96 research outputs found
λ€μν μ΄μ¨μ νμ± ν¬κ³Όλ§μμμ λλ Έμ κΈ°μλ ₯νμ νμμ λν μ€νμ κ²μ¦
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Όλ¬Έ (λ°μ¬) -- μμΈλνκ΅ λνμ : 곡과λν μ κΈ°Β·μ»΄ν¨ν°κ³΅νλΆ, 2020. 8. κΉμ±μ¬.Perm-selective media has been widely used in various applications such as desalination, electro dialysis and battery, etc. In addition, micro-/nano-electrokinetic phenomena near the permselective media have been intensively studied. In many studies, material or geometry of the perm-selective media were adjusted for the easy fabrication or the new physics. In this thesis, material of the permselective media was adjusted by using ionic hydrogel and bio-based material, and also geometry of Nafion membrane was adjusted to have an undulation shaped surface. So the thesis was divided into two parts, one is the adjusting material, and the other is the adjusting geometry.
In Chapter 2, ionic hydrogel was introduced for capillarity ion concentration polarization (CICP). To overcome a world-wide water shortage problem, numerous desalination methods were developed with state-of-the-art power efficiency. However, a natural plant, mangrove can survive in salty environment with optimal power sources. As motivated by the desalting function of mangrove, here we proposed a spontaneous desalting mechanism, CICP. An ion depletion zone was spontaneously formed near a nanoporous material by the perm-selective ion transportation driven by the capillarity of the material, in contrast to an electrokinetic ion concentration polarization which achieves the same ion depletion zone by an external dc bias. This CICP device was shown to be capable of reduced an ambient flourecent signal more than 90% without any external electrical power sources. These results indicated that the CICP system can offer unique and economical approaches for a power-free water purification system.
In Chapter 3, biodegradable materials originated from well-known organisms such as human nail plate were rigorously investigated as a role of permselective nanoporous membrane. Most of nanofabrication methods are sophisticated and expensive due to the requirement of high class cleanroom facilities, while low-cost and biocompatible materials have been already introduced in the microfluidic platforms. Thus, an off-the-shelf and biodegradable material for those nanostructures can complete the concept of an eco-friendly micro/nanofluidic platform. A simple micro/nanofluidic device integrated with such materials was fabricated. Distinctive evidences (visualization of ion concentration polarization phenomenon, ohmic/limiting/overlimiting current behavior and surface charge-governed conductance) would fulfill the requirements of functional nanostructures for the nanofluidic applications. Therefore, this bio-based material, nail plate, would be utilized as a one of key elements of the biodegradable and eco-friendly micro/nanofluidic applications.
In chapter 4, micro/nano fluidic platform involving undulated surfaced Nafion membrane was investigated for the study of electrokinetic effect depending on the characteristic length scale of the system. Although the several studies have shown that overlimiting current was enhanced due to undulation surface at the long characteristic length (~O(100) mm), there are few studies that have shown undulation effect at the short characteristic length (~O(10) mm). In this chapter, we compared the undulation effect at two characteristic length of 15 mm and 150 mm. I-V characteristics were obtained at both 15mm and 150 mm and investigated the possibility of suppressing the undulation effect according to the depth of the device.
