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['Due to the success of deep learning to solving a variety of challenging machine learning tasks, there is a rising interest in understanding loss functions for training neural networks from a theoretical aspect.', 'Particularly, the properties of critical points and the landscape around them are of importance to determine the convergence performance of optimization algorithms.', 'In this paper, we provide a necessary and sufficient characterization of the analytical forms for the critical points (as well as global minimizers) of the square loss functions for linear neural networks.', 'We show that the analytical forms of the critical points characterize the values of the corresponding loss functions as well as the necessary and sufficient conditions to achieve global minimum.', 'Furthermore, we exploit the analytical forms of the critical points to characterize the landscape properties for the loss functions of linear neural networks and shallow ReLU networks.', 'One particular conclusion is that: While the loss function of linear networks has no spurious local minimum, the loss function of one-hidden-layer nonlinear networks with ReLU activation function does have local minimum that is not global minimum.']
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SysEexbRb
['We provide necessary and sufficient analytical forms for the critical points of the square loss functions for various neural networks, and exploit the analytical forms to characterize the landscape properties for the loss functions of these neural networks.']
Due to the success of deep learning to solving a variety of challenging machine learning tasks, there is a rising interest in understanding loss functions for training neural networks from a theoretical aspect., Particularly, the properties of critical points and the landscape around them are of importance to determine the convergence performance of optimization algorithms., In this paper, we provide a necessary and sufficient characterization of the analytical forms for the critical points (as well as global minimizers) of the square loss functions for linear neural networks., We show that the analytical forms of the critical points characterize the values of the corresponding loss functions as well as the necessary and sufficient conditions to achieve global minimum., Furthermore, we exploit the analytical forms of the critical points to characterize the landscape properties for the loss functions of linear neural networks and shallow ReLU networks., One particular conclusion is that: While the loss function of linear networks has no spurious local minimum, the loss function of one-hidden-layer nonlinear networks with ReLU activation function does have local minimum that is not global minimum.
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['The backpropagation (BP) algorithm is often thought to be biologically implausible in the brain.', 'One of the main reasons is that BP requires symmetric weight matrices in the feedforward and feedback pathways.', 'To address this “weight transport problem” (Grossberg, 1987), two biologically-plausible algorithms, proposed by Liao et al. (2016) and Lillicrap et al. (2016), relax BP’s weight symmetry requirements and demonstrate comparable learning capabilities to that of BP on small datasets.', 'However, a recent study by Bartunov et al. (2018) finds that although feedback alignment (FA) and some variants of target-propagation (TP) perform well on MNIST and CIFAR, they perform significantly worse than BP on ImageNet.', 'Here, we additionally evaluate the sign-symmetry (SS) algorithm (Liao et al., 2016), which differs from both BP and FA in that the feedback and feedforward weights do not share magnitudes but share signs.', 'We examined the performance of sign-symmetry and feedback alignment on ImageNet and MS COCO datasets using different network architectures (ResNet-18 and AlexNet for ImageNet; RetinaNet for MS COCO).', 'Surprisingly, networks trained with sign-symmetry can attain classification performance approaching that of BP-trained networks.', 'These results complement the study by Bartunov et al. (2018) and establish a new benchmark for future biologically-plausible learning algorithms on more difficult datasets and more complex architectures.']
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SygvZ209F7
['Biologically plausible learning algorithms, particularly sign-symmetry, work well on ImageNet']
The backpropagation (BP) algorithm is often thought to be biologically implausible in the brain., One of the main reasons is that BP requires symmetric weight matrices in the feedforward and feedback pathways., To address this “weight transport problem” (Grossberg, 1987), two biologically-plausible algorithms, proposed by Liao et al. (2016) and Lillicrap et al. (2016), relax BP’s weight symmetry requirements and demonstrate comparable learning capabilities to that of BP on small datasets., However, a recent study by Bartunov et al. (2018) finds that although feedback alignment (FA) and some variants of target-propagation (TP) perform well on MNIST and CIFAR, they perform significantly worse than BP on ImageNet., Here, we additionally evaluate the sign-symmetry (SS) algorithm (Liao et al., 2016), which differs from both BP and FA in that the feedback and feedforward weights do not share magnitudes but share signs., We examined the performance of sign-symmetry and feedback alignment on ImageNet and MS COCO datasets using different network architectures (ResNet-18 and AlexNet for ImageNet; RetinaNet for MS COCO)., Surprisingly, networks trained with sign-symmetry can attain classification performance approaching that of BP-trained networks., These results complement the study by Bartunov et al. (2018) and establish a new benchmark for future biologically-plausible learning algorithms on more difficult datasets and more complex architectures.
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['We introduce the 2-simplicial Transformer, an extension of the Transformer which includes a form of higher-dimensional attention generalising the dot-product attention, and uses this attention to update entity representations with tensor products of value vectors.', 'We show that this architecture is a useful inductive bias for logical reasoning in the context of deep reinforcement learning.\n']
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rkecJ6VFvr
['We introduce the 2-simplicial Transformer and show that this architecture is a useful inductive bias for logical reasoning in the context of deep reinforcement learning.']
We introduce the 2-simplicial Transformer, an extension of the Transformer which includes a form of higher-dimensional attention generalising the dot-product attention, and uses this attention to update entity representations with tensor products of value vectors., We show that this architecture is a useful inductive bias for logical reasoning in the context of deep reinforcement learning.
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['We present Tensor-Train RNN (TT-RNN), a novel family of neural sequence architectures for multivariate forecasting in environments with nonlinear dynamics.', 'Long-term forecasting in such systems is highly challenging, since there exist long-term temporal dependencies, higher-order correlations and sensitivity to error propagation.', 'Our proposed tensor recurrent architecture addresses these issues by learning the nonlinear dynamics directly using higher order moments and high-order state transition functions.', 'Furthermore, we decompose the higher-order structure using the tensor-train (TT) decomposition to reduce the number of parameters while preserving the model performance.', 'We theoretically establish the approximation properties of Tensor-Train RNNs for general sequence inputs, and such guarantees are not available for usual RNNs.', 'We also demonstrate significant long-term prediction improvements over general RNN and LSTM architectures on a range of simulated environments with nonlinear dynamics, as well on real-world climate and traffic data.']
