5,489 machine learning methods and techniques
The goal of Triplet loss, in the context of Siamese Networks, is to maximize the joint probability among all score-pairs i.e. the product of all probabilities. By using its negative logarithm, we can get the loss formulation as follows: where the balance weight is used to keep the loss with the same scale for different number of instance sets.
GAN Least Squares Loss is a least squares loss function for generative adversarial networks. Minimizing this objective function is equivalent to minimizing the Pearson divergence. The objective function (here for LSGAN) can be defined as: where and are the labels for fake data and real data and denotes the value that wants to believe for fake data.
Local Response Normalization is a normalization layer that implements the idea of lateral inhibition. Lateral inhibition is a concept in neurobiology that refers to the phenomenon of an excited neuron inhibiting its neighbours: this leads to a peak in the form of a local maximum, creating contrast in that area and increasing sensory perception. In practice, we can either normalize within the same channel or normalize across channels when we apply LRN to convolutional neural networks. Where the size is the number of neighbouring channels used for normalization, is multiplicative factor, an exponent and an additive factor
Shrink and Fine-Tune
Shrink and Fine-Tune, or SFT, is a type of distillation that avoids explicit distillation by copying parameters to a student student model and then fine-tuning. Specifically it extracts a student model from the maximally spaced layers of a fine-tuned teacher. Each layer is copied fully from . For example, when creating a BART student with 3 decoder layers from the 12 encoder layer 12 decoder layer teacher, we copy the teacher’s full and decoder layers 0, 6, and 11 to the student. When deciding which layers to copy, we break ties arbitrarily; copying layers 0, 5, and 11 might work just as well. When copy only 1 decoder layer, we copy layer 0. This was found this to work better than copying layer 11. The impact of initialization on performance is measured experimentally in Section 6.1. After initialization, the student model continues to fine-tune on the summarization dataset, with the objective of minimizing .
Alternating Direction Method of Multipliers
The alternating direction method of multipliers (ADMM) is an algorithm that solves convex optimization problems by breaking them into smaller pieces, each of which are then easier to handle. It takes the form of a decomposition-coordination procedure, in which the solutions to small local subproblems are coordinated to find a solution to a large global problem. ADMM can be viewed as an attempt to blend the benefits of dual decomposition and augmented Lagrangian methods for constrained optimization. It turns out to be equivalent or closely related to many other algorithms as well, such as Douglas-Rachford splitting from numerical analysis, Spingarn’s method of partial inverses, Dykstra’s alternating projections method, Bregman iterative algorithms for l1 problems in signal processing, proximal methods, and many others. Text Source: https://stanford.edu/boyd/papers/pdf/admmdistrstats.pdf Image Source: here
Auxiliary Classifiers are type of architectural component that seek to improve the convergence of very deep networks. They are classifier heads we attach to layers before the end of the network. The motivation is to push useful gradients to the lower layers to make them immediately useful and improve the convergence during training by combatting the vanishing gradient problem. They are notably used in the Inception family of convolutional neural networks.
Local Interpretable Model-Agnostic Explanations
LIME, or Local Interpretable Model-Agnostic Explanations, is an algorithm that can explain the predictions of any classifier or regressor in a faithful way, by approximating it locally with an interpretable model. It modifies a single data sample by tweaking the feature values and observes the resulting impact on the output. It performs the role of an "explainer" to explain predictions from each data sample. The output of LIME is a set of explanations representing the contribution of each feature to a prediction for a single sample, which is a form of local interpretability. Interpretable models in LIME can be, for instance, linear regression or decision trees, which are trained on small perturbations (e.g. adding noise, removing words, hiding parts of the image) of the original model to provide a good local approximation.
Diffusion models applied to latent spaces, which are normally built with (Variational) Autoencoders.
