Fingerprint-Based Virtual Screening Using Multiple Bioactive Reference Structures
|
|
|
- Deborah Cannon
- 9 years ago
- Views:
Transcription
1 Fingerprint-Based Virtual Screening Using Multiple Bioactive Reference Structures Jérôme Hert, Peter Willett and David J. Wilton (University of Sheffield, Sheffield, UK) Pierre Acklin, Kamal Azzaoui, Edgar Jacoby and Ansgar Schuffenhauer (Novartis Institutes for BioMedical Research, Basel, Switzerland)
2 Outlines Introduction to similarity-based virtual screening Extension to multiple reference structures Comparison of ranking methods Comparison of descriptors Turbo similarity searching Conclusions
3 Virtual screening Virtual screening involves scanning databases of compounds to find molecules that may exhibit some bioactivity of interest, so as to prioritise a screening programme
4 Similarity searching (1) Use of similarity measure to determine the degree of similarity between an active reference structure and each structure in the database Similarity property principle means that high-ranked structures are likely to have a similar activity to that of the reference structure
5 Similarity searching (2) How can existing methods be used when several diverse structures are available?
6 Project overview (1) Given a set of molecules of known activity, how can they be used to rank a database in order of decreasing probability of their exhibiting that activity? The various approaches have been evaluated in simulated virtual screening experiments on the MDDR database (ca. 102K molecules) using a range of different activity classes
7 Project overview (2) Use just 2D fingerprints (of various sorts) Use of the Tanimoto coefficient (will not consider the effect of different similarity coefficients)
8 Comparison of Methods Three distinct approaches have been investigated Single fingerprint methods Data fusion methods Substructural analysis methods
9 Single Fingerprint Methods (1) Two methods derived from the Stigmata approach Modal approach Weighted approach Modal / weighted fingerprint used as a query, with the Tanimoto coefficient being used to score molecules in the database
10 Single Fingerprint Methods (2) Training set of actives: mol 1: mol 2: mol 3: mol 4: mol 5: Modal at 40%: Weighted:
11 Data Fusion Methods (1) Combination of different rankings of the same sets of molecules with the expectation of improving decision This basic idea has been used previously with considerable success (also consensus scoring) by generating different rankings from the same molecule, using different similarity measures
12 Data Fusion Methods (2) Here, the different rankings come from different molecules but use the same, Tanimoto-based similarity measure Fusion of ranks Fusion of scores
13 Data Fusion Methods (3) Two fusion rules investigated SUM : N i = 1 s i MAX : Max ( ) s i
14 Substructural Analysis Methods (1) Classic substructural analysis (SSA): Training-set containing actives and inactives Weights calculated for each bit from the trainingset using a weighting scheme Sum of the weights for each bit present in a compound gives the score
15 Substructural Analysis Methods (2) Approximate substructural analysis without known inactives: Reference structures as training-set actives Approximate the training-set by the entire database Use of an appropriate weighting scheme that does not make explicit use of information about the inactives R1: log A T j j N N A T
16 Substructural Analysis Methods (3) Binary Kernel Discrimination (BKD): ( ) N d i ( ), j d i j i, j λ = 1 λ K, λ λ is a smoothing parameter that is optimised using the training-set active and inactive compounds Compounds are scored by: L A ( j) = i actives K K λ λ i inactives ( i, j) ( i, j)
17 Substructural Analysis Methods (4) Approximate BKD without known inactives Reference structures as training-set actives Set of 100 randomly chosen compounds from the database as training-set inactives (cf SSA approximation)
18 Experimental Details MDL Drug Data Report (MDDR) Database 11 activity classes selected 10 sets of 10 randomly chosen compounds from each activity 3 fingerprints investigated: 988-bit Unity, 1052-bit BCI, 2048-bit Daylight Results are average recalls at 5% over the 10 different trials
19 Results (1) Initial Experiments Best threshold for modal approach is 40% Best combination for data fusion is the combination of scores using the MAX fusion rule The three types of fingerprint give broadly comparable results
20 Results (2) The basic results obtained with the various methods have been compared with the average and the maximum of all individual, single-molecule similarity searches
