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Foundations of Software Fall 2020 Week 8 Plan PREVIOUSLY: unit, sequencing, let, pairs, sums TODAY: 1. recursion 2. state 3. ??? NEXT: exceptions? NEXT: polymorphic (not so simple) typing Recursion Recursion in λ→ ▶In λ→, all programs terminate. (Cf. Chapter 12.) ▶Hence, untyped terms like omega and fix are not typable...
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1 Cours No 12 Cours No 12 Propriétés Electriques Matériaux: de la chimie aux propriétés - Faculté STI F. Sorin (MX) Ecole Polytechnique Fédérale de Lausanne Génie électrique et électronique Microtechnique 2 Examen Mercredi 19 Juin 08h15 – 11h15 Salles CE1, CE2, CE3, CE4, CE5 (Je vous enverrai un email avec la répartiti...
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Aerial Robots Aerial Swarms Drone Light Shows Centralized = agents transmit individual position to ground computer and receive next location (Image: Amir Cohen/Reuters) Collective Motion in nature Decentralized = agents rely on local information and computation SWARM OF BEES SCHOOL OF FISH HERD OF SHEEP Collective Moti...
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165 IEEE Signal Processing Magazine | September 2017 | lecture notes Alessandro Artusi, Thomas Richter, Touradj Ebrahimi, and Rafał K. Mantiuk 1053-5888/17©2017IEEE High Dynamic Range Imaging Technology I n this lecture note, we describe high dynamic range (HDR) imaging systems. Such systems are able to represent lu­ m...
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Digital Logic Circuits Registers and Counters CS-173 Fundamentals of Digital Systems Mirjana Stojilović Spring 2025 Previously on FDS Sequential logic 2 CS-173, © EPFL, Spring 2025 3 Previously Discovered memory elements • SR latch, D latch, D flip-flop Introduced a clock signal • The heartbeat of digital circuits D...
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1 Modèles stochastiques pour les communications Prof. Matthias Grossglauser Prof. Patrick Thiran LCA-I&C : résultat d’une expérience = 3, 5, 17 : évènement Ω = tous les ζ: évènement certain ∅= {}: évènement impossible Probabilité: (): probabilité de l’évènement () ≥0 Ω = 1 Si ∩= ∅, alors ∪= + Si 1, 2, … tel q...
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Multimedia Signal Processing Group Ecole Polytechnique Fédérale de Lausanne 1 Restitution and rendering Prof. Dr. Touradj Ebrahimi Touradj.Ebrahimi@epfl.ch Multimedia Signal Processing Group Ecole Polytechnique Fédérale de Lausanne 2 Image processing chain Scene Acquisition Processing Restitution Human visual system Mu...
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1 2 In computer security the study of attacks (besides a lot of fun) is the path to better understand threats on systems in order to build better defences. Besides, from a practical perspective, being a good attacker gives high chances to find a job. Traditional attacks are on systems and software (so‐called pentesting...
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Info theory Lucie / Simon January 21, 2018 1 Reminders 1.1 Markov chains U1 -U2 -. -Un form a Markov chain if p(u1, ., un) = p(u1)p(u2|u1)p(u3|u2).p(un|un-1) ⇔for every k1, (U1, ., Uk-1) are independent of (Uk+1, Uk+2, .) when conditioned on Uk. 1.2 Stochastic process A stochastic process is a collection U1, .Un of RVs...
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CS 307 – Fall 2018 Lec.05 - Slide 1 CS 307 Memory Consistency I Fall 2018 Prof. Babak Falsafi parsa.epfl.ch/courses/cs307 Adapted from slides originally developed by Profs. Falsafi, Patterson, Wenisch, Fatahalian of CMU/EPFL, Michigan, UC Berkeley, and CMU Copyright 2018 CS 307 – Fall 2018 Lec.05 - Slide 2 Where are We...
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Digital Logic Circuits Intro to CAD and Verilog CS-173 Fundamentals of Digital Systems Mirjana Stojilović Spring 2025 Previously on FDS Arithmetic circuits 2 CS-173, © EPFL, Spring 2025 3 Previously Implemented +/- arithmetic circuits using logic gates • Basic building blocks: full adder and subtractor • N-bit ripple-...