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[0.06666666269302368, 0.06451612710952759, 0.060606054961681366, 0.13793103396892548, 0.06666666269302368, 0.052631575614213943]
HJJ0w--0W
['Accurate forecasting over very long time horizons using tensor-train RNNs']
We present Tensor-Train RNN (TT-RNN), a novel family of neural sequence architectures for multivariate forecasting in environments with nonlinear dynamics., Long-term forecasting in such systems is highly challenging, since there exist long-term temporal dependencies, higher-order correlations and sensitivity to error propagation., Our proposed tensor recurrent architecture addresses these issues by learning the nonlinear dynamics directly using higher order moments and high-order state transition functions., Furthermore, we decompose the higher-order structure using the tensor-train (TT) decomposition to reduce the number of parameters while preserving the model performance., We theoretically establish the approximation properties of Tensor-Train RNNs for general sequence inputs, and such guarantees are not available for usual RNNs., We also demonstrate significant long-term prediction improvements over general RNN and LSTM architectures on a range of simulated environments with nonlinear dynamics, as well on real-world climate and traffic data.
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['Recent efforts on combining deep models with probabilistic graphical models are promising in providing flexible models that are also easy to interpret.', 'We propose a variational message-passing algorithm for variational inference in such models.', 'We make three contributions.', 'First, we propose structured inference networks that incorporate the structure of the graphical model in the inference network of variational auto-encoders (VAE).', 'Second, we establish conditions under which such inference networks enable fast amortized inference similar to VAE.', 'Finally, we derive a variational message passing algorithm to perform efficient natural-gradient inference while retaining the efficiency of the amortized inference.', 'By simultaneously enabling structured, amortized, and natural-gradient inference for deep structured models, our method simplifies and generalizes existing methods.']
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HyH9lbZAW
['We propose a variational message-passing algorithm for models that contain both the deep model and probabilistic graphical model.']
Recent efforts on combining deep models with probabilistic graphical models are promising in providing flexible models that are also easy to interpret., We propose a variational message-passing algorithm for variational inference in such models., We make three contributions., First, we propose structured inference networks that incorporate the structure of the graphical model in the inference network of variational auto-encoders (VAE)., Second, we establish conditions under which such inference networks enable fast amortized inference similar to VAE., Finally, we derive a variational message passing algorithm to perform efficient natural-gradient inference while retaining the efficiency of the amortized inference., By simultaneously enabling structured, amortized, and natural-gradient inference for deep structured models, our method simplifies and generalizes existing methods.
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['Modern deep neural networks have a large amount of weights, which make them difficult to deploy on computation constrained devices such as mobile phones.', 'One common approach to reduce the model size and computational cost is to use low-rank factorization to approximate a weight matrix.', 'However, performing standard low-rank factorization with a small rank can hurt the model expressiveness and significantly decrease the performance.', 'In this work, we propose to use a mixture of multiple low-rank factorizations to model a large weight matrix, and the mixture coefficients are computed dynamically depending on its input.', 'We demonstrate the effectiveness of the proposed approach on both language modeling and image classification tasks.', 'Experiments show that our method not only improves the computation efficiency but also maintains (sometimes outperforms) its accuracy compared with the full-rank counterparts.']
[0, 0, 0, 0, 1, 0]
[0.04651162400841713, 0.21052631735801697, 0.1621621549129486, 0.1304347813129425, 0.23529411852359772, 0.09756097197532654]
B1eHgu-Fim
['A simple modification to low-rank factorization that improves performances (in both image and language tasks) while still being compact.']
Modern deep neural networks have a large amount of weights, which make them difficult to deploy on computation constrained devices such as mobile phones., One common approach to reduce the model size and computational cost is to use low-rank factorization to approximate a weight matrix., However, performing standard low-rank factorization with a small rank can hurt the model expressiveness and significantly decrease the performance., In this work, we propose to use a mixture of multiple low-rank factorizations to model a large weight matrix, and the mixture coefficients are computed dynamically depending on its input., We demonstrate the effectiveness of the proposed approach on both language modeling and image classification tasks., Experiments show that our method not only improves the computation efficiency but also maintains (sometimes outperforms) its accuracy compared with the full-rank counterparts.
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['Deep learning training accesses vast amounts of data at high velocity, posing challenges for datasets retrieved over commodity networks and storage devices.', 'We introduce a way to dynamically reduce the overhead of fetching and transporting training data with a method we term Progressive Compressed Records (PCRs).', 'PCRs deviate from previous formats by leveraging progressive compression to split each training example into multiple examples of increasingly higher fidelity, without adding to the total data size.', 'Training examples of similar fidelity are grouped together, which reduces both the system overhead and data bandwidth needed to train a model.', 'We show that models can be trained on aggressively compressed representations of the training data and still retain high accuracy, and that PCRs can enable a 2x speedup on average over baseline formats using JPEG compression.', 'Our results hold across deep learning architectures for a wide range of datasets: ImageNet, HAM10000, Stanford Cars, and CelebA-HQ.']
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S1e0ZlHYDB
['We propose a simple, general, and space-efficient data format to accelerate deep learning training by allowing sample fidelity to be dynamically selected at training time']
Deep learning training accesses vast amounts of data at high velocity, posing challenges for datasets retrieved over commodity networks and storage devices., We introduce a way to dynamically reduce the overhead of fetching and transporting training data with a method we term Progressive Compressed Records (PCRs)., PCRs deviate from previous formats by leveraging progressive compression to split each training example into multiple examples of increasingly higher fidelity, without adding to the total data size., Training examples of similar fidelity are grouped together, which reduces both the system overhead and data bandwidth needed to train a model., We show that models can be trained on aggressively compressed representations of the training data and still retain high accuracy, and that PCRs can enable a 2x speedup on average over baseline formats using JPEG compression., Our results hold across deep learning architectures for a wide range of datasets: ImageNet, HAM10000, Stanford Cars, and CelebA-HQ.
