AURORA class

This class implement the base mechanism of AURORA. It must be used with an emitter. To get the usual AURORA algorithm, one must use the mixing emitter.

The AURORA class can be used with other emitters to create variants, like PGA-AURORA.

Core elements of the AURORA algorithm.

Parameters:
  • scoring_function (Optional[Callable[[Genotype, RNGKey], Tuple[Fitness, Descriptor, PyTree]]]) –

    a function that takes a batch of genotypes and compute their fitnesses and descriptors

  • emitter (Emitter) –

    an emitter is used to suggest offsprings given a MAPELites repertoire. It has two compulsory functions. A function that takes emits a new population, and a function that update the internal state of the emitter.

  • metrics_function (Callable[[MapElitesRepertoire], Metrics]) –

    a function that takes a repertoire and computes any useful metric to track its evolution

Source code in qdax/core/aurora.py
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
class AURORA:
    """Core elements of the AURORA algorithm.

    Args:
        scoring_function: a function that takes a batch of genotypes and compute
            their fitnesses and descriptors
        emitter: an emitter is used to suggest offsprings given a MAPELites
            repertoire. It has two compulsory functions. A function that takes
            emits a new population, and a function that update the internal state
            of the emitter.
        metrics_function: a function that takes a repertoire and computes
            any useful metric to track its evolution
    """

    def __init__(
        self,
        scoring_function: Optional[
            Callable[
                [Genotype, RNGKey],
                Tuple[Fitness, Descriptor, PyTree],
            ]
        ],
        emitter: Emitter,
        metrics_function: Callable[[MapElitesRepertoire], Metrics],
        encoder_function: Callable[[Observation, AuroraExtraInfo], Descriptor],
        training_function: Callable[
            [UnstructuredRepertoire, Params, int, Observation, RNGKey],
            AuroraExtraInfo,
        ],
        observations_key: str = "observations",
    ) -> None:
        """
        Args:
            scoring_function: a function that takes a batch of genotypes and compute
                their fitnesses and descriptors
            emitter: an emitter is used to suggest offsprings given a MAPELites
                repertoire.
            metrics_function: a function that takes a repertoire and computes
                any useful metric to track its evolution
            encoder_function: a function that takes a batch of observations and
                returns a batch of descriptors
            training_function: a function that takes a repertoire, a model
                parameters, an iteration number and a key, and returns an updated
                AuroraExtraInfo
            observations_key: the key to use for the observations in the extra_scores
                of the repertoire
        """
        self._scoring_function = scoring_function
        self._emitter = emitter
        self._metrics_function = metrics_function
        self._encoder_fn = encoder_function
        self._train_fn = training_function

        self.observations_key = observations_key

    def train(
        self,
        repertoire: UnstructuredRepertoire,
        model_params: Params,
        iteration: int,
        key: RNGKey,
    ) -> Tuple[UnstructuredRepertoire, AuroraExtraInfo]:
        observations = repertoire.extra_scores[self.observations_key]

        key, subkey = jax.random.split(key)
        aurora_extra_info = self._train_fn(
            repertoire,
            model_params,
            iteration,
            observations,
            subkey,
        )

        # re-addition of all the new behavioural descriptors with the new ae
        new_descriptors = self._encoder_fn(observations, aurora_extra_info)

        return (
            repertoire.init(
                genotypes=repertoire.genotypes,
                fitnesses=repertoire.fitnesses,
                extra_scores=repertoire.extra_scores,
                keys_extra_scores=repertoire.keys_extra_scores,
                descriptors=new_descriptors,
                l_value=repertoire.l_value,
                max_size=repertoire.max_size,
            ),
            aurora_extra_info,
        )

    def container_size_control(
        self,
        repertoire: UnstructuredRepertoire,
        target_size: int,
        previous_error: jax.Array,
    ) -> Tuple[UnstructuredRepertoire, jax.Array]:
        # update the l value
        num_indivs = jnp.sum(repertoire.fitnesses != -jnp.inf)

