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Analytical and numerical studies on many-body stochastic processes with multiplicative interactions are reviewed. The method of moment relations is used to investigate effects of asymmetry and randomness in interactions. Probability…

统计力学 · 物理学 2009-11-11 Akihiro Fujihara , Toshiya Ohtsuki , Hiroshi Yamamoto

In this paper, we study the problem of estimating uniformly well the mean values of several distributions given a finite budget of samples. If the variance of the distributions were known, one could design an optimal sampling strategy by…

In this paper, we examine the convergence landscape of multi-agent learning under uncertainty. Specifically, we analyze two stochastic models of regularized learning in continuous games -- one in continuous and one in discrete time with the…

计算机科学与博弈论 · 计算机科学 2025-12-10 Kyriakos Lotidis , Panayotis Mertikopoulos , Nicholas Bambos , Jose Blanchet

Bayesian forecasting is developed in multivariate time series analysis for causal inference. Causal evaluation of sequentially observed time series data from control and treated units focuses on the impacts of interventions using…

统计方法学 · 统计学 2024-06-21 Graham Tierney , Christoph Hellmayr , Greg Barkimer , Kevin Li , Mike West

Multi-robot manipulation tasks involve various control entities that can be separated into dynamically independent parts. A typical example of such real-world tasks is dual-arm manipulation. Learning to naively solve such tasks with…

机器人学 · 计算机科学 2022-11-30 Elie Aljalbout , Maximilian Karl , Patrick van der Smagt

We develop an approach for Bayesian learning of spatiotemporal dynamical mechanistic models. Such learning consists of statistical emulation of the mechanistic system that can efficiently interpolate the output of the system from arbitrary…

统计方法学 · 统计学 2025-07-11 Sudipto Banerjee , Xiang Chen , Ian Frankenburg , Daniel Zhou

Machine learning in medical imaging during clinical routine is impaired by changes in scanner protocols, hardware, or policies resulting in a heterogeneous set of acquisition settings. When training a deep learning model on an initial…

计算机视觉与模式识别 · 计算机科学 2022-03-16 Matthias Perkonigg , Johannes Hofmanninger , Christian Herold , Helmut Prosch , Georg Langs

Over the past years several authors have used the approach of generalized modeling to study the dynamics of food chains and food webs. Generalized models come close to the efficiency of random matrix models, while being as directly…

种群与进化 · 定量生物学 2011-04-18 Justin D. Yeakel , Dirk Stiefs , Mark Novak , Thilo Gross

We introduce temporal multimodal multivariate learning, a new family of decision making models that can indirectly learn and transfer online information from simultaneous observations of a probability distribution with more than one peak or…

Interacting spin systems are of fundamental relevance in different areas of physics, as well as in quantum information science, and biology. These spin models represent the simplest, yet not fully understood, manifestation of quantum…

量子物理 · 物理学 2015-02-27 Johannes Schachenmayer , Alexander Pikovski , Ana Maria Rey

Recent work in reinforcement learning has leveraged symmetries in the model to improve sample efficiency in training a policy. A commonly used simplifying assumption is that the dynamics and reward both exhibit the same symmetry; however,…

机器学习 · 计算机科学 2024-08-20 Yasin Sonmez , Neelay Junnarkar , Murat Arcak

The problem of learning simultaneously several related tasks has received considerable attention in several domains, especially in machine learning with the so-called multitask learning problem or learning to learn problem [1], [2].…

信号处理 · 电气工程与系统科学 2021-09-29 Roula Nassif , Stefan Vlaski , Cedric Richard , Jie Chen , Ali H. Sayed

We learn multiple hypotheses for related tasks under a latent hierarchical relationship between tasks. We exploit the intuition that for domain adaptation, we wish to share classifier structure, but for multitask learning, we wish to share…

机器学习 · 计算机科学 2014-08-12 Hal Daume

We learn multiple hypotheses for related tasks under a latent hierarchical relationship between tasks. We exploit the intuition that for domain adaptation, we wish to share classifier structure, but for multitask learning, we wish to share…

机器学习 · 计算机科学 2009-07-07 Hal Daumé

Model brittleness is a key concern when deploying deep learning models in real-world medical settings. A model that has high performance at one institution may suffer a significant decline in performance when tested at other institutions.…

Continual learning in environments with shifting data distributions is a challenging problem with several real-world applications. In this paper we consider settings in which the data distribution(task) shifts abruptly and the timing of…

机器学习 · 计算机科学 2022-01-07 Mengda Xu , Sumitra Ganesh , Pranay Pasula

In this paper, we present a novel general framework grounded in the factor graph theory to solve kinematic and dynamic problems for multi-body systems. Although the motion of multi-body systems is considered to be a well-studied problem and…

机器人学 · 计算机科学 2021-07-27 José-Luis Blanco-Claraco , Antonio Leanza , Giulio Reina

Human perception of the empirical world involves recognizing the diverse appearances, or 'modalities', of underlying objects. Despite the longstanding consideration of this perspective in philosophy and cognitive science, the study of…

机器学习 · 计算机科学 2023-12-19 Zhou Lu

Various methods of constructing solvable few-body models are reviewed, with an emphasis on direct interactions with few degrees of freedom, as an alternative to the use of local quantum field theories. Several applications are discussed.

核理论 · 物理学 2015-06-26 B. D. Keister

The theory of slow manifolds is an important tool in the study of deterministic dynamical systems, giving a practical method by which to reduce the number of relevant degrees of freedom in a model, thereby often resulting in a considerable…

统计力学 · 物理学 2013-07-01 George W A Constable , Alan J McKane , Tim Rogers
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