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['It is fundamental and challenging to train robust and accurate Deep Neural Networks (DNNs) when semantically abnormal examples exist.', 'Although great progress has been made, there is still one crucial research question which is not thoroughly explored yet: What training examples should be focused and how much more should they be emphasised to achieve robust learning?', 'In this work, we study this question and propose gradient rescaling (GR) to solve it.', 'GR modifies the magnitude of logit vector’s gradient to emphasise on relatively easier training data points when noise becomes more severe, which functions as explicit emphasis regularisation to improve the generalisation performance of DNNs.', 'Apart from regularisation, we connect GR to examples weighting and designing robust loss functions.', 'We empirically demonstrate that GR is highly anomaly-robust and outperforms the state-of-the-art by a large margin, e.g., increasing 7% on CIFAR100 with 40% noisy labels.', 'It is also significantly superior to standard regularisers in both clean and abnormal settings.', 'Furthermore, we present comprehensive ablation studies to explore the behaviours of GR under different cases, which is informative for applying GR in real-world scenarios.']
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rylUOn4Yvr
['ROBUST DISCRIMINATIVE REPRESENTATION LEARNING VIA GRADIENT RESCALING: AN EMPHASIS REGULARISATION PERSPECTIVE']
It is fundamental and challenging to train robust and accurate Deep Neural Networks (DNNs) when semantically abnormal examples exist., Although great progress has been made, there is still one crucial research question which is not thoroughly explored yet: What training examples should be focused and how much more should they be emphasised to achieve robust learning?, In this work, we study this question and propose gradient rescaling (GR) to solve it., GR modifies the magnitude of logit vector’s gradient to emphasise on relatively easier training data points when noise becomes more severe, which functions as explicit emphasis regularisation to improve the generalisation performance of DNNs., Apart from regularisation, we connect GR to examples weighting and designing robust loss functions., We empirically demonstrate that GR is highly anomaly-robust and outperforms the state-of-the-art by a large margin, e.g., increasing 7% on CIFAR100 with 40% noisy labels., It is also significantly superior to standard regularisers in both clean and abnormal settings., Furthermore, we present comprehensive ablation studies to explore the behaviours of GR under different cases, which is informative for applying GR in real-world scenarios.
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['Generative Adversarial Networks (GANs) have achieved remarkable results in the task of generating realistic natural images.', 'In most applications, GAN models share two aspects in common.', 'On the one hand, GANs training involves solving a challenging saddle point optimization problem, interpreted as an adversarial game between a generator and a discriminator functions.', 'On the other hand, the generator and the discriminator are parametrized in terms of deep convolutional neural networks.', 'The goal of this paper is to disentangle the contribution of these two factors to the success of GANs.', 'In particular, we introduce Generative Latent Optimization (GLO), a framework to train deep convolutional generators without using discriminators, thus avoiding the instability of adversarial optimization problems.', 'Throughout a variety of experiments, we show that GLO enjoys many of the desirable properties of GANs: learning from large data, synthesizing visually-appealing samples, interpolating meaningfully between samples, and performing linear arithmetic with noise vectors.']
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ryj38zWRb
['Are GANs successful because of adversarial training or the use of ConvNets? We show a ConvNet generator trained with a simple reconstruction loss and learnable noise vectors leads many of the desirable properties of a GAN.']
Generative Adversarial Networks (GANs) have achieved remarkable results in the task of generating realistic natural images., In most applications, GAN models share two aspects in common., On the one hand, GANs training involves solving a challenging saddle point optimization problem, interpreted as an adversarial game between a generator and a discriminator functions., On the other hand, the generator and the discriminator are parametrized in terms of deep convolutional neural networks., The goal of this paper is to disentangle the contribution of these two factors to the success of GANs., In particular, we introduce Generative Latent Optimization (GLO), a framework to train deep convolutional generators without using discriminators, thus avoiding the instability of adversarial optimization problems., Throughout a variety of experiments, we show that GLO enjoys many of the desirable properties of GANs: learning from large data, synthesizing visually-appealing samples, interpolating meaningfully between samples, and performing linear arithmetic with noise vectors.
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['In this paper, we propose a novel kind of kernel, random forest kernel, to enhance the empirical performance of MMD GAN.', 'Different from common forests with deterministic routings, a probabilistic routing variant is used in our innovated random-forest kernel, which is possible to merge with the CNN frameworks.', 'Our proposed random-forest kernel has the following advantages: From the perspective of random forest, the output of GAN discriminator can be viewed as feature inputs to the forest, where each tree gets access to merely a fraction of the features, and thus the entire forest benefits from ensemble learning.', 'In the aspect of kernel method, random-forest kernel is proved to be characteristic, and therefore suitable for the MMD structure.', 'Besides, being an asymmetric kernel, our random-forest kernel is much more flexible, in terms of capturing the differences between distributions.', 'Sharing the advantages of CNN, kernel method, and ensemble learning, our random-forest kernel based MMD GAN obtains desirable empirical performances on CIFAR-10, CelebA and LSUN bedroom data sets.', 'Furthermore, for the sake of completeness, we also put forward comprehensive theoretical analysis to support our experimental results.']
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HJxhWa4KDr
['Equip MMD GANs with a new random-forest kernel.']
In this paper, we propose a novel kind of kernel, random forest kernel, to enhance the empirical performance of MMD GAN., Different from common forests with deterministic routings, a probabilistic routing variant is used in our innovated random-forest kernel, which is possible to merge with the CNN frameworks., Our proposed random-forest kernel has the following advantages: From the perspective of random forest, the output of GAN discriminator can be viewed as feature inputs to the forest, where each tree gets access to merely a fraction of the features, and thus the entire forest benefits from ensemble learning., In the aspect of kernel method, random-forest kernel is proved to be characteristic, and therefore suitable for the MMD structure., Besides, being an asymmetric kernel, our random-forest kernel is much more flexible, in terms of capturing the differences between distributions., Sharing the advantages of CNN, kernel method, and ensemble learning, our random-forest kernel based MMD GAN obtains desirable empirical performances on CIFAR-10, CelebA and LSUN bedroom data sets., Furthermore, for the sake of completeness, we also put forward comprehensive theoretical analysis to support our experimental results.