Mixture of Experts
Autoencoders
An autoencoder is a type of artificial neural network used to learn efficient data codings in an unsupervised manner. The aim of an autoencoder is to learn a representation (encoding) for a set of data, typically for dimensionality reduction, by training the network to ignore signal “noise”. Along with the reduction side, a reconstructing side is learnt, where the autoencoder tries to generate from the reduced encoding a representation as close as possible to its original input, hence its name. Extracted from: Wikipedia Image source: Wikipedia
Independent Component Analysis
Independent component analysis (ICA) is a statistical and computational technique for revealing hidden factors that underlie sets of random variables, measurements, or signals. ICA defines a generative model for the observed multivariate data, which is typically given as a large database of samples. In the model, the data variables are assumed to be linear mixtures of some unknown latent variables, and the mixing system is also unknown. The latent variables are assumed nongaussian and mutually independent, and they are called the independent components of the observed data. These independent components, also called sources or factors, can be found by ICA. ICA is superficially related to principal component analysis and factor analysis. ICA is a much more powerful technique, however, capable of finding the underlying factors or sources when these classic methods fail completely. Extracted from (https://www.cs.helsinki.fi/u/ahyvarin/whatisica.shtml) Source papers: Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture90079-X) Independent component analysis, A new concept?90029-9) Independent component analysis: algorithms and applications00026-5)
Random Search replaces the exhaustive enumeration of all combinations by selecting them randomly. This can be simply applied to the discrete setting described above, but also generalizes to continuous and mixed spaces. It can outperform Grid search, especially when only a small number of hyperparameters affects the final performance of the machine learning algorithm. In this case, the optimization problem is said to have a low intrinsic dimensionality. Random Search is also embarrassingly parallel, and additionally allows the inclusion of prior knowledge by specifying the distribution from which to sample. Extracted from Wikipedia Source Paper Image Source: BERGSTRA AND BENGIO
Normalized Temperature-scaled Cross Entropy Loss
NT-Xent, or Normalized Temperature-scaled Cross Entropy Loss, is a loss function. Let denote the cosine similarity between two vectors and . Then the loss function for a positive pair of examples is : where {} is an indicator function evaluating to iff and denotes a temperature parameter. The final loss is computed across all positive pairs, both and , in a mini-batch. Source: SimCLR
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A HyperNetwork is a network that generates weights for a main network. The behavior of the main network is the same with any usual neural network: it learns to map some raw inputs to their desired targets; whereas the hypernetwork takes a set of inputs that contain information about the structure of the weights and generates the weight for that layer.
https://developer.nvidia.com/blog/flip-a-difference-evaluator-for-alternating-images/
Neural Tangent Kernel
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Spectral Normalization is a normalization technique used for generative adversarial networks, used to stabilize training of the discriminator. Spectral normalization has the convenient property that the Lipschitz constant is the only hyper-parameter to be tuned. It controls the Lipschitz constant of the discriminator by constraining the spectral norm of each layer . The Lipschitz norm is equal to , where is the spectral norm of the matrix ( matrix norm of ): which is equivalent to the largest singular value of . Therefore for a linear layer the norm is given by . Spectral normalization normalizes the spectral norm of the weight matrix so it satisfies the Lipschitz constraint :
Colorization is a self-supervision approach that relies on colorization as the pretext task in order to learn image representations.
Discrete Cosine Transform (DCT) is an orthogonal transformation method that decomposes an image to its spatial frequency spectrum. It expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies. It is used a lot in compression tasks, e..g image compression where for example high-frequency components can be discarded. It is a type of Fourier-related Transform, similar to discrete fourier transforms (DFTs), but only using real numbers. Image Credit: Wikipedia
Mixing Adam and SGD
This optimizer mix ADAM and SGD creating the MAS optimizer.
AdamW is a stochastic optimization method that modifies the typical implementation of weight decay in Adam, by decoupling weight decay from the gradient update. To see this, regularization in Adam is usually implemented with the below modification where is the rate of the weight decay at time : while AdamW adjusts the weight decay term to appear in the gradient update:
Dynamic Sparse Training
Dynamic sparse training methods train neural networks in a sparse manner, starting with an initial sparse mask, and periodically updating the mask based on some criteria.
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Gravity is a kinematic approach to optimization based on gradients.
LAMB is a a layerwise adaptive large batch optimization technique. It provides a strategy for adapting the learning rate in large batch settings. LAMB uses Adam as the base algorithm and then forms an update as: Unlike LARS, the adaptivity of LAMB is two-fold: (i) per dimension normalization with respect to the square root of the second moment used in Adam and (ii) layerwise normalization obtained due to layerwise adaptivity.