In this thesis, experimental investigation of the nanoelectrokinetic phenomena through novel perm-selective media was introduced. In chapter 2, 3, material of perm-selective media was adjusted by ionic hydrogel or bio-based materials and in chapter 4, geometry of the conventional perm-selective media, nafion, was modified to reveal the new physics.μ΄μ¨μ νμ±λ§μ ν΄μλ΄μνλ μ κΈ°ν¬μ, λ°°ν°λ¦¬λ±μ μ΄ν리μΌμ΄μ
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λλ²μ§Έ μ₯μμλ μ΄μ¨μνμ €μ΄ λͺ¨μΈκ΄μ΄μ¨λλλΆκ·Ήνμμ λ°μμν€λ μ΄μ¨μ νμ± λ§μΌλ‘μ¨ μ μλμλ€. μ μΈκ³μ μΈ λ¬ΌλΆμ‘± νμμ ν΄κ²°νκΈ° μν΄ λ€μν ν΄μλ΄μν λ°©λ²κ³Ό ν¨μ¨μ¦λλ₯Ό μν μ°κ΅¬λ€μ΄ μ§νλμ΄ μλ€. νμ§λ§ λ§Ήκ·Έλ‘λΈμ κ°μ μλ¬Όμ κ·Ήλνλ ν¨μ¨μ νμ©νμ¬ μΌμνκ²½μμ μ΄μλ¨λλ€. μ΄λ¬ν λ§Ήκ·Έλ‘λΈμ λ΄μν κΈ°λ₯μ μκ°μ λ°μ λͺ¨μΈκ΄ μ΄μ¨λλ λΆκ·Ήνμμ΄ μλ°μ μΈ λ΄μν λ©μ»€λμ¦μΌλ‘μ¨ μ μ λμλ€. μΌλ°μ μΈ μ κΈ°λμνμ μΈ μ΄μ¨λλ λΆκ·Ήνμμ΄ μΈλΆ μ κΈ°μ₯μ μν΄ κ΅¬λλλ κ²κ³Ό λ¬λ¦¬, μνμ € λ³Έμ°μ λͺ¨μΈκ΄ νμμν΄ μ νμ μ΄μ¨ μμ‘μ λ§λ€μ΄λ΄λ©΄μ μνμ € μ£Όλ³μμ μλ°μ μΌλ‘ μ΄μ¨ λλ λΆκ·Ή νμμ΄ λ°μνλ€. μ΄ λͺ¨μΈκ΄ μ΄μ¨λλλΆκ·Ήνμμ μ΄μ¨μ νμ§λ‘μ¨ λ£μ΄μ€ νκ΄λ¬Όμ§μ μΈλΆ μ κΈ°μ₯μμ΄ 90%μ΄μ μ€μ΄λ€κ² νμλ€. μ΄λ¬ν κ²°κ³Όλ€μ λͺ¨μΈκ΄ μ΄μ¨λλλΆκ·Ήνμμ΄ μΈλΆ μ μ μλ μ μ μμ€ν
μμ₯μ λμμ΄ λ κ²μΌλ‘ κΈ°λλλ€.
μΈλ²μ§Έ μ₯μμλ μν±κ³Ό κ°μ μ μλ €μ§ μ체 λ¬Όμ§μ μ΄μ©ν μλΆν΄μ±μ λ¬Όμ§μ΄ μ΄μ¨μ νμ± ν¬κ³Όλ§μΌλ‘μ¨ μ μλμλ€. μ΄μ¨μ νμ± ν¬κ³Όλ§μ λ§λ€κΈ°μν λλΆλΆμ λλ
Έ 곡μ μ 볡μ‘νκ±°λ λμ μμ€μ μ²μ λ¨κ³λ₯Ό νμλ‘ νλ λΉμΌ 곡μ μ΄λ€. λ°λ©΄μ λ§μ΄ν¬λ‘ μ 체 νλ«νΌμμλ μ΄λ―Έ μΈκ³ μ체μ ν©ν λ€μν λ¬Όμ§λ€μ΄ μ΄λ―Έ λ€μνκ² μ°κ΅¬λμ΄ μ€κ³ μλ€. λ°λΌμ μλΆν΄μ±μ μ΄μ¨μ νμ± ν¬κ³Όλ§μ νμ©νλ©΄ μΉνκ²½μ μΈ λ§μ΄ν¬λ‘/λλ
Έ μ 체 νλ«νΌμ κ°λ
μ μμ±μν¬ μ μλ€. κ°λ¨ν λ§μ΄ν¬λ‘/λλ
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Έ μ₯μΉμ μ μ©ν μ μμκ±°λΌ κΈ°λν μ μλ€.