        # CVC Implementation to keep a constant number of individuals in the archive
        current_error = num_indivs - target_size
        change_rate = current_error - previous_error
        prop_gain = 1 * 10e-6
        l_value = (
            repertoire.l_value + (prop_gain * current_error) + (prop_gain * change_rate)
        )

        repertoire = repertoire.init(
            genotypes=repertoire.genotypes,
            fitnesses=repertoire.fitnesses,
            extra_scores=repertoire.extra_scores,
            keys_extra_scores=repertoire.keys_extra_scores,
            descriptors=repertoire.descriptors,
            l_value=l_value,
            max_size=repertoire.max_size,
        )

        return repertoire, current_error

    def init(
        self,
        genotypes: Genotype,
        aurora_extra_info: AuroraExtraInfo,
        l_value: jax.Array,
        max_size: int,
        key: RNGKey,
    ) -> Tuple[
        UnstructuredRepertoire, Optional[EmitterState], Metrics, AuroraExtraInfo
    ]:
        """Initialize an unstructured repertoire with an initial population of
        genotypes. Also performs the first training of the AURORA encoder.

        Args:
            genotypes: initial genotypes, pytree in which leaves
                have shape (batch_size, num_features)
            aurora_extra_info: information to perform AURORA encodings,
                such as the encoder parameters
            l_value: threshold distance for the unstructured repertoire
            max_size: maximum size of the repertoire
            key: a random key used for stochastic operations.

        Returns:
            an initialized unstructured repertoire, with the initial state of
            the emitter, and the updated information to perform AURORA encodings
        """
        key, subkey = jax.random.split(key)
        fitnesses, descriptors, extra_scores = self._scoring_function(
            genotypes,
            subkey,
        )  # type: ignore

        return self.init_ask_tell(
            genotypes=genotypes,
            fitnesses=fitnesses,
            descriptors=descriptors,
            aurora_extra_info=aurora_extra_info,
            l_value=l_value,
            max_size=max_size,
            key=key,
            extra_scores=extra_scores,
        )

    def init_ask_tell(
        self,
        genotypes: Genotype,
        fitnesses: Fitness,
        descriptors: Descriptor,
        aurora_extra_info: AuroraExtraInfo,
        l_value: jax.Array,
        max_size: int,
        key: RNGKey,
        extra_scores: Optional[ExtraScores] = None,
    ) -> Tuple[
        UnstructuredRepertoire, Optional[EmitterState], Metrics, AuroraExtraInfo
    ]:
        if extra_scores is None:
            extra_scores = {}

        observations = extra_scores[self.observations_key]

        descriptors = self._encoder_fn(observations, aurora_extra_info)

        repertoire = UnstructuredRepertoire.init(
            genotypes=genotypes,
            fitnesses=fitnesses,
            descriptors=descriptors,
            extra_scores=extra_scores,
            keys_extra_scores=(self.observations_key,),
            l_value=l_value,
            max_size=max_size,
        )

        # get initial state of the emitter
        key, subkey = jax.random.split(key)
        emitter_state = self._emitter.init(
            key=subkey,
            repertoire=repertoire,
            genotypes=genotypes,
            fitnesses=fitnesses,
            descriptors=descriptors,
            extra_scores=extra_scores,
        )

        repertoire, updated_aurora_extra_info = self.train(
            repertoire, aurora_extra_info.model_params, iteration=0, key=key
        )

        # calculate the initial metrics
        metrics = self._metrics_function(repertoire)

        return repertoire, emitter_state, metrics, updated_aurora_extra_info

    def update(
        self,
        repertoire: MapElitesRepertoire,
        emitter_state: Optional[EmitterState],
        key: RNGKey,
        aurora_extra_info: AuroraExtraInfo,
    ) -> Tuple[MapElitesRepertoire, Optional[EmitterState], Metrics]:
        """Main step of the AURORA algorithm.


        Performs one iteration of the AURORA algorithm.
        1. A batch of genotypes is sampled in the archive and the genotypes are copied.
        2. The copies are mutated and crossed-over
        3. The obtained offsprings are scored and then added to the archive.

        Args:
            repertoire: unstructured repertoire
            emitter_state: state of the emitter
            key: a jax PRNG random key
            aurora_extra_info: extra info for computing encodings

        Results:
            the updated MAP-Elites repertoire
            the updated (if needed) emitter state
            metrics about the updated repertoire
            a new key
        """

        if self._scoring_function is None:
            raise ValueError("Scoring function is not set.")

