ROL
ROL_LogQuantileQuadrangle.hpp
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1// @HEADER
2// *****************************************************************************
3// Rapid Optimization Library (ROL) Package
4//
5// Copyright 2014 NTESS and the ROL contributors.
6// SPDX-License-Identifier: BSD-3-Clause
7// *****************************************************************************
8// @HEADER
9
10#ifndef ROL_LOGQUANTILEQUAD_HPP
11#define ROL_LOGQUANTILEQUAD_HPP
12
13#include "ROL_ExpectationQuad.hpp"
14#include "ROL_PlusFunction.hpp"
15
38
39namespace ROL {
40
41template<class Real>
42class LogQuantileQuadrangle : public ExpectationQuad<Real> {
43private:
44
45 ROL::Ptr<PlusFunction<Real> > pf_;
46
47 Real alpha_;
48 Real rate_;
49 Real eps_;
50
51 void parseParameterList(ROL::ParameterList &parlist) {
52 std::string type = parlist.sublist("SOL").get("Type","Risk Averse");
53 ROL::ParameterList list;
54 if (type == "Risk Averse") {
55 list = parlist.sublist("SOL").sublist("Risk Measure").sublist("Log Quantile");
56 }
57 else if (type == "Error") {
58 list = parlist.sublist("SOL").sublist("Error Measure").sublist("Log Quantile");
59 }
60 else if (type == "Deviation") {
61 list = parlist.sublist("SOL").sublist("Deviation Measure").sublist("Log Quantile");
62 }
63 else if (type == "Regret") {
64 list = parlist.sublist("SOL").sublist("Regret Measure").sublist("Log Quantile");
65 }
66 // Check CVaR inputs
67 alpha_ = list.get<Real>("Slope for Linear Growth");
68 rate_ = list.get<Real>("Rate for Exponential Growth");
69 eps_ = list.get<Real>("Smoothing Parameter");
70 // Build plus function
71 pf_ = ROL::makePtr<PlusFunction<Real>>(list);
72 }
73
74 void checkInputs(void) const {
75 Real zero(0), one(1);
76 ROL_TEST_FOR_EXCEPTION((alpha_ < zero) || (alpha_ >= one), std::invalid_argument,
77 ">>> ERROR (ROL::LogQuantileQuadrangle): Linear growth rate must be between 0 and 1!");
78 ROL_TEST_FOR_EXCEPTION((rate_ <= zero), std::invalid_argument,
79 ">>> ERROR (ROL::LogQuantileQuadrangle): Exponential growth rate must be positive!");
80 ROL_TEST_FOR_EXCEPTION((eps_ <= zero), std::invalid_argument,
81 ">>> ERROR (ROL::LogQuantileQuadrangle): Smoothing parameter must be positive!");
82 ROL_TEST_FOR_EXCEPTION(pf_ == ROL::nullPtr, std::invalid_argument,
83 ">>> ERROR (ROL::LogQuantileQuadrangle): PlusFunction pointer is null!");
84 }
85
86public:
94 LogQuantileQuadrangle(Real alpha, Real rate, Real eps,
95 ROL::Ptr<PlusFunction<Real> > &pf )
96 : ExpectationQuad<Real>(), alpha_(alpha), rate_(rate), eps_(eps), pf_(pf) {
97 checkInputs();
98 }
99
111 LogQuantileQuadrangle(ROL::ParameterList &parlist)
112 : ExpectationQuad<Real>() {
113 parseParameterList(parlist);
114 checkInputs();
115 }
116
117 Real error(Real x, int deriv = 0) {
118 Real zero(0), one(1);
119 ROL_TEST_FOR_EXCEPTION( (deriv > 2), std::invalid_argument,
120 ">>> ERROR (ROL::LogQuantileQuadrangle::error): deriv greater than 2!");
121 ROL_TEST_FOR_EXCEPTION( (deriv < 0), std::invalid_argument,
122 ">>> ERROR (ROL::LogQuantileQuadrangle::error): deriv less than 0!");
123
124 Real X = ((deriv == 0) ? x : ((deriv == 1) ? one : zero));
125 return regret(x,deriv) - X;
126 }
127
128 Real regret(Real x, int deriv = 0) {
129 Real zero(0), one(1);
130 ROL_TEST_FOR_EXCEPTION( (deriv > 2), std::invalid_argument,