λ€λ²μ§Έ μ₯μμλ νμνꡬ쑰μ νλ©΄μ κ°λ λνΌμ¨ λ§μ΄ ν¬ν¨λ λ§μ΄ν¬λ‘/λλ
Έ μ 체 νλ«νΌμ΄ μ μλκ³ μ°κ΅¬λμλ€. νΉν νΉμ±κΈΈμ΄μ λ°λ₯Έ μ κΈ°λμνμ μΈ ν¨κ³Όλ€μ λν΄μ μμ보μλλ°, μΌλ°μ μΈ νμν ꡬ쑰μ νλ©΄μ κ°λ μ°κ΅¬λ€μ λλΆλΆ κΈ΄ νΉμ±κΈΈμ΄ (~O(100) m)μμ μ€νλκ³ ν΄μ λμ΄ μ¨ λ°λ©΄, λ³Έ μ°κ΅¬μμλ 짧μ νΉμ±κΈΈμ΄ (~O(10) m)μμμ ν¨κ³Ό μμ μ€ννκ³ λΉκ΅λμλ€. νΉν μ λ₯ μ μ νΉμ±μ ν΅ν΄ νμν ꡬ쑰μ ν¨κ³Όκ° 짧μ νΉμ±κΈΈμ΄μμ μ΅μ λλμ§λ₯Ό μ΄ν΄λ³΄μλ€.
λ³Έ μ°κ΅¬μμλ μ΄μ¨μ νμ± ν¬κ³Όλ§μ μΈλΆ λͺ¨μμ΄λ λ΄λΆ ꡬ쑰λ₯Ό λ³ννμ¬ λ°μνλ μλ‘μ΄ νμμ΄λ μλ‘μ΄ νΉμ§λ€μ λν΄ μ€ννκ³ λ³΄κ³ νμλ€. λλ²μ§Έμ μΈλ²μ§Έ μ₯μμλ μλ‘μ΄ λ΄λΆκ΅¬μ‘°λ₯Ό νμ©ν μ΄μ¨μ νμ± ν¬κ³Όλ§μ λν΄ μ°κ΅¬νμκ³ , λ€λ²μ§Έ μ₯μμλ μΈλΆ λͺ¨μμ λ°κΎΈμμ λ μΌμ΄λλ μλ‘μ΄ λ¬Όλ¦¬μ νΉμ§λ€μ λν΄ μ°κ΅¬νμλ€. λ³Έ λ
Όλ¬Έμ ν΅ν΄ λ€μν μ΄μ¨μ νμ± ν¬κ³Όλ§μ λν μ΄ν΄κ° λμμ§κ³ λ λ€μν μ°κ΅¬λ€μ΄ νλ°ν μ§νλκΈ°λ₯Ό λ°λλ€.Abstract i
Contents iii
List of Figures vi
List of Tables ix
Chapter 1. Introduction 1
1.1. Permselectivity of the nanoporus membrane 1
1.2. Examples of permselective structures 7
1.2.1. Ion exchange membrane 7
1.2.2. Nafion 8
1.2.3. Synthetic hydrogel 9
1.2.4. Lithographically defined nanochannels 10
1.2.5. Others 11
1.3. Ion concentration polarization 12
Chapter 2. Ionic Hydrogel Membrane for Capillarity based Ion Concentration Polarization 14
2.1. Introduction 14
2.2. Materials and methods 17
2.2.1. Synthetic hydrogel as a perm selective membrane 17
2.2.2. CICP device fabrication 18
2.2.3. Experimental setup 21
2.2.4. Concentration measurement from reference fluorescent signal 22
2.3. Results and discussion 24
2.3.1. Imbibition rate through the ionic hydrogel 24
2.3.2. The measurement of hydrogel swelling 28
2.3.3. The formation of an ion depletion zone by CICP phenomenon 30
2.3.4. The restoration phase by a diminished imbibition 34
2.3.5. Experimental analysis for the behavior of fluorescent dye 36
2.3.6. Asymmetric formation of the ion depletio zone in the cente-connection device 41
2.4. Conclusions 43
Chapter 3. Bio-based Membranes for Nanofluidic Applications 44
3.1. Introduction 44
3.2. Nail plate as a perm-selective membrane 46
3.3. Materials and methods 48
3.3.1. Nail device fabrication 48
3.3.2. Experimental setup 52
3.4. Results and discussion 53
3.4.1. The formation of ion depletion zone upon nail device 53
3.4.2. The I-V characteristics of the nail device 55
3.4.3. The conductance profile of the nail plate 56
3.5. Conclusions 59
Chapter 4. Undulated Nafion Membrane for Investigation of Electroconvective Instability 60
4.1. Introduction 60
4.2. Materials and methods 64
4.2.1. Undulation device fabrication 64
4.2.2. Experimental setup 67
4.3. Results and discussions 69
4.3.1. Visualization of vortices of Duckhins mode 69
4.3.2. I-V characteristics of the undulation device 71
4.4. Conclusions 72
Appendix 73
A. Analytical and numerical solution of the CICP 73
B. Hen egg yolk and albumen as a bio-based perm-selective membrane 88
Bibliography 99
Abstract in Korean 104Docto
The effects of creep phenomenon in the mooring system with synthetic fiber rope
Growing demand and rapid development of the synthetic fiber rope in mooring system have taken place since it has been used in deep water platform lately. Unlike a chain mooring, synthetic fiber rope composed of lightweight materials such as Polyester(polyethylene terephthalate), HMPE(high modulus polyethylene) and Aramid(aromatic polyamide). Non-linear stiffness and another failure mode are distinct characteristics of synthetic fiber rope when compared to mooring chain.