        # generate offsprings with the emitter
        key, subkey = jax.random.split(key)
        genotypes, extra_info = self.ask(repertoire, emitter_state, subkey)

        # scores the offsprings
        key, subkey = jax.random.split(key)
        fitnesses, descriptors, extra_scores = self._scoring_function(
            genotypes,
            subkey,
        )

        repertoire, emitter_state, metrics = self.tell(
            genotypes=genotypes,
            fitnesses=fitnesses,
            descriptors=descriptors,
            repertoire=repertoire,
            emitter_state=emitter_state,
            aurora_extra_info=aurora_extra_info,
            extra_scores=extra_scores,
            extra_info=extra_info,
        )
        return repertoire, emitter_state, metrics

    def ask(
        self,
        repertoire: MapElitesRepertoire,
        emitter_state: Optional[EmitterState],
        key: RNGKey,
    ) -> Tuple[Genotype, ExtraScores]:
        """
        Ask the emitter to generate a new batch of genotypes.

        Args:
            repertoire: the MAP-Elites repertoire
            emitter_state: state of the emitter
            key: a jax PRNG random key
        """
        key, subkey = jax.random.split(key)
        genotypes, extra_info = self._emitter.emit(repertoire, emitter_state, subkey)
        return genotypes, extra_info

    def tell(
        self,
        genotypes: Genotype,
        fitnesses: Fitness,
        descriptors: Descriptor,
        repertoire: MapElitesRepertoire,
        emitter_state: Optional[EmitterState],
        aurora_extra_info: AuroraExtraInfo,
        extra_scores: Optional[ExtraScores] = None,
        extra_info: Optional[ExtraScores] = None,
    ) -> Tuple[MapElitesRepertoire, Optional[EmitterState], Metrics]:
        """
        Add new genotypes to the repertoire and update the emitter state.

        Args:
            genotypes: new genotypes to add to the repertoire
            fitnesses: fitnesses of the new genotypes
            descriptors: descriptors of the new genotypes
            extra_scores: extra scores of the new genotypes
            repertoire: the MAP-Elites repertoire
            emitter_state: state of the emitter
        """
        if extra_scores is None:
            extra_scores = {}
        if extra_info is None:
            extra_info = {}

        observations = extra_scores[self.observations_key]

        descriptors = self._encoder_fn(observations, aurora_extra_info)

        # add genotypes and observations in the repertoire
        repertoire = repertoire.add(
            genotypes,
            descriptors,
            fitnesses,
            extra_scores,
        )

        # update emitter state after scoring is made
        emitter_state = self._emitter.state_update(
            emitter_state=emitter_state,
            repertoire=repertoire,
            genotypes=genotypes,
            fitnesses=fitnesses,
            descriptors=descriptors,
            extra_scores={**extra_scores, **extra_info},
        )

        # update the metrics
        metrics = self._metrics_function(repertoire)

        return repertoire, emitter_state, metrics

__init__(scoring_function, emitter, metrics_function, encoder_function, training_function, observations_key='observations')

Parameters:
  • scoring_function (Optional[Callable[[Genotype, RNGKey], Tuple[Fitness, Descriptor, PyTree]]]) –

    a function that takes a batch of genotypes and compute their fitnesses and descriptors

  • emitter (Emitter) –

    an emitter is used to suggest offsprings given a MAPELites repertoire.

  • metrics_function (Callable[[MapElitesRepertoire], Metrics]) –

    a function that takes a repertoire and computes any useful metric to track its evolution

  • encoder_function (Callable[[Observation, AuroraExtraInfo], Descriptor]) –

    a function that takes a batch of observations and returns a batch of descriptors

  • training_function (Callable[[UnstructuredRepertoire, Params, int, Observation, RNGKey], AuroraExtraInfo]) –

    a function that takes a repertoire, a model parameters, an iteration number and a key, and returns an updated AuroraExtraInfo