131 ">>> ERROR (ROL::LogQuantileQuadrangle::regret): deriv greater than 2!");
132 ROL_TEST_FOR_EXCEPTION( (deriv < 0), std::invalid_argument,
133 ">>> ERROR (ROL::LogQuantileQuadrangle::regret): deriv less than 0!");
134
135 Real arg = std::exp(rate_*x);
136 Real sarg = rate_*arg;
137 Real reg = (pf_->evaluate(arg-one,deriv) *
138 ((deriv == 0) ? one/rate_ : ((deriv == 1) ? arg : sarg*arg))
139 + ((deriv == 2) ? pf_->evaluate(arg-one,deriv-1)*sarg : zero))
140 + ((deriv%2 == 0) ? -one : one) * alpha_ * pf_->evaluate(-x,deriv);
141 return reg;
142 }
143
144 void check(void) {
145 ExpectationQuad<Real>::check();
146 // Check v'(eps)
147 Real x = eps_, two(2), p1(0.1), zero(0), one(1);
148 Real vx(0), vy(0);
149 Real dv = regret(x,1);
150 Real t(1), diff(0), err(0);
151 std::cout << std::right << std::setw(20) << "CHECK REGRET: v'(eps) is correct? \n";
152 std::cout << std::right << std::setw(20) << "t"
153 << std::setw(20) << "v'(x)"
154 << std::setw(20) << "(v(x+t)-v(x-t))/2t"
155 << std::setw(20) << "Error"
156 << "\n";
157 for (int i = 0; i < 13; i++) {
158 vy = regret(x+t,0);
159 vx = regret(x-t,0);
160 diff = (vy-vx)/(two*t);
161 err = std::abs(diff-dv);
162 std::cout << std::scientific << std::setprecision(11) << std::right
163 << std::setw(20) << t
164 << std::setw(20) << dv
165 << std::setw(20) << diff
166 << std::setw(20) << err
167 << "\n";
168 t *= p1;
169 }
170 std::cout << "\n";
171 // check v''(eps)
172 vx = zero;
173 vy = zero;
174 dv = regret(x,2);
175 t = one;
176 diff = zero;
177 err = zero;
178 std::cout << std::right << std::setw(20) << "CHECK REGRET: v''(eps) is correct? \n";
179 std::cout << std::right << std::setw(20) << "t"
180 << std::setw(20) << "v''(x)"
181 << std::setw(20) << "(v'(x+t)-v'(x-t))/2t"
182 << std::setw(20) << "Error"
183 << "\n";
184 for (int i = 0; i < 13; i++) {
185 vy = regret(x+t,1);
186 vx = regret(x-t,1);
187 diff = (vy-vx)/(two*t);
188 err = std::abs(diff-dv);
189 std::cout << std::scientific << std::setprecision(11) << std::right
190 << std::setw(20) << t
191 << std::setw(20) << dv
192 << std::setw(20) << diff
193 << std::setw(20) << err
194 << "\n";
195 t *= p1;
196 }
197 std::cout << "\n";
198 // Check v'(0)
199 x = zero;
200 vx = zero;
201 vy = zero;
202 dv = regret(x,1);
203 t = one;
204 diff = zero;
205 err = zero;
206 std::cout << std::right << std::setw(20) << "CHECK REGRET: v'(0) is correct? \n";
207 std::cout << std::right << std::setw(20) << "t"
208 << std::setw(20) << "v'(x)"
209 << std::setw(20) << "(v(x+t)-v(x-t))/2t"
210 << std::setw(20) << "Error"
211 << "\n";
212 for (int i = 0; i < 13; i++) {
213 vy = regret(x+t,0);
214 vx = regret(x-t,0);
215 diff = (vy-vx)/(two*t);
216 err = std::abs(diff-dv);
217 std::cout << std::scientific << std::setprecision(11) << std::right
218 << std::setw(20) << t
219 << std::setw(20) << dv
220 << std::setw(20) << diff
221 << std::setw(20) << err
222 << "\n";
223 t *= p1;
224 }
225 std::cout << "\n";
226 // check v''(eps)
227 vx = zero;
228 vy = zero;
229 dv = regret(x,2);
230 t = one;
231 diff = zero;
232 err = zero;
233 std::cout << std::right << std::setw(20) << "CHECK REGRET: v''(0) is correct? \n";
234 std::cout << std::right << std::setw(20) << "t"
235 << std::setw(20) << "v''(x)"
236 << std::setw(20) << "(v'(x+t)-v'(x-t))/2t"
237 << std::setw(20) << "Error"
238 << "\n";
239 for (int i = 0; i < 13; i++) {