21 Results (3) 70 Average recall at 5% (%) Modal Weighted SSA Data fusion BKD Single Max Single Mean
22 Comparison Of Descriptors Four different types of 2D descriptor investigated using the two best approaches from the initial part of the study Structural keys 1052-bit BCI fingerprints Hashed fingerprints 988-bit Unity fingerprints 2048-bit Daylight fingerprints 2048-bit Avalon fingerprints (internal Novartis system) Circular substructures ECFP_2, ECFP_4, FCFP_2, FCFP_4 Pharmacophore vectors
23 Pharmacophore Vectors: Similog Similog keys Atom typing scheme based on four properties: hydrogen-bond donor, hydrogen-bond acceptor, bulkiness and electropositivity Atom triplets of strings encoding absence and presence of properties, plus distance encoding form a DABE key Vector contains a count for each of the 8031 possible DABE keys
24 Pharmacophore Vectors: CATS CATS vectors Based on five atom types: hydrogen-bond acceptor, hydrogen-bond donor, positive, negative, lipophilic Correlation vector representation calculated by C V R T d = 1 A A A i= 1 j = 1 δ T ij, d
25 Results 70 BKD Data Fusion Average Recall at 5% (%) BCI Daylight Unity Avalon ECFP_2ECFP_4FCFP_2FCFP_4 Similog CATS
26 Turbo Similarity Searching (1) Similarity property principle: nearest neighbours are likely to exhibit the same activity as the reference structure Data fusion of multiple bioactive compounds is an effective way of improving the identification of active compounds
27 Turbo Similarity Searching (2) Reference structure Ranked list Nearest neighbours
28 Probability of being active vs Rank Probability of being active (%) Rank
29 Results Average recall at 5% (%) SS TSS-5 TSS-10 TSS-20 TSS-50 TSS-100 TSS-200
30 General conclusions This work has demonstrated two effective ways of using multiple active structures in 2D similarity searching (BKD and Data fusion) This work has also demonstrated the general effectiveness of the circular substructure descriptors (ECFP_4 in particular) Turbo similarity searching is a simple way of increasing the cost effectiveness of similarity searching
31 Acknowledgements Novartis Institutes for BioMedical Research for funding CINF Division for funding MDL Information Systems Inc. for the provision of the MDDR database Barnard Chemical Information Ltd., Daylight Chemical Information Systems Inc., the Royal Society, Tripos Inc., Scitegic Inc. and the Wolfson Foundation for software and laboratory support.
Nathan Brown. The Application of Consensus Modelling and Genetic Algorithms to Interpretable Discriminant Analysis. nathan.brown@novartis.
Nathan Brown [email protected] The Application of Consensus Modelling and Genetic Algorithms to Interpretable Discriminant Analysis Workshop Chemoinformatics in Europe: Research and Teaching 30
Computational Drug Repositioning by Ranking and Integrating Multiple Data Sources
Computational Drug Repositioning by Ranking and Integrating Multiple Data Sources Ping Zhang IBM T. J. Watson Research Center Pankaj Agarwal GlaxoSmithKline Zoran Obradovic Temple University Terms and
Cheminformatics and its Role in the Modern Drug Discovery Process
Cheminformatics and its Role in the Modern Drug Discovery Process Novartis Institutes for BioMedical Research Basel, Switzerland With thanks to my colleagues: J. Mühlbacher, B. Rohde, A. Schuffenhauer
Scoring Functions and Docking. Keith Davies Treweren Consultants Ltd 26 October 2005
Scoring Functions and Docking Keith Davies Treweren Consultants Ltd 26 October 2005 Overview Applications Docking Algorithms Scoring Functions Results Demonstration Docking Applications Drug Design Lead
Cheminformatics and Pharmacophore Modeling, Together at Last
Application Guide Cheminformatics and Pharmacophore Modeling, Together at Last SciTegic Pipeline Pilot Bridging Accord Database Explorer and Discovery Studio Carl Colburn Shikha Varma-O Brien Introduction
Preview of Period 2: Forms of Energy
Preview of Period 2: Forms of Energy 2.1 Forms of Energy How are forms of energy defined? 2.2 Energy Conversions What happens when energy is converted from one form into another form? 2.3 Efficiency of
Chapter 4: Computer Codes
Slide 1/30 Learning Objectives In this chapter you will learn about: Computer data Computer codes: representation of data in binary Most commonly used computer codes Collating sequence 36 Slide 2/30 Data
Introduction to Support Vector Machines. Colin Campbell, Bristol University
Introduction to Support Vector Machines Colin Campbell, Bristol University 1 Outline of talk. Part 1. An Introduction to SVMs 1.1. SVMs for binary classification. 1.2. Soft margins and multi-class classification.