  • observations_key (str, default: 'observations' ) –

    the key to use for the observations in the extra_scores of the repertoire

Source code in qdax/core/aurora.py
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
def __init__(
    self,
    scoring_function: Optional[
        Callable[
            [Genotype, RNGKey],
            Tuple[Fitness, Descriptor, PyTree],
        ]
    ],
    emitter: Emitter,
    metrics_function: Callable[[MapElitesRepertoire], Metrics],
    encoder_function: Callable[[Observation, AuroraExtraInfo], Descriptor],
    training_function: Callable[
        [UnstructuredRepertoire, Params, int, Observation, RNGKey],
        AuroraExtraInfo,
    ],
    observations_key: str = "observations",
) -> None:
    """
    Args:
        scoring_function: a function that takes a batch of genotypes and compute
            their fitnesses and descriptors
        emitter: an emitter is used to suggest offsprings given a MAPELites
            repertoire.
        metrics_function: a function that takes a repertoire and computes
            any useful metric to track its evolution
        encoder_function: a function that takes a batch of observations and
            returns a batch of descriptors
        training_function: a function that takes a repertoire, a model
            parameters, an iteration number and a key, and returns an updated
            AuroraExtraInfo
        observations_key: the key to use for the observations in the extra_scores
            of the repertoire
    """
    self._scoring_function = scoring_function
    self._emitter = emitter
    self._metrics_function = metrics_function
    self._encoder_fn = encoder_function
    self._train_fn = training_function

    self.observations_key = observations_key

ask(repertoire, emitter_state, key)

Ask the emitter to generate a new batch of genotypes.

Parameters:
  • repertoire (MapElitesRepertoire) –

    the MAP-Elites repertoire

  • emitter_state (Optional[EmitterState]) –

    state of the emitter

  • key (RNGKey) –

    a jax PRNG random key

Source code in qdax/core/aurora.py
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
def ask(
    self,
    repertoire: MapElitesRepertoire,
    emitter_state: Optional[EmitterState],
    key: RNGKey,
) -> Tuple[Genotype, ExtraScores]:
    """
    Ask the emitter to generate a new batch of genotypes.

    Args:
        repertoire: the MAP-Elites repertoire
        emitter_state: state of the emitter
        key: a jax PRNG random key
    """
    key, subkey = jax.random.split(key)
    genotypes, extra_info = self._emitter.emit(repertoire, emitter_state, subkey)
    return genotypes, extra_info

init(genotypes, aurora_extra_info, l_value, max_size, key)

Initialize an unstructured repertoire with an initial population of genotypes. Also performs the first training of the AURORA encoder.

Parameters:
  • genotypes (Genotype) –

    initial genotypes, pytree in which leaves have shape (batch_size, num_features)

  • aurora_extra_info (AuroraExtraInfo) –

    information to perform AURORA encodings, such as the encoder parameters

  • l_value (Array) –

    threshold distance for the unstructured repertoire

  • max_size (int) –

    maximum size of the repertoire

  • key (RNGKey) –

    a random key used for stochastic operations.

Returns:
  • UnstructuredRepertoire

    an initialized unstructured repertoire, with the initial state of

  • Optional[EmitterState]

    the emitter, and the updated information to perform AURORA encodings

Source code in qdax/core/aurora.py
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
def init(
    self,
    genotypes: Genotype,
    aurora_extra_info: AuroraExtraInfo,
    l_value: jax.Array,
    max_size: int,
    key: RNGKey,
) -> Tuple[
    UnstructuredRepertoire, Optional[EmitterState], Metrics, AuroraExtraInfo
]:
    """Initialize an unstructured repertoire with an initial population of
    genotypes. Also performs the first training of the AURORA encoder.

    Args:
        genotypes: initial genotypes, pytree in which leaves
            have shape (batch_size, num_features)
        aurora_extra_info: information to perform AURORA encodings,
            such as the encoder parameters
        l_value: threshold distance for the unstructured repertoire
        max_size: maximum size of the repertoire
        key: a random key used for stochastic operations.

    Returns:
        an initialized unstructured repertoire, with the initial state of
        the emitter, and the updated information to perform AURORA encodings
    """
    key, subkey = jax.random.split(key)
    fitnesses, descriptors, extra_scores = self._scoring_function(
        genotypes,
        subkey,
    )  # type: ignore

    return self.init_ask_tell(
        genotypes=genotypes,
        fitnesses=fitnesses,
        descriptors=descriptors,
        aurora_extra_info=aurora_extra_info,
        l_value=l_value,
        max_size=max_size,
        key=key,
        extra_scores=extra_scores,
    )

tell(genotypes, fitnesses, descriptors, repertoire, emitter_state, aurora_extra_info, extra_scores=None, extra_info=None)

Add new genotypes to the repertoire and update the emitter state.

