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Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds

arXiv.org Artificial Intelligence

We introduce a method to successively locate equilibria (steady states) of dynamical systems on Riemannian manifolds. The manifolds need not be characterized by an a priori known atlas or by the zeros of a smooth map. Instead, they can be defined by point-clouds and sampled as needed through an iterative process. If the manifold is an Euclidean space, our method follows isoclines, curves along which the direction of the vector field $X$ is constant. For a generic vector field $X$, isoclines are smooth curves and every equilibrium lies on isoclines. We generalize the definition of isoclines to Riemannian manifolds through the use of parallel transport: generalized isoclines are curves along which the directions of $X$ are parallel transports of each other. As in the Euclidean case, generalized isoclines of generic vector fields $X$ are smooth curves that connect equilibria of $X$. Our algorithm can be regarded as an extension of the method of Newton trajectories to the manifold setting when the manifold is unknown. This work is motivated by computational statistical mechanics, specifically high dimensional (stochastic) differential equations that model the dynamics of molecular systems. Often, these dynamics concentrate near low-dimensional manifolds and have transitions (saddle points with a single unstable direction) between metastable equilibria. We employ iteratively sampled data and isoclines to locate these saddle points. Coupling a black-box sampling scheme (e.g., Markov chain Monte Carlo) with manifold learning techniques (diffusion maps in the case presented here), we show that our method reliably locates equilibria of $X$.


Divide and Contrast: Source-free Domain Adaptation via Adaptive Contrastive Learning

arXiv.org Artificial Intelligence

We investigate a practical domain adaptation task, called source-free unsupervised domain adaptation (SFUDA), where the source pretrained model is adapted to the target domain without access to the source data. Existing techniques mainly leverage self-supervised pseudo-labeling to achieve class-wise global alignment [24] or rely on local structure extraction that encourages the feature consistency among neighborhoods [48]. While impressive progress has been made, both lines of methods have their own drawbacks - the "global" approach is sensitive to noisy labels while the "local" counterpart suffers from the source bias. In this paper, we present Divide and Contrast (DaC), a new paradigm for SFUDA that strives to connect the good ends of both worlds while bypassing their limitations. Based on the prediction confidence of the source model, DaC divides the target data into source-like and target-specific samples, where either group of samples is treated with tailored goals under an adaptive contrastive learning framework. Specifically, the source-like samples are utilized for learning global class clustering thanks to their relatively clean labels. The more noisy target-specific data are harnessed at the instance level for learning the intrinsic local structures. We further align the sourcelike domain with the target-specific samples using a memory-based maximum mean discrepancy (MMD) loss to reduce the distribution mismatch. Extensive experiments on VisDA, Office-Home, and the more challenging DomainNet have verified the superior performance of DaC over current state-of-the-art approaches.


SHARE: a System for Hierarchical Assistive Recipe Editing

arXiv.org Artificial Intelligence

The large population of home cooks with dietary restrictions is under-served by existing cooking resources and recipe generation models. To help them, we propose the task of controllable recipe editing: adapt a base recipe to satisfy a user-specified dietary constraint. This task is challenging, and cannot be adequately solved with human-written ingredient substitution rules or existing end-to-end recipe generation models. We tackle this problem with SHARE: a System for Hierarchical Assistive Recipe Editing, which performs simultaneous ingredient substitution before generating natural-language steps using the edited ingredients. By decoupling ingredient and step editing, our step generator can explicitly integrate the available ingredients. Experiments on the novel RecipePairs dataset -- 83K pairs of similar recipes where each recipe satisfies one of seven dietary constraints -- demonstrate that SHARE produces convincing, coherent recipes that are appropriate for a target dietary constraint. We further show through human evaluations and real-world cooking trials that recipes edited by SHARE can be easily followed by home cooks to create appealing dishes.