Efficient Similarity Search over Encrypted Data
UT DALLAS Erik Jonsson School of Engineering & Computer Science Efficient Similarity Search over Encrypted Data Mehmet Kuzu, Saiful Islam, Murat Kantarcioglu Introduction Client Untrusted Server Similarity
Feature vs. Classifier Fusion for Predictive Data Mining a Case Study in Pesticide Classification
Feature vs. Classifier Fusion for Predictive Data Mining a Case Study in Pesticide Classification Henrik Boström School of Humanities and Informatics University of Skövde P.O. Box 408, SE-541 28 Skövde
Statistical Machine Learning
Statistical Machine Learning UoC Stats 37700, Winter quarter Lecture 4: classical linear and quadratic discriminants. 1 / 25 Linear separation For two classes in R d : simple idea: separate the classes
Technical Information
Technical Information Trials The questions for Progress Test in English (PTE) were developed by English subject experts at the National Foundation for Educational Research. For each test level of the paper
Search Taxonomy. Web Search. Search Engine Optimization. Information Retrieval
Information Retrieval INFO 4300 / CS 4300! Retrieval models Older models» Boolean retrieval» Vector Space model Probabilistic Models» BM25» Language models Web search» Learning to Rank Search Taxonomy!
An Information Retrieval using weighted Index Terms in Natural Language document collections
Internet and Information Technology in Modern Organizations: Challenges & Answers 635 An Information Retrieval using weighted Index Terms in Natural Language document collections Ahmed A. A. Radwan, Minia
How to create and interpret the predictive analysis of a compound
How to create and interpret the predictive analysis of a compound Platform with suite of tools Predict & understand biological effects of small molecules & compounds Predict targets and metabolites, potential
Austin Peay State University Department of Chemistry Chem 1111. The Use of the Spectrophotometer and Beer's Law
Purpose To become familiar with using a spectrophotometer and gain an understanding of Beer s law and it s relationship to solution concentration. Introduction Scientists use many methods to determine
Chapter 8 How to Do Chemical Calculations
Chapter 8 How to Do Chemical Calculations Chemistry is both a qualitative and a quantitative science. In the laboratory, it is important to be able to measure quantities of chemical substances and, as
Privacy Aspects in Big Data Integration: Challenges and Opportunities
Privacy Aspects in Big Data Integration: Challenges and Opportunities Peter Christen Research School of Computer Science, The Australian National University, Canberra, Australia Contact: [email protected]
Several Views of Support Vector Machines
Several Views of Support Vector Machines Ryan M. Rifkin Honda Research Institute USA, Inc. Human Intention Understanding Group 2007 Tikhonov Regularization We are considering algorithms of the form min
Data Visualization in Cheminformatics. Simon Xi Computational Sciences CoE Pfizer Cambridge
Data Visualization in Cheminformatics Simon Xi Computational Sciences CoE Pfizer Cambridge My Background Professional Experience Senior Principal Scientist, Computational Sciences CoE, Pfizer Cambridge
Molecular descriptors and chemometrics: a powerful combined tool for pharmaceutical, toxicological and environmental problems.
