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We consider the problem of explaining a class of tractable deep probabilistic models, the Sum-Product Networks (SPNs) and present an algorithm ExSPN to generate explanations. To this effect, we define the notion of a context-specific…

Machine Learning · Computer Science 2022-09-23 Athresh Karanam , Saurabh Mathur , Predrag Radivojac , David M. Haas , Kristian Kersting , Sriraam Natarajan

Techniques for understanding the functioning of complex machine learning models are becoming increasingly popular, not only to improve the validation process, but also to extract new insights about the data via exploratory analysis. Though…

Machine Learning · Statistics 2018-11-02 Jayaraman J. Thiagarajan , Irene Kim , Rushil Anirudh , Peer-Timo Bremer

Spiking Neural Networks (SNNs) capture some of the efficiency of biological brains for inference and learning via the dynamic, online, event-driven processing of binary time series. Most existing learning algorithms for SNNs are based on…

Machine Learning · Computer Science 2021-01-06 Hyeryung Jang , Osvaldo Simeone

The lack of transparency of Deep Neural Networks continues to be a limitation that severely undermines their reliability and usage in high-stakes applications. Promising approaches to overcome such limitations are Prototype-Based…

Machine Learning · Computer Science 2025-07-21 Jon Vadillo , Roberto Santana , Jose A. Lozano , Marta Kwiatkowska

While probabilistic models are an important tool for studying causality, doing so suffers from the intractability of inference. As a step towards tractable causal models, we consider the problem of learning interventional distributions…

Machine Learning · Computer Science 2021-10-26 Matej Zečević , Devendra Singh Dhami , Athresh Karanam , Sriraam Natarajan , Kristian Kersting

Spiking neural networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Machine Learning · Computer Science 2020-01-08 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Product unit neural networks (PUNNs) are powerful representational models with a strong theoretical basis, but have proven to be difficult to train with gradient-based optimizers. We present windowed product unit neural networks (WPUNNs), a…

Neural and Evolutionary Computing · Computer Science 2018-10-22 Luke B. Godfrey , Michael S. Gashler

Spiking Neural Networks (SNNs) as Machine Learning (ML) models have recently received a lot of attention as a potentially more energy-efficient alternative to conventional Artificial Neural Networks. The non-differentiability and sparsity…

Machine Learning · Computer Science 2025-12-05 Maximilian Gollwitzer , Felix Dietrich

This work investigates the ways in which deep learning methods can benefit from random projection (RP), a classic linear dimensionality reduction method. We focus on two areas where, as we have found, employing RP techniques can improve…

Machine Learning · Computer Science 2018-12-27 Piotr Iwo Wójcik

Spiking Neural Networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

In this work, we propose Sum-Product-Transform Networks (SPTN), an extension of sum-product networks that uses invertible transformations as additional internal nodes. The type and placement of transformations determine properties of the…

Machine Learning · Statistics 2020-05-05 Tomas Pevny , Vasek Smidl , Martin Trapp , Ondrej Polacek , Tomas Oberhuber

Existing methods for estimating uncertainty in deep learning tend to require multiple forward passes, making them unsuitable for applications where computational resources are limited. To solve this, we perform probabilistic reasoning over…

Machine Learning · Statistics 2020-12-08 Javier Antorán , James Urquhart Allingham , José Miguel Hernández-Lobato

Modern deep models for summarization attains impressive benchmark performance, but they are prone to generating miscalibrated predictive uncertainty. This means that they assign high confidence to low-quality predictions, leading to…

Computation and Language · Computer Science 2023-04-19 Polina Zablotskaia , Du Phan , Joshua Maynez , Shashi Narayan , Jie Ren , Jeremiah Liu

Reliable probability estimation is of crucial importance in many real-world applications where there is inherent (aleatoric) uncertainty. Probability-estimation models are trained on observed outcomes (e.g. whether it has rained or not, or…

It seems to be a pearl of conventional wisdom that parameter learning in deep sum-product networks is surprisingly fast compared to shallow mixture models. This paper examines the effects of overparameterization in sum-product networks on…

Machine Learning · Computer Science 2019-05-30 Martin Trapp , Robert Peharz , Franz Pernkopf

Deep neural networks (DNNs) have been widely applied to solve real-world regression problems. However, selecting optimal network structures remains a significant challenge. This study addresses this issue by linking neuron selection in DNNs…

Computation · Statistics 2025-09-30 Noah Yi-Ting Hung , Li-Hsiang Lin , Vince D. Calhoun

The spiking neural network (SNN), as a promising brain-inspired computational model with binary spike information transmission mechanism, rich spatially-temporal dynamics, and event-driven characteristics, has received extensive attention.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Yufei Guo , Xuhui Huang , Zhe Ma

Sum-Product Networks with complex probability distribution at the leaves have been shown to be powerful tractable-inference probabilistic models. However, while learning the internal parameters has been amply studied, learning complex leaf…

Machine Learning · Computer Science 2017-06-15 Mattia Desana , Christoph Schnörr

Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

Machine Learning · Computer Science 2026-03-03 Wenlong Chen

In recent years numerous methods have been developed to formally verify the robustness of deep neural networks (DNNs). Though the proposed techniques are effective in providing mathematical guarantees about the DNNs behavior, it is not…

Machine Learning · Computer Science 2023-02-01 Debangshu Banerjee , Avaljot Singh , Gagandeep Singh