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The focus of this book is on the analysis of regularization methods for solving \emph{nonlinear inverse problems}. Specifically, we place a strong emphasis on techniques that incorporate supervised or unsupervised data derived from prior…

最优化与控制 · 数学 2025-06-24 Clemens Kirisits , Bochra Mejri , Sergei Pereverzev , Otmar Scherzer , Cong Shi

This paper presents the main features of a system that aims to transform regular expressions into shorter equivalent expressions. The system is also capable of computing other operations useful for simplification, such as checking the…

符号计算 · 计算机科学 2023-07-14 Baudouin Le Charlier

In batch reinforcement learning, there can be poorly explored state-action pairs resulting in poorly learned, inaccurate models and poorly performing associated policies. Various regularization methods can mitigate the problem of learning…

机器学习 · 计算机科学 2021-09-17 Sarah Rathnam , Susan A. Murphy , Finale Doshi-Velez

Considering uncertainty estimation of modern neural networks (NNs) is one of the most important steps towards deploying machine learning systems to meaningful real-world applications such as in medicine, finance or autonomous systems. At…

机器学习 · 计算机科学 2022-05-20 Martin Ferianc , Miguel Rodrigues

Deep models have advanced prediction in many domains, but their lack of interpretability remains a key barrier to the adoption in many real world applications. There exists a large body of work aiming to help humans understand these black…

机器学习 · 计算机科学 2019-08-15 Mike Wu , Sonali Parbhoo , Michael C. Hughes , Volker Roth , Finale Doshi-Velez

In this paper, we present a general realizability semantics for the simply typed $\lambda\mu$-calculus. Then, based on this semantics, we derive both weak and strong normalization results for two versions of the $\lambda\mu$-calculus…

逻辑 · 数学 2025-05-14 Peter Battyanyi , Karim Nour

This paper proposes a generalized framework for domain adaptation of Probabilistic Linear Discriminant Analysis (PLDA) in speaker recognition. It not only includes several existing supervised and unsupervised domain adaptation methods but…

音频与语音处理 · 电气工程与系统科学 2020-08-21 Qiongqiong Wang , Koji Okabe , Kong Aik Lee , Takafumi Koshinaka

Unsupervised and self-supervised learning approaches have become a crucial tool to learn representations for downstream prediction tasks. While these approaches are widely used in practice and achieve impressive empirical gains, their…

机器学习 · 计算机科学 2020-10-23 Siddhant Garg , Yingyu Liang

The modeling framework of port-Hamiltonian systems is systematically extended to constrained dynamical systems (descriptor systems, differential-algebraic equations). A new algebraically and geometrically defined system structure is…

最优化与控制 · 数学 2017-08-29 Christopher Beattie , Volker Mehrmann , Hongguo Xu , Hans Zwart

The Descriptor System Tools (DSTOOLS) is a collection of MATLAB functions for the operation on and manipulation of rational transfer function matrices via their descriptor system realizations. The DSTOOLS collection relies on the Control…

系统与控制 · 计算机科学 2018-11-27 Andreas Varga

The authors discuss how general regularization schemes, in particular linear regularization schemes and projection schemes, can be used to design tests for signal detection in statistical inverse problems. It is shown that such tests can…

统计理论 · 数学 2013-04-04 Clément Marteau , Peter Mathé

In this thesis, we draw inspiration from both classical system identification and modern machine learning in order to solve estimation problems for real-world, physical systems. The main approach to estimation and learning adopted is…

机器学习 · 计算机科学 2024-09-23 Fredrik Bagge Carlson

Data interpolation is a fundamental step in any seismic processing workflow. Among machine learning techniques recently proposed to solve data interpolation as an inverse problem, Deep Prior paradigm aims at employing a convolutional neural…

信号处理 · 电气工程与系统科学 2021-01-28 Francesco Picetti , Vincenzo Lipari , Paolo Bestagini , Stefano Tubaro

Autoformalization is the task of automatically translating mathematical content written in natural language to a formal language expression. The growing language interpretation capabilities of Large Language Models (LLMs), including in…

计算与语言 · 计算机科学 2025-06-16 Lan Zhang , Xin Quan , Andre Freitas

Deep neural networks with millions of parameters may suffer from poor generalization due to overfitting. To mitigate the issue, we propose a new regularization method that penalizes the predictive distribution between similar samples. In…

机器学习 · 计算机科学 2020-04-08 Sukmin Yun , Jongjin Park , Kimin Lee , Jinwoo Shin

Despite the significant progress of deep reinforcement learning (RL) in solving sequential decision making problems, RL agents often overfit to training environments and struggle to adapt to new, unseen environments. This prevents robust…

机器学习 · 计算机科学 2020-08-04 Xingyu Lu , Kimin Lee , Pieter Abbeel , Stas Tiomkin

For a parameter-unknown linear descriptor system, this paper proposes data-driven methods to testify the system's type and controllability and then to stabilize it. First, a data-based condition is developed to identify whether this unknown…

系统与控制 · 电气工程与系统科学 2022-01-03 Jiabao He , Xuan Zhang , Feng Xu , Junbo Tan , Xueqian Wang

Machine learning is a powerful tool for predicting human-related outcomes, from credit scores to heart attack risks. But when deployed, learned models also affect how users act in order to improve outcomes, whether predicted or real. The…

机器学习 · 计算机科学 2020-06-24 Nir Rosenfeld , Sophie Hilgard , Sai Srivatsa Ravindranath , David C. Parkes

Algorithmic regularization uses a transformation of the equations of motion such that the leapfrog algorithm produces exact trajectories for two-body motion as well as regular results in numerical integration of the motion of strongly…

天体物理学 · 物理学 2009-11-11 Seppo Mikkola , David Merritt

Autoformalization has emerged as a term referring to the automation of formalization - specifically, the formalization of mathematics using interactive theorem provers (proof assistants). Its rapid development has been driven by progress in…