-11 Yunzhe Xue , Meiyan Xie , Usman Roshan

In this paper, we propose a new method based on the Sliding Algorithm from Lan(2016, 2019) for the convex composite optimization problem that includes two terms: smooth one and non-smooth one. Our method uses the stochastic noised…

最优化与控制 · 数学 2021-06-16 Aleksandr Beznosikov , Eduard Gorbunov , Alexander Gasnikov

We investigate the convergence properties of a class of iterative algorithms designed to minimize a potentially non-smooth and noisy objective function, which may be algebraically intractable and whose values may be obtained as the output…

统计计算 · 统计学 2025-12-04 Christophe Andrieu , Nicolas Chopin , Ettore Fincato , Mathieu Gerber

Learning systems match predicted scores to observations over some domain. Often, it is critical to produce accurate predictions in some subset (or region) of the domain, yet less important to accurately predict in other regions. We…

机器学习 · 计算机科学 2025-06-11 Gil I. Shamir , Manfred K. Warmuth

The concept of a minimax classifier is well-established in statistical decision theory, but its implementation via neural networks remains challenging, particularly in scenarios with imbalanced training data having a limited number of…

机器学习 · 计算机科学 2026-01-07 Hansung Choi , Daewon Seo

Zero-shot learning extends the conventional object classification to the unseen class recognition by introducing semantic representations of classes. Existing approaches predominantly focus on learning the proper mapping function for…

计算机视觉与模式识别 · 计算机科学 2019-12-03 Yizhe Zhu , Jianwen Xie , Zhiqiang Tang , Xi Peng , Ahmed Elgammal

Integrating hard constraints into deep learning is essential for safety-critical systems. Yet existing constructive layers that project predictions onto constraint boundaries face a fundamental bottleneck: gradient saturation. By collapsing…

机器学习 · 计算机科学 2026-02-04 Philipp J. Schneider , Daniel Kuhn

Bilevel optimization is an important class of optimization problems where one optimization problem is nested within another. While various methods have emerged to address unconstrained general bilevel optimization problems, there has been a…

最优化与控制 · 数学 2024-03-15 Nazanin Abolfazli , Ruichen Jiang , Aryan Mokhtari , Erfan Yazdandoost Hamedani

Soft-argmax operation is commonly adopted in detection-based methods to localize the target position in a differentiable manner. However, training the neural network with soft-argmax makes the shape of the probability map unconstrained.…

计算机视觉与模式识别 · 计算机科学 2021-10-19 Jiefeng Li , Tong Chen , Ruiqi Shi , Yujing Lou , Yong-Lu Li , Cewu Lu

We present a framework for discriminative sequence classification where the learner works directly in the high dimensional predictor space of all subsequences in the training set. This is possible by employing a new coordinate-descent…

机器学习 · 计算机科学 2010-08-04 Georgiana Ifrim , Carsten Wiuf

Advancing loss function design is pivotal for optimizing neural network training and performance. This work introduces Random Linear Projections (RLP) loss, a novel approach that enhances training efficiency by leveraging geometric…

机器学习 · 计算机科学 2024-06-03 Shyam Venkatasubramanian , Ahmed Aloui , Vahid Tarokh

This paper rethinks Sharpness-Aware Minimization (SAM), which is originally formulated as a zero-sum game where the weights of a network and a bounded perturbation try to minimize/maximize, respectively, the same differentiable loss. To…

机器学习 · 计算机科学 2024-07-19 Wanyun Xie , Fabian Latorre , Kimon Antonakopoulos , Thomas Pethick , Volkan Cevher