We discuss an autoencoder model in which the encoding and decoding functions are implemented by decision trees. We use the soft decision tree where internal nodes realize soft multivariate splits given by a gating function and the overall output is the average of all leaves weighted by the gating values on their path. …
A model learns new tasks sequentially, using gating autoencoders to select relevant experts.
problem Learning new tasks without storing previous data, ensuring scalability and relevance.
method Sequential learning with gating autoencoders to select relevant experts for new tasks.
result The method selects the most relevant expert for a new task, improving efficiency and scalability.
Flexible priors improve VAE-based CF models for better user preference modeling.
problem Simplistic priors in VAEs limit user preference modeling and deeper representation learning.
method Incorporated flexible priors and gating mechanisms into VAEs for collaborative filtering.
result Flexible priors and gating mechanisms significantly improve recommendation performance.
Gradient descent on autoencoders can solve dictionary learning problems under certain conditions.
problem Recovering incoherent matrices and sparse vectors from observations.
method Rigorous analysis of gradient descent on autoencoder loss function.
result Gradient descent can solve dictionary learning problems under mild assumptions.
Quantum-assisted VAE improves similarity search in high-dimensional datasets.
problem Finding fast and memory-efficient similarity search in high-dimensional data.
method Construct a space-efficient search index based on the latent space of a Quantum-assisted Variational Autoencoder (QVAE).
result Real-world speedups and memory-efficient scaling to half a billion data points.
Linear Memory Network separates memory and function in RNNs.
problem Complex transduction problems requiring memory and input-output exploitation.
method Conceptual separation between memory and function, using feedforward and autoencoder components.
result Efficient training and competitive performance on polyphonic music datasets.
A new approach to quantum machine learning circuits reduces training difficulties.
problem Challenges in training deep quantum circuits due to flat training landscapes.
method Variable structure approach (VAns) to build ansatzes, applying rules for gate growth and removal.
result VAns successfully mitigates trainability and noise-related issues, improving performance in various applications.
The paper studies 4-qubit Clifford states and their properties.
problem Understanding the set and properties of 4-qubit Clifford states.
method Analyzing the 293760 4-qubit Clifford states, splitting them into 18 groups, and studying the action of CNOT gates and local gates.
result There are 293760 4-qubit Clifford states with specific entanglement entropies, and any pair can be connected with local gates and at most 3 CNOT gates.
Improved logistic MoE with sigmoid gate shows better sample efficiency.
problem Improving sample efficiency in logistic MoE models.
method Comprehensive analysis of multinomial logistic MoE with modified sigmoid gate, incorporating temperature parameter and using Euclidean score.
result The sigmoid gate leads to lower sample complexity than softmax gate for both parameter and expert estimation.
New method prepares 3-qubit states using local gates and controlled-Z gates.
problem Preparation of 3-qubit states using quantum gates.
method Uses Ry(θ) gates and controlled-Z gates, with an optimal number of controlled-Z gates. result Optimal number of controlled-Z gates for preparing 3-qubit states is four. A forget-gate-only LSTM outperforms standard LSTM on benchmark datasets.
problem The necessity of all gates in LSTM networks.
method A forget-gate-only LSTM with chrono-initialized biases.
result The forget-gate-only LSTM outperforms standard LSTM on MNIST and pMNIST datasets.
Adaptive framework predicts stock prices better during volatile periods.
problem Inability of standard prediction models to handle regime-dependent stock market behavior.
method Autoencoder-Gated Dual Node Transformers with Reinforcement Learning Control.
result 0.59% MAPE with adaptive system, compared to 0.80% for baseline.
Sigmoid gating is more sample efficient than softmax in mixture of experts.
problem Softmax gating leads to unnecessary competition among experts, causing representation collapse.
method Theoretical analysis of a regression framework with mixture of experts, identifying identifiability conditions and convergence rates.
result Sigmoid gating requires fewer samples to achieve the same expert estimation error as softmax gating.
In quantum computation, series of quantum gates have to be arranged in a predefined sequence that led to a quantum circuit in order to solve a particular problem. What if the sequence of quantum gates is known but both the problem to be solved and the outcome of the so defined quantum circuit remain in the shadow? This…
Proposes a new LSTM gate structure using bivariate Beta distribution.
problem Inflexibility of sigmoid gates in modeling multi-modality and skewness, and lack of modeling correlation between gates.
method Introduces a bivariate Beta distribution gate structure within LSTM cells.
result Empirically shows higher gradient values and improved model performance.
Bayesian method sparsifies gated RNNs, improving speed and interpretability.
problem Sparsifying neural networks to reduce complexity and improve performance.
method Bayesian approach to sparsify weights, neurons, and gates in LSTM architectures.
result Sparsified gated RNNs speed up forward pass and improve compression.
