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We study unconstrained Online Linear Optimization with Lipschitz losses. Motivated by the pursuit of instance optimality, we propose a new algorithm that simultaneously achieves ($i$) the AdaGrad-style second order gradient adaptivity; and…

机器学习 · 计算机科学 2024-02-23 Zhiyu Zhang , Heng Yang , Ashok Cutkosky , Ioannis Ch. Paschalidis

We study {\em online} active learning of homogeneous halfspaces in $\mathbb{R}^d$ with adversarial noise where the overall probability of a noisy label is constrained to be at most $\nu$. Our main contribution is a Perceptron-like online…

机器学习 · 计算机科学 2021-06-24 Jie Shen

We consider the problem of learning linear operators under squared loss between two infinite-dimensional Hilbert spaces in the online setting. We show that the class of linear operators with uniformly bounded $p$-Schatten norm is online…

机器学习 · 统计学 2024-01-26 Vinod Raman , Unique Subedi , Ambuj Tewari

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

机器学习 · 计算机科学 2016-09-20 Arthur Flajolet , Patrick Jaillet

Intelligent real-world systems critically depend on expressive information about their system state and changing operation conditions, e.g., due to variation in temperature, location, wear, or aging. To provide this information, online…

系统与控制 · 电气工程与系统科学 2024-09-17 Jan-Hendrik Ewering , Björn Volkmann , Simon F. G. Ehlers , Thomas Seel , Michael Meindl

We demonstrate a compactness result holding broadly across supervised learning with a general class of loss functions: Any hypothesis class $H$ is learnable with transductive sample complexity $m$ precisely when all of its finite…

机器学习 · 计算机科学 2024-10-31 Julian Asilis , Siddartha Devic , Shaddin Dughmi , Vatsal Sharan , Shang-Hua Teng

We discuss how inference can be performed when data are sampled from the non-ergodic phase of systems with multiple attractors. We take as model system the finite connectivity Hopfield model in the memory phase and suggest a cavity method…

无序系统与神经网络 · 物理学 2013-09-03 A. Braunstein , A. Ramezanpour , R. Zecchina , P. Zhang

Classification margins are commonly used to estimate the generalization ability of machine learning models. We present an empirical study of these margins in artificial neural networks. A global estimate of margin size is usually used in…

机器学习 · 计算机科学 2023-02-15 Marthinus W. Theunissen , Coenraad Mouton , Marelie H. Davel

This paper presents a novel online learning method that aims at finding a separator hyperplane between data points labelled as either positive or negative. Since weights and biases of artificial neurons can directly be related to…

机器学习 · 计算机科学 2023-09-13 Ákos Hajnal

We study the behavior of error bounds for multiclass classification under suitable margin conditions. For a wide variety of methods we prove that the classification error under a hard-margin condition decreases exponentially fast without…

机器学习 · 统计学 2022-02-04 Stefano Vigogna , Giacomo Meanti , Ernesto De Vito , Lorenzo Rosasco

We consider the fundamental problem of learning a single neuron $x \mapsto\sigma(w^\top x)$ using standard gradient methods. As opposed to previous works, which considered specific (and not always realistic) input distributions and…

机器学习 · 计算机科学 2022-03-01 Gilad Yehudai , Ohad Shamir

Recently, the use of bio-inspired learning techniques such as Hebbian learning and its closely-related Spike-Timing-Dependent Plasticity (STDP) variant have drawn significant attention for the design of compute-efficient AI systems that can…

神经与进化计算 · 计算机科学 2024-11-19 Ali Safa

Many applications of deep learning for image generation use perceptual losses for either training or fine-tuning of the generator networks. The use of perceptual loss however incurs repeated forward-backward passes in a large image…

机器学习 · 计算机科学 2021-05-06 Dmitry Nikulin , Roman Suvorov , Aleksei Ivakhnenko , Victor Lempitsky

Humans can learn several tasks in succession with minimal mutual interference but perform more poorly when trained on multiple tasks at once. The opposite is true for standard deep neural networks. Here, we propose novel computational…

神经元与认知 · 定量生物学 2022-09-07 Timo Flesch , David G. Nagy , Andrew Saxe , Christopher Summerfield

Recent advances in neuroscience together with nanoscale electronic device technology have resulted in huge interests in realizing brain-like computing hardwares using emerging nanoscale memory devices as synaptic elements. Although there…

神经与进化计算 · 计算机科学 2014-07-15 Sukru Burc Eryilmaz , Duygu Kuzum , Rakesh Jeyasingh , SangBum Kim , Matthew BrightSky , Chung Lam , H. -S. Philip Wong

We study the relative power of learning with gradient descent on differentiable models, such as neural networks, versus using the corresponding tangent kernels. We show that under certain conditions, gradient descent achieves small error…

机器学习 · 计算机科学 2021-03-02 Eran Malach , Pritish Kamath , Emmanuel Abbe , Nathan Srebro

Lateral inhibition models coupled with Hebbian plasticity have been shown to learn factorised causal representations of input stimuli, for instance, oriented edges are learned from natural images. Currently, these models require the…

神经元与认知 · 定量生物学 2025-01-07 Henrique Reis Aguiar , Matthias H. Hennig

A key challenge in robot teaching is grasp-type recognition with a single RGB image and a target object name. Here, we propose a simple yet effective pipeline to enhance learning-based recognition by leveraging a prior distribution of grasp…

机器人学 · 计算机科学 2020-09-22 Naoki Wake , Kazuhiro Sasabuchi , Katsushi Ikeuchi

The "fire together, wire together" Hebbian model is a central principle for learning in neuroscience, but surprisingly, it has found limited applicability in modern machine learning. In this paper, we take a first step towards bridging this…

机器学习 · 计算机科学 2016-11-15 Aseem Wadhwa , Upamanyu Madhow

We consider a method for conformalizing a stacked ensemble of predictive models, showing that the potentially simple form of the meta-learner at the top of the stack enables a procedure with manageable computational cost that achieves…

机器学习 · 统计学 2026-03-31 Paulo C. Marques F