When these ropes are exposed to environmental load for a long time, the length of rope will be increased permanently. This is called βthe creep phenomenonβ. Due to the phenomenon, The initial characteristics of mooring systems would be changed because the length and stiffness of the rope have been changed as time goes on. The changed characteristics of fiber rope cause different mooring tension and vessel offset compared to the initial design condition. Commercial mooring analysis software that widely used in industries is unable to take into account this phenomenon automatically. Even though the American Petroleum Institute (API) or other classification rules present some standard or criteria with respect to length and stiffness of a mooring line, simulation guide considers the mechanical properties that is not mentioned in such rules.
In this paper, the effect of creep phenomenon in the fiber rope mooring system under specific environment condition is investigated. Desiged mooring system for a Mobile Offshore Drilling Unit(MODU) with HMPE rope which has the highest creep is analyzed in a time domain in order to investigate the effects creep phenomenon to vessel offset and mooring tension. We have developed a new procedure to an analysis of mooring system reflecting the creep phenomenon and it is validated through a time domain simulation using non-linear mooring analysis software, OrcaFlex. The result shows that the creep phenomenon should be considered in analysis procedure because it affects the length and stiffness of synthetic fiber rope in case of high water temperature and permanent mooring system.1. μ λ‘
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1.2 μ°κ΅¬λν₯ 2
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2.1 The creep phenomenon 4
2.2 Static-dynamic stiffness model 8
2.3 Upper-lower stiffness model 9
2.4 Quasi-static stiffness 11
2.5 Analysis procedure 12
3. Environments condition
3.1 Environments load 15
3.2 Design condition 18
4. Mooring analysis
4.1 Mooring layout 19
4.2 Mooring stiffness 22
4.3 Simulation case 24
5. Analysis results
5.1 Case 1 and Case 2 26
5.2 Case 3 30
5.3 Case 4 33
5.4 Case 5 36
5.5 Case 6 39
5.6 Case 7 42
6. κ²°λ‘ 47
Reference 49Maste
Prediction of Daytime Hypoglycemic Events Using Continuous Glucose Monitoring Data and Classification Technique
Daytime hypoglycemia should be accurately predicted to achieve normoglycemia and to avoid disastrous situations. Hypoglycemia, an abnormally low blood glucose level, is divided into daytime hypoglycemia and nocturnal hypoglycemia. Many studies of hypoglycemia prevention deal with nocturnal hypoglycemia. In this paper, we propose new predictor variables to predict daytime hypoglycemia using continuous glucose monitoring (CGM) data. We apply classification and regression tree (CART) as a prediction method. The independent variables of our prediction model are the rate of decrease from a peak and absolute level of the BG at the decision point. The evaluation results showed that our model was able to detect almost 80% of hypoglycemic events 15 min in advance, which was higher than the existing methods with similar conditions. The proposed method might achieve a real-time prediction as well as can be embedded into BG monitoring device.1
Manipulation of physical properties in oxide thin films by a local inversion symmetry breaking induced by flexoelectricity