We sparsify gated RNNs by simplifying their structure.
problem Improving efficiency of RNNs by reducing their complexity.
method Adjust existing sparsification techniques to gated RNNs, sparsifying preactivations of gates.
result Simplified LSTM structure improves model performance and efficiency.
Gated attention improves model curvature, enhancing performance on nonlinear tasks.
problem Understanding the geometric implications of gating in attention mechanisms.
method Modeling attention outputs as Gaussian distributions and analyzing Fisher--Rao geometry.
result Gated attention enables non-flat geometries, including positively curved manifolds.
Improved RNNs with flexible gates using kernel activation functions.
problem Modeling long-term dependencies in sequential data.
method Designed a more flexible architecture with adaptable parameters using kernel activation functions.
result Improved accuracy with negligible computational cost and speed-up in training iterations.
Three GRU variants reduce parameters in RNNs, improving efficiency.
problem Reducing computational expense in RNNs.
method Three variants of GRU with reduced parameters in update and reset gates.
result Variant models perform similarly to original GRU RNN models.
Gated attention improves performance by using a hierarchical mixture of experts.
problem Improving performance of self-attention mechanisms in Transformers.
method Rigorously show that gated attention can be modeled as a hierarchical mixture of experts, providing a theoretical justification for its benefits.
result Gated attention is more sample-efficient than multi-head self-attention, requiring fewer data points to achieve the same estimation error.
Gating units in GRUs and LSTMs create slow modes and control phase-space complexity.
problem Training challenges in RNNs due to exploding or vanishing gradients.
method Random matrix theory and mean-field theory applied to GRUs and LSTMs.
result Gates in GRUs and LSTMs lead to accumulation of slow modes and control phase-space complexity.
Improved HMoE models using Laplace gating function enhance expert specialization and performance.
problem Improving performance of hierarchical mixture of experts models.
method Used Laplace gating function instead of Softmax in hierarchical mixture of experts models.
result Laplace gating function accelerates expert convergence and enhances specialization.
This paper introduces a flexible p-norm gating scheme to speed up deep neural networks training.
problem Training very deep neural networks is slow and challenging.
method Proposes a flexible p-norm gating scheme to control flow and speed up training. result Significantly improves learning speed in deep neural networks without extra overhead.
Single training run learns optimal VAE parameters for various β values.
problem Training VAEs with varying β values for optimal trade-off between distortion and rate.
method Introduced Multi-Rate VAE (MR-VAE) using hypernetworks to map β to optimal parameters.
result MR-VAEs can construct the full rate-distortion curve without additional training.
This study analyzes communication constraints in MoE architectures using information theory.
problem Communication constraints in Mixture-of-Experts (MoE) architectures.
method Developed a rate-distortion characterization of finite-rate gating in MoE architectures using information theory.
result Yielded capacity-aware limits for communication-constrained MoE systems.
Reduced-gate LSTM improves spatiotemporal prediction with less parameters.
problem Next-frame video prediction in deep learning.
method Predictive coding framework with reduced-gate convolutional LSTM.
result Reduced-gate model achieves equal or better accuracy with fewer parameters.
Paper proposes binary-valued gates for better LSTM training.
problem LSTMs struggle with soft gates, leading to unclear information flow.
method Introduces binary-valued gates to control information flow more clearly.
result Binary-valued gates improve LSTM performance and generalization.
This paper analyzes how gradient descent can learn parameters in mixture-of-experts models with gating.
problem Understanding parameter recovery in mixture-of-experts models with gating.
method Careful analysis of the optimization landscape and design of two distinct loss functions.
result Gradient descent can accurately learn parameters in mixture-of-experts models with gating.
GLCB uses Gated Linear Networks for online contextual bandits.
problem Online learning in contextual bandits with uncertainty estimation.
method Gated Linear Networks (GLNs) for prediction and uncertainty estimation.
result GLCB outperforms state-of-the-art methods in online contextual bandits.
Paper connects MoE and self-attention, proposing active-attention.
problem Improving efficiency and performance of self-attention mechanisms.
method Established connection between MoE and self-attention, analyzed quadratic gating functions, proposed active-attention mechanism.
result Active-attention outperforms standard self-attention in various tasks.
Solves challenges in estimating parameters of softmax gating Gaussian mixture models.
problem Identifiability issues and complex interactions in Gaussian mixture of experts.
method Proposes novel Voronoi loss functions and establishes convergence rates of MLE.
result Connects convergence rate of MLE to a solvability problem of polynomial equations.