Molecular descriptors and chemometrics: a powerful combined tool for pharmaceutical, toxicological and environmental problems. Roberto Todeschini Milano Chemometrics and QSAR Research Group - Dept. of
1 o Semestre 2007/2008
Departamento de Engenharia Informática Instituto Superior Técnico 1 o Semestre 2007/2008 Outline 1 2 3 4 5 Outline 1 2 3 4 5 Exploiting Text How is text exploited? Two main directions Extraction Extraction
Azure Machine Learning, SQL Data Mining and R
Azure Machine Learning, SQL Data Mining and R Day-by-day Agenda Prerequisites No formal prerequisites. Basic knowledge of SQL Server Data Tools, Excel and any analytical experience helps. Best of all:
Classification of Fingerprints. Sarat C. Dass Department of Statistics & Probability
Classification of Fingerprints Sarat C. Dass Department of Statistics & Probability Fingerprint Classification Fingerprint classification is a coarse level partitioning of a fingerprint database into smaller
! E6893 Big Data Analytics Lecture 5:! Big Data Analytics Algorithms -- II
! E6893 Big Data Analytics Lecture 5:! Big Data Analytics Algorithms -- II Ching-Yung Lin, Ph.D. Adjunct Professor, Dept. of Electrical Engineering and Computer Science Mgr., Dept. of Network Science and
Signature verification using Kolmogorov-Smirnov. statistic
Signature verification using Kolmogorov-Smirnov statistic Harish Srinivasan, Sargur N.Srihari and Matthew J Beal University at Buffalo, the State University of New York, Buffalo USA {srihari,hs32}@cedar.buffalo.edu,[email protected]
Chapter 3. Mass Relationships in Chemical Reactions
Chapter 3 Mass Relationships in Chemical Reactions This chapter uses the concepts of conservation of mass to assist the student in gaining an understanding of chemical changes. Upon completion of Chapter
A Biologically Inspired Approach to Network Vulnerability Identification
A Biologically Inspired Approach to Network Vulnerability Identification Evolving CNO Strategies for CND Todd Hughes, Aron Rubin, Andrew Cortese,, Harris Zebrowitz Senior Member, Engineering Staff Advanced
SYMBOLS, FORMULAS AND MOLAR MASSES
SYMBOLS, FORMULAS AND MOLAR MASSES OBJECTIVES 1. To correctly write and interpret chemical formulas 2. To calculate molecular weights from chemical formulas 3. To calculate moles from grams using chemical
= 16.00 amu. = 39.10 amu
Using Chemical Formulas Objective 1: Calculate the formula mass or molar mass of any given compound. The Formula Mass of any molecule, formula unit, or ion is the sum of the average atomic masses of all
Risk & Fraud Management Solutions
Risk & Fraud Management Solutions Protect Your Business and Reduce Fraud Transaction Type Summary Last 14 days 150k 100k 50k 0k 26.11. 27.11. 28.11. 29.11. 30.11. 1.12. 2.12. 3.12. 4.12. 5.12. 6.12. 7.12.
Is 20TB really Big Data?
From Big Data to Chemical Information (RSC CICAG) 22 April 2015 London 100 million compounds, 100K protein structures, 2 million reactions, 1 million journal articles, 20 million patents and 15 billion
A Non-Linear Schema Theorem for Genetic Algorithms
A Non-Linear Schema Theorem for Genetic Algorithms William A Greene Computer Science Department University of New Orleans New Orleans, LA 70148 bill@csunoedu 504-280-6755 Abstract We generalize Holland
Classifying Large Data Sets Using SVMs with Hierarchical Clusters. Presented by :Limou Wang
Classifying Large Data Sets Using SVMs with Hierarchical Clusters Presented by :Limou Wang Overview SVM Overview Motivation Hierarchical micro-clustering algorithm Clustering-Based SVM (CB-SVM) Experimental
DESCRIPTIVE STATISTICS. The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses.
DESCRIPTIVE STATISTICS The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses. DESCRIPTIVE VS. INFERENTIAL STATISTICS Descriptive To organize,
The Mole Notes. There are many ways to or measure things. In Chemistry we also have special ways to count and measure things, one of which is the.
The Mole Notes I. Introduction There are many ways to or measure things. In Chemistry we also have special ways to count and measure things, one of which is the. A. The Mole (mol) Recall that atoms of
How to create a web-based molecular structure database with free software
How to create a web-based molecular structure database with free software Norbert Haider Department of Drug Synthesis Faculty of Life Sciences, University of Vienna [email protected] small molecules
DE 088 DISTANCE EDUCATION B.A.(PA) DEGREE EXAMINATION, DECEMBER 2014. BUSINESS COMMUNICATIONS. PART A (5 8 = 40 marks) Answer any FIVE questions.
ws 7 DE 088 13 DISTANCE EDUCATION B.A.(PA) DEGREE EXAMINATION, DECEMBER 2014. BUSINESS COMMUNICATIONS Time : Three hours Maximum : 100 marks PART A (5 8 = 40 marks) Answer any FIVE questions. 1. What is
The BBP Algorithm for Pi
The BBP Algorithm for Pi David H. Bailey September 17, 2006 1. Introduction The Bailey-Borwein-Plouffe (BBP) algorithm for π is based on the BBP formula for π, which was discovered in 1995 and published
Section 1.4 Place Value Systems of Numeration in Other Bases
Section.4 Place Value Systems of Numeration in Other Bases Other Bases The Hindu-Arabic system that is used in most of the world today is a positional value system with a base of ten. The simplest reason
Klaus-Robert Müller et al. Big Data and Machine Learning
Klaus-Robert Müller et al. Big Data and Machine Learning Some Remarks Machine Learning small data (expensive!) big data big data in neuroscience: BCI et al. social media data physics & materials Toward
Data, Measurements, Features
Data, Measurements, Features Middle East Technical University Dep. of Computer Engineering 2009 compiled by V. Atalay What do you think of when someone says Data? We might abstract the idea that data are
Document Image Retrieval using Signatures as Queries
Document Image Retrieval using Signatures as Queries Sargur N. Srihari, Shravya Shetty, Siyuan Chen, Harish Srinivasan, Chen Huang CEDAR, University at Buffalo(SUNY) Amherst, New York 14228 Gady Agam and
INTERNSHIP REPORT CSC410. Shantanu Chaudhary 2010CS50295
INTERNSHIP REPORT CSC410 Abstract This report is being presented as part of CSC410 course to describe the details of the internship done as part of the summer internship process of the IIT-Delhi curriculum.
