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Why Machines Cannot Learn Mathematics, Yet

arXiv.org Artificial Intelligence

Nowadays, Machine Learning (ML) is seen as the universal solution to improve the effectiveness of information retrieval (IR) methods. However, while mathematics is a precise and accurate science, it is usually expressed by less accurate and imprecise descriptions, contributing to the relative dearth of machine learning applications for IR in this domain. Generally, mathematical documents communicate their knowledge with an ambiguous, context-dependent, and non-formal language. Given recent advances in ML, it seems canonical to apply ML techniques to represent and retrieve mathematics semantically. In this work, we apply popular text embedding techniques to the arXiv collection of STEM documents and explore how these are unable to properly understand mathematics from that corpus. In addition, we also investigate the missing aspects that would allow mathematics to be learned by computers.


Want to be a data scientist? This online bootcamp is on sale for $10.

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Heads up: All products featured here are selected by Mashable's commerce team and meet our rigorous standards for awesomeness. If you buy something, Mashable may earn an affiliate commission. Nearly seven years after the Harvard Business Review first gave it the title, Data Scientist is still arguably the sexiest job out there. LinkedIn reports that demand for these highly skilled workers is ridiculously high, and according to the company review site Glassdoor -- which recently named the position its Best Job in America for 2019 -- the same can be said for their salaries. Your typical U.S. data scientist earns an average base pay of $117,345 a year. The thing is, data science isn't exactly a field you can just waltz right into.


Online Convex Optimization in Adversarial Markov Decision Processes

arXiv.org Machine Learning

We consider online learning in episodic loopfree We propose a novel algorithm for the adversarial MDP Markov decision processes (MDPs), where model where the transition function is unknown to the the loss function can change arbitrarily between learner and the losses change arbitrarily over time. Our episodes, and the transition function is not known algorithm, UC-O-REPS, uses two important ingredients, to the learner. We show Õ(L X A T) regret the first is Online Mirror Descent (OMD) (Shalev-Shwartz, bound, where T is the number of episodes, X 2012) and the second is UCRL-2 (Auer et al., 2008). A is the state space, A is the action space, and L major challenge in this work is to handle convex performance is the length of each episode. Our online algorithm criteria, which model different ways of aggregating is implemented using entropic regularization the losses of each episode. In order to handle convex performance methodology, which allows to extend the criteria, we use the methodology of OMD, which is original adversarial MDP model to handle convex widely used for online convex optimization, and we implement performance criteria (different ways to aggregate it in the adversarial MDP setting. In order to overcome the losses of a single episode), as well as the unknown dynamics (stochastic transition function) improve previous regret bounds.


TensorFlow Model Optimization Toolkit -- Pruning API

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Since we introduced the Model Optimization Toolkit -- a suite of techniques that developers, both novice and advanced, can use to optimize machine learning models -- we have been busy working on our roadmap to add several new approaches and tools. Today, we are happy to share the new weight pruning API. Optimizing machine learning programs can take very different forms. Fortunately, neural networks have proven resilient to different transformations aimed at this goal. One such family of optimizations aims to reduce the number of parameters and operations involved in the computation by removing connections, and thus parameters, in between neural network layers.


6 Ways Top Influencers Are Implementing AI and Machine Learning to Grow Their Followers

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With over 31.25 million Facebook posts per minute, 6000 tweets per second and 95 million Instagram posts every day, it's genuinely commendable how top social media influencers can work their way through big data analytics and present relevant and timely content to their respective industries. Whether they focus on tech, fashion, fitness, business or beauty, influencers are continually learning and improving to stay ahead of their competition. With sufficient exposure to AI and machine learning solutions created to help social media marketing, you can also increase your social media conversion rates. John McCarthy, one of the early pioneers in the field of AI, defined artificial intelligence as "the science of making machines that can perform tasks that are characteristic of human intelligence." These tasks may include understanding language, translating content between languages, recognizing elements in images and speech or making decisions.


