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PLDI 2021
Sun 20 - Sat 26 June 2021 PLDI

We consider the fundamental problem of deriving quantitative bounds on the probability that a given assertion is violated in a probabilistic program. We provide automated algorithms that obtain both lower and upper bounds on the assertion violation probability. The main novelty of our approach is that we prove new and dedicated fixed-point theorems which serve as the theoretical basis of our algorithms and enable us to reason about assertion violation bounds in terms of pre and post fixed-point functions. To synthesize such fixed-points, we devise algorithms that utilize a wide range of mathematical tools, including repulsing ranking supermartingales, Hoeffding's lemma, Minkowski decompositions, Jensen's inequality, and convex optimization. On the theoretical side, we provide (i) the first automated algorithm for lower-bounds on assertion violation probabilities, (ii) the first complete algorithm for upper-bounds of exponential form in affine programs, and (iii) provably and significantly tighter upper-bounds than the previous approaches. On the practical side, we show our algorithms can handle a wide variety of programs from the literature and synthesize bounds that are remarkably tighter than previous results, in some cases by thousands of orders of magnitude.

Fri 25 Jun

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09:00 - 09:40
Talks 5A: Machine Learning and Probabilistic ProgrammingPLDI at PLDI-A +12h
09:00
5m
Talk
DeepCuts: A Deep Learning Optimization Framework for Versatile GPU Workloads
PLDI
Wookeun Jung Seoul National University, Thanh Tuan Dao Seoul National University, Jaejin Lee Seoul National University
DOI
09:05
5m
Talk
Provable Repair of Deep Neural Networks
PLDI
Matthew Sotoudeh University of California at Davis, Aditya V. Thakur University of California at Davis
DOI Pre-print Media Attached
09:10
5m
Talk
DreamCoder: Bootstrapping Inductive Program Synthesis with Wake-Sleep Library Learning
PLDI
Kevin Ellis Cornell University, Catherine Wong Massachusetts Institute of Technology, Maxwell Nye Massachusetts Institute of Technology, Mathias Sablé-Meyer PSL University; Collège de France; NeuroSpin, Lucas Morales Massachusetts Institute of Technology, Luke Hewitt Massachusetts Institute of Technology, Luc Cary Massachusetts Institute of Technology, Armando Solar-Lezama Massachusetts Institute of Technology, Joshua B. Tenenbaum Massachusetts Institute of Technology
DOI
09:15
5m
Talk
Specification Synthesis with Constrained Horn Clauses
PLDI
Sumanth Prabhu TCS Research, Grigory Fedyukovich Florida State University, Kumar Madhukar TCS Research, Deepak D'Souza IISc Bangalore
DOI
09:20
5m
Talk
Compiling Stan to Generative Probabilistic Languages and Extension to Deep Probabilistic Programming
PLDI
Guillaume Baudart Inria, Javier Burroni University of Massachusetts Amherst, Martin Hirzel IBM Research, Louis Mandel IBM Research, USA, Avraham Shinnar IBM Research
DOI
09:25
5m
Talk
Sound Probabilistic Inference via Guide Types
PLDI
Di Wang Carnegie Mellon University, Jan Hoffmann Carnegie Mellon University, Thomas Reps University of Wisconsin
DOI
09:30
5m
Talk
SPPL: Probabilistic Programming with Fast Exact Symbolic Inference
PLDI
Feras Saad Massachusetts Institute of Technology, Martin C. Rinard Massachusetts Institute of Technology, Vikash K. Mansinghka Massachusetts Institute of Technology
DOI
09:35
5m
Talk
Quantitative Analysis of Assertion Violations in Probabilistic Programs
PLDI
Jinyi Wang Shanghai Jiao Tong University, Yican Sun Peking University, Hongfei Fu Shanghai Jiao Tong University, Krishnendu Chatterjee IST Austria, Amir Kafshdar Goharshady Hong Kong University of Science and Technology
DOI
21:00 - 21:40
Talks 5A: Machine Learning and Probabilistic ProgrammingPLDI at PLDI-A
21:00
5m
Talk
DeepCuts: A Deep Learning Optimization Framework for Versatile GPU Workloads
PLDI
Wookeun Jung Seoul National University, Thanh Tuan Dao Seoul National University, Jaejin Lee Seoul National University
DOI
21:05
5m
Talk
Provable Repair of Deep Neural Networks
PLDI
Matthew Sotoudeh University of California at Davis, Aditya V. Thakur University of California at Davis
DOI Pre-print Media Attached
21:10
5m
Talk
DreamCoder: Bootstrapping Inductive Program Synthesis with Wake-Sleep Library Learning
PLDI
Kevin Ellis Cornell University, Catherine Wong Massachusetts Institute of Technology, Maxwell Nye Massachusetts Institute of Technology, Mathias Sablé-Meyer PSL University; Collège de France; NeuroSpin, Lucas Morales Massachusetts Institute of Technology, Luke Hewitt Massachusetts Institute of Technology, Luc Cary Massachusetts Institute of Technology, Armando Solar-Lezama Massachusetts Institute of Technology, Joshua B. Tenenbaum Massachusetts Institute of Technology
DOI
21:15
5m
Talk
Specification Synthesis with Constrained Horn Clauses
PLDI
Sumanth Prabhu TCS Research, Grigory Fedyukovich Florida State University, Kumar Madhukar TCS Research, Deepak D'Souza IISc Bangalore
DOI
21:20
5m
Talk
Compiling Stan to Generative Probabilistic Languages and Extension to Deep Probabilistic Programming
PLDI
Guillaume Baudart Inria, Javier Burroni University of Massachusetts Amherst, Martin Hirzel IBM Research, Louis Mandel IBM Research, USA, Avraham Shinnar IBM Research
DOI
21:25
5m
Talk
Sound Probabilistic Inference via Guide Types
PLDI
Di Wang Carnegie Mellon University, Jan Hoffmann Carnegie Mellon University, Thomas Reps University of Wisconsin
DOI
21:30
5m
Talk
SPPL: Probabilistic Programming with Fast Exact Symbolic Inference
PLDI
Feras Saad Massachusetts Institute of Technology, Martin C. Rinard Massachusetts Institute of Technology, Vikash K. Mansinghka Massachusetts Institute of Technology
DOI
21:35
5m
Talk
Quantitative Analysis of Assertion Violations in Probabilistic Programs
PLDI
Jinyi Wang Shanghai Jiao Tong University, Yican Sun Peking University, Hongfei Fu Shanghai Jiao Tong University, Krishnendu Chatterjee IST Austria, Amir Kafshdar Goharshady Hong Kong University of Science and Technology
DOI