A new LSTM model reduces state updates and improves convergence for long sequences.
problem Vanishing gradient problem in RNNs and slow convergence on long sequences.
method Gaussian-gated LSTM (g-LSTM) with a time gate to control neuron updates.
result The g-LSTM model reduces state updates and computes by at least 10x compared to an equivalent LSTM.
Channel gating reduces CNN computation cost by skipping ineffective feature regions.
problem Reducing computation cost in CNNs while maintaining accuracy.
method Dynamic, fine-grained pruning scheme that identifies and skips computation on ineffective feature regions.
result 2.7-8.0x reduction in FLOPs and 2.0-4.4x reduction in memory accesses with minimal accuracy loss.
LSTMs are explained as a weighted sum of context-independent functions.
problem Vanishing gradients in simple RNNs.
method Decouple LSTM gates from simple RNNs, computing an element-wise weighted sum of context-independent functions.
result Gating mechanism alone performs as well as an LSTM in most settings, suggesting more representational power.
Researchers create an exact entangling gate using braiding and measurement of Fibonacci anyons.
problem No known leakage-free entangling gate using braiding of Fibonacci anyons.
method Supplement braiding with measurement operations to produce an exact controlled rotation gate.
result Exact entangling gate on two qubits created using Fibonacci anyons and measurement.
A new method quantizes LSTM gate parameters without performance loss.
problem Quantization loss in LSTM gate parameters without performance degradation.
method Lossy quantization of gate parameters during training, weight parameters adjust to offset quantization loss.
result F1 score decreased by only 0.7% on Named Entity Recognition dataset.
Deep gated networks help understand training and generalization in deep learning.
problem Understanding the role of SGD in training and generalization of deep neural networks with ReLU activation.
method Developed deep gated networks (DGNs) as a framework to analyze training and generalization in DNNs with ReLU activation.
result Gate adaptation is key for generalization in deep neural networks.
Gradient Gating improves deep GNNs by modulating message passing updates.
problem Oversmoothing and performance degradation in deep GNNs.
method Gradient gating mechanism for multi-rate message passing.
result G2 framework alleviates oversmoothing and achieves state-of-the-art performance. Improved multimodal learning with Gated Multimodal Units.
problem Finding an intermediate representation from multiple data sources.
method Gated neural networks for multimodal fusion.
result GMU outperformed single-modality approaches and other fusion strategies.
The paper establishes convergence rates for MoE models in classification problems.
problem Understanding the behavior of MoE models in classification settings.
method Established convergence rates for density and parameter estimation in softmax gating multinomial logistic MoE models.
result Parameter estimation rates are significantly improved with a novel modified softmax gating function.
Improved neural networks with conditional gating and reduced computational cost.
problem Training large capacity neural networks with high accuracy and low computational cost.
method Fine-grained channel gating using batch-shaping and residual blocks.
result Conditional gating improves network accuracy and computational efficiency.
New insights into the top-K sparse softmax gating function for deep learning.
problem Understanding the theoretical effects of the top-K sparse softmax gating function on density and parameter estimations.
method Using a Gaussian mixture of experts, novel loss functions, and theoretical analysis.
result The convergence rates of density and parameter estimations are parametric under certain conditions, but slow under over-specified models.
Model accurately gates ocean microbes from high-frequency flow cytometry data.
problem Gating of high-frequency flow cytometry data for ocean microbes is challenging.
method Trend filtered mixture of experts with smooth parameter variation.
result Model accurately matches human-annotated gating and corrects errors.
A new method for differentiable structured sparsity improves neural network performance and sparsity.
problem Non-differentiability of structured sparsity penalties in neural networks.
method Introducing D-Gating, a differentiable approach to structured overparameterization. result The D-Gating objective converges to the L2,2/D-regularized loss and induces sparse learning dynamics. A trainable gate optimizes neural network selection and pruning.
problem Optimizing neural networks for specific tasks.
method Introduces a trainable gate function to make discrete selection problems differentiable.
result Efficiently optimizes arbitrary neural networks across various tasks.
The paper analyzes the role of ReLU gates in deep learning networks.
problem Understanding the role of gates in deep learning networks.
method Developed neural path features (NPF) and neural path values (NPV) to characterize the active sub-networks during training.
result The neural path kernel associated with NPFs is a fundamental quantity that characterizes the information stored in the gates of a DNN.
The paper analyzes convergence rates of softmax gating in MoE models.
problem The effectiveness and scalability of machine learning models using MoE.
method Convergence analysis of parameter and expert estimation under MoE with softmax gating and its variants.
result Theoretical results show polynomially many data points are needed for strong identifiability conditions, while exponential points are required for linear experts.