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Modern algorithms for binary classification rely on an intermediate regression problem for computational tractability. In this paper, we establish a geometric distinction between classification and regression that allows risk in these two…

Machine Learning · Statistics 2022-05-19 Suhas Vijaykumar , Claire Lazar Reich

Multi-task reinforcement learning (MTRL) aims to endow a single agent with the ability to perform well on multiple tasks. Recent works have focused on developing novel sophisticated architectures to improve performance, often resulting in…

Machine Learning · Computer Science 2025-03-13 Reginald McLean , Evangelos Chatzaroulas , Jordan Terry , Isaac Woungang , Nariman Farsad , Pablo Samuel Castro

We present a probabilistic viewpoint to multiple kernel learning unifying well-known regularised risk approaches and recent advances in approximate Bayesian inference relaxations. The framework proposes a general objective function suitable…

Machine Learning · Statistics 2012-06-08 Hannes Nickisch , Matthias Seeger

We introduce the concept of coverage risk as an error measure for density ridge estimation. The coverage risk generalizes the mean integrated square error to set estimation. We propose two risk estimators for the coverage risk and we show…

Methodology · Statistics 2015-06-09 Yen-Chi Chen , Christopher R. Genovese , Shirley Ho , Larry Wasserman

In many risk-aware and multi-objective reinforcement learning settings, the utility of the user is derived from the single execution of a policy. In these settings, making decisions based on the average future returns is not suitable. For…

Machine Learning · Computer Science 2021-02-03 Conor F. Hayes , Mathieu Reymond , Diederik M. Roijers , Enda Howley , Patrick Mannion

We propose an approach to reduce the bias of ridge regression and regularization kernel network. When applied to a single data set the new algorithms have comparable learning performance with the original ones. When applied to incremental…

Machine Learning · Statistics 2016-03-17 Qiang Wu

Multi-Task Learning (MTL) enables a single model to learn multiple tasks simultaneously, leveraging knowledge transfer among tasks for enhanced generalization, and has been widely applied across various domains. However, task imbalance…

Machine Learning · Computer Science 2025-10-22 Xiaohan Qin , Xiaoxing Wang , Ning Liao , Junchi Yan

In this work, we investigate the behavior of ridge regression in an overparameterized binary classification task. We assume examples are drawn from (anisotropic) class-conditional cluster distributions with opposing means and we allow for…

Machine Learning · Statistics 2025-03-12 Alexander Tsigler , Luiz F. O. Chamon , Spencer Frei , Peter L. Bartlett

Multi-task learning (MTL) aims to build general-purpose vision systems by training a single network to perform multiple tasks jointly. While promising, its potential is often hindered by "unbalanced optimization", where task interference…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yihang Guo , Tianyuan Yu , Liang Bai , Yanming Guo , Yirun Ruan , William Li , Weishi Zheng

The goal of multi-task learning is to enable more efficient learning than single task learning by sharing model structures for a diverse set of tasks. A standard multi-task learning objective is to minimize the average loss across all…

Machine Learning · Computer Science 2024-02-22 Bo Liu , Xingchao Liu , Xiaojie Jin , Peter Stone , Qiang Liu

We develop a theoretical framework for the analysis of oblique decision trees, where the splits at each decision node occur at linear combinations of the covariates (as opposed to conventional tree constructions that force axis-aligned…

Statistics Theory · Mathematics 2023-09-01 Matias D. Cattaneo , Rajita Chandak , Jason M. Klusowski

We tackle the problem of estimating a regression function observed in an instrumental regression framework. This model is an inverse problem with unknown operator. We provide a spectral cut-off estimation procedure which enables to derive…

Statistics Theory · Mathematics 2009-01-28 Jean-Michel Loubes , Clément Marteau

We present a quantum algorithm that analyzes risk more efficiently than Monte Carlo simulations traditionally used on classical computers. We employ quantum amplitude estimation to evaluate risk measures such as Value at Risk and…

Quantum Physics · Physics 2019-10-31 Stefan Woerner , Daniel J. Egger

Automated protein function prediction is a challenging problem with distinctive features, such as the hierarchical organization of protein functions and the scarcity of annotated proteins for most biological functions. We propose a…

Machine Learning · Statistics 2019-04-09 Marco Frasca , Nicolò Cesa Bianchi

This letter compares the performance of four different, popular simulation environments for robotics and reinforcement learning (RL) through a series of benchmarks. The benchmarked scenarios are designed carefully with current industrial…

Robotics · Computer Science 2021-03-09 Marian Körber , Johann Lange , Stephan Rediske , Simon Steinmann , Roland Glück

We consider the estimation of two-sample integral functionals, of the type that occur naturally, for example, when the object of interest is a divergence between unknown probability densities. Our first main result is that, in wide…

Statistics Theory · Mathematics 2023-01-31 Thomas B. Berrett , Richard J. Samworth

A critical decision point when training predictors using multiple studies is whether studies should be combined or treated separately. We compare two multi-study prediction approaches in the presence of potential heterogeneity in…

Machine Learning · Statistics 2024-12-13 Zoe Guan , Giovanni Parmigiani , Prasad Patil

When faced with learning a set of inter-related tasks from a limited amount of usable data, learning each task independently may lead to poor generalization performance. Multi-Task Learning (MTL) exploits the latent relations between tasks…

Machine Learning · Computer Science 2015-08-14 Niloofar Yousefi , Michael Georgiopoulos , Georgios C. Anagnostopoulos

The divide-and-conquer method has been widely used for estimating large-scale kernel ridge regression estimates. Unfortunately, when the response variable is highly skewed, the divide-and-conquer kernel ridge regression (dacKRR) may…

Machine Learning · Statistics 2021-11-11 Jingyi Zhang , Xiaoxiao Sun

Reinforcement learning algorithms, just like any other Machine learning algorithm pose a serious threat from adversaries. The adversaries can manipulate the learning algorithm resulting in non-optimal policies. In this paper, we analyze the…

Machine Learning · Computer Science 2021-03-12 Aqeel Anwar , Arijit Raychowdhury