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From Euclid to Hilbert (2/2): Bases, Expansions and Matrix Representations Mathematical Foundations of Signal Processing Dr. Matthieu Simeoni October 20, 2021 2 Table of contents 1 Introduction Motivation Objectives and Reading Material 2 Basis Representations Riesz Bases Synthesis, Analysis and Gram Operators Generali...
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Analog Circuits and Systems 6. Operational Amplifiers (OPAMPs) Christian Enz Integrated Circuits Lab (ICLAB), Institute of Microengineering (IMT), School of Engineering (STI) Swiss Federal Institute of Technology, Lausanne (EPFL), Switzerland I C L A B Introduction Linear Dependent Sources Analysis of Circuits with ...
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Statistics for Data Science - Week 9 Tomas Rubin Institute of Mathematics – EPFL tomas.rubin@epfl.ch Tomas Rubin (EPFL) Statistics for Data Science - Week 9 1 / 32 Distribution Theory of Least Squares Tomas Rubin (EPFL) Statistics for Data Science - Week 9 2 / 32 Sampling Distribution of Least Squares Estimators Gaussi...
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Chapter 4 Representing Functions 4.1 Robinson Arithmetic We start by describing a first order theory called Robinson Arithmetic. Definition 1.1: Robinson Arithmetic The signature of the language is LA “ t0, S, `, ¨u where ˝ 0 is a constant symbol, ˝ S is a unary function symbola, ˝ ` and ¨ are binary function symbolsb. T...
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Wulfram Gerstner EPFL, Lausanne, Switzerland Reinforcement Learning Lecture 5 Policy Gradient and Actor-Critic Methods Objectives: Reinforcement Learning in Deep Artificial Neural Networks REINFORCE with BASELINE algorithm Actor-Critic algorithm Eligibility traces for policy gradient Model-based versus Model-free RL Pa...
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Week 13 Data Protection for Personalized Health (Part 2 of 2) Prof. Jean-Pierre Hubaux Laboratory for Data Security With gratitude to the biomedical and CS researchers I have the privilege to work with and special thanks to David Froelicher, Christian Mouchet, Jean Louis Raisaro, Sinem Sav and Juan Troncoso-Pastoriza w...
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Combinatorial Number Theory LECTURE NOTES Contents 1 Ramsey’s Theorem 3 1.1 Ramsey’s Theorem for graphs3 1.2 Ramsey’s Theorem for 2-sets5 1.3 Schur’s Theorem7 1.4 Ramsey’s Theorem for k-sets9 1.5 Erd˝os-Szekeres’ Theorem on convex polygons10 1.6 Erd˝os-Szekeres’ Theorem on monotone paths13 2 Van der Waerden’s Theorem 1...
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Image Processing Chapter 6 Directional Image Analysis and Processing Prof. Michael Unser, LIB February 2024 Unser / Image Processing 6- CONTENT ■6.1 Mathematical foundations ■Rotation in the Fourier transform ■Radon transform ■Rotation of polynomials ■Directional derivatives ■6.2 Local directional analysis ■Structure t...
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SecurityandPrivacy E-voting bugs 15.12.2020 Ph. Oechslin com-402 - bugs and conclusions - E-voting bugs 1 Intrusion tests and code publication As part of the certification of Post’s completely verifiable e-voting protcol the source code was published then a public intrusion test was carried out. The code publication sh...
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What makes a Virtual Human Alive ? 1. Avatar & Autonomous Virtual Humans 2. The complexity of expressive movements 3. From artificial to real: the uncanny valley 4. Motion capture is part of the solution (offline) 5. Perception of real-time animation 6. Core real-time VH believability factors 7. Other R&D efforts & exe...
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Efforts dans les Engrenages Coniques à Denture Droite Efforts sur les dents: Fr et Fa ne participent pas a la transmission du couple Efforts dans les Engrenages Coniques à Denture Droite Données: Roue 1: Z1=20 Roue 2: Z2=40 Module: m=8mm a = 20deg b = 50mm = 1500tr/min P=100kW Efforts dans les Engrenages Coniques à De...
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CS 307 – Fall 2018 Lec.07 - Slide 1 CS307 Synchronization Fall 2018 Prof. Babak Falsafi parsa.epfl.ch/courses/cs307 Adapted from slides originally developed by Profs. Falsafi, Fatahalian, Mowry, Wenisch of CMU, Michigan Copyright 2018 CS 307 – Fall 2018 Lec.07 - Slide 2 Where are We? M T W T F 17.Sep 18.Sep 19.Sep 20.S...