CHARGED PARTICLES & MAGNETIC FIELDS - WebAssign
Name: Period: Due Date: Lab Partners: CHARGED PARTICLES & MAGNETIC FIELDS - WebAssign Purpose: Use the CP program from Vernier to simulate the motion of charged particles in Magnetic and Electric Fields
Comparison of Standard and Zipf-Based Document Retrieval Heuristics
Comparison of Standard and Zipf-Based Document Retrieval Heuristics Benjamin Hoffmann Universität Stuttgart, Institut für Formale Methoden der Informatik Universitätsstr. 38, D-70569 Stuttgart, Germany
Guide to Performance and Tuning: Query Performance and Sampled Selectivity
Guide to Performance and Tuning: Query Performance and Sampled Selectivity A feature of Oracle Rdb By Claude Proteau Oracle Rdb Relational Technology Group Oracle Corporation 1 Oracle Rdb Journal Sampled
Traceability System for Manufacturer Accountability
Traceability System for Manufacturer Accountability 250 Traceability System for Manufacturer Accountability Shinichi Kojima Hiroshi Nakanishi Kazuo Yoda Hiroshi Sora OVERVIEW: In recent years, regulations
RSA Question 2. Bob thinks that p and q are primes but p isn t. Then, Bob thinks Φ Bob :=(p-1)(q-1) = φ(n). Is this true?
RSA Question 2 Bob thinks that p and q are primes but p isn t. Then, Bob thinks Φ Bob :=(p-1)(q-1) = φ(n). Is this true? Bob chooses a random e (1 < e < Φ Bob ) such that gcd(e,φ Bob )=1. Then, d = e -1
Distances, Clustering, and Classification. Heatmaps
Distances, Clustering, and Classification Heatmaps 1 Distance Clustering organizes things that are close into groups What does it mean for two genes to be close? What does it mean for two samples to be
Adaptive Business Intelligence
Adaptive Business Intelligence Zbigniew Michalewicz 1 Business Intelligence What is Business Intelligence? Business Intelligence is a collection of tools, methods, technologies, and processes needed to
Hydrogen Bonds The electrostatic nature of hydrogen bonds
Hydrogen Bonds Hydrogen bonds have played an incredibly important role in the history of structural biology. Both the structure of DNA and of protein a-helices and b-sheets were predicted based largely
Practical Data Science with Azure Machine Learning, SQL Data Mining, and R
Practical Data Science with Azure Machine Learning, SQL Data Mining, and R Overview This 4-day class is the first of the two data science courses taught by Rafal Lukawiecki. Some of the topics will be
Data Mining and Visualization
Data Mining and Visualization Jeremy Walton NAG Ltd, Oxford Overview Data mining components Functionality Example application Quality control Visualization Use of 3D Example application Market research
ENHANCEMENTS TO SQL SERVER COLUMN STORES. Anuhya Mallempati #2610771
ENHANCEMENTS TO SQL SERVER COLUMN STORES Anuhya Mallempati #2610771 CONTENTS Abstract Introduction Column store indexes Batch mode processing Other Enhancements Conclusion ABSTRACT SQL server introduced
Automated Collaborative Filtering Applications for Online Recruitment Services
Automated Collaborative Filtering Applications for Online Recruitment Services Rachael Rafter, Keith Bradley, Barry Smyth Smart Media Institute, Department of Computer Science, University College Dublin,
Integrating Medicinal Chemistry and Computational Chemistry: The Molecular Forecaster Approach