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['Reinforcement learning in an actor-critic setting relies on accurate value estimates of the critic.', 'However, the combination of function approximation, temporal difference (TD) learning and off-policy training can lead to an overestimating value function.', 'A solution is to use Clipped Double Q-learning (CDQ), which is used in the TD3 algorithm and computes the minimum of two critics in the TD-target. \n', 'We show that CDQ induces an underestimation bias and propose a new algorithm that accounts for this by using a weighted average of the target from CDQ and the target coming from a single critic.\n', 'The weighting parameter is adjusted during training such that the value estimates match the actual discounted return on the most recent episodes and by that it balances over- and underestimation.\n', 'Empirically, we obtain more accurate value estimates and demonstrate state of the art results on several OpenAI gym tasks.']
[1, 0, 0, 0, 0, 0]
[0.4166666567325592, 0.06896550953388214, 0.12121211737394333, 0.10526315122842789, 0.054054051637649536, 0.20689654350280762]
r1xyayrtDS
['A method for more accurate critic estimates in reinforcement learning.']
Reinforcement learning in an actor-critic setting relies on accurate value estimates of the critic., However, the combination of function approximation, temporal difference (TD) learning and off-policy training can lead to an overestimating value function., A solution is to use Clipped Double Q-learning (CDQ), which is used in the TD3 algorithm and computes the minimum of two critics in the TD-target. , We show that CDQ induces an underestimation bias and propose a new algorithm that accounts for this by using a weighted average of the target from CDQ and the target coming from a single critic. , The weighting parameter is adjusted during training such that the value estimates match the actual discounted return on the most recent episodes and by that it balances over- and underestimation. , Empirically, we obtain more accurate value estimates and demonstrate state of the art results on several OpenAI gym tasks.
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['We introduce a systematic framework for quantifying the robustness of classifiers to naturally occurring perturbations of images found in videos.', 'As part of this framework, we construct ImageNet-Vid-Robust, a human-expert--reviewed dataset of 22,668 images grouped into 1,145 sets of perceptually similar images derived from frames in the ImageNet Video Object Detection dataset.', 'We evaluate a diverse array of classifiers trained on ImageNet, including models trained for robustness, and show a median classification accuracy drop of 16\\%.', 'Additionally, we evaluate the Faster R-CNN and R-FCN models for detection, and show that natural perturbations induce both classification as well as localization errors, leading to a median drop in detection mAP of 14 points.', 'Our analysis shows that natural perturbations in the real world are heavily problematic for current CNNs, posing a significant challenge to their deployment in safety-critical environments that require reliable, low-latency predictions.']
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SklRoy3qaN
['We introduce a systematic framework for quantifying the robustness of classifiers to naturally occurring perturbations of images found in videos.']
We introduce a systematic framework for quantifying the robustness of classifiers to naturally occurring perturbations of images found in videos., As part of this framework, we construct ImageNet-Vid-Robust, a human-expert--reviewed dataset of 22,668 images grouped into 1,145 sets of perceptually similar images derived from frames in the ImageNet Video Object Detection dataset., We evaluate a diverse array of classifiers trained on ImageNet, including models trained for robustness, and show a median classification accuracy drop of 16\%., Additionally, we evaluate the Faster R-CNN and R-FCN models for detection, and show that natural perturbations induce both classification as well as localization errors, leading to a median drop in detection mAP of 14 points., Our analysis shows that natural perturbations in the real world are heavily problematic for current CNNs, posing a significant challenge to their deployment in safety-critical environments that require reliable, low-latency predictions.
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['Structured tabular data is the most commonly used form of data in industry according to a Kaggle ML and DS Survey.', 'Gradient Boosting Trees, Support Vector Machine, Random Forest, and Logistic Regression are typically used for classification tasks on tabular data.', 'The recent work of Super Characters method using two-dimensional word embedding achieved state-of-the-art results in text classification tasks, showcasing the promise of this new approach.', 'In this paper, we propose the SuperTML method, which borrows the idea of Super Characters method and two-dimensional embedding to address the problem of classification on tabular data.', 'For each input of tabular data, the features are first projected into two-dimensional embedding like an image, and then this image is fed into fine-tuned ImageNet CNN models for classification.', 'Experimental results have shown that the proposed SuperTML method have achieved state-of-the-art results on both large and small datasets.']
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r1MCjkn5pV
['Deep learning for structured tabular data machine learning using pre-trained CNN model from ImageNet.']
Structured tabular data is the most commonly used form of data in industry according to a Kaggle ML and DS Survey., Gradient Boosting Trees, Support Vector Machine, Random Forest, and Logistic Regression are typically used for classification tasks on tabular data., The recent work of Super Characters method using two-dimensional word embedding achieved state-of-the-art results in text classification tasks, showcasing the promise of this new approach., In this paper, we propose the SuperTML method, which borrows the idea of Super Characters method and two-dimensional embedding to address the problem of classification on tabular data., For each input of tabular data, the features are first projected into two-dimensional embedding like an image, and then this image is fed into fine-tuned ImageNet CNN models for classification., Experimental results have shown that the proposed SuperTML method have achieved state-of-the-art results on both large and small datasets.
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['Learning rich representations from predictive learning without labels has been a longstanding challenge in the field of machine learning.', 'Generative pre-training has so far not been as successful as contrastive methods in modeling representations of raw images.', 'In this paper, we propose a neural architecture for self-supervised representation learning on raw images called the PatchFormer which learns to model spatial dependencies across patches in a raw image.', 'Our method learns to model the conditional probability distribution of missing patches given the context of surrounding patches.', 'We evaluate the utility of the learned representations by fine-tuning the pre-trained model on low data-regime classification tasks.', 'Specifically, we benchmark our model on semi-supervised ImageNet classification which has become a popular benchmark recently for semi-supervised and self-supervised learning methods.', 'Our model is able to achieve 30.3% and 65.5% top-1 accuracies when trained only using 1% and 10% of the labels on ImageNet showing the promise for generative pre-training methods.']