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Όλ¬Έμμλ λ³μ ν¨κ³Όμ μν΄ μ λλλ λ°μ λμΉ κΉ¨νΈλ¦Όμ μ΄μ©νμ¬ μ°νλ¬Ό λ°λ§μ 물리μ νΉμ±μ μ μ΄νλ κ²μ΄ κ°λ₯νλ€λ κ²μ 보μ¬μ€ κ²μ΄λ€. νΉν, κ΅μμ μΈ μμμ λ μΉ΄λ‘μ΄ μμν νλ―Έκ²½μ νμΉ¨μ μ΄μ©νμ¬ μλ ₯μ κ°νλ κΈ°μ μ μ¬μ©ν¨μΌλ‘μ¨ μνλ μμμλ§ κ΅μμ μΌλ‘ 물리μ νΉμ±μ λ³νλ₯Ό μΌκΈ°ν΄λΈ μΌλ€μ μκ°ν κ²μ΄λ€. λμ μ°κ΅¬λ€μ μ°νλ¬Ό λ°λ§μμ μμν νλ§μ κ°μ§κ³ ν₯λ―Έλ‘μ΄ λ¬Όλ¦¬μ νμ λλ νΉμ±μ μ μ΄νκ³ κ΄μ°°νλ κ²μ΄ κ°λ₯νλ€λ κ²μ μμ¬νλ€.Over the last decade, flexoelectric effect at the nanoscale in solid has shown their wide potential both scientifically and technologically. There are already some patents for commercial electronic devices to replace piezoelectric devices such as sensor, and actuator. Also, they have shown rich and intriguing physical phenomena, including the recent hot topic of domain wall and photovoltaic. Despite these extensive studies on flexoelectric effect, I believe that many interesting issues still remain untouched. In this thesis, two novel findings has been addressed: trailing flexoelectric field for manipulation of multiaxial ferroelectric, control of the electrical state in a dielectric with flexoelectric origin.
Firstly, I have demonstrated that in multiaxial ferroelectric epitaxial films, the trailing flexoelectric field generated by mobile AFM tip pressing can be used as an effective tool for engineering domain structures. We have suggested several advantageous features over the electrical way. Also, we have overcome the serious drawback of mechanical switching of ferroelectric polarization with AFM tip that is switching is unidirectional, i.e. only switching of polarization up to down is possible. I believe that the finding of this mechanism of trailing flexoelectric will open a great possibility to study exotic ferroelectric domain by creating it without applying electrical bias.
Also, we demonstrated flexoelectric control of the electrical state in ultrathin dielectric films. We explained this huge resistivity change in terms of tunable depolarizaton field by controlling the amount of flexoelectric polarization generated inside of the ultrathin dielectric films. Achieving breakdown using very small electric bias, we could prevent extrinsic effect such as Joule heating and permanent damage on the sample even though we applied a huge electrostatic field by means of flexoelectricity. This work overcomes a long-standing dilemma: the electrical-state switching in dielectrics requires strong fields, but when applied by strong static fields, dielectrics inevitably suffer from irreversible damage. Utilizing universal flexoelectricity, we could develop a general approach to apply non-destructive, strong electrostatic fields in various insulating systems, such as the Mott insulator. Also, our results can be extended to realize future novel devices such as flexoelectric switch and transistor.
Lastly, there can be many interesting topics we can further study with this AFM tip pressing technique. Since force applied by AFM tip will generate local strain gradients, thus breaking of local inversion symmetry, any change of physical properties or intriguing phenomena induced by the inversion symmetry breaking such as band gap opening in graphene or photovoltaic in centrosymmetric materials can be studied. As those studies would be original in the aspect that mechanism is novel flexoelectricity, it would provide good chances for high-impact publications.The concept of symmetry plays an incredible role in physics. What kinds of symmetries the material possess determine the physical orders or properties the material can have. Depending on crystal symmetries, solid can be classified into well-known crystallopic point group. In solids, there exist 32 types of morphological crystalline symmetries derived in 1830 from a consideration of observed crystal forms. The point group of a crystal determines the directional variation of physical properties that arise from its structure, including optical properties such as birefringency, or electromechanical coupling such as piezoelectricity.
