Logical Credal Networks

Authors: Radu Marinescu, Haifeng Qian, Alexander Gray, Debarun Bhattacharjya, Francisco Barahona, Tian Gao, Ryan Riegel, Pravinda Sahu

NeurIPS 2022 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental We evaluate our proposed approach on random LCNs as well as benchmark problems derived from Mastermind puzzles with uncertainty and a realistic credit card fraud detection application. All our experiments were run on a 2.6GHz CPU with 32GB of RAM.
Researcher Affiliation Industry Radu Marinescu IBM Research radu.marinescu@ie.ibm.com Haifeng Qian AWS AI Labs qianhf@amazon.com Alexander Gray IBM Research alexander.gray@ibm.com Debarun Bhattacharjya IBM Research debarunb@us.ibm.com Francisco Barahona IBM Research barahon@us.ibm.com Tian Gao IBM Research tgao@us.ibm.com Ryan Riegel IBM Research ryan.riegel@ibm.com Pravinda Sahu IBM Consulting pravisah@in.ibm.com
Pseudocode No The paper describes algorithms but does not include structured pseudocode or algorithm blocks.
Open Source Code Yes The source code is included in the supplementary material
Open Datasets Yes We consider a realistic credit card fraud detection task based on the UCSD-FICO Data Mining Contest dataset [13]
Dataset Splits No The paper describes training and test splits for the credit card fraud detection dataset, but it does not explicitly provide details about a validation dataset split for any of the experiments.
Hardware Specification Yes All our experiments were run on a 2.6GHz CPU with 32GB of RAM.
Software Dependencies No The paper mentions using 'ipopt [31]' as a non-linear solver, but it does not specify a version number for this or any other software dependency.
Experiment Setup Yes For our purpose, we generate random LCNs with n propositional variables {x1, . . . , xn} and n + 3 sentences of the form l P(xi) u and l P(xi|xj) u, where l, u [0, 1] and u l 0.3. For each problem size n, we generate 10 random instances and for each instance we select 5 different pairs of variables (xi = xj) to formulate 4 queries per pair. (from Section 4.1) ... The LCN based formulation assumes that sentences (19) (21) are annotated with τ = False so that they do not imply dependency among the li variables. (from Section 4.2) ... For each formula and each of the 10 test sets, we measured the conditional probability that the consequent is true given that the antecedent is true. We took the min and max over the test sets and obtain the following probability intervals for the three rules: [0.65, 0.74] for (22), [0.31, 0.66] for (23) and [0.44, 0.72] for (24), respectively. (from Section 4.3)