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SJg1lxrYwS
['Decoding pixels can still work for representation learning on images']
Learning rich representations from predictive learning without labels has been a longstanding challenge in the field of machine learning., Generative pre-training has so far not been as successful as contrastive methods in modeling representations of raw images., In this paper, we propose a neural architecture for self-supervised representation learning on raw images called the PatchFormer which learns to model spatial dependencies across patches in a raw image., Our method learns to model the conditional probability distribution of missing patches given the context of surrounding patches., We evaluate the utility of the learned representations by fine-tuning the pre-trained model on low data-regime classification tasks., Specifically, we benchmark our model on semi-supervised ImageNet classification which has become a popular benchmark recently for semi-supervised and self-supervised learning methods., Our model is able to achieve 30.3% and 65.5% top-1 accuracies when trained only using 1% and 10% of the labels on ImageNet showing the promise for generative pre-training methods.
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['Adaptive regularization methods pre-multiply a descent direction by a preconditioning matrix.', 'Due to the large number of parameters of machine learning problems, full-matrix preconditioning methods are prohibitively expensive.', 'We show how to modify full-matrix adaptive regularization in order to make it practical and effective.', 'We also provide novel theoretical analysis\n', 'for adaptive regularization in non-convex optimization settings.', 'The core of our algorithm, termed GGT, consists of efficient inverse computation of square roots of low-rank matrices.', 'Our preliminary experiments underscore improved convergence rate of GGT across a variety of synthetic tasks and standard deep learning benchmarks.']
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[0.0, 0.0714285671710968, 0.14814814925193787, 0.0, 0.42105263471603394, 0.0, 0.0]
rkxd2oR9Y7
['fast, truly scalable full-matrix AdaGrad/Adam, with theory for adaptive stochastic non-convex optimization']
Adaptive regularization methods pre-multiply a descent direction by a preconditioning matrix., Due to the large number of parameters of machine learning problems, full-matrix preconditioning methods are prohibitively expensive., We show how to modify full-matrix adaptive regularization in order to make it practical and effective., We also provide novel theoretical analysis , for adaptive regularization in non-convex optimization settings., The core of our algorithm, termed GGT, consists of efficient inverse computation of square roots of low-rank matrices., Our preliminary experiments underscore improved convergence rate of GGT across a variety of synthetic tasks and standard deep learning benchmarks.
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['Dialogue systems require a great deal of different but complementary expertise to assist, inform, and entertain humans.', 'For example, different domains (e.g., restaurant reservation, train ticket booking) of goal-oriented dialogue systems can be viewed as different skills, and so does ordinary chatting abilities of chit-chat dialogue systems.', 'In this paper, we propose to learn a dialogue system that independently parameterizes different dialogue skills, and learns to select and combine each of them through Attention over Parameters (AoP).', 'The experimental results show that this approach achieves competitive performance on a combined dataset of MultiWOZ (Budzianowski et al., 2018), In-Car Assistant (Eric et al.,2017), and Persona-Chat (Zhang et al., 2018).', 'Finally, we demonstrate that each dialogue skill is effectively learned and can be combined with other skills to produce selective responses.']
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BJepraEFPr
['In this paper, we propose to learn a dialogue system that independently parameterizes different dialogue skills, and learns to select and combine each of them through Attention over Parameters (AoP). ']
Dialogue systems require a great deal of different but complementary expertise to assist, inform, and entertain humans., For example, different domains (e.g., restaurant reservation, train ticket booking) of goal-oriented dialogue systems can be viewed as different skills, and so does ordinary chatting abilities of chit-chat dialogue systems., In this paper, we propose to learn a dialogue system that independently parameterizes different dialogue skills, and learns to select and combine each of them through Attention over Parameters (AoP)., The experimental results show that this approach achieves competitive performance on a combined dataset of MultiWOZ (Budzianowski et al., 2018), In-Car Assistant (Eric et al.,2017), and Persona-Chat (Zhang et al., 2018)., Finally, we demonstrate that each dialogue skill is effectively learned and can be combined with other skills to produce selective responses.
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['Model distillation aims to distill the knowledge of a complex model into a simpler one.', 'In this paper, we consider an alternative formulation called dataset distillation: we keep the model fixed and instead attempt to distill the knowledge from a large training dataset into a small one.', 'The idea is to synthesize a small number of data points that do not need to come from the correct data distribution, but will, when given to the learning algorithm as training data, approximate the model trained on the original data.', 'For example, we show that it is possible to compress 60,000 MNIST training images into just 10 synthetic distilled images (one per class) and achieve close to the original performance, given a fixed network initialization.', 'We evaluate our method in various initialization settings. ', 'Experiments on multiple datasets, MNIST, CIFAR10, PASCAL-VOC, and CUB-200, demonstrate the ad-vantage of our approach compared to alternative methods. ', 'Finally, we include a real-world application of dataset distillation to the continual learning setting: we show that storing distilled images as episodic memory of previous tasks can alleviate forgetting more effectively than real images.']
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ryxO3gBtPB
['We propose to distill a large dataset into a small set of synthetic data that can train networks close to original performance. ']
Model distillation aims to distill the knowledge of a complex model into a simpler one., In this paper, we consider an alternative formulation called dataset distillation: we keep the model fixed and instead attempt to distill the knowledge from a large training dataset into a small one., The idea is to synthesize a small number of data points that do not need to come from the correct data distribution, but will, when given to the learning algorithm as training data, approximate the model trained on the original data., For example, we show that it is possible to compress 60,000 MNIST training images into just 10 synthetic distilled images (one per class) and achieve close to the original performance, given a fixed network initialization., We evaluate our method in various initialization settings. , Experiments on multiple datasets, MNIST, CIFAR10, PASCAL-VOC, and CUB-200, demonstrate the ad-vantage of our approach compared to alternative methods. , Finally, we include a real-world application of dataset distillation to the continual learning setting: we show that storing distilled images as episodic memory of previous tasks can alleviate forgetting more effectively than real images.
