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We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

机器学习 · 统计学 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

Partial-label learning is a popular weakly supervised learning setting that allows each training example to be annotated with a set of candidate labels. Previous studies on partial-label learning only focused on the classification setting…

机器学习 · 计算机科学 2023-06-16 Xin Cheng , Deng-Bao Wang , Lei Feng , Min-Ling Zhang , Bo An

Optimization problems are ubiquitous in our societies and are present in almost every segment of the economy. Most of these optimization problems are NP-hard and computationally demanding, often requiring approximate solutions for…

最优化与控制 · 数学 2021-06-23 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

Nonlinear regression has been extensively employed in many computer vision problems (e.g., crowd counting, age estimation, affective computing). Under the umbrella of deep learning, two common solutions exist i) transforming nonlinear…

计算机视觉与模式识别 · 计算机科学 2019-08-27 Le Zhang , Zenglin Shi , Ming-Ming Cheng , Yun Liu , Jia-Wang Bian , Joey Tianyi Zhou , Guoyan Zheng , Zeng Zeng

Given a finite set of sample points, meta-learning algorithms aim to learn an optimal adaptation strategy for new, unseen tasks. Often, this data can be ambiguous as it might belong to different tasks concurrently. This is particularly the…

机器学习 · 计算机科学 2024-10-24 Alfredo Reichlin , Gustaf Tegnér , Miguel Vasco , Hang Yin , Mårten Björkman , Danica Kragic

Many structured prediction problems (particularly in vision and language domains) are ambiguous, with multiple outputs being correct for an input - e.g. there are many ways of describing an image, multiple ways of translating a sentence;…

机器学习 · 统计学 2018-06-11 Ashwin Kalyan , Stefan Lee , Anitha Kannan , Dhruv Batra

We introduce a novel generative formulation of deep probabilistic models implementing "soft" constraints on their function dynamics. In particular, we develop a flexible methodological framework where the modeled functions and derivatives…

机器学习 · 统计学 2018-06-19 Marco Lorenzi , Maurizio Filippone

We present a robust framework to perform linear regression with missing entries in the features. By considering an elliptical data distribution, and specifically a multivariate normal model, we are able to conditionally formulate a…

机器学习 · 计算机科学 2022-11-10 Alireza Aghasi , MohammadJavad Feizollahi , Saeed Ghadimi

In many real-world applications, optimization problems evolve continuously over time and are often subject to stochastic noise. We consider a stochastic time-varying optimization problem in which the objective function $f(x;t)$ changes…

最优化与控制 · 数学 2025-12-18 Tomoya Kamijima , Naoki Marumo , Akiko Takeda

In this paper, we discuss the ambiguous chance constrained based portfolio optimization problems, in which the perturbations associated with the input parameters are stochastic in nature, but their distributions are not known precisely. We…

最优化与控制 · 数学 2023-11-09 Pulak Swain , Akshay Kumar Ojha

In this work we propose to fit a sparse logistic regression model by a weakly convex regularized nonconvex optimization problem. The idea is based on the finding that a weakly convex function as an approximation of the $\ell_0$ pseudo norm…

机器学习 · 计算机科学 2018-05-23 Xinyue Shen , Yuantao Gu

We propose a unified framework for fair regression tasks formulated as risk minimization problems subject to a demographic parity constraint. Unlike many existing approaches that are limited to specific loss functions or rely on challenging…

统计方法学 · 统计学 2026-01-16 Yongzhen Feng , Weiwei Wang , Raymond K. W. Wong , Xianyang Zhang

We present a framework for performing efficient regression in general metric spaces. Roughly speaking, our regressor predicts the value at a new point by computing a Lipschitz extension --- the smoothest function consistent with the…

机器学习 · 计算机科学 2017-04-25 Lee-Ad Gottlieb , Aryeh Kontorovich , Robert Krauthgamer

Even if path planning can be solved using standard techniques from dynamic programming and control, the problem can also be approached using probabilistic inference. The algorithms that emerge using the latter framework bear some appealing…

Predictive inference requires balancing statistical accuracy against informational complexity, yet the choice of complexity measure is usually imposed rather than derived. We treat econometric objects as predictive rules, mappings from…

统计理论 · 数学 2026-02-16 Nicholas G. Polson , Daniel Zantedeschi

We introduce a new regression method that relates the mean of an outcome variable to covariates, under the "adverse condition" that a distress variable falls in its tail. This allows to tailor classical mean regressions to adverse…

计量经济学 · 经济学 2025-02-04 Timo Dimitriadis , Yannick Hoga

This book chapter introduces regression approaches and regression adjustment for Approximate Bayesian Computation (ABC). Regression adjustment adjusts parameter values after rejection sampling in order to account for the imperfect match…

统计方法学 · 统计学 2017-07-06 Michael GB Blum

The correct specification of reward models is a well-known challenge in reinforcement learning. Hand-crafted reward functions often lead to inefficient or suboptimal policies and may not be aligned with user values. Reinforcement learning…

A new nonparametric estimator of a convex regression function in any dimension is proposed and its convergence properties are studied. We start by using any estimator of the regression function and we \emph{convexify} it by taking the…

统计理论 · 数学 2010-06-16 Néstor E. Aguilera , Liliana Forzani , Pedro Morin

Inverse optimization refers to the inference of unknown parameters of an optimization problem based on knowledge of its optimal solutions. This paper considers inverse optimization in the setting where measurements of the optimal solutions…

最优化与控制 · 数学 2017-12-27 Anil Aswani , Zuo-Jun Max Shen , Auyon Siddiq