arXiv Machine Learning

CRISP: A Framework for Clause-Reconstructed Interpretable NeuroSymbolic Propositions

CRISP is a framework that reconstructs the last‑layer activation vector of binary neural teachers into Tsetlin Machine clauses, enabling a symbolic trace from input thresholds to teacher neurons. It sign‑binarizes penultimate activations and assigns an Individual TM to each neuron, representing each hidden bit with propositional clauses over Booleanized inputs. Experiments on MNIST, KMNIST, FashionMNIST, SVHN, and CIFAR‑10 show that this binarization preserves teacher accuracy while the main limitation is reconstruction error, with quartile one‑bit Booleanization achieving the best fidelity on SVHN.

arXiv AI
Sep 15

Certifiably Interpretable Training of ReLU-MLPs for Boolean Tasks with Guaranteed Truth-Table Generalization

The paper introduces MACCHIATO, a training algorithm that builds a ReLU‑MLP from partial truth‑table data while simultaneously constructing an explicit Boolean circuit over AND, OR, and XOR gates that certifies the network’s computation. The method iteratively projects residuals onto low‑dimensional Boolean classes, compiles the resulting circuit into a ReLU‑MLP, and uses logic minimization and influence‑based variable selection to achieve a six‑layer network with provable truth‑table error bounds. Experiments on synthetic random‑junta tasks show that these certified networks outperform Adam‑trained MLPs in data‑sparse or projection‑aligned regimes and complete faster than flat ESPRESSO in certain settings.

By Hrad Ghoukasian, Anastasis Kratsios
arXiv Computation and Language
Oct 19

Automatic Tensor-level Execution of Abstract Interpreters for Neural Networks

Neuton is a framework that automatically converts neuron‑level abstract interpreter specifications into tensor‑level executables, enabling the creation of new DNN certifiers without manual tensor programming. It introduces a stack‑based intermediate representation with shape analysis, domain‑specific rewrite rules for efficient tensor operations, and a novel sparse tensor format (gBCSR) tailored to certifier sparsity. The authors demonstrate that Neuton preserves neuron‑level semantics and evaluate it on eight certifiers across 32 DNN benchmarks, compiling four existing certifiers and producing executable implementations for four others, revealing new precision‑runtime trade‑offs such as SkipPoly matching DeepPoly’s precision while often running faster.

By Avaljot Singh, Yasmin Chandini Sarita, Aditya Mishra, Gagandeep Singh, Charith Mendis
arXiv AI
Oct 27

Extraction meets Distillation - cryptanalytic techniques to recover parameters from a Deep Neural Network

The paper investigates reconstructing fully connected neural networks by combining cryptanalytic weight-direction extraction with learning from predicted labels. It adapts ReLU extraction to Leaky ReLU, compares sign-search methods, and estimates biases and output layers, proving conditional bounds for direction recovery and sign selection. Experiments show that Leaky ReLU can recover 51–57 neurons in the deepest hidden layer of a large synthetic architecture, while ReLU recovers none, and that reconstructed models on CIFAR‑10 achieve high prediction agreement and outperform a distillation baseline on several functional metrics.

By Biprarshi Biswas, Arya Anshuman Ojha, Yubaraj Das, Devansh Khosla, Kamran Rais, Saankhya Samanta, Subhamoy Maitra, Pantelimon Stanica