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['We relate the minimax game of generative adversarial networks (GANs) to finding the saddle points of the Lagrangian function for a convex optimization problem, where the discriminator outputs and the distribution of generator outputs play the roles of primal variables and dual variables, respectively.', 'This formulation shows the connection between the standard GAN training process and the primal-dual subgradient methods for convex optimization.', 'The inherent connection does not only provide a theoretical convergence proof for training GANs in the function space, but also inspires a novel objective function for training.', 'The modified objective function forces the distribution of generator outputs to be updated along the direction according to the primal-dual subgradient methods.', 'A toy example shows that the proposed method is able to resolve mode collapse, which in this case cannot be avoided by the standard GAN or Wasserstein GAN.', 'Experiments on both Gaussian mixture synthetic data and real-world image datasets demonstrate the performance of the proposed method on generating diverse samples.']
[0, 1, 0, 0, 0, 0]
[0.16326530277729034, 0.3125, 0.21052631735801697, 0.11764705181121826, 0.1463414579629898, 0.11428570747375488]
BJNRFNlRW
['We propose a primal-dual subgradient method for training GANs and this method effectively alleviates mode collapse.']
We relate the minimax game of generative adversarial networks (GANs) to finding the saddle points of the Lagrangian function for a convex optimization problem, where the discriminator outputs and the distribution of generator outputs play the roles of primal variables and dual variables, respectively., This formulation shows the connection between the standard GAN training process and the primal-dual subgradient methods for convex optimization., The inherent connection does not only provide a theoretical convergence proof for training GANs in the function space, but also inspires a novel objective function for training., The modified objective function forces the distribution of generator outputs to be updated along the direction according to the primal-dual subgradient methods., A toy example shows that the proposed method is able to resolve mode collapse, which in this case cannot be avoided by the standard GAN or Wasserstein GAN., Experiments on both Gaussian mixture synthetic data and real-world image datasets demonstrate the performance of the proposed method on generating diverse samples.
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['Specifying reward functions is difficult, which motivates the area of reward inference: learning rewards from human behavior.', 'The starting assumption in the area is that human behavior is optimal given the desired reward function, but in reality people have many different forms of irrationality, from noise to myopia to risk aversion and beyond.', 'This fact seems like it will be strictly harmful to reward inference: it is already hard to infer the reward from rational behavior, and noise and systematic biases make actions have less direct of a relationship to the reward.', 'Our insight in this work is that, contrary to expectations, irrationality can actually help rather than hinder reward inference.', 'For some types and amounts of irrationality, the expert now produces more varied policies compared to rational behavior, which help disambiguate among different reward parameters -- those that otherwise correspond to the same rational behavior.', 'We put this to the test in a systematic analysis of the effect of irrationality on reward inference.', 'We start by covering the space of irrationalities as deviations from the Bellman update, simulate expert behavior, and measure the accuracy of inference to contrast the different types and study the gains and losses.', 'We provide a mutual information-based analysis of our findings, and wrap up by discussing the need to accurately model irrationality, as well as to what extent we might expect (or be able to train) real people to exhibit helpful irrationalities when teaching rewards to learners.']
[0, 0, 0, 0, 0, 1, 0, 0]
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BJlo91BYPr
['We find that irrationality from an expert demonstrator can help a learner infer their preferences. ']
Specifying reward functions is difficult, which motivates the area of reward inference: learning rewards from human behavior., The starting assumption in the area is that human behavior is optimal given the desired reward function, but in reality people have many different forms of irrationality, from noise to myopia to risk aversion and beyond., This fact seems like it will be strictly harmful to reward inference: it is already hard to infer the reward from rational behavior, and noise and systematic biases make actions have less direct of a relationship to the reward., Our insight in this work is that, contrary to expectations, irrationality can actually help rather than hinder reward inference., For some types and amounts of irrationality, the expert now produces more varied policies compared to rational behavior, which help disambiguate among different reward parameters -- those that otherwise correspond to the same rational behavior., We put this to the test in a systematic analysis of the effect of irrationality on reward inference., We start by covering the space of irrationalities as deviations from the Bellman update, simulate expert behavior, and measure the accuracy of inference to contrast the different types and study the gains and losses., We provide a mutual information-based analysis of our findings, and wrap up by discussing the need to accurately model irrationality, as well as to what extent we might expect (or be able to train) real people to exhibit helpful irrationalities when teaching rewards to learners.
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['Natural Language Processing models lack a unified approach to robustness testing.', 'In this paper we introduce WildNLP - a framework for testing model stability in a natural setting where text corruptions such as keyboard errors or misspelling occur.', 'We compare robustness of models from 4 popular NLP tasks: Q&A, NLI, NER and Sentiment Analysis by testing their performance on aspects introduced in the framework.', 'In particular, we focus on a comparison between recent state-of-the- art text representations and non-contextualized word embeddings.', 'In order to improve robust- ness, we perform adversarial training on se- lected aspects and check its transferability to the improvement of models with various cor- ruption types.', 'We find that the high perfor- mance of models does not ensure sufficient robustness, although modern embedding tech- niques help to improve it.', 'We release cor- rupted datasets and code for WildNLP frame- work for the community.']
[0, 0, 1, 0, 0, 0, 0]
[0.1764705777168274, 0.04081632196903229, 0.8571428656578064, 0.09999999403953552, 0.1599999964237213, 0.1304347813129425, 0.1111111044883728]
SkxgBPr3iN
['We compare robustness of models from 4 popular NLP tasks: Q&A, NLI, NER and Sentiment Analysis by testing their performance on perturbed inputs.']
Natural Language Processing models lack a unified approach to robustness testing., In this paper we introduce WildNLP - a framework for testing model stability in a natural setting where text corruptions such as keyboard errors or misspelling occur., We compare robustness of models from 4 popular NLP tasks: Q&A, NLI, NER and Sentiment Analysis by testing their performance on aspects introduced in the framework., In particular, we focus on a comparison between recent state-of-the- art text representations and non-contextualized word embeddings., In order to improve robust- ness, we perform adversarial training on se- lected aspects and check its transferability to the improvement of models with various cor- ruption types., We find that the high perfor- mance of models does not ensure sufficient robustness, although modern embedding tech- niques help to improve it., We release cor- rupted datasets and code for WildNLP frame- work for the community.