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RGL Realistic Graphics Lab CS-328: Numerical Methods for Visual Computing Lecture 4: Regularization, QR Factorization Wenzel Jakob CS-328 RGL Realistic Graphics Lab 2 2. Linear systems, LU 6. Eigenanalysis, SVD 4. Least squares, QR 5. Writing efficient numerical code 1. Floating Point arithmetic & error 8. Aut. differenti...
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Motion Capture for full-body interaction 1. Background on full-body motion capture – Example of a film production – Example of real-time interaction 2. Posture reconstruction – Analytic IK – Jacobian-based IK 3. Collision avoidance 4. Other examples of full-body interaction video3 • Usual approach with proxy / god-obje...
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WEEK 5: INTRODUCTION TO CRYPTOGRAPHY (TEXTBOOK CHAPTER 6) Prof. Bixio Rimoldi Spring Semester 2019 Last update: 19.03.2019 249 / 532 WHY CRYPTOGRAPHY Cryptography serves two purposes: ▶Privacy: Preventing that sensitive information lands in the wrong hands. ▶Authenticity: Preventing that information is falsified. 250 / ...
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Digital 3D Geometry Processing Geometry Representaƪons Prof. Dr. Mark Pauly EPFL 1 2 Overview Geometry Representaƭons Implicit & parametric Conƭnous & discrete Parametric curves Reparameterizaƭon Compuƭng length 3 Geometry Representaƭons How can we define a unit circle centered at the origin? In words: All points that a...
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Image Processing November 2023 Chapter 4 Morphological Processing Prof. Michael Unser, LIB Prof. Dimitri Van De Ville, MIP 4- Unser: Image processing OUTLINE ■Morphology: introduction ■Basic definitions ■Erosion and dilation ■Opening and closing ■Distance map and watershed ■Graylevel morphology ■Morphological filtering...
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RGL Realistic Graphics Lab CS-328: Numerical Methods for Visual Computing Lecture 3: Conditioning & Introduction to Least Squares Wenzel Jakob CS-328 RGL Realistic Graphics Lab 2 2. Linear systems, LU 6. Eigenanalysis, SVD 4. Least squares, QR 5. Writing efficient numerical code 1. Floating Point arithmetic & error 8. Au...
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CS-440 Prof. Wenzel Jakob wenzel.jakob@epfl.ch (many slides by Prof. Wojciech Jarosz, improvements by Jan Novak) ADVANCED COMPUTER GRAPHICS Reflectance models CS-440: Advanced Computer Graphics RGL Realistic Graphics Lab Today’s Menu • Quantifying light using Radiometry (PBRT Chapter 5) • Characterizing interactions betw...
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Mathematics of Data: From Theory to Computation Prof. Volkan Cevher volkan.cevher@epfl.ch Lecture 2: The role of computation Laboratory for Information and Inference Systems (LIONS) École Polytechnique Fédérale de Lausanne (EPFL) EE-556 (Fall 2020) License Information for Mathematics of Data Slides ▶This work is release...
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1 COM-405 Mobile Networks (MobNet) Prof. Jean-Pierre Hubaux EPFL 2 About this course (1/3) g The course is about the system aspects of mobile networking g Therefore, it covers: - networking issues (MAC, network and transport layers, principally) - estimation of network capacity and resource management - Wireless networ...
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Introducƭon to Computer Graphics Triangle Meshes Prof. Dr. Mark Pauly Computer Graphics and Geometry Laboratory Last Time: Lighƭng Last Time: Lighƭng Ray Generation Ray Intersection Lighting no illuminaƪon local illuminaƪon global illuminaƪon Ambient lighƭng approximate global light transport / exchange uniform in, uni...
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1 Multimedia Signal Processing Group Swiss Federal Institute of Technology, Lausanne Image Compression Prof. Touradj Ebrahimi Touradj.Ebrahimi@epfl.ch 2 Multimedia Signal Processing Group Swiss Federal Institute of Technology, Lausanne Compression • All compression schemes can be decomposed into two high level modules:...
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ANALYSIS I - NOTES ZSOLT PATAKFALVI Contents 1. Proofs 2 2. Sets 3 3. Bounds 4 4. Q vs R 5 4.1. Integer part 5 4.2. √ 2 is a real number 5 4.3. Rational numbers are everywhere 5 4.4. Irrational numbers are everywhere 6 5. Absolute value 6 6. Extended real number line 7 7. Complex numbers 7 7.1. Euler formula 9 7.2. Fin...