240 vy = regret(x+t,1);
241 vx = regret(x-t,1);
242 diff = (vy-vx)/(two*t);
243 err = std::abs(diff-dv);
244 std::cout << std::scientific << std::setprecision(11) << std::right
245 << std::setw(20) << t
246 << std::setw(20) << dv
247 << std::setw(20) << diff
248 << std::setw(20) << err
249 << "\n";
250 t *= p1;
251 }
252 std::cout << "\n";
253 // Check v'(0)
254 x = -eps_;
255 vx = zero;
256 vy = zero;
257 dv = regret(x,1);
258 t = one;
259 diff = zero;
260 err = zero;
261 std::cout << std::right << std::setw(20) << "CHECK REGRET: v'(-eps) is correct? \n";
262 std::cout << std::right << std::setw(20) << "t"
263 << std::setw(20) << "v'(x)"
264 << std::setw(20) << "(v(x+t)-v(x-t))/2t"
265 << std::setw(20) << "Error"
266 << "\n";
267 for (int i = 0; i < 13; i++) {
268 vy = regret(x+t,0);
269 vx = regret(x-t,0);
270 diff = (vy-vx)/(two*t);
271 err = std::abs(diff-dv);
272 std::cout << std::scientific << std::setprecision(11) << std::right
273 << std::setw(20) << t
274 << std::setw(20) << dv
275 << std::setw(20) << diff
276 << std::setw(20) << err
277 << "\n";
278 t *= p1;
279 }
280 std::cout << "\n";
281 // check v''(eps)
282 vx = zero;
283 vy = zero;
284 dv = regret(x,2);
285 t = one;
286 diff = zero;
287 err = zero;
288 std::cout << std::right << std::setw(20) << "CHECK REGRET: v''(-eps) is correct? \n";
289 std::cout << std::right << std::setw(20) << "t"
290 << std::setw(20) << "v''(x)"
291 << std::setw(20) << "(v'(x+t)-v'(x-t))/2t"
292 << std::setw(20) << "Error"
293 << "\n";
294 for (int i = 0; i < 13; i++) {
295 vy = regret(x+t,1);
296 vx = regret(x-t,1);
297 diff = (vy-vx)/(two*t);
298 err = std::abs(diff-dv);
299 std::cout << std::scientific << std::setprecision(11) << std::right
300 << std::setw(20) << t
301 << std::setw(20) << dv
302 << std::setw(20) << diff
303 << std::setw(20) << err
304 << "\n";
305 t *= p1;
306 }
307 std::cout << "\n";
308 }
309
310};
311
312}
313#endif
ROL_ExpectationQuad.hpp
zero
Objective_SerialSimOpt(const Ptr< Obj > &obj, const V &ui) z0 zero)()
Definition ROL_Objective_SerialSimOpt.hpp:77
ROL_PlusFunction.hpp
ROL::ExpectationQuad::check
virtual void check(void)
Run default derivative tests for the scalar regret function.
Definition ROL_ExpectationQuad.hpp:82
ROL::LogQuantileQuadrangle::check
void check(void)
Run default derivative tests for the scalar regret function.
Definition ROL_LogQuantileQuadrangle.hpp:144
ROL::LogQuantileQuadrangle::error
Real error(Real x, int deriv=0)
Evaluate the scalar error function at x.
Definition ROL_LogQuantileQuadrangle.hpp:117
ROL::LogQuantileQuadrangle::parseParameterList
void parseParameterList(ROL::ParameterList &parlist)
Definition ROL_LogQuantileQuadrangle.hpp:51
ROL::LogQuantileQuadrangle::LogQuantileQuadrangle
LogQuantileQuadrangle(Real alpha, Real rate, Real eps, ROL::Ptr< PlusFunction< Real > > &pf)
Constructor.
Definition ROL_LogQuantileQuadrangle.hpp:94
ROL::LogQuantileQuadrangle::LogQuantileQuadrangle
LogQuantileQuadrangle(ROL::ParameterList &parlist)
Constructor.
Definition ROL_LogQuantileQuadrangle.hpp:111
ROL::LogQuantileQuadrangle::pf_
ROL::Ptr< PlusFunction< Real > > pf_
Definition ROL_LogQuantileQuadrangle.hpp:45
ROL::LogQuantileQuadrangle::regret
Real regret(Real x, int deriv=0)
Evaluate the scalar regret function at x.
Definition ROL_LogQuantileQuadrangle.hpp:128
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