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Variational inference using the reparameterization trick has enabled large-scale approximate Bayesian inference in complex probabilistic models, leveraging stochastic optimization to sidestep intractable expectations. The reparameterization…

机器学习 · 统计学 2020-02-13 Christian A. Naesseth , Francisco J. R. Ruiz , Scott W. Linderman , David M. Blei

Learning models with categorical variables requires optimizing expectations over discrete distributions, a setting in which stochastic gradient-based optimization is challenging due to the non-differentiability of categorical sampling. A…

机器学习 · 计算机科学 2026-02-10 Samson Gourevitch , Alain Durmus , Eric Moulines , Jimmy Olsson , Yazid Janati

Variational optimization of orbitals in time-independent density functional calculations of excited electronic states presents a significant challenge, as excited states typically correspond to saddle points on the electronic energy…

化学物理 · 物理学 2026-04-02 Yorick L. A. Schmerwitz , Elli Selenius , Gianluca Levi

The Gumbel trick is a method to sample from a discrete probability distribution, or to estimate its normalizing partition function. The method relies on repeatedly applying a random perturbation to the distribution in a particular way, each…

机器学习 · 统计学 2017-06-14 Matej Balog , Nilesh Tripuraneni , Zoubin Ghahramani , Adrian Weller

The rapid increase in the parameters of deep learning models has led to significant costs, challenging computational efficiency and model interpretability. In this paper, we introduce a novel and straightforward neural network pruning…

机器学习 · 计算机科学 2023-11-23 Zhang Zhang , Ruyi Tao , Jiang Zhang

The reparameterization trick is widely used in variational inference as it yields more accurate estimates of the gradient of the variational objective than alternative approaches such as the score function method. Although there is…

机器学习 · 统计学 2018-12-31 Ming Xu , Matias Quiroz , Robert Kohn , Scott A. Sisson

Discrete and especially binary random variables occur in many machine learning models, notably in variational autoencoders with binary latent states and in stochastic binary networks. When learning such models, a key tool is an estimator of…

机器学习 · 计算机科学 2021-10-18 Alexander Shekhovtsov

Natural language processing (NLP) models often require a massive number of parameters for word embeddings, resulting in a large storage or memory footprint. Deploying neural NLP models to mobile devices requires compressing the word…

计算与语言 · 计算机科学 2017-11-20 Raphael Shu , Hideki Nakayama

Learning to control the structure of sentences is a challenging problem in text generation. Existing work either relies on simple deterministic approaches or RL-based hard structures. We explore the use of structured variational…

计算与语言 · 计算机科学 2020-12-01 Yao Fu , Chuanqi Tan , Bin Bi , Mosha Chen , Yansong Feng , Alexander M. Rush

The reparameterization trick enables optimizing large scale stochastic computation graphs via gradient descent. The essence of the trick is to refactor each stochastic node into a differentiable function of its parameters and a random…

机器学习 · 计算机科学 2017-03-07 Chris J. Maddison , Andriy Mnih , Yee Whye Teh

In the context of regularized loss minimization with polyhedral gauges, we show that for a broad class of loss functions (possibly non-smooth and non-convex) and under a simple geometric condition on the input data it is possible to…

机器学习 · 统计学 2020-12-01 Amin Jalali

The ability of learning disentangled representations represents a major step for interpretable NLP systems as it allows latent linguistic features to be controlled. Most approaches to disentanglement rely on continuous variables, both for…

计算与语言 · 计算机科学 2021-09-16 Giangiacomo Mercatali , André Freitas

Recent studies have demonstrated the strong empirical performance of diffusion models on discrete sequences across domains from natural language to biological sequence generation. For example, in the protein inverse folding task,…

In this paper, we develop a new optimization framework for the least squares learning problem via fully connected neural networks or physics-informed neural networks. The gradient descent sometimes behaves inefficiently in deep learning…

机器学习 · 计算机科学 2025-05-01 Yaru Liu , Yiqi Gu , Michael K. Ng

Direct optimization is an appealing framework that replaces integration with optimization of a random objective for approximating gradients in models with discrete random variables. A$^\star$ sampling is a framework for optimizing such…

机器学习 · 计算机科学 2020-10-26 Guy Lorberbom , Chris J. Maddison , Nicolas Heess , Tamir Hazan , Daniel Tarlow

Numerous models for supervised and reinforcement learning benefit from combinations of discrete and continuous model components. End-to-end learnable discrete-continuous models are compositional, tend to generalize better, and are more…

机器学习 · 计算机科学 2023-07-27 David Friede , Mathias Niepert

We study the implicit regularization of gradient descent towards structured sparsity via a novel neural reparameterization, which we call a diagonally grouped linear neural network. We show the following intriguing property of our…

机器学习 · 统计学 2023-01-31 Jiangyuan Li , Thanh V. Nguyen , Chinmay Hegde , Raymond K. W. Wong

The use of directly modulated lasers (DMLs) is attractive in low-power, cost-constrained short-reach optical links. However, their limited modulation bandwidth can induce waveform distortion, undermining their data throughput. Traditional…

信号处理 · 电气工程与系统科学 2024-06-21 Sergio Hernandez F. , Christophe Peucheret , Francesco Da Ros , Darko Zibar

We aim at computing the derivative of the solution to a parametric optimization problem with respect to the involved parameters. For a class broader than that of strongly convex functions, this can be achieved by automatic differentiation…

最优化与控制 · 数学 2019-10-15 Sheheryar Mehmood , Peter Ochs

Important applications such as mobile computing require reducing the computational costs of neural network inference. Ideally, applications would specify their preferred tradeoff between accuracy and speed, and the network would optimize…

计算机视觉与模式识别 · 计算机科学 2020-11-25 Charles Herrmann , Richard Strong Bowen , Ramin Zabih