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['Training generative models like Generative Adversarial Network (GAN) is challenging for noisy data.', 'A novel curriculum learning algorithm pertaining to clustering is proposed to address this issue in this paper.', 'The curriculum construction is based on the centrality of underlying clusters in data points. ', 'The data points of high centrality takes priority of being fed into generative models during training.', 'To make our algorithm scalable to large-scale data, the active set is devised, in the sense that every round of training proceeds only on an active subset containing a small fraction of already trained data and the incremental data of lower centrality.', 'Moreover, the geometric analysis is presented to interpret the necessity of cluster curriculum for generative models.', 'The experiments on cat and human-face data validate that our algorithm is able to learn the optimal generative models (e.g. ProGAN) with respect to specified quality metrics for noisy data.', 'An interesting finding is that the optimal cluster curriculum is closely related to the critical point of the geometric percolation process formulated in the paper.']
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BklTQCEtwH
['A novel cluster-based algorithm of curriculum learning is proposed to solve the robust training of generative models.']
Training generative models like Generative Adversarial Network (GAN) is challenging for noisy data., A novel curriculum learning algorithm pertaining to clustering is proposed to address this issue in this paper., The curriculum construction is based on the centrality of underlying clusters in data points. , The data points of high centrality takes priority of being fed into generative models during training., To make our algorithm scalable to large-scale data, the active set is devised, in the sense that every round of training proceeds only on an active subset containing a small fraction of already trained data and the incremental data of lower centrality., Moreover, the geometric analysis is presented to interpret the necessity of cluster curriculum for generative models., The experiments on cat and human-face data validate that our algorithm is able to learn the optimal generative models (e.g. ProGAN) with respect to specified quality metrics for noisy data., An interesting finding is that the optimal cluster curriculum is closely related to the critical point of the geometric percolation process formulated in the paper.
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['Backdoor attacks aim to manipulate a subset of training data by injecting adversarial triggers such that machine learning models trained on the tampered dataset will make arbitrarily (targeted) incorrect prediction on the testset with the same trigger embedded.', 'While federated learning (FL) is capable of aggregating information provided by different parties for training a better model, its distributed learning methodology and inherently heterogeneous data distribution across parties may bring new vulnerabilities.', 'In addition to recent centralized backdoor attacks on FL where each party embeds the same global trigger during training, we propose the distributed backdoor attack (DBA) --- a novel threat assessment framework developed by fully exploiting the distributed nature of FL.', 'DBA decomposes a global trigger pattern into separate local patterns and embed them into the training set of different adversarial parties respectively.', 'Compared to standard centralized backdoors, we show that DBA is substantially more persistent and stealthy against FL on diverse datasets such as finance and image data.', 'We conduct extensive experiments to show that the attack success rate of DBA is significantly higher than centralized backdoors under different settings.', 'Moreover, we find that distributed attacks are indeed more insidious, as DBA can evade two state-of-the-art robust FL algorithms against centralized backdoors.', 'We also provide explanations for the effectiveness of DBA via feature visual interpretation and feature importance ranking.\n', 'To further explore the properties of DBA, we test the attack performance by varying different trigger factors, including local trigger variations (size, gap, and location), scaling factor in FL, data distribution, and poison ratio and interval.', 'Our proposed DBA and thorough evaluation results shed lights on characterizing the robustness of FL.']
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rkgyS0VFvr
['We proposed a novel distributed backdoor attack on federated learning and show that it is not only more effective compared with standard centralized attacks, but also harder to be defended by existing robust FL methods']
Backdoor attacks aim to manipulate a subset of training data by injecting adversarial triggers such that machine learning models trained on the tampered dataset will make arbitrarily (targeted) incorrect prediction on the testset with the same trigger embedded., While federated learning (FL) is capable of aggregating information provided by different parties for training a better model, its distributed learning methodology and inherently heterogeneous data distribution across parties may bring new vulnerabilities., In addition to recent centralized backdoor attacks on FL where each party embeds the same global trigger during training, we propose the distributed backdoor attack (DBA) --- a novel threat assessment framework developed by fully exploiting the distributed nature of FL., DBA decomposes a global trigger pattern into separate local patterns and embed them into the training set of different adversarial parties respectively., Compared to standard centralized backdoors, we show that DBA is substantially more persistent and stealthy against FL on diverse datasets such as finance and image data., We conduct extensive experiments to show that the attack success rate of DBA is significantly higher than centralized backdoors under different settings., Moreover, we find that distributed attacks are indeed more insidious, as DBA can evade two state-of-the-art robust FL algorithms against centralized backdoors., We also provide explanations for the effectiveness of DBA via feature visual interpretation and feature importance ranking. , To further explore the properties of DBA, we test the attack performance by varying different trigger factors, including local trigger variations (size, gap, and location), scaling factor in FL, data distribution, and poison ratio and interval., Our proposed DBA and thorough evaluation results shed lights on characterizing the robustness of FL.
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['Graph networks have recently attracted considerable interest, and in particular in the context of semi-supervised learning.', 'These methods typically work by generating node representations that are propagated throughout a given weighted graph.\n\n', 'Here we argue that for semi-supervised learning, it is more natural to consider propagating labels in the graph instead.', 'Towards this end, we propose a differentiable neural version of the classic Label Propagation (LP) algorithm.', 'This formulation can be used for learning edge weights, unlike other methods where weights are set heuristically.', 'Starting from a layer implementing a single iteration of LP, we proceed by adding several important non-linear steps that significantly enhance the label-propagating mechanism.\n\n', 'Experiments in two distinct settings demonstrate the utility of our approach.\n']
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r1g7y2RqYX
['Neural net for graph-based semi-supervised learning; revisits the classics and propagates *labels* rather than feature representations']
Graph networks have recently attracted considerable interest, and in particular in the context of semi-supervised learning., These methods typically work by generating node representations that are propagated throughout a given weighted graph. , Here we argue that for semi-supervised learning, it is more natural to consider propagating labels in the graph instead., Towards this end, we propose a differentiable neural version of the classic Label Propagation (LP) algorithm., This formulation can be used for learning edge weights, unlike other methods where weights are set heuristically., Starting from a layer implementing a single iteration of LP, we proceed by adding several important non-linear steps that significantly enhance the label-propagating mechanism. , Experiments in two distinct settings demonstrate the utility of our approach.