Integrating Medicinal Chemistry and Computational Chemistry: The Molecular Forecaster Approach Molecular Forecaster Inc. www.molecularforecaster.com Company Profile Founded in 2010 by Dr. Eric Therrien
Pre-Masters. Science and Engineering
Pre-Masters Science and Engineering Science and Engineering Programme information Students enter the programme with a relevant first degree and study in English on a full-time basis for either 3 or 2 terms
NUMBER SYSTEMS. William Stallings
NUMBER SYSTEMS William Stallings The Decimal System... The Binary System...3 Converting between Binary and Decimal...3 Integers...4 Fractions...5 Hexadecimal Notation...6 This document available at WilliamStallings.com/StudentSupport.html
Lecture 2: Data Structures Steven Skiena. http://www.cs.sunysb.edu/ skiena
Lecture 2: Data Structures Steven Skiena Department of Computer Science State University of New York Stony Brook, NY 11794 4400 http://www.cs.sunysb.edu/ skiena String/Character I/O There are several approaches
DRUG repositioning, i.e. the prediction of novel therapeutic
IEEE ACM TRANS. ON COMP. BIOL. AND BIOINFORMATICS 1 Network-based Drug Ranking and Repositioning with respect to DrugBank Therapeutic Categories Matteo Re, and Giorgio Valentini Abstract Drug repositioning
American Journal of Engineering Research (AJER) 2013 American Journal of Engineering Research (AJER) e-issn: 2320-0847 p-issn : 2320-0936 Volume-2, Issue-4, pp-39-43 www.ajer.us Research Paper Open Access
1. Oxidation number is 0 for atoms in an element. 3. In compounds, alkalis have oxidation number +1; alkaline earths have oxidation number +2.
à xidation numbers In the Lewis model of bonding, when nonidentical atoms are bonded together, an important consideration is how the bonding electrons are apportioned between the atoms. There are two different
2x + y = 3. Since the second equation is precisely the same as the first equation, it is enough to find x and y satisfying the system
1. Systems of linear equations We are interested in the solutions to systems of linear equations. A linear equation is of the form 3x 5y + 2z + w = 3. The key thing is that we don t multiply the variables
Energy transformations
Energy transformations Objectives Describe examples of energy transformations. Demonstrate and apply the law of conservation of energy to a system involving a vertical spring and mass. Design and implement
Big Data Analytics CSCI 4030
High dim. data Graph data Infinite data Machine learning Apps Locality sensitive hashing PageRank, SimRank Filtering data streams SVM Recommen der systems Clustering Community Detection Web advertising
Understanding the Impact of Weights Constraints in Portfolio Theory
Understanding the Impact of Weights Constraints in Portfolio Theory Thierry Roncalli Research & Development Lyxor Asset Management, Paris [email protected] January 2010 Abstract In this article,
AP CHEMISTRY 2007 SCORING GUIDELINES. Question 2
AP CHEMISTRY 2007 SCORING GUIDELINES Question 2 N 2 (g) + 3 F 2 (g) 2 NF 3 (g) ΔH 298 = 264 kj mol 1 ; ΔS 298 = 278 J K 1 mol 1 The following questions relate to the synthesis reaction represented by the
Evaluation of educational open-source software using multicriteria decision analysis methods
1 Evaluation of educational open-source software using multicriteria decision analysis methods Georgia Paschalidou 1, Nikolaos Vesyropoulos 1, Vassilis Kostoglou 2, Emmanouil Stiakakis 1 and Christos K.
