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We present a novel particle flow for sampling called kernel variational inference flow (KVIF). KVIF do not require the explicit formula of the target distribution which is usually unknown in filtering problem. Therefore, it can be applied…

Optimization and Control · Mathematics 2025-09-24 Weiye Gan , Zhijun Zeng , Junqing Chen , Zuoqiang Shi

Computer model calibration involves using partial and imperfect observations of the real world to learn which values of a model's input parameters lead to outputs that are consistent with real-world observations. When calibrating models…

Methodology · Statistics 2023-10-31 Wenzhe Xu , Daniel B. Williamson , Frederic Hourdin , Romain Roehrig

Knowledge Graph Completion (KGC) aims at automatically predicting missing links for large-scale knowledge graphs. A vast number of state-of-the-art KGC techniques have got published at top conferences in several research fields, including…

Computation and Language · Computer Science 2020-07-10 Zhiqing Sun , Shikhar Vashishth , Soumya Sanyal , Partha Talukdar , Yiming Yang

Linear constraints are one of the most fundamental constraints in fields such as computer science, operations research and optimization. Many applications reduce to the task of model counting over integer linear constraints (MCILC). In this…

Artificial Intelligence · Computer Science 2025-09-18 Mingwei Zhang , Zhenhao Gu , Liangda Fang , Cunjing Ge , Ziliang Chen , Zhao-Rong Lai , Quanlong Guan

Given a CNF formula F on n variables, the problem of model counting or #SAT is to compute the number of satisfying assignments of F . Model counting is a fundamental but hard problem in computer science with varied applications. Recent…

Data Structures and Algorithms · Computer Science 2020-05-01 Kuldeep S. Meel , S. Akshay

The fast computation of large kernel sums is a challenging task, which arises as a subproblem in any kernel method. We approach the problem by slicing, which relies on random projections to one-dimensional subspaces and fast Fourier…

Numerical Analysis · Mathematics 2025-02-25 Johannes Hertrich , Tim Jahn , Michael Quellmalz

We consider the problems of weighted constrained sampling and weighted model counting, where we are given a propositional formula and a weight for each world. The first problem consists of sampling worlds with a probability proportional to…

Quantum Physics · Physics 2024-07-19 Fabrizio Riguzzi

We present a novel way to predict molecular conformers through a simple formulation that sidesteps many of the heuristics of prior works and achieves state of the art results by using the advantages of scale. By training a diffusion…

Chemical Physics · Physics 2024-05-13 Yuyang Wang , Ahmed A. Elhag , Navdeep Jaitly , Joshua M. Susskind , Miguel Angel Bautista

In this paper, we consider the knot matching problem arising in computational forestry. The knot matching problem is an important problem that needs to be solved to advance the state of the art in automatic strength prediction of lumber. We…

Applications · Statistics 2017-08-28 Seong-Hwan Jun , Samuel W. K. Wong , James V. Zidek , Alexandre Bouchard-Côté

Personalized instruction aims to provide learners with support that adapts to their individual knowledge and progress toward learning objectives. Discovering and tracing Knowledge Components (KCs) is an important step in building accurate…

Machine Learning · Computer Science 2026-04-02 Muntasir Hoq , Griffin Pitts , Tirth Bhatt , Aum Pandya , Andrew Lan , Peter Brusilovsky , Bita Akram

We give two results on PAC learning DNF formulas using membership queries in the challenging "distribution-free" learning framework, where learning algorithms must succeed for an arbitrary and unknown distribution over $\{0,1\}^n$. (1) We…

Data Structures and Algorithms · Computer Science 2025-05-27 Josh Alman , Shivam Nadimpalli , Shyamal Patel , Rocco A. Servedio

We present Distribution-aware Conformal Prediction (DCP), a unified framework integrating probabilistic predictors like Monte Carlo dropout, deep ensembles, and quantile regression with score-agnostic conformal calibration to produce valid…

Machine Learning · Computer Science 2026-05-27 Daniel Schweizer , Peter Kuhn , Jayant Sharma , Shivali Dubey , Malte von Ramin , Christoph Brockt-Haßauer

We introduce a method based on Conformal Prediction (CP) to quantify the uncertainty of full ranking algorithms. We focus on a specific scenario where $n+m$ items are to be ranked by some ``black box'' algorithm. It is assumed that the…

Machine Learning · Computer Science 2025-12-04 Jean-Baptiste Fermanian , Pierre Humbert , Gilles Blanchard

Satisfiability Modulo Counting (SMC) is a recently proposed general language to reason about problems integrating statistical and symbolic Artificial Intelligence. An SMC problem is an extended SAT problem in which the truth values of a few…

Artificial Intelligence · Computer Science 2025-06-19 Jinzhao Li , Nan Jiang , Yexiang Xue

Considering the difficulty of interpreting generative model output, there is significant current research focused on determining meaningful evaluation metrics. Several recent approaches utilize "precision" and "recall," borrowed from the…

Machine Learning · Computer Science 2025-02-28 Alexis Fox , Samarth Swarup , Abhijin Adiga

We propose a novel and efficient algorithm for the collaborative preference completion problem, which involves jointly estimating individualized rankings for a set of entities over a shared set of items, based on a limited number of…

Machine Learning · Statistics 2016-11-16 Suriya Gunasekar , Oluwasanmi Koyejo , Joydeep Ghosh

Do all instances need inference through the big models for a correct prediction? Perhaps not; some instances are easy and can be answered correctly by even small capacity models. This provides opportunities for improving the computational…

Computation and Language · Computer Science 2022-10-12 Neeraj Varshney , Chitta Baral

Kernel canonical correlation analysis (KCCA) is a nonlinear multi-view representation learning technique with broad applicability in statistics and machine learning. Although there is a closed-form solution for the KCCA objective, it…

Machine Learning · Computer Science 2016-03-01 Weiran Wang , Karen Livescu

We explore a generative machine learning-based approach for estimating multi-dimensional probability density functions (PDFs) in a target sample using a statistically independent but related control sample - a common challenge in particle…

Data Analysis, Statistics and Probability · Physics 2025-04-18 Eli Gendreau-Distler , Luc Le Pottier , Haichen Wang

In this paper we introduce a new approach for approximately counting in bounded degree systems with higher-order constraints. Our main result is an algorithm to approximately count the number of solutions to a CNF formula $\Phi$ when the…

Data Structures and Algorithms · Computer Science 2017-03-17 Ankur Moitra