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k-Nearest Neighbors
-Nearest Neighbors is a clustering-based algorithm for classification and regression. It is a a type of instance-based learning as it does not attempt to construct a general internal model, but simply stores instances of the training data. Prediction is computed from a simple majority vote of the nearest neighbors of each point: a query point is assigned the data class which has the most representatives within the nearest neighbors of the point. Source of Description and Image: scikit-learn
AdaGrad is a stochastic optimization method that adapts the learning rate to the parameters. It performs smaller updates for parameters associated with frequently occurring features, and larger updates for parameters associated with infrequently occurring features. In its update rule, Adagrad modifies the general learning rate at each time step for every parameter based on the past gradients for : The benefit of AdaGrad is that it eliminates the need to manually tune the learning rate; most leave it at a default value of . Its main weakness is the accumulation of the squared gradients in the denominator. Since every added term is positive, the accumulated sum keeps growing during training, causing the learning rate to shrink and becoming infinitesimally small. Image: Alec Radford
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A capsule is an activation vector that basically executes on its inputs some complex internal computations. Length of these activation vectors signifies the probability of availability of a feature. Furthermore, the condition of the recognized element is encoded as the direction in which the vector is pointing. In traditional, CNN uses Max pooling for invariance activities of neurons, which is nothing except a minor change in input and the neurons of output signal will remains same.
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A Non-Local Block is an image block module used in neural networks that wraps a non-local operation. We can define a non-local block as: where is the output from the non-local operation and is a residual connection.
The GAN Hinge Loss is a hinge loss based loss function for generative adversarial networks:
One difficulty that arises with optimization of deep neural networks is that large parameter gradients can lead an SGD optimizer to update the parameters strongly into a region where the loss function is much greater, effectively undoing much of the work that was needed to get to the current solution. Gradient Clipping clips the size of the gradients to ensure optimization performs more reasonably near sharp areas of the loss surface. It can be performed in a number of ways. One option is to simply clip the parameter gradient element-wise before a parameter update. Another option is to clip the norm |||| of the gradient before a parameter update: where is a norm threshold. Source: Deep Learning, Goodfellow et al Image Source: Pascanu et al
Hyper-parameter optimization
In machine learning, a hyperparameter is a parameter whose value is used to control learning process, and HPO is the problem of choosing a set of optimal hyperparameters for a learning algorithm.
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Mutual Information Machine/Mask Image Modeling
Conditional Batch Normalization (CBN) is a class-conditional variant of batch normalization. The key idea is to predict the and of the batch normalization from an embedding - e.g. a language embedding in VQA. CBN enables the linguistic embedding to manipulate entire feature maps by scaling them up or down, negating them, or shutting them off. CBN has also been used in GANs to allow class information to affect the batch normalization parameters. Consider a single convolutional layer with batch normalization module for which pretrained scalars and are available. We would like to directly predict these affine scaling parameters from, e.g., a language embedding . When starting the training procedure, these parameters must be close to the pretrained values to recover the original ResNet model as a poor initialization could significantly deteriorate performance. Unfortunately, it is difficult to initialize a network to output the pretrained and . For these reasons, the authors propose to predict a change and on the frozen original scalars, for which it is straightforward to initialize a neural network to produce an output with zero-mean and small variance. The authors use a one-hidden-layer MLP to predict these deltas from a question embedding for all feature maps within the layer: So, given a feature map with channels, these MLPs output a vector of size . We then add these predictions to the and parameters: Finally, these updated and are used as parameters for the batch normalization: . The authors freeze all ResNet parameters, including and , during training. A ResNet consists of four stages of computation, each subdivided in several residual blocks. In each block, the authors apply CBN to the three convolutional layers.
Differentiable Architecture Search
Differentiable Architecture Search (DART) is a method for efficient architecture search. The search space is made continuous so that the architecture can be optimized with respect to its validation set performance through gradient descent.
Sharpness-Aware Minimization, or SAM, is a procedure that improves model generalization by simultaneously minimizing loss value and loss sharpness. SAM functions by seeking parameters that lie in neighborhoods having uniformly low loss value (rather than parameters that only themselves have low loss value).
Variational Dropout is a regularization technique based on dropout, but uses a variational inference grounded approach. In Variational Dropout, we repeat the same dropout mask at each time step for both inputs, outputs, and recurrent layers (drop the same network units at each time step). This is in contrast to ordinary Dropout where different dropout masks are sampled at each time step for the inputs and outputs alone.
Jigsaw is a self-supervision approach that relies on jigsaw-like puzzles as the pretext task in order to learn image representations.
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