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['Neural architecture search (NAS) has made rapid progress incomputervision,wherebynewstate-of-the-artresultshave beenachievedinaseriesoftaskswithautomaticallysearched neural network (NN) architectures.', 'In contrast, NAS has not made comparable advances in natural language understanding (NLU).', 'Corresponding to encoder-aggregator meta architecture of typical neural networks models for NLU tasks (Gong et al. 2018), we re-define the search space, by splittingitinto twoparts:encodersearchspace,andaggregator search space.', 'Encoder search space contains basic operations such as convolutions, RNNs, multi-head attention and its sparse variants, star-transformers.', 'Dynamic routing is included in the aggregator search space, along with max (avg) pooling and self-attention pooling.', 'Our search algorithm is then fulfilled via DARTS, a differentiable neural architecture search framework.', 'We progressively reduce the search space every few epochs, which further reduces the search time and resource costs.', 'Experiments on five benchmark data-sets show that, the new neural networks we generate can achieve performances comparable to the state-of-the-art models that does not involve language model pre-training.\n']
[0, 0, 1, 0, 0, 0, 0, 0]
[0.15789473056793213, 0.0, 0.4000000059604645, 0.09756097197532654, 0.09999999403953552, 0.21621620655059814, 0.14999999105930328, 0.1538461446762085]
rkgARFTUjB
['Neural Architecture Search for a series of Natural Language Understanding tasks. Design the search space for NLU tasks. And Apply differentiable architecture search to discover new models']
Neural architecture search (NAS) has made rapid progress incomputervision,wherebynewstate-of-the-artresultshave beenachievedinaseriesoftaskswithautomaticallysearched neural network (NN) architectures., In contrast, NAS has not made comparable advances in natural language understanding (NLU)., Corresponding to encoder-aggregator meta architecture of typical neural networks models for NLU tasks (Gong et al. 2018), we re-define the search space, by splittingitinto twoparts:encodersearchspace,andaggregator search space., Encoder search space contains basic operations such as convolutions, RNNs, multi-head attention and its sparse variants, star-transformers., Dynamic routing is included in the aggregator search space, along with max (avg) pooling and self-attention pooling., Our search algorithm is then fulfilled via DARTS, a differentiable neural architecture search framework., We progressively reduce the search space every few epochs, which further reduces the search time and resource costs., Experiments on five benchmark data-sets show that, the new neural networks we generate can achieve performances comparable to the state-of-the-art models that does not involve language model pre-training.
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['Network embedding (NE) methods aim to learn low-dimensional representations of network nodes as vectors, typically in Euclidean space.', 'These representations are then used for a variety of downstream prediction tasks.', 'Link prediction is one of the most popular choices for assessing the performance of NE methods.', 'However, the complexity of link prediction requires a carefully designed evaluation pipeline to provide consistent, reproducible and comparable results.', 'We argue this has not been considered sufficiently in recent works.', 'The main goal of this paper is to overcome difficulties associated with evaluation pipelines and reproducibility of results.', 'We introduce EvalNE, an evaluation framework to transparently assess and compare the performance of NE methods on link prediction.', 'EvalNE provides automation and abstraction for tasks such as hyper-parameter tuning, model validation, edge sampling, computation of edge embeddings and model validation.', 'The framework integrates efficient procedures for edge and non-edge sampling and can be used to easily evaluate any off-the-shelf embedding method.', 'The framework is freely available as a Python toolbox.', 'Finally, demonstrating the usefulness of EvalNE in practice, we conduct an empirical study in which we try to replicate and analyse experimental sections of several influential papers.']
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H1eJH3IaLN
['In this paper we introduce EvalNE, a Python toolbox for automating the evaluation of network embedding methods on link prediction and ensuring the reproducibility of results.']
Network embedding (NE) methods aim to learn low-dimensional representations of network nodes as vectors, typically in Euclidean space., These representations are then used for a variety of downstream prediction tasks., Link prediction is one of the most popular choices for assessing the performance of NE methods., However, the complexity of link prediction requires a carefully designed evaluation pipeline to provide consistent, reproducible and comparable results., We argue this has not been considered sufficiently in recent works., The main goal of this paper is to overcome difficulties associated with evaluation pipelines and reproducibility of results., We introduce EvalNE, an evaluation framework to transparently assess and compare the performance of NE methods on link prediction., EvalNE provides automation and abstraction for tasks such as hyper-parameter tuning, model validation, edge sampling, computation of edge embeddings and model validation., The framework integrates efficient procedures for edge and non-edge sampling and can be used to easily evaluate any off-the-shelf embedding method., The framework is freely available as a Python toolbox., Finally, demonstrating the usefulness of EvalNE in practice, we conduct an empirical study in which we try to replicate and analyse experimental sections of several influential papers.
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['Deep learning models can be efficiently optimized via stochastic gradient descent, but there is little theoretical evidence to support this.', 'A key question in optimization is to understand when the optimization landscape of a neural network is amenable to gradient-based optimization.', 'We focus on a simple neural network two-layer ReLU network with two hidden units, and show that all local minimizers are global.', 'This combined with recent work of Lee et al. (2017); Lee et al. (2016) show that gradient descent converges to the global minimizer.']
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B14uJzW0b
['Recovery guarantee of stochastic gradient descent with random initialization for learning a two-layer neural network with two hidden nodes, unit-norm weights, ReLU activation functions and Gaussian inputs.']
Deep learning models can be efficiently optimized via stochastic gradient descent, but there is little theoretical evidence to support this., A key question in optimization is to understand when the optimization landscape of a neural network is amenable to gradient-based optimization., We focus on a simple neural network two-layer ReLU network with two hidden units, and show that all local minimizers are global., This combined with recent work of Lee et al. (2017); Lee et al. (2016) show that gradient descent converges to the global minimizer.
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