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Peter's Projects

matrix_oo icon matrix_oo

Object-oriented matrix implementation in C99

maxentropy icon maxentropy

Maximum entropy and minimum divergence models in Python

ml-road icon ml-road

Machine Learning Resources, Practice and Research

mlapp icon mlapp

Machine Learning: a Probabilistic Perspective

mlapp-cn icon mlapp-cn

A Chinese Notes of MLAPP,MLAPP 中文笔记项目 https://zhuanlan.zhihu.com/python-kivy

numpy icon numpy

The fundamental package for scientific computing with Python.

ocp icon ocp

Optimal control problem solver

onepy icon onepy

Python Backtesting library for OnePiece in trading.

onlinelowrank icon onlinelowrank

Source code for the AAAI 2020 paper "Pursuit of Low-Rank Models of Time-Varying Matrices Robust to Sparse and Measurement Noise" (https://arxiv.org/abs/1809.03550)

opentrade icon opentrade

An open source OEMS, and algorithmic trading platform in modern C++

parallelsparsematrixfactorization icon parallelsparsematrixfactorization

Sparse Matrix Factorization (SMF) is a key component in many machine learning problems and there exist a verity a applications in real-world problems such as recommendation systems, estimating missing values, gene expression modeling, intelligent tutoring systems (ITSs), etc. There are different approaches to tackle with SMF rooted in linear algebra and probability theory. In this project, given an incomplete binary matrix of students’ performances over a set of questions, estimating the probability of success or fail over unanswered questions is of interest. This problem is formulated using Maximum Likelihood Estimation (MLE) which leads to a biconvex optimization problem (this formulation is based on SPARFA [4]). The resulting optimization problem is a hard problem to deal with due to the existence of many local minima. On the other hand, when the size of the matrix of students’ performances increase, the existing algorithms are not successful; therefore, an efficient algorithm is required to solve this problem for large matrices. In this project, a parallel algorithm (i.e., a parallel version of SPARFA) is developed to solve the biconvex optimization problem and tested via a number of generated matrices. Keywords: parallel non-convex optimization, matrix factorization, sparse factor analysis 1 Introduction Educational systems have witnessed a substantial transition from traditional educational methods mainly using text books, lectures, etc. to newly developed systems which are artificial intelligent- based systems and personally tailored to the learners [4]. Personalized Learning Systems (PLSs) and Intelligent Tutoring Systems (ITSs) are two more well-known instances of such recently developed educational systems. PLSs take into account learners’ individual characteristics then customize the learning experience to the learners’ current situation and needs [2]. As computerized learning environments, ITSs model and track student learning states [1, 6, 7]. Latent Factor Model and Bayesian Knowledge Tracing are main classes in ITSs [3]. These new approaches encompass computational models from different disciplines including cognitive and learning sciences, education, 1 computational linguistics, artificial intelligence, operations research, and other fields. More details can be found in [1, 4–6]. Recently, [4] developed a new machine learning-based model for learning analytics, which approximate a students knowledge of the concepts underlying a domain, and content analytics, which estimate the relationships among a collection of questions and those concepts. This model calculates the probability that a learner provides the correct response to a question in terms of three factors: their understanding of a set of underlying concepts, the concepts involved in each question, and each questions intrinsic difficulty [4]. They proposed a bi-convex maximum-likelihood-based solution to the resulting SPARse Factor Analysis (SPARFA) problem. However, the scalability of SPARFA when the number of questions and students significantly increase has not been studied yet.

phd-bibliography icon phd-bibliography

References on Optimal Control, Reinforcement Learning and Motion Planning

pipe icon pipe

A simple thread-safe FIFO in C.

portfolio.optimization icon portfolio.optimization

:exclamation: This is a read-only mirror of the CRAN R package repository. portfolio.optimization — Contemporary Portfolio Optimization. Homepage: http://www.finance-r.com/

prism icon prism

a strategy trading backtester, quant, backtesting.

prophet icon prophet

Financial markets analysis framework for programmers

psgexpress icon psgexpress

:exclamation: This is a read-only mirror of the CRAN R package repository. PSGExpress — Portfolio Safeguard: Optimization, Statistics and Risk Management. Homepage: http://www.aorda.com

pslrhmm icon pslrhmm

Parallel sparse left-right hidden markov model c++ library.

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