An Online Stochastic Kernel Machine for Robust Signal Classification

arXiv.org Machine Learning

We present a novel variation of online kernel machines in Early work on the theoretical limits of online learning which we exploit a consensus based optimization mechanism were investigated from a statistical physics point of view [8]. to guide the evolution of decision functions drawn from a Though these techniques benchmark the performance of reproducing kernel Hilbert space (RKHS), which efficiently online algorithms in idealized scenarios they are of limited models the observed stationary process. We derive an practical value because they are based on specific parametric efficient classification algorithm based on these principles statistical models. Furthermore statistical physics based such that our algorithm reduces to traditional online kernel approaches typically require a priori knowledge of machines for the special case in which the consensus based parameters such as generalization error which are not optimization mechanism is switched off. We illustrate the knowable in practice. On the other hand the methods of algorithm's inherent resistance to label and input noise for the statistical learning theory provide greater insight into the case of online classification, and derive relevant regression behavior of online algorithms [9], particularly kernel based bounds. The resulting algorithm can find numerous algorithms in which we are particularly interested.


TED Talks Technology: What is the meaning of work? Bryn Freedman on Apple Podcasts

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His company invests in new technology like AI to make businesses more efficient -- but, he wondered, what was AI doing to the people whose jobs might change, go away or become less fulfilling? The question sent him on a two-year research odyssey to discover what motivates people, and why we work. In this conversation with curator Bryn Freedman, he shares what he learned, including some surprising insights that will shape the conversation about the future of our jobs.


MaMiC: Macro and Micro Curriculum for Robotic Reinforcement Learning

arXiv.org Machine Learning

Shaping in humans and animals has been shown to be a powerful tool for learning complex tasks as compared to learning in a randomized fashion. This makes the problem less complex and enables one to solve the easier sub task at hand first. Generating a curriculum for such guided learning involves subjecting the agent to easier goals first, and then gradually increasing their difficulty. This paper takes a similar direction and proposes a dual curriculum scheme for solving robotic manipulation tasks with sparse rewards, called MaMiC. It includes a macro curriculum scheme which divides the task into multiple sub-tasks followed by a micro curriculum scheme which enables the agent to learn between such discovered sub-tasks. We show how combining macro and micro curriculum strategies help in overcoming major exploratory constraints considered in robot manipulation tasks without having to engineer any complex rewards. We also illustrate the meaning of the individual curricula and how they can be used independently based on the task. The performance of such a dual curriculum scheme is analyzed on the Fetch environments.


Stratospheric Aerosol Injection as a Deep Reinforcement Learning Problem

arXiv.org Machine Learning

As global greenhouse gas emissions continue to rise, the use of stratospheric aerosol injection (SAI), a form of solar geoengineering, is increasingly considered in order to artificially mitigate climate change effects. However, initial research in simulation suggests that naive SAI can have catastrophic regional consequences, which may induce serious geostrategic conflicts. Current geo-engineering research treats SAI control in low-dimensional approximation only. We suggest treating SAI as a high-dimensional control problem, with policies trained according to a context-sensitive reward function within the Deep Reinforcement Learning (DRL) paradigm. In order to facilitate training in simulation, we suggest to emulate HadCM3, a widely used General Circulation Model, using deep learning techniques. We believe this is the first application of DRL to the climate sciences.


Alpha MAML: Adaptive Model-Agnostic Meta-Learning

arXiv.org Machine Learning

Model-agnostic meta-learning (MAML) is a meta-learning technique to train a model on a multitude of learning tasks in a way that primes the model for few-shot learning of new tasks. The MAML algorithm performs well on few-shot learning problems in classification, regression, and fine-tuning of policy gradients in reinforcement learning, but comes with the need for costly hyperparameter tuning for training stability. We address this shortcoming by introducing an extension to MAML, called Alpha MAML, to incorporate an online hyperparameter adaptation scheme that eliminates the need to tune meta-learning and learning rates. Our results with the Omniglot database demonstrate a substantial reduction in the need to tune MAML training hyperparameters and improvement to training stability with less sensitivity to hyperparameter choice.