COMP 250 Fall 2012 lecture 2 binary representations Sept. 11, 2012
Binary numbers The reason humans represent numbers using decimal (the ten digits from 0,1,... 9) is that we have ten fingers. There is no other reason than that. There is nothing special otherwise about
CREATIVE EUROPE - MEDIA. Distribution and Sales Agents
CREATIVE EUROPE - MEDIA Distribution and Sales Agents KEY ELEMENTS To increase competitiveness of European companies and European films in global market To encourage circulation of European films across
Chemical Calculations: Formula Masses, Moles, and Chemical Equations
Chemical Calculations: Formula Masses, Moles, and Chemical Equations Atomic Mass & Formula Mass Recall from Chapter Three that the average mass of an atom of a given element can be found on the periodic
HOMEWORK # 2 SOLUTIO
HOMEWORK # 2 SOLUTIO Problem 1 (2 points) a. There are 313 characters in the Tamil language. If every character is to be encoded into a unique bit pattern, what is the minimum number of bits required to
COMP6053 lecture: Relationship between two variables: correlation, covariance and r-squared. [email protected]
COMP6053 lecture: Relationship between two variables: correlation, covariance and r-squared [email protected] Relationships between variables So far we have looked at ways of characterizing the distribution
Lecture 1: Course overview, circuits, and formulas
Lecture 1: Course overview, circuits, and formulas Topics in Complexity Theory and Pseudorandomness (Spring 2013) Rutgers University Swastik Kopparty Scribes: John Kim, Ben Lund 1 Course Information Swastik
1. Give the 16 bit signed (twos complement) representation of the following decimal numbers, and convert to hexadecimal:
Exercises 1 - number representations Questions 1. Give the 16 bit signed (twos complement) representation of the following decimal numbers, and convert to hexadecimal: (a) 3012 (b) - 435 2. For each of
Paper 1 (7404/1): Inorganic and Physical Chemistry Mark scheme
AQA Qualifications AS Chemistry Paper (7404/): Inorganic and Physical Chemistry Mark scheme 7404 Specimen paper Version 0.6 MARK SCHEME AS Chemistry Specimen paper Section A 0. s 2 2s 2 2p 6 3s 2 3p 6
How To Understand The Chemistry Of A 2D Structure
Finding Better Leads using Molecular Fields Sally Rose, Tim Cheeseright, Cresset BioMolecular Discovery Ltd 2D drawings are a ubiquitous representation for molecular structures. Despite this, they provide
Fast Contextual Preference Scoring of Database Tuples
Fast Contextual Preference Scoring of Database Tuples Kostas Stefanidis Department of Computer Science, University of Ioannina, Greece Joint work with Evaggelia Pitoura http://dmod.cs.uoi.gr 2 Motivation
Lecture 3: Models of Solutions
Materials Science & Metallurgy Master of Philosophy, Materials Modelling, Course MP4, Thermodynamics and Phase Diagrams, H. K. D. H. Bhadeshia Lecture 3: Models of Solutions List of Symbols Symbol G M
1 Solving LPs: The Simplex Algorithm of George Dantzig
Solving LPs: The Simplex Algorithm of George Dantzig. Simplex Pivoting: Dictionary Format We illustrate a general solution procedure, called the simplex algorithm, by implementing it on a very simple example.
Notes on Complexity Theory Last updated: August, 2011. Lecture 1
Notes on Complexity Theory Last updated: August, 2011 Jonathan Katz Lecture 1 1 Turing Machines I assume that most students have encountered Turing machines before. (Students who have not may want to look
A LEVEL H446 COMPUTER SCIENCE. Code Challenges (1 20) August 2015
A LEVEL H446 COMPUTER SCIENCE Code Challenges (1 20) August 2015 We will inform centres about any changes to the specification. We will also publish changes on our website. The latest version of our specification
Exploiting the Amazon.com People Who Bought Also Bought Algorithm in Reagent Selection. Christian Tyrchan, Niklas Falk and Jonas Boström
Exploiting the Amazon.com People Who Bought Also Bought Algorithm in Reagent Selection Christian Tyrchan, iklas Falk and Jonas Boström Setting the Scene The current trend is that drug discovery projects
CHAPTER 3 SECURITY CONSTRAINED OPTIMAL SHORT-TERM HYDROTHERMAL SCHEDULING
60 CHAPTER 3 SECURITY CONSTRAINED OPTIMAL SHORT-TERM HYDROTHERMAL SCHEDULING 3.1 INTRODUCTION Optimal short-term hydrothermal scheduling of power systems aims at determining optimal hydro and thermal generations
A survey on click modeling in web search
A survey on click modeling in web search Lianghao Li Hong Kong University of Science and Technology Outline 1 An overview of web search marketing 2 An overview of click modeling 3 A survey on click models
In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.
MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target
Sample Exercise 8.1 Magnitudes of Lattice Energies
Sample Exercise 8.1 Magnitudes of Lattice Energies Without consulting Table 8.2, arrange the ionic compounds NaF, CsI, and CaO in order of increasing lattice energy. Analyze From the formulas for three
Class #6: Non-linear classification. ML4Bio 2012 February 17 th, 2012 Quaid Morris
Class #6: Non-linear classification ML4Bio 2012 February 17 th, 2012 Quaid Morris 1 Module #: Title of Module 2 Review Overview Linear separability Non-linear classification Linear Support Vector Machines