Parameters:
  • genotypes (Genotype) –

    new genotypes to add to the repertoire

  • fitnesses (Fitness) –

    fitnesses of the new genotypes

  • descriptors (Descriptor) –

    descriptors of the new genotypes

  • extra_scores (Optional[ExtraScores], default: None ) –

    extra scores of the new genotypes

  • repertoire (MapElitesRepertoire) –

    the MAP-Elites repertoire

  • emitter_state (Optional[EmitterState]) –

    state of the emitter

Source code in qdax/core/aurora.py
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
def tell(
    self,
    genotypes: Genotype,
    fitnesses: Fitness,
    descriptors: Descriptor,
    repertoire: MapElitesRepertoire,
    emitter_state: Optional[EmitterState],
    aurora_extra_info: AuroraExtraInfo,
    extra_scores: Optional[ExtraScores] = None,
    extra_info: Optional[ExtraScores] = None,
) -> Tuple[MapElitesRepertoire, Optional[EmitterState], Metrics]:
    """
    Add new genotypes to the repertoire and update the emitter state.

    Args:
        genotypes: new genotypes to add to the repertoire
        fitnesses: fitnesses of the new genotypes
        descriptors: descriptors of the new genotypes
        extra_scores: extra scores of the new genotypes
        repertoire: the MAP-Elites repertoire
        emitter_state: state of the emitter
    """
    if extra_scores is None:
        extra_scores = {}
    if extra_info is None:
        extra_info = {}

    observations = extra_scores[self.observations_key]

    descriptors = self._encoder_fn(observations, aurora_extra_info)

    # add genotypes and observations in the repertoire
    repertoire = repertoire.add(
        genotypes,
        descriptors,
        fitnesses,
        extra_scores,
    )

    # update emitter state after scoring is made
    emitter_state = self._emitter.state_update(
        emitter_state=emitter_state,
        repertoire=repertoire,
        genotypes=genotypes,
        fitnesses=fitnesses,
        descriptors=descriptors,
        extra_scores={**extra_scores, **extra_info},
    )

    # update the metrics
    metrics = self._metrics_function(repertoire)

    return repertoire, emitter_state, metrics

update(repertoire, emitter_state, key, aurora_extra_info)

Main step of the AURORA algorithm.

Performs one iteration of the AURORA algorithm. 1. A batch of genotypes is sampled in the archive and the genotypes are copied. 2. The copies are mutated and crossed-over 3. The obtained offsprings are scored and then added to the archive.

Parameters:
  • repertoire (MapElitesRepertoire) –

    unstructured repertoire

  • emitter_state (Optional[EmitterState]) –

    state of the emitter

  • key (RNGKey) –

    a jax PRNG random key

  • aurora_extra_info (AuroraExtraInfo) –

    extra info for computing encodings

Results

the updated MAP-Elites repertoire the updated (if needed) emitter state metrics about the updated repertoire a new key

Source code in qdax/core/aurora.py
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
def update(
    self,
    repertoire: MapElitesRepertoire,
    emitter_state: Optional[EmitterState],
    key: RNGKey,
    aurora_extra_info: AuroraExtraInfo,
) -> Tuple[MapElitesRepertoire, Optional[EmitterState], Metrics]:
    """Main step of the AURORA algorithm.


    Performs one iteration of the AURORA algorithm.
    1. A batch of genotypes is sampled in the archive and the genotypes are copied.
    2. The copies are mutated and crossed-over
    3. The obtained offsprings are scored and then added to the archive.

    Args:
        repertoire: unstructured repertoire
        emitter_state: state of the emitter
        key: a jax PRNG random key
        aurora_extra_info: extra info for computing encodings

    Results:
        the updated MAP-Elites repertoire
        the updated (if needed) emitter state
        metrics about the updated repertoire
        a new key
    """

    if self._scoring_function is None:
        raise ValueError("Scoring function is not set.")

    # generate offsprings with the emitter
    key, subkey = jax.random.split(key)
    genotypes, extra_info = self.ask(repertoire, emitter_state, subkey)

    # scores the offsprings
    key, subkey = jax.random.split(key)
    fitnesses, descriptors, extra_scores = self._scoring_function(
        genotypes,
        subkey,
    )

    repertoire, emitter_state, metrics = self.tell(
        genotypes=genotypes,
        fitnesses=fitnesses,
        descriptors=descriptors,
        repertoire=repertoire,
        emitter_state=emitter_state,
        aurora_extra_info=aurora_extra_info,
        extra_scores=extra_scores,
        extra_info=extra_info,
    )
    return repertoire, emitter_state, metrics