Machine Learning Math: A Complete Guide to Machine Learning for Beginners with Tensorflow. This Book Explains How to Build Artificial Intelligence in Business Applications: ML & AI Academy: 9798647618702: Amazon.com: Books

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You will learn four important things. The first one is how to implement games using gym and how to play games for relaxation and having fun. The second one is that you will learn how to preprocess data in reinforcement learning tasks such as in computer games. For practical machine learning applications, you will spend a great deal of time understanding and refining data, which affects the performance of an AI system a lot. The third one is the deep Q-learning algorithm.


11 Best Udemy Deep Learning Courses, Tutorials and Trainings in 2022

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Are you looking for Best Deep Learning Courses? This is also coming from the same two authors of the first one in this list; this Bestselling Course concentrates on Deep Learning. It will help you understand the intuition behind Artificial Neural Networks, Recurrent Neural Networks, Boltzmann Machines, Self Organizing Maps, and Auto-Encoders. You will also learn how to apply them. This deep learning certification tutorial will give you in-depth knowledge of deep learning.


Amazon SageMaker Studio Lab continues to democratize ML with more scale and functionality

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To make machine learning (ML) more accessible, Amazon launched Amazon SageMaker Studio Lab at AWS re:Invent 2021. Today, tens of thousands of customers use it every day to learn and experiment with ML for free. We made it simple to get started with just an email address, without the need for installs, setups, credit cards, or an AWS account. SageMaker Studio Lab resonates with customers who want to learn in either an informal or formal setting, as indicated by a recent survey that suggests 49% of our current customer base is learning on their own, whereas 21% is taking a formal ML class. Higher learning institutions have started to adopt it, because it helps them teach ML fundamentals beyond the notebook, like environment and resource management, which are critical areas for successful ML projects.


Schools need to start teaching AI as demand for tech skills will boom 40%

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New economic research reveals that teaching Artificial Intelligence (AI) skills in secondary schools could help to fill increasing demand for computer science and AI related roles, supporting on average ยฃ71 billion of economic output annually to 2030 in the UK economy. The report โ€“ commissioned by Amazon from Capital Economics โ€“ estimates that demand for jobs that require computer science, AI or machine learning skills in the UK are expected to increase by 40% over the next five years. In addition, research that looked at the potential future use of AI by UK businesses estimates that expenditure on AI-related labour could increase from ยฃ46 billion in 2020 to between ยฃ80 billion and ยฃ103 billion by 2025. In order to have enough AI talent in the UK workforce to fill computer science jobs by 2030, students will need to experience some form of AI-based learning during secondary school. An insufficient supply of skilled labour is one of the reasons why UK businesses are slow to adopt AI, with just 15% of UK businesses having currently adopted the technology.



Managing Machine Learning Projects

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Organizations in every industry are accelerating their use of artificial intelligence and machine learning to create innovative new products and systems. This requires professionals across a range of functions, not just strictly within the data science and data engineering teams, to understand when and how AI can be applied, to speak the language of data and analytics, and to be capable of working in cross-functional teams on machine learning projects. This Specialization provides a foundational understanding of how machine learning works and when and how it can be applied to solve problems. Learners will build skills in applying the data science process and industry best practices to lead machine learning projects, and develop competency in designing human-centered AI products which ensure privacy and ethical standards. The courses in this Specialization focus on the intuition behind these technologies, with no programming required, and merge theory with practical information including best practices from industry.


Data Engineer (m/f)

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Professional development: As the gaming industry is constantly evolving and growing, we can promise you will, too! We will ensure you have a structured and smooth onboarding process with scheduled feedback times and both a mentor and a buddy by your side. To make sure you and your team are up to date with the latest trends, we allocate a team budget for education. Financial benefits: On top of a competitive salary, we offer additional financial benefits based on annual success, such as a Christmas bonus, Easter bonus, summer bonus, 13th salary, as well as referral bonuses and fully covered transportation expenses. Work-life balance: We are deeply dedicated to our work, but also understand the importance of switching off and recharging.