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Tail calls Advanced Compiler Construction Michel Schinz — 2022–04–14 Tail calls (and their elimination) Functional loops Often, functional languages do not offer loops. So, programmers resort to recursion. E.g., the central loop of an L3 Web server might be: (defrec web-server-loop (fun () (wait-for-connection) (fork h...
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Machine Learning Course - CS-433 Neural Nets – Convolutional Nets Nov 15, 2022 changes by Nicolas Flammarion 2021, 2020, changes by R¨udiger Urbanke 2019,2018,2017; c⃝R¨udiger Urbanke 2016 Last updated on: November 14, 2022 Basic Structure of Convolutional Nets Recall that for standard neural network every node at leve...
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Learning without state Adversarial learning Learning with state Learning Agents Boi Faltings Laboratoire d’Intelligence Artificielle boi.faltings@epfl.ch http://moodle.epfl.ch/ Boi Faltings Learning Agents 1/48 Learning without state Adversarial learning Learning with state Machine learning for agents Often, effects of...
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1 05-Monomode fibers Optical Engineering II Nanophotonics and Metrology Laboratory Institute of Microengineering, School of Engineering, École Polytechnique Fédéderale de Lausanne, EPFL-STI-IMT-NAM ELG 237 Station 11 CH-1015 Lausanne Contact person: Dr. Toralf SCHARF, Phone : +41 21 6954286, E-mail : toralf.scharf@epfl...
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UX 27 avril 2023 Florian Egger, PhD florian.egger@epfl.ch CS-213 - Interaction Personne-Système Maquettage & Prototypage UX 2 Rappel UX 3 La semaine dernière: Début de la création de la solution DESIGNER Comment DÉLIVRER Quand PROTOTYPE Arch. d'information. Stratégie de contenu PROTOTYPE Arch. d'information. Stratégie ...
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Finding Heavy Hitters in Data Streams Michael Kapralov EPFL December 19, 2022 Streaming model Observe a (very long) stream of data, e.g. IP packets, tweets, search queries. Task: maintain (approximate) statistics of the stream Streaming model Ï Single pass over the data: i1,i2,.,iN Typically, assume N is known Ï Small ...
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1 When we think about computer programs and how they should work, we usually think: ‐ They must be correct: they should perform the correct computations and for a given input provide the expected output. ‐ They must be safe: their outputs should not create dangerous situations. If a program on an elevator fails, the re...
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Number Systems Arithmetic Operations with Fractional Numbers CS-173 Fundamentals of Digital Systems Mirjana Stojilović Spring 2025 Previously on FDS …Fixed- and Floating-Point Representations 2 CS-173, © EPFL, Spring 2025 3 Previously CS-173, © EPFL, Spring 2025 Discovered the notion of radix point Learned two repres...
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Aerial Robots Introduction to Fixed-Wing Drones Tuesday, March 14, 2023 Aerial Robots – EPFL 1 Outline 1. Introduction 2. Structure 3. Flight mechanics 4. Types of fixed-wing drones 5. Energetics Tuesday, March 14, 2023 2 Aerial Robots – EPFL 1. Introduction What are fixed-wing drones? Why build fixed-wing drones? Tues...
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Mathematics of Data: From Theory to Computation Prof. Volkan Cevher volkan.cevher@epfl.ch Lecture 6: Time-data tradeoffs and variance reduction Laboratory for Information and Inference Systems (LIONS) École Polytechnique Fédérale de Lausanne (EPFL) EE-556 (Fall 2020) License Information for Mathematics of Data Slides ▶Th...
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Dimi Racordon - 2024 Computer language processing (CS-320) Formal languages - Automata Formal languages languages are sets! formally L ⊆ Σ* where Σ is a finite, non-empty set of symbol - All operations on sets apply to languages (e.g., union, intersection, .) - Languages can empty, finite, or infinite - We're intereste...
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MATH-329 Continuous Optimization Institute of Mathematics, EPFL Instructor: Nicolas Boumal TAs: Andreea Mu¸sat, Andrew McRae compiled December 13, 2024 ii Contents 1 Introduction 3 1.1 Optimization is a powerful modeling tool4 1.2 With great generality comes great difficulty6 I Unconstrained optimization 9 2 The setup,...
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