Couplings between electrical and mechanical properties are quite intriguing physical phenomena and have been used in many applications ranging from microelectromechanical systems to biological systems such as a piezoelectric actuator, motor, sensor, energy generator, electromotor proteins, and cellular membranes. The most popular example of electromechanical couplings is piezoelectricity in polar systems (where the space inversion symmetry is broken), in which the homogeneous strain can induce electric fields and vice versa. On the other hand, there can occur a novel electromechanical coupling known as flexoelectricity in the presence of a strain gradient (i.e., inhomogeneous strain).
The flexoelectricity can be defined as a coupling between polarization and strain gradient. One important aspect of this phenomena is that the flexoelectricity is more universal phenomena than the piezoelectricity. While piezoelectricity can arise in 20 point groups, flexoelectricity can arise in all 32 point groups as the strain gradients itself spontaneously break the inversion symmetry. Other than that, flexoelectricity has another important aspect. Flexoelectricity becomes larger and larger as the scale being reduced since the strain gradient is inversely proportional to the size of the sample given that the applied strain is fixed. Because of those two advantages mentioned above, flexoelectricity can play an important role in both nanoscale physics and application as it might be possible to replace the devices in which the piezoelectricity is in use.
In this thesis, I will show that it is possible to tune the physical properties of oxide thin films by breaking the space inversion symmetry induced by flexoelectricity. Specifically, I exploited the technique so-called atomic force microscope (AFM) tip pressing that is applying pressure using a sharp AFM tip to induce local strain gradients, thus, break the local inversion symmetry. With this technique, local control of physical properties of oxide thin films was possible and three works related to AFM tip pressing will be addressed. Our studies on oxide thin films suggest that many interesting control of local physical properties can be possible by means of pure mechanical force.Contents
Abstract (English) 1
List of Figures 3
1. Introduction 9
1.1 Flexoelectricity 9
1.2 Types of strain gradients 10
1.3 Ways to generate strain gradients 12
2. Experimental detail 15
2.1 Pulsed-laser deposition 15
2.2 Piezoelectric force mecroscopy 17
2.3 Atomic force microscopy tip pressing for mechanical writing or gating of polarization 21
3. Trailing flexoelectric field and selective control of ferroelectric polarizationin BiFeO3 thin film 24
3.1 Mechanical switching of ferroelectric polarization 24
3.2 Trailing electric field due to the motion of the AFM tip 27
3.3 Mono-domain BFO thin film 28
3.4Selective control of multiple ferroelectric pathways using a mechanical forceinduced by AFM tip pressing 31
3.5Mechanism for selective control of multiple ferroelectric switching pathways:trailing flexoelectric field 35
3.6 Role of piezoelectricity and flexoelectricity in mobile AFM tip pressing studied by phase-field simulations 41
3.7 Comparison between trailing electric field and trailing flexoelectric field 45
3.8 Conclusion 49
4. Controlling electrical state in dielectrics with mechanical force: colossalflexoresistance 53
4.1 Introduction 53
4.2 Estimation of threshold polarization anove which both the conduction band minimum and valance band maximum cross the Fermi level 59
4.3 Experimental results and discussion 62
4.4 Conclusion 78
5. Conclusions 82
Appendix A: Estimation of conversion factor between electric bias and mechanical force 84
Appendix B: Phase field simulation 87
Appendix C: First-principle caculations 94
Appendix D: Detailed sample characterization 99
Appendix E: Measuring nanoscale flexoelectric coefficients by mechanically tunable quantum tunneling Detailed sample characterization 102
Publication List 104
κ΅λ¬Έ μ΄λ‘ (Abstract in Korean) 105
κ°μ¬μ κΈ (Acknowledgements) 107Docto
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Όλ¬Έ(μμ¬)--μμΈλνκ΅ λνμ :μμ°κ³Όνλν ν΅κ³νκ³Ό,2020. 2. μμ€νΈ.Finding analytical solution for a locally D-optimal design of non-linear models is a difficult problem even for a relatively simple model. A number of numerical methods for computing D-optimal designs have been proposed but few exhibited satisfying speed with theoretical convergence at the same time. In this thesis, we compare two algorithms, particle swarm optimization (PSO) and second-order cone programming (SOCP) for computing locally D-optimal design. PSO is a heuristic algorithm capable of finding optimal design points and weights simultaneously, but lacks the theoretical guarantee of convergence toward an optimal design. SOCP is a convex optimization method that is guaranteed to find the optimal design weights for discretized design points. We demonstrate that PSO often fails to reproduce known D-optimal designs for non-linear models consistently, and propose an SOCP-based algorithm for k-point design in which at most k design points are selected among a large number of candidate points. We show that this SOCP-based method is competent in computing D-optimal designs compared to PSO, in terms of both speed and accuracy.λΉμ ν λͺ¨νμ λν κ΅μ D-μ΅μ μ€νμ€κ³λ₯Ό ν΄μμ μΌλ‘ ꡬνλ κ²μ λΉκ΅μ κ°λ¨ν λͺ¨νμ λν΄μλ μ½μ§ μλ€κ³ μλ €μ Έ μλ€. D-μ΅μ μ€νμ€κ³λ₯Ό ꡬνκΈ° μν μ¬λ¬ μμΉμ λ°©λ²λ€μ΄ μ μλμ΄ μμ§λ§, κ·Έ μ€ μ΄λ‘ μ μΈ μλ ΄ μ±μ§κ³Ό μ€μν μ°μ° μλλ₯Ό λμμ μ§λλ λ°©λ²μ λ§μ§ μμλ€. μ΄ λ
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μ κ΅°μ§ μ΅μ νμ λΉκ΅ν΄ μλμ μ νλ λͺ¨λμμ κ²½μλ ₯μ μ§λκ³ μμμ κ²μ¦νμλ€.Chapter 1 Introduction 1
1.1 Exact/Approximate Designs 4
1.2 Equivalence Theorem 5
1.3 Number of Support Points 5
1.4 Extension to Non-linear Models 6
1.4.1 Global Optimality Criterion 7
1.5 Relative Efficiency 8
1.6 Numerical Algorithms 8
Chapter 2 Particle Swarm Optimization 10
2.1 Locally D-optimal Approximate Designs 12
2.1.1 Compartment Model 14
2.1.2 Quadratic Logistic Model 16
2.1.3 Double Exponential Model 20
2.2 Minimax D-optimal design 23
2.2.1 Two Parameter Logistic Model 24
Chapter 3 Second-order Cone Programming 33
3.1 Second-order cone programming 34
3.2 SOCP for D-optimal Design 36
3.2.1 k-point Approximate Design Constraint 38
3.3 Locally D-optimal Approximate Designs 39
3.4 Locally D-optimal Exact Designs 41
3.4.1 Second-order Polynomial Regression 43
3.4.2 Locally D-optimal Exact Designs 47
3.5 Further Applications 48
3.5.1 Sequential Design 48
3.5.2 Laplacian Regularized Active Learning 52
Chapter 4 Discussion 57
κ΅λ¬Έμ΄λ‘ 62Maste
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Evaluating the quality of baseball pitch using PITCHf/x
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Major League Baseball (MLB) records and releases the trajectory data for every baseball pitch, called the PITCHf/x, using three high-speed cameras installed in every stadium. In a previous study, the quality of the pitch was assessed as the expected number of bases yielded using PITCHf/x data. However, the number of bases yielded does not always lead to baseball scores, or runs. In this paper, we assess the quality of a pitch by combining baseball analytics metric Run Expectancy and Run Value using a Random Forests model. We compare the quality of pitches evaluated with Run Value to the quality of pitches evaluated with the expected number of bases yielded.N
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